Properties

Label 483.2.r.a.412.18
Level $483$
Weight $2$
Character 483.412
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 412.18
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.18

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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 0.557361 0.830270i \(-0.311814\pi\)
−0.523704 + 0.851900i \(0.675450\pi\)
\(3\) 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 −0.0344279 0.999407i \(-0.510961\pi\)
−0.569283 + 0.822142i \(0.692779\pi\)
\(6\) 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 −0.966467 0.256789i \(-0.917335\pi\)
0.167902 0.985804i \(-0.446301\pi\)
\(12\) −1.07955 1.67981i −0.311639 0.484920i
\(13\) −5.25957 + 4.55745i −1.45874 + 1.26401i −0.557869 + 0.829929i \(0.688381\pi\)
−0.900875 + 0.434079i \(0.857074\pi\)
\(14\) 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 −0.462474 0.886633i \(-0.653038\pi\)
0.972928 0.231107i \(-0.0742346\pi\)
\(18\) 0.0542889 + 0.0159407i 0.0127960 + 0.00375725i
\(19\) 2.25637 + 4.94077i 0.517647 + 1.13349i 0.970323 + 0.241814i \(0.0777424\pi\)
−0.452675 + 0.891675i \(0.649530\pi\)
\(20\) 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 −0.614915 0.788593i \(-0.710810\pi\)
0.998663 0.0516971i \(-0.0164630\pi\)
\(30\) −0.0601616 0.0521303i −0.0109840 0.00951765i
\(31\) 6.92521 + 0.995695i 1.24380 + 0.178832i 0.732619 0.680639i \(-0.238298\pi\)
0.511185 + 0.859471i \(0.329207\pi\)
\(32\) −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 −0.973143 0.230203i \(-0.926061\pi\)
0.694202 0.719780i \(-0.255757\pi\)
\(38\) −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 −0.744348 0.667792i \(-0.767240\pi\)
0.987221 0.159358i \(-0.0509423\pi\)
\(42\) 0.137886 0.0582844i 0.0212763 0.00899348i
\(43\) 4.87023 0.700234i 0.742704 0.106785i 0.239432 0.970913i \(-0.423039\pi\)
0.503271 + 0.864128i \(0.332130\pi\)
\(44\) −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 \(0.0330323\pi\)
−0.994620 + 0.103588i \(0.966968\pi\)
\(48\) −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 0.983474 + 0.181049i \(0.0579491\pi\)
0.319169 + 0.947698i \(0.396596\pi\)
\(54\) 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 −0.906065 0.423138i \(-0.860929\pi\)
0.289885 + 0.957062i \(0.406383\pi\)
\(60\) 0.791486 + 2.69556i 0.102180 + 0.347995i
\(61\) −0.654784 + 4.55412i −0.0838365 + 0.583096i 0.903992 + 0.427549i \(0.140623\pi\)
−0.987829 + 0.155547i \(0.950286\pi\)
\(62\) 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 −0.684931 0.728608i \(-0.740168\pi\)
0.947296 + 0.320361i \(0.103804\pi\)
\(68\) −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 0.772548 0.634957i \(-0.218982\pi\)
−0.256649 + 0.966505i \(0.582618\pi\)
\(72\) −0.0321834 0.223840i −0.00379285 0.0263798i
\(73\) 2.71362 1.23927i 0.317605 0.145045i −0.250233 0.968186i \(-0.580507\pi\)
0.567838 + 0.823140i \(0.307780\pi\)
\(74\) 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 −0.842125 0.539283i \(-0.818695\pi\)
0.413947 + 0.910301i \(0.364150\pi\)
\(80\) 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 −0.150082 0.988674i \(-0.547954\pi\)
0.408260 + 0.912866i \(0.366136\pi\)
\(84\) −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 −0.741218 0.671264i \(-0.765752\pi\)
0.522077 0.852898i \(-0.325157\pi\)
\(90\) −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 0.626122 0.779725i \(-0.284641\pi\)
0.105176 + 0.994454i \(0.466459\pi\)
\(98\) 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 0.958184 0.286153i \(-0.0923766\pi\)
−0.960782 + 0.277306i \(0.910558\pi\)
\(102\) 0.216644 0.187723i 0.0214510 0.0185874i
\(103\) −2.21636 + 1.42437i −0.218384 + 0.140347i −0.645259 0.763963i \(-0.723251\pi\)
0.426875 + 0.904311i \(0.359614\pi\)
\(104\) 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 0.813016 0.582242i \(-0.197824\pi\)
0.616047 + 0.787710i \(0.288733\pi\)
\(108\) −1.50908 1.30763i −0.145211 0.125826i
\(109\) 3.27957 + 1.49773i 0.314126 + 0.143457i 0.566239 0.824241i \(-0.308398\pi\)
−0.252112 + 0.967698i \(0.581125\pi\)
\(110\) −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 0.366600 + 0.930379i \(0.380522\pi\)
−0.998593 + 0.0530219i \(0.983115\pi\)
\(114\) 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 0.126635 0.991949i \(-0.459582\pi\)
0.954915 + 0.296880i \(0.0959460\pi\)
\(128\) 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 0.458779 0.888551i \(-0.348287\pi\)
−0.814215 + 0.580563i \(0.802833\pi\)
\(132\) −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 \(0.111101\pi\)
−0.939704 + 0.341989i \(0.888899\pi\)
\(138\) −0.0324258 0.269408i −0.00276027 0.0229335i
\(139\) 2.51221i 0.213083i −0.994308 0.106541i \(-0.966022\pi\)
0.994308 0.106541i \(-0.0339777\pi\)
\(140\) 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 0.861285 0.508122i \(-0.169660\pi\)
−0.819995 + 0.572371i \(0.806024\pi\)
\(150\) −0.0923984 0.143775i −0.00754430 0.0117392i
\(151\) −0.128273 0.148035i −0.0104387 0.0120469i 0.750506 0.660863i \(-0.229810\pi\)
−0.760945 + 0.648816i \(0.775264\pi\)
\(152\) 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 0.972075 0.234668i \(-0.0754004\pi\)
−0.813925 + 0.580971i \(0.802673\pi\)
\(158\) −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 0.105989 0.994367i \(-0.466199\pi\)
−0.860479 + 0.509487i \(0.829835\pi\)
\(164\) −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 −0.0966540 0.995318i \(-0.530814\pi\)
−0.815506 + 0.578749i \(0.803541\pi\)
\(168\) −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 0.999993 0.00373646i \(-0.00118936\pi\)
−0.418811 + 0.908073i \(0.637553\pi\)
\(174\) 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 0.110673 0.993857i \(-0.464699\pi\)
−0.444216 + 0.895920i \(0.646518\pi\)
\(180\) 1.16705 + 2.55548i 0.0869866 + 0.190474i
\(181\) 1.76219 + 12.2563i 0.130983 + 0.911005i 0.944277 + 0.329152i \(0.106763\pi\)
−0.813294 + 0.581853i \(0.802328\pi\)
\(182\) −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 0.767055 0.641581i \(-0.221721\pi\)
−0.525888 + 0.850554i \(0.676267\pi\)
\(192\) 7.84262 + 1.12760i 0.565992 + 0.0813774i
\(193\) 20.6045 6.05003i 1.48314 0.435491i 0.562798 0.826594i \(-0.309725\pi\)
0.920347 + 0.391104i \(0.127907\pi\)
\(194\) 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 −0.887610 0.460596i \(-0.847636\pi\)
−0.329587 0.944125i \(-0.606910\pi\)
\(198\) −0.0780917 0.265956i −0.00554973 0.0189007i
\(199\) 1.04774 7.28718i 0.0742722 0.516574i −0.918392 0.395671i \(-0.870512\pi\)
0.992664 0.120903i \(-0.0385790\pi\)
\(200\) −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 0.999785 + 0.0207441i \(0.00660352\pi\)
−0.639042 + 0.769171i \(0.720669\pi\)
\(212\) 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 0.254962 0.966951i \(-0.417937\pi\)
−0.920824 + 0.389978i \(0.872482\pi\)
\(224\) −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 0.970057 0.242876i \(-0.0780909\pi\)
−0.999189 + 0.0402586i \(0.987182\pi\)
\(228\) 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 −0.646753 0.762700i \(-0.723873\pi\)
0.405677 0.914016i \(-0.367036\pi\)
\(234\) −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 −0.835383 0.549668i \(-0.814754\pi\)
−0.405596 + 0.914052i \(0.632936\pi\)
\(240\) 4.23273 3.66768i 0.273222 0.236748i
\(241\) −9.63447 + 6.19169i −0.620610 + 0.398842i −0.812823 0.582511i \(-0.802070\pi\)
0.192212 + 0.981353i \(0.438434\pi\)
\(242\) −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 0.509788 0.860300i \(-0.329724\pi\)
−0.570783 + 0.821101i \(0.693360\pi\)
\(252\) −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 −0.972786 0.231705i \(-0.925570\pi\)
−0.461929 + 0.886917i \(0.652842\pi\)
\(258\) 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 −0.663924 0.747800i \(-0.731110\pi\)
0.645702 + 0.763589i \(0.276565\pi\)
\(264\) −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 0.996477 + 0.0838705i \(0.0267282\pi\)
0.224830 + 0.974398i \(0.427817\pi\)
\(270\) −0.0724115 0.0330692i −0.00440682 0.00201253i
\(271\) −1.02205 + 3.48078i −0.0620851 + 0.211442i −0.984693 0.174296i \(-0.944235\pi\)
0.922608 + 0.385738i \(0.126053\pi\)
\(272\) 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 −0.987441 0.157985i \(-0.949500\pi\)
0.916102 + 0.400945i \(0.131318\pi\)
\(282\) −0.0333841 + 0.0731010i −0.00198799 + 0.00435310i
\(283\) −3.90487 + 4.50646i −0.232121 + 0.267881i −0.859846 0.510553i \(-0.829441\pi\)
0.627726 + 0.778435i \(0.283986\pi\)
\(284\) 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 −0.451477 0.892283i \(-0.649103\pi\)
0.969997 0.243117i \(-0.0781701\pi\)
\(294\) 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 0.556270 0.831001i \(-0.312232\pi\)
0.299617 + 0.954059i \(0.403141\pi\)
\(308\) 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 0.526633 0.850092i \(-0.323454\pi\)
−0.992043 + 0.125901i \(0.959818\pi\)
\(312\) 1.03063 + 1.18941i 0.0583480 + 0.0673372i
\(313\) 16.7901 4.93001i 0.949030 0.278660i 0.229647 0.973274i \(-0.426243\pi\)
0.719383 + 0.694614i \(0.244425\pi\)
\(314\) −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 0.880188 0.474625i \(-0.157416\pi\)
0.483860 + 0.875146i \(0.339235\pi\)
\(318\) 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 −0.593813 0.804603i \(-0.702378\pi\)
−0.0645454 + 0.997915i \(0.520560\pi\)
\(332\) −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 0.898532 0.438907i \(-0.144634\pi\)
0.738481 + 0.674274i \(0.235543\pi\)
\(338\) 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 −0.345697 0.938346i \(-0.612358\pi\)
−0.997157 + 0.0753459i \(0.975994\pi\)
\(348\) −9.83227 + 1.41367i −0.527065 + 0.0757805i
\(349\) −5.00591 + 2.28612i −0.267960 + 0.122373i −0.544864 0.838524i \(-0.683419\pi\)
0.276904 + 0.960898i \(0.410692\pi\)
\(350\) −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 −0.267314 0.963609i \(-0.586136\pi\)
−0.527966 + 0.849265i \(0.677045\pi\)
\(354\) −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 0.969932 + 0.243378i \(0.0782554\pi\)
−0.684378 + 0.729127i \(0.739926\pi\)
\(360\) −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 −0.962099 0.272700i \(-0.912083\pi\)
0.956802 + 0.290740i \(0.0939016\pi\)
\(374\) −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 −0.995176 0.0981089i \(-0.968721\pi\)
0.324168 0.946000i \(-0.394916\pi\)
\(380\) −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 0.655068 + 0.755570i \(0.272640\pi\)
−0.841401 + 0.540411i \(0.818269\pi\)
\(384\) 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 −0.195011 0.980801i \(-0.562474\pi\)
0.973178 0.230051i \(-0.0738894\pi\)
\(390\) 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 0.738532 0.674219i \(-0.235520\pi\)
−0.0259052 + 0.999664i \(0.508247\pi\)
\(398\) 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 −0.965718 0.259592i \(-0.916412\pi\)
0.119514 + 0.992833i \(0.461867\pi\)
\(402\) 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 −0.914430 0.404744i \(-0.867361\pi\)
0.988089 + 0.153886i \(0.0491787\pi\)
\(410\) −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 −0.524828 0.851208i \(-0.675871\pi\)
−0.901712 + 0.432338i \(0.857689\pi\)
\(420\) 6.67049 + 3.27899i 0.325487 + 0.159999i
\(421\) 21.5132 + 18.6413i 1.04849 + 0.908523i 0.995933 0.0900949i \(-0.0287170\pi\)
0.0525582 + 0.998618i \(0.483262\pi\)
\(422\) −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 0.809469 0.587162i \(-0.199755\pi\)
0.0863422 + 0.996266i \(0.472482\pi\)
\(432\) −1.12152 + 3.81955i −0.0539592 + 0.183768i
\(433\) −13.8669 30.3643i −0.666402 1.45922i −0.876434 0.481523i \(-0.840084\pi\)
0.210031 0.977695i \(-0.432643\pi\)
\(434\) 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 0.0290071 + 0.999579i \(0.490765\pi\)
−0.921299 + 0.388854i \(0.872871\pi\)
\(440\) 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 −0.999773 0.0212912i \(-0.993222\pi\)
0.670803 + 0.741636i \(0.265950\pi\)
\(444\) −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 −0.458560 0.888663i \(-0.651635\pi\)
0.617864 + 0.786285i \(0.287998\pi\)
\(450\) −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 −0.159467 0.987203i \(-0.550978\pi\)
0.125120 + 0.992142i \(0.460068\pi\)
\(458\) −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 \(0.217202\pi\)
−0.776086 + 0.630627i \(0.782798\pi\)
\(462\) −0.605401 0.413891i −0.0281658 0.0192559i
\(463\) 0.730610 + 5.08151i 0.0339543 + 0.236158i 0.999730 0.0232198i \(-0.00739174\pi\)
−0.965776 + 0.259377i \(0.916483\pi\)
\(464\) 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 −0.674288 0.738468i \(-0.735550\pi\)
0.826913 + 0.562330i \(0.190095\pi\)
\(468\) 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 0.996045 0.0888512i \(-0.0283196\pi\)
−0.719420 + 0.694575i \(0.755592\pi\)
\(480\) 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 0.986155 + 0.165825i \(0.0530285\pi\)
−0.520473 + 0.853878i \(0.674244\pi\)
\(488\) 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 −0.998088 0.0618120i \(-0.980312\pi\)
0.975073 + 0.221886i \(0.0712212\pi\)
\(492\) −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 −0.852129 0.523331i \(-0.824689\pi\)
0.639275 + 0.768978i \(0.279235\pi\)
\(500\) 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 −0.998968 0.0454273i \(-0.985535\pi\)
0.945704 0.325029i \(-0.105374\pi\)
\(504\) −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 0.297140 0.954834i \(-0.403967\pi\)
0.554112 + 0.832442i \(0.313058\pi\)
\(510\) −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 0.822577 + 0.568653i \(0.192535\pi\)
−0.949465 + 0.313872i \(0.898374\pi\)
\(522\) 0.184324 0.212721i 0.00806763 0.00931054i
\(523\) −7.50358 + 16.4306i −0.328109 + 0.718458i −0.999749 0.0224197i \(-0.992863\pi\)
0.671640 + 0.740878i \(0.265590\pi\)
\(524\) −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 −0.725299 0.688434i \(-0.758298\pi\)
0.324922 + 0.945741i \(0.394662\pi\)
\(542\) −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 −0.171708 0.985148i \(-0.554928\pi\)
−0.677061 + 0.735927i \(0.736747\pi\)
\(548\) 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 −0.905204 0.424978i \(-0.860282\pi\)
0.991266 + 0.131876i \(0.0421001\pi\)
\(558\) 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 −0.607881 0.794028i \(-0.707980\pi\)
0.469750 + 0.882799i \(0.344344\pi\)
\(564\) 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 0.789018 0.614370i \(-0.210590\pi\)
0.0523877 + 0.998627i \(0.483317\pi\)
\(570\) 0.121817 0.414870i 0.00510235 0.0173770i
\(571\) 29.3309 13.3950i 1.22746 0.560562i 0.307116 0.951672i \(-0.400636\pi\)
0.920344 + 0.391110i \(0.127909\pi\)
\(572\) −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 −0.194191 + 0.980964i \(0.562208\pi\)
−0.811646 + 0.584149i \(0.801428\pi\)
\(578\) −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 0.789425 0.613847i \(-0.210379\pi\)
−0.886314 + 0.463085i \(0.846742\pi\)
\(588\) −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 0.578504 + 0.815680i \(0.303637\pi\)
−0.927658 + 0.373431i \(0.878181\pi\)
\(594\) −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 0.425487 0.904965i \(-0.360103\pi\)
0.663210 + 0.748434i \(0.269194\pi\)
\(602\) 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 −0.914055 0.405591i \(-0.867066\pi\)
0.549672 0.835380i \(-0.314753\pi\)
\(608\) −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 0.454918 0.890534i \(-0.349669\pi\)
0.185598 + 0.982626i \(0.440578\pi\)
\(614\) 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 0.375964 0.926634i \(-0.377312\pi\)
0.946507 + 0.322682i \(0.104584\pi\)
\(618\) −0.147550 + 0.0212145i −0.00593533 + 0.000853372i
\(619\) −7.91770 5.08839i −0.318239 0.204520i 0.371762 0.928328i \(-0.378754\pi\)
−0.690001 + 0.723808i \(0.742390\pi\)
\(620\) 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 −0.767088 0.641542i \(-0.778295\pi\)
0.525844 + 0.850581i \(0.323750\pi\)
\(632\) 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 −0.777016 0.629480i \(-0.783268\pi\)
−0.568197 + 0.822893i \(0.692359\pi\)
\(642\) 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 −0.981024 0.193886i \(-0.937891\pi\)
−0.886661 + 0.462419i \(0.846982\pi\)
\(648\) −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 0.196312 0.980541i \(-0.437103\pi\)
0.695269 + 0.718750i \(0.255285\pi\)
\(654\) 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 −0.219202 0.975680i \(-0.570345\pi\)
−0.485203 + 0.874401i \(0.661254\pi\)
\(660\) 9.01267 10.4012i 0.350818 0.404865i
\(661\) −17.9254 + 39.2511i −0.697216 + 1.52669i 0.146098 + 0.989270i \(0.453329\pi\)
−0.843314 + 0.537421i \(0.819399\pi\)
\(662\) −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 −0.434981 0.900439i \(-0.643245\pi\)
0.965359 0.260925i \(-0.0840276\pi\)
\(674\) 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 0.997502 0.0706406i \(-0.0225044\pi\)
−0.211881 + 0.977295i \(0.567959\pi\)
\(678\) −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 −0.340255 0.940333i \(-0.610513\pi\)
0.979185 + 0.202968i \(0.0650587\pi\)
\(684\) 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 \(0.125187\pi\)
−0.923654 + 0.383227i \(0.874813\pi\)
\(692\) 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 0.579307 0.815110i \(-0.303323\pi\)
−0.982102 + 0.188347i \(0.939687\pi\)
\(702\) −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 −0.886595 0.462546i \(-0.846936\pi\)
−0.231027 + 0.972947i \(0.574209\pi\)
\(710\) −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 0.792613 0.609725i \(-0.208720\pi\)
0.0582519 + 0.998302i \(0.481447\pi\)
\(720\) 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 0.229104 0.973402i \(-0.426420\pi\)
0.718996 + 0.695015i \(0.244602\pi\)
\(728\) 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 −0.998893 0.0470507i \(-0.985018\pi\)
0.945175 0.326565i \(-0.105891\pi\)
\(734\) 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 −0.965453 0.260577i \(-0.916087\pi\)
0.852932 0.522022i \(-0.174822\pi\)
\(740\) 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 0.111350 0.993781i \(-0.464483\pi\)
−0.967819 + 0.251646i \(0.919028\pi\)
\(744\) 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 0.885955 0.463771i \(-0.153504\pi\)
0.719408 + 0.694587i \(0.244413\pi\)
\(752\) −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 0.0133369 0.999911i \(-0.495755\pi\)
0.904011 0.427510i \(-0.140609\pi\)
\(758\) 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 −0.121079 0.992643i \(-0.538635\pi\)
0.953238 0.302221i \(-0.0977282\pi\)
\(762\) 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 0.998975 0.0452576i \(-0.0144109\pi\)
−0.186966 + 0.982366i \(0.559865\pi\)
\(770\) 0.532882 + 0.883524i 0.0192037 + 0.0318400i
\(771\) −21.2713 + 13.6702i −0.766066 + 0.492321i
\(772\) −28.0804 32.4065i