Properties

Label 483.2.r.a.34.18
Level $483$
Weight $2$
Character 483.34
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 34.18
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0475988 - 0.0305899i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.829500 + 1.81635i) q^{4} +(-1.34994 + 0.396378i) q^{5} +(0.0514677 - 0.0235045i) q^{6} +(1.78883 + 1.94938i) q^{7} +(0.0321834 + 0.223840i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(0.0475988 - 0.0305899i) q^{2} +(0.989821 + 0.142315i) q^{3} +(-0.829500 + 1.81635i) q^{4} +(-1.34994 + 0.396378i) q^{5} +(0.0514677 - 0.0235045i) q^{6} +(1.78883 + 1.94938i) q^{7} +(0.0321834 + 0.223840i) q^{8} +(0.959493 + 0.281733i) q^{9} +(-0.0521303 + 0.0601616i) q^{10} +(-2.64854 + 4.12121i) q^{11} +(-1.07955 + 1.67981i) q^{12} +(-5.25957 - 4.55745i) q^{13} +(0.144778 + 0.0380678i) q^{14} +(-1.39261 + 0.200227i) q^{15} +(-2.60687 - 3.00849i) q^{16} +(2.10466 + 4.60856i) q^{17} +(0.0542889 - 0.0159407i) q^{18} +(2.25637 - 4.94077i) q^{19} +(0.399813 - 2.78076i) q^{20} +(1.49320 + 2.18411i) q^{21} +0.277184i q^{22} +(-2.49928 + 4.09311i) q^{23} +0.226142i q^{24} +(-2.54105 + 1.63303i) q^{25} +(-0.389762 - 0.0560393i) q^{26} +(0.909632 + 0.415415i) q^{27} +(-5.02459 + 1.63214i) q^{28} +(2.06655 + 4.52510i) q^{29} +(-0.0601616 + 0.0521303i) q^{30} +(6.92521 - 0.995695i) q^{31} +(-0.650077 - 0.190880i) q^{32} +(-3.20809 + 3.70234i) q^{33} +(0.241155 + 0.154981i) q^{34} +(-3.18751 - 1.92249i) q^{35} +(-1.30763 + 1.50908i) q^{36} +(-1.69673 + 5.77852i) q^{37} +(-0.0437369 - 0.304197i) q^{38} +(-4.55745 - 5.25957i) q^{39} +(-0.132171 - 0.289414i) q^{40} +(1.55515 + 5.29634i) q^{41} +(0.137886 + 0.0582844i) q^{42} +(4.87023 + 0.700234i) q^{43} +(-5.28861 - 8.22923i) q^{44} -1.40693 q^{45} +(0.00624494 + 0.271280i) q^{46} -1.42033i q^{47} +(-2.15218 - 3.34886i) q^{48} +(-0.600148 + 6.97423i) q^{49} +(-0.0709966 + 0.155461i) q^{50} +(1.42737 + 4.86117i) q^{51} +(12.6407 - 5.77284i) q^{52} +(9.48338 - 8.21740i) q^{53} +(0.0560049 - 0.00805229i) q^{54} +(1.94181 - 6.61321i) q^{55} +(-0.378779 + 0.463151i) q^{56} +(2.93655 - 4.56936i) q^{57} +(0.236788 + 0.152174i) q^{58} +(-4.73297 - 4.10114i) q^{59} +(0.791486 - 2.69556i) q^{60} +(-0.654784 - 4.55412i) q^{61} +(0.299174 - 0.259236i) q^{62} +(1.16717 + 2.37439i) q^{63} +(7.60232 - 2.23224i) q^{64} +(8.90657 + 4.06750i) q^{65} +(-0.0394474 + 0.274362i) q^{66} +(2.14755 + 3.34165i) q^{67} -10.1166 q^{68} +(-3.05636 + 3.69577i) q^{69} +(-0.210530 + 0.00599740i) q^{70} +(4.34704 - 2.79367i) q^{71} +(-0.0321834 + 0.223840i) q^{72} +(2.71362 + 1.23927i) q^{73} +(0.0960023 + 0.326954i) q^{74} +(-2.74759 + 1.25478i) q^{75} +(7.10251 + 8.19673i) q^{76} +(-12.7716 + 2.20915i) q^{77} +(-0.377819 - 0.110938i) q^{78} +(-3.80573 - 3.29769i) q^{79} +(4.71161 + 3.02797i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.236038 + 0.204528i) q^{82} +(2.35211 + 0.690642i) q^{83} +(-5.20573 + 0.900455i) q^{84} +(-4.66789 - 5.38703i) q^{85} +(0.253238 - 0.115650i) q^{86} +(1.40152 + 4.77314i) q^{87} +(-1.00773 - 0.460216i) q^{88} +(-2.06738 + 14.3789i) q^{89} +(-0.0669682 + 0.0430378i) q^{90} +(-0.524318 - 18.4054i) q^{91} +(-5.36138 - 7.93482i) q^{92} +6.99642 q^{93} +(-0.0434477 - 0.0676059i) q^{94} +(-1.08755 + 7.56411i) q^{95} +(-0.616295 - 0.281453i) q^{96} +(7.20245 - 2.11483i) q^{97} +(0.184775 + 0.350323i) q^{98} +(-3.70234 + 3.20809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0475988 0.0305899i 0.0336575 0.0216303i −0.523704 0.851900i \(-0.675450\pi\)
0.557361 + 0.830270i \(0.311814\pi\)
\(3\) 0.989821 + 0.142315i 0.571474 + 0.0821655i
\(4\) −0.829500 + 1.81635i −0.414750 + 0.908176i
\(5\) −1.34994 + 0.396378i −0.603711 + 0.177265i −0.569283 0.822142i \(-0.692779\pi\)
−0.0344279 + 0.999407i \(0.510961\pi\)
\(6\) 0.0514677 0.0235045i 0.0210116 0.00959568i
\(7\) 1.78883 + 1.94938i 0.676116 + 0.736796i
\(8\) 0.0321834 + 0.223840i 0.0113785 + 0.0791395i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) −0.0521303 + 0.0601616i −0.0164851 + 0.0190248i
\(11\) −2.64854 + 4.12121i −0.798566 + 1.24259i 0.167902 + 0.985804i \(0.446301\pi\)
−0.966467 + 0.256789i \(0.917335\pi\)
\(12\) −1.07955 + 1.67981i −0.311639 + 0.484920i
\(13\) −5.25957 4.55745i −1.45874 1.26401i −0.900875 0.434079i \(-0.857074\pi\)
−0.557869 0.829929i \(-0.688381\pi\)
\(14\) 0.144778 + 0.0380678i 0.0386935 + 0.0101741i
\(15\) −1.39261 + 0.200227i −0.359570 + 0.0516984i
\(16\) −2.60687 3.00849i −0.651718 0.752122i
\(17\) 2.10466 + 4.60856i 0.510455 + 1.11774i 0.972928 + 0.231107i \(0.0742346\pi\)
−0.462474 + 0.886633i \(0.653038\pi\)
\(18\) 0.0542889 0.0159407i 0.0127960 0.00375725i
\(19\) 2.25637 4.94077i 0.517647 1.13349i −0.452675 0.891675i \(-0.649530\pi\)
0.970323 0.241814i \(-0.0777424\pi\)
\(20\) 0.399813 2.78076i 0.0894008 0.621797i
\(21\) 1.49320 + 2.18411i 0.325843 + 0.476613i
\(22\) 0.277184i 0.0590958i
\(23\) −2.49928 + 4.09311i −0.521137 + 0.853473i
\(24\) 0.226142i 0.0461611i
\(25\) −2.54105 + 1.63303i −0.508210 + 0.326607i
\(26\) −0.389762 0.0560393i −0.0764385 0.0109902i
\(27\) 0.909632 + 0.415415i 0.175059 + 0.0799467i
\(28\) −5.02459 + 1.63214i −0.949559 + 0.308446i
\(29\) 2.06655 + 4.52510i 0.383748 + 0.840290i 0.998663 + 0.0516971i \(0.0164630\pi\)
−0.614915 + 0.788593i \(0.710810\pi\)
\(30\) −0.0601616 + 0.0521303i −0.0109840 + 0.00951765i
\(31\) 6.92521 0.995695i 1.24380 0.178832i 0.511185 0.859471i \(-0.329207\pi\)
0.732619 + 0.680639i \(0.238298\pi\)
\(32\) −0.650077 0.190880i −0.114919 0.0337431i
\(33\) −3.20809 + 3.70234i −0.558458 + 0.644494i
\(34\) 0.241155 + 0.154981i 0.0413577 + 0.0265790i
\(35\) −3.18751 1.92249i −0.538787 0.324959i
\(36\) −1.30763 + 1.50908i −0.217938 + 0.251513i
\(37\) −1.69673 + 5.77852i −0.278940 + 0.949983i 0.694202 + 0.719780i \(0.255757\pi\)
−0.973143 + 0.230203i \(0.926061\pi\)
\(38\) −0.0437369 0.304197i −0.00709507 0.0493473i
\(39\) −4.55745 5.25957i −0.729776 0.842206i
\(40\) −0.132171 0.289414i −0.0208981 0.0457604i
\(41\) 1.55515 + 5.29634i 0.242873 + 0.827150i 0.987221 + 0.159358i \(0.0509423\pi\)
−0.744348 + 0.667792i \(0.767240\pi\)
\(42\) 0.137886 + 0.0582844i 0.0212763 + 0.00899348i
\(43\) 4.87023 + 0.700234i 0.742704 + 0.106785i 0.503271 0.864128i \(-0.332130\pi\)
0.239432 + 0.970913i \(0.423039\pi\)
\(44\) −5.28861 8.22923i −0.797288 1.24060i
\(45\) −1.40693 −0.209733
\(46\) 0.00624494 + 0.271280i 0.000920766 + 0.0399981i
\(47\) 1.42033i 0.207176i −0.994620 0.103588i \(-0.966968\pi\)
0.994620 0.103588i \(-0.0330323\pi\)
\(48\) −2.15218 3.34886i −0.310641 0.483367i
\(49\) −0.600148 + 6.97423i −0.0857354 + 0.996318i
\(50\) −0.0709966 + 0.155461i −0.0100404 + 0.0219855i
\(51\) 1.42737 + 4.86117i 0.199872 + 0.680701i
\(52\) 12.6407 5.77284i 1.75296 0.800548i
\(53\) 9.48338 8.21740i 1.30264 1.12875i 0.319169 0.947698i \(-0.396596\pi\)
0.983474 0.181049i \(-0.0579491\pi\)
\(54\) 0.0560049 0.00805229i 0.00762131 0.00109578i
\(55\) 1.94181 6.61321i 0.261834 0.891725i
\(56\) −0.378779 + 0.463151i −0.0506165 + 0.0618911i
\(57\) 2.93655 4.56936i 0.388956 0.605227i
\(58\) 0.236788 + 0.152174i 0.0310917 + 0.0199814i
\(59\) −4.73297 4.10114i −0.616181 0.533924i 0.289885 0.957062i \(-0.406383\pi\)
−0.906065 + 0.423138i \(0.860929\pi\)
\(60\) 0.791486 2.69556i 0.102180 0.347995i
\(61\) −0.654784 4.55412i −0.0838365 0.583096i −0.987829 0.155547i \(-0.950286\pi\)
0.903992 0.427549i \(-0.140623\pi\)
\(62\) 0.299174 0.259236i 0.0379951 0.0329229i
\(63\) 1.16717 + 2.37439i 0.147050 + 0.299145i
\(64\) 7.60232 2.23224i 0.950290 0.279030i
\(65\) 8.90657 + 4.06750i 1.10472 + 0.504511i
\(66\) −0.0394474 + 0.274362i −0.00485563 + 0.0337717i
\(67\) 2.14755 + 3.34165i 0.262364 + 0.408247i 0.947296 0.320361i \(-0.103804\pi\)
−0.684931 + 0.728608i \(0.740168\pi\)
\(68\) −10.1166 −1.22682
\(69\) −3.05636 + 3.69577i −0.367942 + 0.444918i
\(70\) −0.210530 + 0.00599740i −0.0251632 + 0.000716827i
\(71\) 4.34704 2.79367i 0.515899 0.331548i −0.256649 0.966505i \(-0.582618\pi\)
0.772548 + 0.634957i \(0.218982\pi\)
\(72\) −0.0321834 + 0.223840i −0.00379285 + 0.0263798i
\(73\) 2.71362 + 1.23927i 0.317605 + 0.145045i 0.567838 0.823140i \(-0.307780\pi\)
−0.250233 + 0.968186i \(0.580507\pi\)
\(74\) 0.0960023 + 0.326954i 0.0111600 + 0.0380076i
\(75\) −2.74759 + 1.25478i −0.317264 + 0.144890i
\(76\) 7.10251 + 8.19673i 0.814714 + 0.940230i
\(77\) −12.7716 + 2.20915i −1.45546 + 0.251757i
\(78\) −0.377819 0.110938i −0.0427796 0.0125612i
\(79\) −3.80573 3.29769i −0.428178 0.371019i 0.413947 0.910301i \(-0.364150\pi\)
−0.842125 + 0.539283i \(0.818695\pi\)
\(80\) 4.71161 + 3.02797i 0.526774 + 0.338537i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 0.236038 + 0.204528i 0.0260660 + 0.0225863i
\(83\) 2.35211 + 0.690642i 0.258178 + 0.0758078i 0.408260 0.912866i \(-0.366136\pi\)
−0.150082 + 0.988674i \(0.547954\pi\)
\(84\) −5.20573 + 0.900455i −0.567992 + 0.0982477i
\(85\) −4.66789 5.38703i −0.506304 0.584306i
\(86\) 0.253238 0.115650i 0.0273073 0.0124708i
\(87\) 1.40152 + 4.77314i 0.150259 + 0.511735i
\(88\) −1.00773 0.460216i −0.107425 0.0490592i
\(89\) −2.06738 + 14.3789i −0.219141 + 1.52416i 0.522077 + 0.852898i \(0.325157\pi\)
−0.741218 + 0.671264i \(0.765752\pi\)
\(90\) −0.0669682 + 0.0430378i −0.00705907 + 0.00453659i
\(91\) −0.524318 18.4054i −0.0549634 1.92941i
\(92\) −5.36138 7.93482i −0.558962 0.827262i
\(93\) 6.99642 0.725495
\(94\) −0.0434477 0.0676059i −0.00448128 0.00697301i
\(95\) −1.08755 + 7.56411i −0.111581 + 0.776061i
\(96\) −0.616295 0.281453i −0.0629004 0.0287256i
\(97\) 7.20245 2.11483i 0.731298 0.214728i 0.105176 0.994454i \(-0.466459\pi\)
0.626122 + 0.779725i \(0.284641\pi\)
\(98\) 0.184775 + 0.350323i 0.0186651 + 0.0353880i
\(99\) −3.70234 + 3.20809i −0.372099 + 0.322426i
\(100\) −0.858362 5.97004i −0.0858362 0.597004i
\(101\) −0.0261068 + 0.0889116i −0.00259772 + 0.00884704i −0.960782 0.277306i \(-0.910558\pi\)
0.958184 + 0.286153i \(0.0923766\pi\)
\(102\) 0.216644 + 0.187723i 0.0214510 + 0.0185874i
\(103\) −2.21636 1.42437i −0.218384 0.140347i 0.426875 0.904311i \(-0.359614\pi\)
−0.645259 + 0.763963i \(0.723251\pi\)
\(104\) 0.850870 1.32398i 0.0834347 0.129827i
\(105\) −2.88146 2.35655i −0.281202 0.229975i
\(106\) 0.200028 0.681234i 0.0194285 0.0661673i
\(107\) 14.7823 2.12538i 1.42906 0.205468i 0.616047 0.787710i \(-0.288733\pi\)
0.813016 + 0.582242i \(0.197824\pi\)
\(108\) −1.50908 + 1.30763i −0.145211 + 0.125826i
\(109\) 3.27957 1.49773i 0.314126 0.143457i −0.252112 0.967698i \(-0.581125\pi\)
0.566239 + 0.824241i \(0.308398\pi\)
\(110\) −0.109869 0.374181i −0.0104756 0.0356768i
\(111\) −2.50183 + 5.47824i −0.237463 + 0.519971i
\(112\) 1.20142 10.4635i 0.113524 0.988704i
\(113\) −6.71818 10.4537i −0.631993 0.983400i −0.998593 0.0530219i \(-0.983115\pi\)
0.366600 0.930379i \(-0.380522\pi\)
\(114\) 0.307325i 0.0287836i
\(115\) 1.75146 6.51611i 0.163325 0.607631i
\(116\) −9.93338 −0.922291
\(117\) −3.76254 5.85463i −0.347847 0.541261i
\(118\) −0.350738 0.0504285i −0.0322880 0.00464232i
\(119\) −5.21894 + 12.3467i −0.478419 + 1.13182i
\(120\) −0.0896377 0.305278i −0.00818277 0.0278680i
\(121\) −5.40006 11.8245i −0.490914 1.07495i
\(122\) −0.170477 0.196741i −0.0154343 0.0178121i
\(123\) 0.785569 + 5.46375i 0.0708324 + 0.492650i
\(124\) −3.93593 + 13.4045i −0.353457 + 1.20376i
\(125\) 7.38967 8.52814i 0.660953 0.762780i
\(126\) 0.128188 + 0.0773144i 0.0114199 + 0.00688772i
\(127\) 12.1884 + 7.83304i 1.08155 + 0.695070i 0.954915 0.296880i \(-0.0959460\pi\)
0.126635 + 0.991949i \(0.459582\pi\)
\(128\) 1.18094 1.36288i 0.104382 0.120463i
\(129\) 4.72101 + 1.38621i 0.415662 + 0.122049i
\(130\) 0.548367 0.0788432i 0.0480950 0.00691501i
\(131\) −4.06816 + 3.52508i −0.355437 + 0.307988i −0.814215 0.580563i \(-0.802833\pi\)
0.458779 + 0.888551i \(0.348287\pi\)
\(132\) −4.06364 8.89812i −0.353694 0.774482i
\(133\) 13.6677 4.43969i 1.18514 0.384970i
\(134\) 0.204441 + 0.0933652i 0.0176610 + 0.00806553i
\(135\) −1.39261 0.200227i −0.119857 0.0172328i
\(136\) −0.963847 + 0.619427i −0.0826492 + 0.0531154i
\(137\) 8.00576i 0.683978i −0.939704 0.341989i \(-0.888899\pi\)
0.939704 0.341989i \(-0.111101\pi\)
\(138\) −0.0324258 + 0.269408i −0.00276027 + 0.0229335i
\(139\) 2.51221i 0.213083i 0.994308 + 0.106541i \(0.0339777\pi\)
−0.994308 + 0.106541i \(0.966022\pi\)
\(140\) 6.13595 4.19493i 0.518582 0.354536i
\(141\) 0.202133 1.40587i 0.0170227 0.118396i
\(142\) 0.121456 0.265951i 0.0101923 0.0223181i
\(143\) 32.7124 9.60524i 2.73555 0.803230i
\(144\) −1.65368 3.62106i −0.137807 0.301755i
\(145\) −4.58336 5.28948i −0.380627 0.439267i
\(146\) 0.167074 0.0240216i 0.0138272 0.00198804i
\(147\) −1.58657 + 6.81783i −0.130858 + 0.562325i
\(148\) −9.08839 7.87514i −0.747061 0.647332i
\(149\) 0.504008 0.784251i 0.0412899 0.0642484i −0.819995 0.572371i \(-0.806024\pi\)
0.861285 + 0.508122i \(0.169660\pi\)
\(150\) −0.0923984 + 0.143775i −0.00754430 + 0.0117392i
\(151\) −0.128273 + 0.148035i −0.0104387 + 0.0120469i −0.760945 0.648816i \(-0.775264\pi\)
0.750506 + 0.660863i \(0.229810\pi\)
\(152\) 1.17856 + 0.346057i 0.0955939 + 0.0280689i
\(153\) 0.721024 + 5.01483i 0.0582913 + 0.405425i
\(154\) −0.540336 + 0.495836i −0.0435415 + 0.0399556i
\(155\) −8.95394 + 4.08913i −0.719198 + 0.328447i
\(156\) 13.3336 3.91511i 1.06755 0.313460i
\(157\) 1.98163 4.33915i 0.158151 0.346302i −0.813925 0.580971i \(-0.802673\pi\)
0.972075 + 0.234668i \(0.0754004\pi\)
\(158\) −0.282024 0.0405490i −0.0224367 0.00322590i
\(159\) 10.5563 6.78413i 0.837170 0.538017i
\(160\) 0.953225 0.0753590
\(161\) −12.4498 + 2.44985i −0.981184 + 0.193075i
\(162\) 0.0565808 0.00444541
\(163\) −9.63267 + 6.19054i −0.754489 + 0.484881i −0.860479 0.509487i \(-0.829835\pi\)
0.105989 + 0.994367i \(0.466199\pi\)
\(164\) −10.9100 1.56862i −0.851929 0.122489i
\(165\) 2.86321 6.26955i 0.222900 0.488084i
\(166\) 0.133084 0.0390771i 0.0103294 0.00303297i
\(167\) −11.7877 + 5.38326i −0.912160 + 0.416570i −0.815506 0.578749i \(-0.803541\pi\)
−0.0966540 + 0.995318i \(0.530814\pi\)
\(168\) −0.440837 + 0.404531i −0.0340113 + 0.0312102i
\(169\) 5.04271 + 35.0728i 0.387900 + 2.69791i
\(170\) −0.386975 0.113626i −0.0296796 0.00871472i
\(171\) 3.55695 4.10494i 0.272007 0.313912i
\(172\) −5.31173 + 8.26522i −0.405016 + 0.630217i
\(173\) 7.64426 11.8947i 0.581182 0.904337i −0.418811 0.908073i \(-0.637553\pi\)
0.999993 + 0.00373646i \(0.00118936\pi\)
\(174\) 0.212721 + 0.184324i 0.0161263 + 0.0139735i
\(175\) −7.72891 2.03224i −0.584251 0.153623i
\(176\) 19.3030 2.77536i 1.45502 0.209200i
\(177\) −4.10114 4.73297i −0.308261 0.355752i
\(178\) 0.341445 + 0.747661i 0.0255924 + 0.0560395i
\(179\) −4.46250 + 1.31031i −0.333543 + 0.0979370i −0.444216 0.895920i \(-0.646518\pi\)
0.110673 + 0.993857i \(0.464699\pi\)
\(180\) 1.16705 2.55548i 0.0869866 0.190474i
\(181\) 1.76219 12.2563i 0.130983 0.911005i −0.813294 0.581853i \(-0.802328\pi\)
0.944277 0.329152i \(-0.106763\pi\)
\(182\) −0.587977 0.860037i −0.0435838 0.0637502i
\(183\) 4.60095i 0.340112i
\(184\) −0.996640 0.427711i −0.0734733 0.0315313i
\(185\) 8.47319i 0.622962i
\(186\) 0.333022 0.214020i 0.0244183 0.0156927i
\(187\) −24.5671 3.53222i −1.79653 0.258302i
\(188\) 2.57981 + 1.17816i 0.188152 + 0.0859262i
\(189\) 0.817380 + 2.51632i 0.0594556 + 0.183036i
\(190\) 0.179619 + 0.393311i 0.0130309 + 0.0285338i
\(191\) 3.33300 2.88806i 0.241167 0.208973i −0.525888 0.850554i \(-0.676267\pi\)
0.767055 + 0.641581i \(0.221721\pi\)
\(192\) 7.84262 1.12760i 0.565992 0.0813774i
\(193\) 20.6045 + 6.05003i 1.48314 + 0.435491i 0.920347 0.391104i \(-0.127907\pi\)
0.562798 + 0.826594i \(0.309725\pi\)
\(194\) 0.278136 0.320986i 0.0199690 0.0230454i
\(195\) 8.23705 + 5.29363i 0.589868 + 0.379085i
\(196\) −12.1698 6.87520i −0.869273 0.491086i
\(197\) −17.0842 + 19.7162i −1.21720 + 1.40472i −0.329587 + 0.944125i \(0.606910\pi\)
−0.887610 + 0.460596i \(0.847636\pi\)
\(198\) −0.0780917 + 0.265956i −0.00554973 + 0.0189007i
\(199\) 1.04774 + 7.28718i 0.0742722 + 0.516574i 0.992664 + 0.120903i \(0.0385790\pi\)
−0.918392 + 0.395671i \(0.870512\pi\)
\(200\) −0.447318 0.516233i −0.0316302 0.0365032i
\(201\) 1.65012 + 3.61326i 0.116391 + 0.254860i
\(202\) 0.00147715 + 0.00503069i 0.000103932 + 0.000353958i
\(203\) −5.12443 + 12.1231i −0.359664 + 0.850877i
\(204\) −10.0136 1.43974i −0.701093 0.100802i
\(205\) −4.19870 6.53331i −0.293250 0.456306i
\(206\) −0.149067 −0.0103860
\(207\) −3.55121 + 3.22318i −0.246826 + 0.224027i
\(208\) 27.7041i 1.92093i
\(209\) 14.3859 + 22.3848i 0.995091 + 1.54839i
\(210\) −0.209241 0.0240252i −0.0144390 0.00165790i
\(211\) 5.24009 11.4742i 0.360742 0.789916i −0.639042 0.769171i \(-0.720669\pi\)
0.999785 0.0207441i \(-0.00660352\pi\)
\(212\) 7.05922 + 24.0415i 0.484829 + 1.65118i
\(213\) 4.70038 2.14659i 0.322064 0.147082i
\(214\) 0.638607 0.553356i 0.0436543 0.0378266i
\(215\) −6.85207 + 0.985179i −0.467308 + 0.0671887i
\(216\) −0.0637116 + 0.216982i −0.00433503 + 0.0147637i
\(217\) 14.3290 + 11.7187i 0.972718 + 0.795519i
\(218\) 0.110288 0.171612i 0.00746968 0.0116230i
\(219\) 2.50963 + 1.61284i 0.169585 + 0.108986i
\(220\) 10.4012 + 9.01267i 0.701247 + 0.607634i
\(221\) 9.93366 33.8309i 0.668210 2.27571i
\(222\) 0.0484947 + 0.337288i 0.00325475 + 0.0226373i
\(223\) −9.94344 + 8.61604i −0.665862 + 0.576973i −0.920824 0.389978i \(-0.872482\pi\)
0.254962 + 0.966951i \(0.417937\pi\)
\(224\) −0.790783 1.60870i −0.0528364 0.107486i
\(225\) −2.89820 + 0.850988i −0.193213 + 0.0567325i
\(226\) −0.639555 0.292075i −0.0425426 0.0194285i
\(227\) −0.438918 + 3.05274i −0.0291320 + 0.202618i −0.999189 0.0402586i \(-0.987182\pi\)
0.970057 + 0.242876i \(0.0780909\pi\)
\(228\) 5.86370 + 9.12410i 0.388333 + 0.604258i
\(229\) −7.24870 −0.479008 −0.239504 0.970895i \(-0.576985\pi\)
−0.239504 + 0.970895i \(0.576985\pi\)
\(230\) −0.115960 0.363736i −0.00764616 0.0239841i
\(231\) −12.9560 + 0.369080i −0.852443 + 0.0242837i
\(232\) −0.946393 + 0.608210i −0.0621337 + 0.0399309i
\(233\) −3.67986 + 25.5940i −0.241075 + 1.67672i 0.405677 + 0.914016i \(0.367036\pi\)
−0.646753 + 0.762700i \(0.723873\pi\)
\(234\) −0.358185 0.163578i −0.0234153 0.0106934i
\(235\) 0.562986 + 1.91735i 0.0367251 + 0.125074i
\(236\) 11.3751 5.19484i 0.740457 0.338156i
\(237\) −3.29769 3.80573i −0.214208 0.247209i
\(238\) 0.129270 + 0.747336i 0.00837931 + 0.0484426i
\(239\) −19.1851 5.63325i −1.24098 0.364384i −0.405596 0.914052i \(-0.632936\pi\)
−0.835383 + 0.549668i \(0.814754\pi\)
\(240\) 4.23273 + 3.66768i 0.273222 + 0.236748i
\(241\) −9.63447 6.19169i −0.620610 0.398842i 0.192212 0.981353i \(-0.438434\pi\)
−0.812823 + 0.582511i \(0.802070\pi\)
\(242\) −0.618746 0.397644i −0.0397745 0.0255615i
\(243\) 0.755750 + 0.654861i 0.0484814 + 0.0420093i
\(244\) 8.81503 + 2.58833i 0.564325 + 0.165701i
\(245\) −1.95426 9.65266i −0.124853 0.616686i
\(246\) 0.204528 + 0.236038i 0.0130402 + 0.0150492i
\(247\) −34.3848 + 15.7030i −2.18786 + 0.999160i
\(248\) 0.445754 + 1.51810i 0.0283054 + 0.0963993i
\(249\) 2.22988 + 1.01835i 0.141313 + 0.0645355i
\(250\) 0.0908649 0.631979i 0.00574680 0.0399699i
\(251\) −0.966329 + 0.621022i −0.0609942 + 0.0391986i −0.570783 0.821101i \(-0.693360\pi\)
0.509788 + 0.860300i \(0.329724\pi\)
\(252\) −5.28089 + 0.150437i −0.332665 + 0.00947667i
\(253\) −10.2491 21.1409i −0.644357 1.32912i
\(254\) 0.819768 0.0514368
\(255\) −3.85372 5.99651i −0.241329 0.375516i
\(256\) −2.24068 + 15.5842i −0.140042 + 0.974015i
\(257\) −23.0002 10.5039i −1.43472 0.655212i −0.461929 0.886917i \(-0.652842\pi\)
−0.972786 + 0.231705i \(0.925570\pi\)
\(258\) 0.267119 0.0784331i 0.0166301 0.00488303i
\(259\) −14.2997 + 7.02925i −0.888539 + 0.436777i
\(260\) −14.7760 + 12.8035i −0.916369 + 0.794038i
\(261\) 0.707967 + 4.92402i 0.0438220 + 0.304789i
\(262\) −0.0858077 + 0.292234i −0.00530122 + 0.0180543i
\(263\) −0.295506 0.256057i −0.0182217 0.0157892i 0.645702 0.763589i \(-0.276565\pi\)
−0.663924 + 0.747800i \(0.731110\pi\)
\(264\) −0.931981 0.598948i −0.0573594 0.0368627i
\(265\) −9.54479 + 14.8520i −0.586332 + 0.912350i
\(266\) 0.514757 0.629418i 0.0315618 0.0385921i
\(267\) −4.09267 + 13.9383i −0.250467 + 0.853013i
\(268\) −7.85099 + 1.12880i −0.479576 + 0.0689526i
\(269\) 20.0309 17.3569i 1.22131 1.05827i 0.224830 0.974398i \(-0.427817\pi\)
0.996477 0.0838705i \(-0.0267282\pi\)
\(270\) −0.0724115 + 0.0330692i −0.00440682 + 0.00201253i
\(271\) −1.02205 3.48078i −0.0620851 0.211442i 0.922608 0.385738i \(-0.126053\pi\)
−0.984693 + 0.174296i \(0.944235\pi\)
\(272\) 8.37823 18.3458i 0.508005 1.11237i
\(273\) 2.10038 18.2927i 0.127121 1.10712i
\(274\) −0.244895 0.381065i −0.0147947 0.0230210i
\(275\) 14.7974i 0.892315i
\(276\) −4.17756 8.61706i −0.251460 0.518686i
\(277\) −5.81937 −0.349652 −0.174826 0.984599i \(-0.555936\pi\)
−0.174826 + 0.984599i \(0.555936\pi\)
\(278\) 0.0768483 + 0.119578i 0.00460905 + 0.00717183i
\(279\) 6.92521 + 0.995695i 0.414602 + 0.0596107i
\(280\) 0.327745 0.775365i 0.0195865 0.0463369i
\(281\) −1.19587 4.07275i −0.0713394 0.242960i 0.916102 0.400945i \(-0.131318\pi\)
−0.987441 + 0.157985i \(0.949500\pi\)
\(282\) −0.0333841 0.0731010i −0.00198799 0.00435310i
\(283\) −3.90487 4.50646i −0.232121 0.267881i 0.627726 0.778435i \(-0.283986\pi\)
−0.859846 + 0.510553i \(0.829441\pi\)
\(284\) 1.46842 + 10.2131i 0.0871349 + 0.606037i
\(285\) −2.15297 + 7.33234i −0.127531 + 0.434330i
\(286\) 1.26325 1.45787i 0.0746975 0.0862056i
\(287\) −7.54267 + 12.5058i −0.445230 + 0.738197i
\(288\) −0.569967 0.366296i −0.0335857 0.0215842i
\(289\) −5.67659 + 6.55114i −0.333917 + 0.385361i
\(290\) −0.379967 0.111568i −0.0223124 0.00655152i
\(291\) 7.43011 1.06829i 0.435561 0.0626242i
\(292\) −4.50189 + 3.90091i −0.263453 + 0.228284i
\(293\) 8.87563 + 19.4349i 0.518520 + 1.13540i 0.969997 + 0.243117i \(0.0781701\pi\)
−0.451477 + 0.892283i \(0.649103\pi\)
\(294\) 0.133038 + 0.373054i 0.00775891 + 0.0217569i
\(295\) 8.01482 + 3.66025i 0.466641 + 0.213108i
\(296\) −1.34807 0.193824i −0.0783552 0.0112658i
\(297\) −4.12121 + 2.64854i −0.239137 + 0.153684i
\(298\) 0.0527470i 0.00305555i
\(299\) 31.7993 10.1377i 1.83900 0.586277i
\(300\) 6.03143i 0.348225i
\(301\) 7.34702 + 10.7465i 0.423475 + 0.619420i
\(302\) −0.00157727 + 0.0109702i −9.07619e−5 + 0.000631263i
\(303\) −0.0384945 + 0.0842912i −0.00221145 + 0.00484241i
\(304\) −20.7463 + 6.09167i −1.18988 + 0.349381i
\(305\) 2.68907 + 5.88824i 0.153976 + 0.337160i
\(306\) 0.187723 + 0.216644i 0.0107314 + 0.0123847i
\(307\) 14.9964 2.15615i 0.855888 0.123058i 0.299617 0.954059i \(-0.403141\pi\)
0.556270 + 0.831001i \(0.312232\pi\)
\(308\) 6.58145 25.0302i 0.375013 1.42623i
\(309\) −1.99109 1.72529i −0.113269 0.0981483i
\(310\) −0.301111 + 0.468538i −0.0171020 + 0.0266112i
\(311\) −8.20758 + 12.7712i −0.465409 + 0.724191i −0.992043 0.125901i \(-0.959818\pi\)
0.526633 + 0.850092i \(0.323454\pi\)
\(312\) 1.03063 1.18941i 0.0583480 0.0673372i
\(313\) 16.7901 + 4.93001i 0.949030 + 0.278660i 0.719383 0.694614i \(-0.244425\pi\)
0.229647 + 0.973274i \(0.426243\pi\)
\(314\) −0.0384113 0.267156i −0.00216767 0.0150765i
\(315\) −2.51676 2.74264i −0.141803 0.154530i
\(316\) 9.14661 4.17712i 0.514537 0.234981i
\(317\) 24.2862 7.13106i 1.36405 0.400521i 0.483860 0.875146i \(-0.339235\pi\)
0.880188 + 0.474625i \(0.157416\pi\)
\(318\) 0.294942 0.645833i 0.0165395 0.0362165i
\(319\) −24.1223 3.46826i −1.35059 0.194185i
\(320\) −9.37785 + 6.02678i −0.524238 + 0.336907i
\(321\) 14.9343 0.833554
\(322\) −0.517657 + 0.497449i −0.0288479 + 0.0277218i
\(323\) 27.5187 1.53118
\(324\) −1.67981 + 1.07955i −0.0933230 + 0.0599750i
\(325\) 20.8073 + 2.99164i 1.15418 + 0.165946i
\(326\) −0.269136 + 0.589325i −0.0149061 + 0.0326397i
\(327\) 3.45934 1.01575i 0.191302 0.0561714i
\(328\) −1.13549 + 0.518559i −0.0626967 + 0.0286326i
\(329\) 2.76875 2.54073i 0.152646 0.140075i
\(330\) −0.0554996 0.386008i −0.00305515 0.0212491i
\(331\) −11.9778 3.51699i −0.658358 0.193311i −0.0645454 0.997915i \(-0.520560\pi\)
−0.593813 + 0.804603i \(0.702378\pi\)
\(332\) −3.20553 + 3.69937i −0.175926 + 0.203030i
\(333\) −3.25600 + 5.06643i −0.178427 + 0.277639i
\(334\) −0.396407 + 0.616822i −0.0216905 + 0.0337510i
\(335\) −4.22361 3.65978i −0.230760 0.199955i
\(336\) 2.67830 10.1860i 0.146113 0.555691i
\(337\) 30.0516 4.32076i 1.63701 0.235367i 0.738481 0.674274i \(-0.235543\pi\)
0.898532 + 0.438907i \(0.144634\pi\)
\(338\) 1.31290 + 1.51517i 0.0714124 + 0.0824143i
\(339\) −5.16208 11.3034i −0.280366 0.613915i
\(340\) 13.6568 4.00999i 0.740642 0.217472i
\(341\) −14.2382 + 31.1774i −0.771044 + 1.68835i
\(342\) 0.0437369 0.304197i 0.00236502 0.0164491i
\(343\) −14.6690 + 11.3058i −0.792050 + 0.610457i
\(344\) 1.11269i 0.0599923i
\(345\) 2.66097 6.20053i 0.143262 0.333825i
\(346\) 0.800011i 0.0430088i
\(347\) −25.0146 + 16.0759i −1.34285 + 0.863000i −0.997157 0.0753459i \(-0.975994\pi\)
−0.345697 + 0.938346i \(0.612358\pi\)
\(348\) −9.83227 1.41367i −0.527065 0.0757805i
\(349\) −5.00591 2.28612i −0.267960 0.122373i 0.276904 0.960898i \(-0.410692\pi\)
−0.544864 + 0.838524i \(0.683419\pi\)
\(350\) −0.430053 + 0.139695i −0.0229873 + 0.00746699i
\(351\) −2.89105 6.33051i −0.154313 0.337897i
\(352\) 2.50841 2.17355i 0.133699 0.115851i
\(353\) −14.9420 + 2.14833i −0.795281 + 0.114344i −0.527966 0.849265i \(-0.677045\pi\)
−0.267314 + 0.963609i \(0.586136\pi\)
\(354\) −0.339991 0.0998303i −0.0180703 0.00530592i
\(355\) −4.76089 + 5.49436i −0.252682 + 0.291610i
\(356\) −24.4023 15.6824i −1.29332 0.831166i
\(357\) −6.92294 + 11.4783i −0.366401 + 0.607497i
\(358\) −0.172327 + 0.198876i −0.00910779 + 0.0105109i
\(359\) 5.41046 18.4263i 0.285553 0.972505i −0.684378 0.729127i \(-0.739926\pi\)
0.969932 0.243378i \(-0.0782554\pi\)
\(360\) −0.0452798 0.314928i −0.00238645 0.0165981i
\(361\) −6.87761 7.93718i −0.361979 0.417746i
\(362\) −0.291041 0.637292i −0.0152968 0.0334953i
\(363\) −3.66229 12.4726i −0.192221 0.654643i
\(364\) 33.8656 + 14.3149i 1.77504 + 0.750307i
\(365\) −4.15444 0.597318i −0.217453 0.0312650i
\(366\) −0.140743 0.219000i −0.00735674 0.0114473i
\(367\) 22.2547 1.16168 0.580842 0.814016i \(-0.302723\pi\)
0.580842 + 0.814016i \(0.302723\pi\)
\(368\) 18.8294 3.15115i 0.981550 0.164265i
\(369\) 5.51994i 0.287357i
\(370\) −0.259194 0.403314i −0.0134749 0.0209673i
\(371\) 32.9830 + 3.78714i 1.71239 + 0.196618i
\(372\) −5.80353 + 12.7080i −0.300899 + 0.658877i
\(373\) −0.102307 0.348425i −0.00529724 0.0180408i 0.956802 0.290740i \(-0.0939016\pi\)
−0.962099 + 0.272700i \(0.912083\pi\)
\(374\) −1.27742 + 0.583377i −0.0660537 + 0.0301657i
\(375\) 8.52814 7.38967i 0.440391 0.381601i
\(376\) 0.317926 0.0457109i 0.0163958 0.00235736i
\(377\) 9.75377 33.2183i 0.502345 1.71083i
\(378\) 0.115880 + 0.0947706i 0.00596025 + 0.00487447i
\(379\) −13.0631 + 20.3266i −0.671008 + 1.04411i 0.324168 + 0.946000i \(0.394916\pi\)
−0.995176 + 0.0981089i \(0.968721\pi\)
\(380\) −12.8370 8.24981i −0.658522 0.423206i
\(381\) 10.9496 + 9.48791i 0.560966 + 0.486080i
\(382\) 0.0703014 0.239425i 0.00359693 0.0122500i
\(383\) −3.64663 25.3628i −0.186334 1.29598i −0.841401 0.540411i \(-0.818269\pi\)
0.655068 0.755570i \(-0.272640\pi\)
\(384\) 1.36288 1.18094i 0.0695492 0.0602647i
\(385\) 16.3652 8.04460i 0.834049 0.409991i
\(386\) 1.16582 0.342316i 0.0593387 0.0174234i
\(387\) 4.47568 + 2.04397i 0.227511 + 0.103901i
\(388\) −2.13316 + 14.8364i −0.108295 + 0.753206i
\(389\) 15.3479 + 23.8817i 0.778168 + 1.21085i 0.973178 + 0.230051i \(0.0738894\pi\)
−0.195011 + 0.980801i \(0.562474\pi\)
\(390\) 0.554006 0.0280532
\(391\) −24.1235 2.90350i −1.21998 0.146836i
\(392\) −1.58043 + 0.0901169i −0.0798237 + 0.00455159i
\(393\) −4.52842 + 2.91024i −0.228429 + 0.146802i
\(394\) −0.210070 + 1.46107i −0.0105832 + 0.0736077i
\(395\) 6.44463 + 2.94317i 0.324265 + 0.148087i
\(396\) −2.75594 9.38587i −0.138491 0.471657i
\(397\) 14.1990 6.48446i 0.712627 0.325446i −0.0259052 0.999664i \(-0.508247\pi\)
0.738532 + 0.674219i \(0.235520\pi\)
\(398\) 0.272785 + 0.314811i 0.0136735 + 0.0157800i
\(399\) 14.1604 2.44938i 0.708907 0.122622i
\(400\) 11.5371 + 3.38761i 0.576857 + 0.169381i
\(401\) −16.9452 14.6831i −0.846205 0.733241i 0.119514 0.992833i \(-0.461867\pi\)
−0.965718 + 0.259592i \(0.916412\pi\)
\(402\) 0.189073 + 0.121510i 0.00943011 + 0.00606036i
\(403\) −40.9615 26.3244i −2.04044 1.31131i
\(404\) −0.139839 0.121171i −0.00695726 0.00602850i
\(405\) −1.34994 0.396378i −0.0670790 0.0196962i
\(406\) 0.126929 + 0.733803i 0.00629937 + 0.0364180i
\(407\) −19.3207 22.2972i −0.957690 1.10523i
\(408\) −1.04219 + 0.475952i −0.0515961 + 0.0235631i
\(409\) 1.48966 + 5.07330i 0.0736588 + 0.250859i 0.988089 0.153886i \(-0.0491787\pi\)
−0.914430 + 0.404744i \(0.867361\pi\)
\(410\) −0.399707 0.182540i −0.0197401 0.00901501i
\(411\) 1.13934 7.92427i 0.0561994 0.390875i
\(412\) 4.42562 2.84417i 0.218035 0.140122i
\(413\) −0.471822 16.5626i −0.0232168 0.814993i
\(414\) −0.0704365 + 0.262051i −0.00346177 + 0.0128791i
\(415\) −3.44896 −0.169303
\(416\) 2.54920 + 3.96664i 0.124985 + 0.194481i
\(417\) −0.357525 + 2.48664i −0.0175081 + 0.121771i
\(418\) 1.36950 + 0.625430i 0.0669844 + 0.0305908i
\(419\) −29.2005 + 8.57405i −1.42654 + 0.418870i −0.901712 0.432338i \(-0.857689\pi\)
−0.524828 + 0.851208i \(0.675871\pi\)
\(420\) 6.67049 3.27899i 0.325487 0.159999i
\(421\) 21.5132 18.6413i 1.04849 0.908523i 0.0525582 0.998618i \(-0.483262\pi\)
0.995933 + 0.0900949i \(0.0287170\pi\)
\(422\) −0.101572 0.706452i −0.00494447 0.0343895i
\(423\) 0.400152 1.36279i 0.0194561 0.0662613i
\(424\) 2.14459 + 1.85830i 0.104151 + 0.0902471i
\(425\) −12.8740 8.27360i −0.624479 0.401328i
\(426\) 0.158068 0.245959i 0.00765844 0.0119168i
\(427\) 7.70641 9.42299i 0.372939 0.456011i
\(428\) −8.40151 + 28.6129i −0.406102 + 1.38306i
\(429\) 33.7464 4.85200i 1.62929 0.234257i
\(430\) −0.296014 + 0.256498i −0.0142751 + 0.0123694i
\(431\) 18.5975 8.49321i 0.895812 0.409103i 0.0863422 0.996266i \(-0.472482\pi\)
0.809469 + 0.587162i \(0.199755\pi\)
\(432\) −1.12152 3.81955i −0.0539592 0.183768i
\(433\) −13.8669 + 30.3643i −0.666402 + 1.45922i 0.210031 + 0.977695i \(0.432643\pi\)
−0.876434 + 0.481523i \(0.840084\pi\)
\(434\) 1.04052 + 0.119473i 0.0499466 + 0.00573491i
\(435\) −3.78394 5.88792i −0.181426 0.282304i
\(436\) 7.19923i 0.344781i
\(437\) 14.5838 + 21.5840i 0.697638 + 1.03250i
\(438\) 0.168792 0.00806520
\(439\) −18.6956 29.0909i −0.892292 1.38843i −0.921299 0.388854i \(-0.872871\pi\)
0.0290071 0.999579i \(-0.490765\pi\)
\(440\) 1.54280 + 0.221821i 0.0735500 + 0.0105749i
\(441\) −2.54070 + 6.52264i −0.120986 + 0.310602i
\(442\) −0.562055 1.91418i −0.0267342 0.0910484i
\(443\) −6.92402 15.1615i −0.328970 0.720344i 0.670803 0.741636i \(-0.265950\pi\)
−0.999773 + 0.0212912i \(0.993222\pi\)
\(444\) −7.87514 9.08839i −0.373738 0.431316i
\(445\) −2.90865 20.2301i −0.137883 0.959000i
\(446\) −0.209732 + 0.714282i −0.00993111 + 0.0338223i
\(447\) 0.610488 0.704541i 0.0288751 0.0333236i
\(448\) 17.9508 + 10.8267i 0.848094 + 0.511513i
\(449\) 3.37559 + 2.16936i 0.159304 + 0.102378i 0.617864 0.786285i \(-0.287998\pi\)
−0.458560 + 0.888663i \(0.651635\pi\)
\(450\) −0.111919 + 0.129162i −0.00527592 + 0.00608874i
\(451\) −25.9462 7.61850i −1.22176 0.358741i
\(452\) 24.5603 3.53124i 1.15522 0.166096i
\(453\) −0.148035 + 0.128273i −0.00695530 + 0.00602680i
\(454\) 0.0724912 + 0.158734i 0.00340218 + 0.00744973i
\(455\) 8.00329 + 24.6383i 0.375200 + 1.15506i
\(456\) 1.11732 + 0.510261i 0.0523231 + 0.0238952i
\(457\) −0.734263 0.105571i −0.0343474 0.00493840i 0.125120 0.992142i \(-0.460068\pi\)
−0.159467 + 0.987203i \(0.550978\pi\)
\(458\) −0.345030 + 0.221737i −0.0161222 + 0.0103611i
\(459\) 5.06640i 0.236479i
\(460\) 10.3827 + 8.58639i 0.484097 + 0.400342i
\(461\) 27.0803i 1.26125i −0.776086 0.630627i \(-0.782798\pi\)
0.776086 0.630627i \(-0.217202\pi\)
\(462\) −0.605401 + 0.413891i −0.0281658 + 0.0192559i
\(463\) 0.730610 5.08151i 0.0339543 0.236158i −0.965776 0.259377i \(-0.916483\pi\)
0.999730 + 0.0232198i \(0.00739174\pi\)
\(464\) 8.22651 18.0135i 0.381906 0.836257i
\(465\) −9.44474 + 2.77323i −0.437989 + 0.128605i
\(466\) 0.607760 + 1.33081i 0.0281540 + 0.0616486i
\(467\) 3.29824 + 3.80637i 0.152624 + 0.176138i 0.826913 0.562330i \(-0.190095\pi\)
−0.674288 + 0.738468i \(0.735550\pi\)
\(468\) 13.7551 1.97769i 0.635830 0.0914185i
\(469\) −2.67253 + 10.1640i −0.123406 + 0.469331i
\(470\) 0.0854491 + 0.0740421i 0.00394147 + 0.00341531i
\(471\) 2.57898 4.01297i 0.118833 0.184908i
\(472\) 0.765679 1.19142i 0.0352432 0.0548395i
\(473\) −15.7848 + 18.2167i −0.725788 + 0.837604i
\(474\) −0.273383 0.0802725i −0.0125569 0.00368704i
\(475\) 2.33488 + 16.2395i 0.107132 + 0.745118i
\(476\) −18.0969 19.7210i −0.829469 0.903912i
\(477\) 11.4143 5.21276i 0.522627 0.238676i
\(478\) −1.08551 + 0.318734i −0.0496500 + 0.0145785i
\(479\) 6.05423 13.2569i 0.276625 0.605724i −0.719420 0.694575i \(-0.755592\pi\)
0.996045 + 0.0888512i \(0.0283196\pi\)
\(480\) 0.943522 + 0.135658i 0.0430657 + 0.00619191i
\(481\) 35.2594 22.6598i 1.60769 1.03320i
\(482\) −0.647993 −0.0295153
\(483\) −12.6718 + 0.653118i −0.576585 + 0.0297179i
\(484\) 25.9568 1.17985
\(485\) −8.88459 + 5.70978i −0.403428 + 0.259268i
\(486\) 0.0560049 + 0.00805229i 0.00254044 + 0.000365259i
\(487\) 10.2767 22.5029i 0.465683 1.01970i −0.520473 0.853878i \(-0.674244\pi\)
0.986155 0.165825i \(-0.0530285\pi\)
\(488\) 0.998324 0.293134i 0.0451920 0.0132696i
\(489\) −10.4156 + 4.75666i −0.471011 + 0.215104i
\(490\) −0.388295 0.399675i −0.0175414 0.0180555i
\(491\) −0.509981 3.54699i −0.0230151 0.160074i 0.975073 0.221886i \(-0.0712212\pi\)
−0.998088 + 0.0618120i \(0.980312\pi\)
\(492\) −10.5757 3.10531i −0.476791 0.139998i
\(493\) −16.5048 + 19.0476i −0.743340 + 0.857860i
\(494\) −1.15632 + 1.79928i −0.0520255 + 0.0809532i
\(495\) 3.72631 5.79826i 0.167485 0.260612i
\(496\) −21.0487 18.2388i −0.945113 0.818945i
\(497\) 13.2221 + 3.47661i 0.593090 + 0.155947i
\(498\) 0.137291 0.0197395i 0.00615216 0.000884547i
\(499\) −4.75481 5.48734i −0.212854 0.245647i 0.639275 0.768978i \(-0.279235\pi\)
−0.852129 + 0.523331i \(0.824689\pi\)
\(500\) 9.36037 + 20.4963i 0.418608 + 0.916624i
\(501\) −12.4338 + 3.65091i −0.555503 + 0.163110i
\(502\) −0.0269991 + 0.0591199i −0.00120503 + 0.00263865i
\(503\) −1.19458 + 8.30847i −0.0532636 + 0.370456i 0.945704 + 0.325029i \(0.105374\pi\)
−0.998968 + 0.0454273i \(0.985535\pi\)
\(504\) −0.493920 + 0.337676i −0.0220010 + 0.0150413i
\(505\) 0.130373i 0.00580154i
\(506\) −1.13454 0.692761i −0.0504366 0.0307970i
\(507\) 35.4335i 1.57365i
\(508\) −24.3379 + 15.6410i −1.07982 + 0.693957i
\(509\) 19.2051 + 2.76128i 0.851252 + 0.122392i 0.554112 0.832442i \(-0.313058\pi\)
0.297140 + 0.954834i \(0.403967\pi\)
\(510\) −0.366865 0.167542i −0.0162451 0.00741888i
\(511\) 2.43841 + 7.50671i 0.107869 + 0.332077i
\(512\) 1.86834 + 4.09110i 0.0825699 + 0.180803i
\(513\) 4.10494 3.55695i 0.181237 0.157043i
\(514\) −1.41610 + 0.203604i −0.0624613 + 0.00898058i
\(515\) 3.55654 + 1.04429i 0.156720 + 0.0460171i
\(516\) −6.43393 + 7.42515i −0.283238 + 0.326874i
\(517\) 5.85347 + 3.76180i 0.257435 + 0.165444i
\(518\) −0.465624 + 0.772010i −0.0204583 + 0.0339202i
\(519\) 9.25924 10.6857i 0.406436 0.469052i
\(520\) −0.623826 + 2.12456i −0.0273566 + 0.0931680i
\(521\) −2.89627 20.1440i −0.126888 0.882525i −0.949465 0.313872i \(-0.898374\pi\)
0.822577 0.568653i \(-0.192535\pi\)
\(522\) 0.184324 + 0.212721i 0.00806763 + 0.00931054i
\(523\) −7.50358 16.4306i −0.328109 0.718458i 0.671640 0.740878i \(-0.265590\pi\)
−0.999749 + 0.0224197i \(0.992863\pi\)
\(524\) −3.02825 10.3133i −0.132290 0.450537i
\(525\) −7.36103 3.11149i −0.321262 0.135797i
\(526\) −0.0218985 0.00314853i −0.000954821 0.000137283i
\(527\) 19.1639 + 29.8196i 0.834793 + 1.29896i
\(528\) 19.5015 0.848695
\(529\) −10.5072 20.4597i −0.456833 0.889553i
\(530\) 0.998911i 0.0433899i
\(531\) −3.38583 5.26845i −0.146932 0.228631i
\(532\) −3.27332 + 28.5081i −0.141916 + 1.23598i
\(533\) 15.9584 34.9440i 0.691235 1.51359i
\(534\) 0.231567 + 0.788643i 0.0100209 + 0.0341279i
\(535\) −19.1128 + 8.72852i −0.826318 + 0.377367i
\(536\) −0.678880 + 0.588253i −0.0293232 + 0.0254087i
\(537\) −4.60355 + 0.661891i −0.198658 + 0.0285627i
\(538\) 0.422503 1.43891i 0.0182154 0.0620359i
\(539\) −27.1528 20.9449i −1.16955 0.902160i
\(540\) 1.51885 2.36338i 0.0653610 0.101704i
\(541\) −9.31254 5.98481i −0.400377 0.257307i 0.324922 0.945741i \(-0.394662\pi\)
−0.725299 + 0.688434i \(0.758298\pi\)
\(542\) −0.155125 0.134417i −0.00666320 0.00577369i
\(543\) 3.48851 11.8808i 0.149706 0.509853i
\(544\) −0.488509 3.39766i −0.0209447 0.145673i
\(545\) −3.83356 + 3.32180i −0.164212 + 0.142290i
\(546\) −0.459596 0.934961i −0.0196689 0.0400127i
\(547\) −19.8510 + 5.82879i −0.848768 + 0.249221i −0.677061 0.735927i \(-0.736747\pi\)
−0.171708 + 0.985148i \(0.554928\pi\)
\(548\) 14.5413 + 6.64078i 0.621172 + 0.283680i
\(549\) 0.654784 4.55412i 0.0279455 0.194365i
\(550\) −0.452650 0.704337i −0.0193011 0.0300330i
\(551\) 27.0204 1.15111
\(552\) −0.925626 0.565194i −0.0393972 0.0240562i
\(553\) −0.379387 13.3178i −0.0161332 0.566331i
\(554\) −0.276995 + 0.178014i −0.0117684 + 0.00756309i
\(555\) 1.20586 8.38695i 0.0511860 0.356006i
\(556\) −4.56306 2.08388i −0.193517 0.0883762i
\(557\) 2.03114 + 6.91744i 0.0860624 + 0.293102i 0.991266 0.131876i \(-0.0421001\pi\)
−0.905204 + 0.424978i \(0.860282\pi\)
\(558\) 0.360090 0.164448i 0.0152438 0.00696163i
\(559\) −22.4241 25.8788i −0.948438 1.09456i
\(560\) 2.52564 + 14.6012i 0.106728 + 0.617015i
\(561\) −23.8144 6.99254i −1.00544 0.295225i
\(562\) −0.181507 0.157277i −0.00765641 0.00663431i
\(563\) −3.27752 2.10634i −0.138131 0.0887715i 0.469750 0.882799i \(-0.344344\pi\)
−0.607881 + 0.794028i \(0.707980\pi\)
\(564\) 2.38588 + 1.53331i 0.100464 + 0.0645642i
\(565\) 13.2127 + 11.4489i 0.555864 + 0.481659i
\(566\) −0.323720 0.0950527i −0.0136070 0.00399536i
\(567\) 0.450949 + 2.60704i 0.0189381 + 0.109485i
\(568\) 0.765240 + 0.883134i 0.0321087 + 0.0370555i
\(569\) 20.0707 9.16597i 0.841406 0.384257i 0.0523877 0.998627i \(-0.483317\pi\)
0.789018 + 0.614370i \(0.210590\pi\)
\(570\) 0.121817 + 0.414870i 0.00510235 + 0.0173770i
\(571\) 29.3309 + 13.3950i 1.22746 + 0.560562i 0.920344 0.391110i \(-0.127909\pi\)
0.307116 + 0.951672i \(0.400636\pi\)
\(572\) −9.68848 + 67.3848i −0.405095 + 2.81750i
\(573\) 3.71009 2.38433i 0.154991 0.0996068i
\(574\) 0.0235302 + 0.825993i 0.000982131 + 0.0344763i
\(575\) −0.333384 14.4822i −0.0139031 0.603950i
\(576\) 7.92327 0.330136
\(577\) −24.1610 37.5953i −1.00584 1.56511i −0.811646 0.584149i \(-0.801428\pi\)
−0.194191 0.980964i \(-0.562208\pi\)
\(578\) −0.0698005 + 0.485473i −0.00290332 + 0.0201930i
\(579\) 19.5338 + 8.92078i 0.811796 + 0.370735i
\(580\) 13.4094 3.93737i 0.556797 0.163490i
\(581\) 2.86121 + 5.82060i 0.118703 + 0.241479i
\(582\) 0.320986 0.278136i 0.0133053 0.0115291i
\(583\) 8.74850 + 60.8472i 0.362326 + 2.52003i
\(584\) −0.190065 + 0.647301i −0.00786494 + 0.0267855i
\(585\) 7.39985 + 6.41200i 0.305946 + 0.265104i
\(586\) 1.01698 + 0.653575i 0.0420112 + 0.0269989i
\(587\) −2.34742 + 3.65266i −0.0968885 + 0.150761i −0.886314 0.463085i \(-0.846742\pi\)
0.789425 + 0.613847i \(0.210379\pi\)
\(588\) −11.0675 8.53717i −0.456416 0.352067i
\(589\) 10.7064 36.4625i 0.441148 1.50241i
\(590\) 0.493463 0.0709493i 0.0203155 0.00292094i
\(591\) −19.7162 + 17.0842i −0.811016 + 0.702749i
\(592\) 21.8078 9.95928i 0.896294 0.409324i
\(593\) −8.50247 28.9567i −0.349154 1.18911i −0.927658 0.373431i \(-0.878181\pi\)
0.578504 0.815680i \(-0.303637\pi\)
\(594\) −0.115146 + 0.252135i −0.00472451 + 0.0103452i
\(595\) 2.15128 18.7360i 0.0881939 0.768100i
\(596\) 1.00640 + 1.56599i 0.0412238 + 0.0641455i
\(597\) 7.36211i 0.301311i
\(598\) 1.20350 1.45528i 0.0492148 0.0595108i
\(599\) 11.1491 0.455542 0.227771 0.973715i \(-0.426856\pi\)
0.227771 + 0.973715i \(0.426856\pi\)
\(600\) −0.369298 0.574639i −0.0150765 0.0234595i
\(601\) 26.6897 + 3.83740i 1.08870 + 0.156531i 0.663210 0.748434i \(-0.269194\pi\)
0.425487 + 0.904965i \(0.360103\pi\)
\(602\) 0.678445 + 0.286778i 0.0276514 + 0.0116882i
\(603\) 1.11910 + 3.81132i 0.0455735 + 0.155209i
\(604\) −0.162481 0.355785i −0.00661127 0.0144767i
\(605\) 11.9767 + 13.8219i 0.486922 + 0.561938i
\(606\) 0.000746167 0.00518971i 3.03110e−5 0.000210818i
\(607\) −8.97742 + 30.5743i −0.364382 + 1.24097i 0.549672 + 0.835380i \(0.314753\pi\)
−0.914055 + 0.405591i \(0.867066\pi\)
\(608\) −2.40991 + 2.78118i −0.0977347 + 0.112792i
\(609\) −6.79757 + 11.2705i −0.275452 + 0.456702i
\(610\) 0.308118 + 0.198015i 0.0124753 + 0.00801740i
\(611\) −6.47306 + 7.47031i −0.261872 + 0.302216i
\(612\) −9.70679 2.85017i −0.392374 0.115211i
\(613\) 15.8584 2.28010i 0.640516 0.0920922i 0.185598 0.982626i \(-0.440578\pi\)
0.454918 + 0.890534i \(0.349669\pi\)
\(614\) 0.647853 0.561368i 0.0261452 0.0226550i
\(615\) −3.22618 7.06435i −0.130092 0.284862i
\(616\) −0.905532 2.78770i −0.0364849 0.112320i
\(617\) 32.8495 + 15.0019i 1.32247 + 0.603952i 0.946507 0.322682i \(-0.104584\pi\)
0.375964 + 0.926634i \(0.377312\pi\)
\(618\) −0.147550 0.0212145i −0.00593533 0.000853372i
\(619\) −7.91770 + 5.08839i −0.318239 + 0.204520i −0.690001 0.723808i \(-0.742390\pi\)
0.371762 + 0.928328i \(0.378754\pi\)
\(620\) 19.6554i 0.789381i
\(621\) −3.97377 + 2.68499i −0.159462 + 0.107745i
\(622\) 0.858966i 0.0344414i
\(623\) −31.7281 + 21.6914i −1.27116 + 0.869048i
\(624\) −3.94270 + 27.4221i −0.157834 + 1.09776i
\(625\) −0.321331 + 0.703616i −0.0128532 + 0.0281446i
\(626\) 0.949996 0.278944i 0.0379695 0.0111488i
\(627\) 11.0537 + 24.2043i 0.441444 + 0.966627i
\(628\) 6.23767 + 7.19866i 0.248910 + 0.287258i
\(629\) −30.2017 + 4.34235i −1.20422 + 0.173141i
\(630\) −0.203692 0.0535588i −0.00811528 0.00213383i
\(631\) −6.05999 5.25101i −0.241244 0.209039i 0.525844 0.850581i \(-0.323750\pi\)
−0.767088 + 0.641542i \(0.778295\pi\)
\(632\) 0.615674 0.958008i 0.0244902 0.0381075i
\(633\) 6.81970 10.6117i 0.271059 0.421775i
\(634\) 0.937855 1.08234i 0.0372470 0.0429853i
\(635\) −19.5585 5.74289i −0.776155 0.227900i
\(636\) 3.56591 + 24.8014i 0.141397 + 0.983440i
\(637\) 34.9412 33.9463i 1.38442 1.34500i
\(638\) −1.25428 + 0.572813i −0.0496576 + 0.0226779i
\(639\) 4.95802 1.45581i 0.196136 0.0575908i
\(640\) −1.05398 + 2.30790i −0.0416624 + 0.0912279i
\(641\) −34.0581 4.89681i −1.34521 0.193412i −0.568197 0.822893i \(-0.692359\pi\)
−0.777016 + 0.629480i \(0.783268\pi\)
\(642\) 0.710858 0.456840i 0.0280553 0.0180301i
\(643\) 22.0673 0.870251 0.435125 0.900370i \(-0.356704\pi\)
0.435125 + 0.900370i \(0.356704\pi\)
\(644\) 5.87735 24.6454i 0.231600 0.971166i
\(645\) −6.92254 −0.272575
\(646\) 1.30986 0.841795i 0.0515357 0.0331200i
\(647\) −47.5068 6.83045i −1.86769 0.268533i −0.886661 0.462419i \(-0.846982\pi\)
−0.981024 + 0.193886i \(0.937891\pi\)
\(648\) −0.0939429 + 0.205706i −0.00369042 + 0.00808090i
\(649\) 29.4372 8.64354i 1.15551 0.339288i
\(650\) 1.08192 0.494095i 0.0424363 0.0193800i
\(651\) 12.5154 + 13.6387i 0.490519 + 0.534542i
\(652\) −3.25390 22.6314i −0.127433 0.886313i
\(653\) 22.7833 + 6.68979i 0.891581 + 0.261792i 0.695269 0.718750i \(-0.255285\pi\)
0.196312 + 0.980541i \(0.437103\pi\)
\(654\) 0.133589 0.154170i 0.00522374 0.00602851i
\(655\) 4.09450 6.37117i 0.159985 0.248942i
\(656\) 11.8799 18.4855i 0.463833 0.721738i
\(657\) 2.25456 + 1.95358i 0.0879586 + 0.0762165i
\(658\) 0.0540688 0.205632i 0.00210782 0.00801635i
\(659\) −18.0828 + 2.59991i −0.704405 + 0.101278i −0.485203 0.874401i \(-0.661254\pi\)
−0.219202 + 0.975680i \(0.570345\pi\)
\(660\) 9.01267 + 10.4012i 0.350818 + 0.404865i
\(661\) −17.9254 39.2511i −0.697216 1.52669i −0.843314 0.537421i \(-0.819399\pi\)
0.146098 0.989270i \(-0.453329\pi\)
\(662\) −0.677713 + 0.198994i −0.0263400 + 0.00773414i
\(663\) 14.6472 32.0729i 0.568850 1.24561i
\(664\) −0.0788947 + 0.548725i −0.00306171 + 0.0212947i
\(665\) −16.6908 + 11.4109i −0.647240 + 0.442495i
\(666\) 0.340757i 0.0132041i
\(667\) −23.6866 2.85092i −0.917150 0.110388i
\(668\) 25.8760i 1.00117i
\(669\) −11.0684 + 7.11324i −0.427930 + 0.275014i
\(670\) −0.312991 0.0450013i −0.0120919 0.00173855i
\(671\) 20.5027 + 9.36329i 0.791500 + 0.361466i
\(672\) −0.553792 1.70486i −0.0213630 0.0657666i
\(673\) 13.7592 + 30.1284i 0.530378 + 1.16136i 0.965359 + 0.260925i \(0.0840276\pi\)
−0.434981 + 0.900439i \(0.643245\pi\)
\(674\) 1.29825 1.12494i 0.0500066 0.0433310i
\(675\) −2.98981 + 0.429869i −0.115078 + 0.0165457i
\(676\) −67.8875 19.9336i −2.61106 0.766675i
\(677\) 20.4412 23.5905i 0.785621 0.906655i −0.211881 0.977295i \(-0.567959\pi\)
0.997502 + 0.0706406i \(0.0225044\pi\)
\(678\) −0.591479 0.380120i −0.0227156 0.0145984i
\(679\) 17.0066 + 10.2572i 0.652653 + 0.393636i
\(680\) 1.05561 1.21824i 0.0404807 0.0467172i
\(681\) −0.868902 + 2.95921i −0.0332964 + 0.113397i
\(682\) 0.275990 + 1.91956i 0.0105682 + 0.0735036i
\(683\) 16.6980 + 19.2705i 0.638931 + 0.737365i 0.979185 0.202968i \(-0.0650587\pi\)
−0.340255 + 0.940333i \(0.610513\pi\)
\(684\) 4.50552 + 9.86572i 0.172273 + 0.377225i
\(685\) 3.17330 + 10.8073i 0.121246 + 0.412925i
\(686\) −0.352382 + 0.986866i −0.0134540 + 0.0376787i
\(687\) −7.17492 1.03160i −0.273740 0.0393579i
\(688\) −10.5894 16.4775i −0.403718 0.628198i
\(689\) −87.3289 −3.32697
\(690\) −0.0630144 0.376537i −0.00239892 0.0143345i
\(691\) 20.1477i 0.766454i −0.923654 0.383227i \(-0.874813\pi\)
0.923654 0.383227i \(-0.125187\pi\)
\(692\) 15.2640 + 23.7513i 0.580252 + 0.902889i
\(693\) −12.8767 1.47851i −0.489144 0.0561639i
\(694\) −0.698905 + 1.53039i −0.0265301 + 0.0580928i
\(695\) −0.995784 3.39133i −0.0377722 0.128640i
\(696\) −1.02332 + 0.467333i −0.0387887 + 0.0177142i
\(697\) −21.1355 + 18.3140i −0.800562 + 0.693691i
\(698\) −0.308208 + 0.0443136i −0.0116658 + 0.00167729i
\(699\) −7.28480 + 24.8098i −0.275537 + 0.938391i
\(700\) 10.1024 12.3527i 0.381835 0.466888i
\(701\) −10.6646 + 16.5944i −0.402796 + 0.626762i −0.982102 0.188347i \(-0.939687\pi\)
0.579307 + 0.815110i \(0.303323\pi\)
\(702\) −0.331260 0.212888i −0.0125026 0.00803494i
\(703\) 24.7219 + 21.4216i 0.932403 + 0.807932i
\(704\) −10.9355 + 37.2430i −0.412148 + 1.40365i
\(705\) 0.284387 + 1.97796i 0.0107107 + 0.0744942i
\(706\) −0.645503 + 0.559332i −0.0242938 + 0.0210507i
\(707\) −0.220023 + 0.108156i −0.00827482 + 0.00406763i
\(708\) 11.9986 3.52312i 0.450937 0.132407i
\(709\) −29.7590 13.5905i −1.11762 0.510401i −0.231027 0.972947i \(-0.574209\pi\)
−0.886595 + 0.462546i \(0.846936\pi\)
\(710\) −0.0585408 + 0.407160i −0.00219700 + 0.0152804i
\(711\) −2.72251 4.23631i −0.102102 0.158874i
\(712\) −3.28512 −0.123115
\(713\) −13.2326 + 30.8342i −0.495564 + 1.15475i
\(714\) 0.0215969 + 0.758126i 0.000808242 + 0.0283722i
\(715\) −40.3525 + 25.9330i −1.50910 + 0.969837i
\(716\) 1.32166 9.19236i 0.0493928 0.343535i
\(717\) −18.1881 8.30623i −0.679247 0.310202i
\(718\) −0.306128 1.04258i −0.0114246 0.0389086i
\(719\) 22.8152 10.4194i 0.850865 0.388577i 0.0582519 0.998302i \(-0.481447\pi\)
0.792613 + 0.609725i \(0.208720\pi\)
\(720\) 3.66768 + 4.23273i 0.136686 + 0.157745i
\(721\) −1.18807 6.86848i −0.0442459 0.255795i
\(722\) −0.570164 0.167415i −0.0212193 0.00623055i
\(723\) −8.65523 7.49980i −0.321891 0.278921i
\(724\) 20.8000 + 13.3674i 0.773027 + 0.496795i
\(725\) −12.6408 8.12377i −0.469469 0.301709i
\(726\) −0.555858 0.481653i −0.0206298 0.0178758i
\(727\) 25.5636 + 7.50614i 0.948100 + 0.278387i 0.718996 0.695015i \(-0.244602\pi\)
0.229104 + 0.973402i \(0.426420\pi\)
\(728\) 4.10300 0.709712i 0.152067 0.0263037i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) −0.216018 + 0.0986522i −0.00799519 + 0.00365128i
\(731\) 7.02311 + 23.9185i 0.259759 + 0.884658i
\(732\) 8.35695 + 3.81649i 0.308882 + 0.141062i
\(733\) −1.45436 + 10.1153i −0.0537179 + 0.373616i 0.945175 + 0.326565i \(0.105891\pi\)
−0.998893 + 0.0470507i \(0.985018\pi\)
\(734\) 1.05930 0.680769i 0.0390994 0.0251276i
\(735\) −0.560656 9.83253i −0.0206801 0.362678i
\(736\) 2.40602 2.18378i 0.0886871 0.0804951i
\(737\) −19.4595 −0.716800
\(738\) 0.168854 + 0.262743i 0.00621562 + 0.00967169i
\(739\) −3.05883 + 21.2746i −0.112521 + 0.782599i 0.852932 + 0.522022i \(0.174822\pi\)
−0.965453 + 0.260577i \(0.916087\pi\)
\(740\) 15.3903 + 7.02852i 0.565759 + 0.258373i
\(741\) −36.2696 + 10.6497i −1.33240 + 0.391227i
\(742\) 1.68580 0.828684i 0.0618877 0.0304219i
\(743\) −23.3457 + 20.2291i −0.856469 + 0.742135i −0.967819 0.251646i \(-0.919028\pi\)
0.111350 + 0.993781i \(0.464483\pi\)
\(744\) 0.225169 + 1.56608i 0.00825508 + 0.0574154i
\(745\) −0.369520 + 1.25847i −0.0135381 + 0.0461067i
\(746\) −0.0155280 0.0134551i −0.000568519 0.000492625i
\(747\) 2.06226 + 1.32533i 0.0754541 + 0.0484914i
\(748\) 26.7942 41.6926i 0.979693 1.52443i
\(749\) 30.5863 + 25.0144i 1.11760 + 0.914007i
\(750\) 0.179880 0.612615i 0.00656829 0.0223695i
\(751\) 43.9940 6.32538i 1.60536 0.230816i 0.719408 0.694587i \(-0.244413\pi\)
0.885955 + 0.463771i \(0.153504\pi\)
\(752\) −4.27304 + 3.70261i −0.155822 + 0.135020i
\(753\) −1.04487 + 0.477178i −0.0380773 + 0.0173893i
\(754\) −0.551876 1.87952i −0.0200982 0.0684480i
\(755\) 0.114483 0.250683i 0.00416647 0.00912329i
\(756\) −5.24855 0.602643i −0.190888 0.0219179i
\(757\) 25.2396 + 39.2735i 0.917348 + 1.42742i 0.904011 + 0.427510i \(0.140609\pi\)
0.0133369 + 0.999911i \(0.495755\pi\)
\(758\) 1.36712i 0.0496562i
\(759\) −7.13615 22.3843i −0.259026 0.812498i
\(760\) −1.72815 −0.0626867
\(761\) 22.9561 + 35.7204i 0.832159 + 1.29486i 0.953238 + 0.302221i \(0.0977282\pi\)
−0.121079 + 0.992643i \(0.538635\pi\)
\(762\) 0.811424 + 0.116665i 0.0293948 + 0.00422633i
\(763\) 8.78626 + 3.71394i 0.318084 + 0.134454i
\(764\) 2.48101 + 8.44955i 0.0897598 + 0.305694i
\(765\) −2.96110 6.48391i −0.107059 0.234426i
\(766\) −0.949422 1.09569i −0.0343040 0.0395890i
\(767\) 6.20268 + 43.1406i 0.223966 + 1.55772i
\(768\) −4.43574 + 15.1067i −0.160061 + 0.545118i
\(769\) 22.5177 25.9868i 0.812009 0.937109i −0.186966 0.982366i \(-0.559865\pi\)
0.998975 + 0.0452576i \(0.0144109\pi\)
\(770\) 0.532882 0.883524i 0.0192037 0.0318400i
\(771\) −21.2713 13.6702i −0.766066 0.492321i
\(772\) −28.0804 + 32.4065i −1.01064