Properties

Label 576.2.bm.a.517.12
Level $576$
Weight $2$
Character 576.517
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 517.12
Character \(\chi\) \(=\) 576.517
Dual form 576.2.bm.a.205.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29352 - 0.571665i) q^{2} +(1.48784 + 0.886751i) q^{3} +(1.34640 + 1.47892i) q^{4} +(-2.64975 + 3.02146i) q^{5} +(-1.41763 - 1.99758i) q^{6} +(-4.44635 + 0.585373i) q^{7} +(-0.896148 - 2.68271i) q^{8} +(1.42734 + 2.63869i) q^{9} +O(q^{10})\) \(q+(-1.29352 - 0.571665i) q^{2} +(1.48784 + 0.886751i) q^{3} +(1.34640 + 1.47892i) q^{4} +(-2.64975 + 3.02146i) q^{5} +(-1.41763 - 1.99758i) q^{6} +(-4.44635 + 0.585373i) q^{7} +(-0.896148 - 2.68271i) q^{8} +(1.42734 + 2.63869i) q^{9} +(5.15478 - 2.39356i) q^{10} +(-0.255650 + 0.518408i) q^{11} +(0.691791 + 3.39432i) q^{12} +(2.16473 - 6.37708i) q^{13} +(6.08609 + 1.78463i) q^{14} +(-6.62170 + 2.14579i) q^{15} +(-0.374422 + 3.98244i) q^{16} +(-1.08758 + 1.08758i) q^{17} +(-0.337854 - 4.22917i) q^{18} +(-0.700018 - 3.51923i) q^{19} +(-8.03613 + 0.149316i) q^{20} +(-7.13454 - 3.07186i) q^{21} +(0.627045 - 0.524426i) q^{22} +(-0.182415 + 1.38558i) q^{23} +(1.04557 - 4.78610i) q^{24} +(-1.45542 - 11.0550i) q^{25} +(-6.44567 + 7.01139i) q^{26} +(-0.216201 + 5.19165i) q^{27} +(-6.85228 - 5.78766i) q^{28} +(-4.44111 - 0.291086i) q^{29} +(9.79198 + 1.00977i) q^{30} +(-1.28083 - 0.739487i) q^{31} +(2.76094 - 4.93733i) q^{32} +(-0.840066 + 0.544610i) q^{33} +(2.02853 - 0.785074i) q^{34} +(10.0130 - 14.9856i) q^{35} +(-1.98064 + 5.66366i) q^{36} +(-0.465852 + 2.34200i) q^{37} +(-1.10633 + 4.95237i) q^{38} +(8.87565 - 7.56850i) q^{39} +(10.4803 + 4.40083i) q^{40} +(-0.0670228 + 0.509089i) q^{41} +(7.47261 + 8.05209i) q^{42} +(2.60490 + 1.28460i) q^{43} +(-1.11089 + 0.319896i) q^{44} +(-11.7548 - 2.67921i) q^{45} +(1.02804 - 1.68800i) q^{46} +(-5.59094 - 1.49809i) q^{47} +(-4.08851 + 5.59322i) q^{48} +(12.6659 - 3.39381i) q^{49} +(-4.43715 + 15.1319i) q^{50} +(-2.58255 + 0.653731i) q^{51} +(12.3458 - 5.38462i) q^{52} +(-3.69082 - 5.52371i) q^{53} +(3.24755 - 6.59192i) q^{54} +(-0.888940 - 2.14609i) q^{55} +(5.55497 + 11.4037i) q^{56} +(2.07916 - 5.85679i) q^{57} +(5.57827 + 2.91535i) q^{58} +(-6.54123 + 7.45885i) q^{59} +(-12.0889 - 6.90389i) q^{60} +(-0.792688 + 12.0941i) q^{61} +(1.23404 + 1.68875i) q^{62} +(-7.89109 - 10.8970i) q^{63} +(-6.39384 + 4.80821i) q^{64} +(13.5321 + 23.4383i) q^{65} +(1.39798 - 0.224229i) q^{66} +(-13.4553 + 6.63540i) q^{67} +(-3.07275 - 0.144130i) q^{68} +(-1.50007 + 1.89976i) q^{69} +(-21.5188 + 13.6601i) q^{70} +(0.626981 - 1.51366i) q^{71} +(5.79972 - 6.19380i) q^{72} +(-4.95009 - 11.9506i) q^{73} +(1.94143 - 2.76311i) q^{74} +(7.63763 - 17.7387i) q^{75} +(4.26216 - 5.77355i) q^{76} +(0.833249 - 2.45467i) q^{77} +(-15.8075 + 4.71613i) q^{78} +(-0.658075 + 2.45597i) q^{79} +(-11.0407 - 11.6838i) q^{80} +(-4.92538 + 7.53264i) q^{81} +(0.377724 - 0.620203i) q^{82} +(-6.13114 + 5.37686i) q^{83} +(-5.06289 - 14.6874i) q^{84} +(-0.404264 - 6.16787i) q^{85} +(-2.63514 - 3.15079i) q^{86} +(-6.34954 - 4.37125i) q^{87} +(1.61984 + 0.221265i) q^{88} +(5.30952 + 2.19928i) q^{89} +(13.6735 + 10.1854i) q^{90} +(-5.89216 + 29.6219i) q^{91} +(-2.29477 + 1.59576i) q^{92} +(-1.24993 - 2.23602i) q^{93} +(6.37560 + 5.13395i) q^{94} +(12.4881 + 7.21000i) q^{95} +(8.48603 - 4.89769i) q^{96} +(3.62485 - 2.09281i) q^{97} +(-18.3237 - 2.85067i) q^{98} +(-1.73282 + 0.0653640i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29352 0.571665i −0.914658 0.404228i
\(3\) 1.48784 + 0.886751i 0.859006 + 0.511966i
\(4\) 1.34640 + 1.47892i 0.673199 + 0.739461i
\(5\) −2.64975 + 3.02146i −1.18501 + 1.35124i −0.262652 + 0.964891i \(0.584597\pi\)
−0.922353 + 0.386349i \(0.873736\pi\)
\(6\) −1.41763 1.99758i −0.578745 0.815508i
\(7\) −4.44635 + 0.585373i −1.68056 + 0.221250i −0.909557 0.415579i \(-0.863579\pi\)
−0.771005 + 0.636829i \(0.780246\pi\)
\(8\) −0.896148 2.68271i −0.316836 0.948480i
\(9\) 1.42734 + 2.63869i 0.475781 + 0.879564i
\(10\) 5.15478 2.39356i 1.63008 0.756910i
\(11\) −0.255650 + 0.518408i −0.0770815 + 0.156306i −0.932002 0.362453i \(-0.881939\pi\)
0.854920 + 0.518759i \(0.173606\pi\)
\(12\) 0.691791 + 3.39432i 0.199703 + 0.979856i
\(13\) 2.16473 6.37708i 0.600387 1.76868i −0.0383580 0.999264i \(-0.512213\pi\)
0.638745 0.769419i \(-0.279454\pi\)
\(14\) 6.08609 + 1.78463i 1.62658 + 0.476962i
\(15\) −6.62170 + 2.14579i −1.70971 + 0.554040i
\(16\) −0.374422 + 3.98244i −0.0936055 + 0.995609i
\(17\) −1.08758 + 1.08758i −0.263776 + 0.263776i −0.826586 0.562810i \(-0.809720\pi\)
0.562810 + 0.826586i \(0.309720\pi\)
\(18\) −0.337854 4.22917i −0.0796330 0.996824i
\(19\) −0.700018 3.51923i −0.160595 0.807366i −0.974154 0.225884i \(-0.927473\pi\)
0.813559 0.581482i \(-0.197527\pi\)
\(20\) −8.03613 + 0.149316i −1.79693 + 0.0333881i
\(21\) −7.13454 3.07186i −1.55688 0.670336i
\(22\) 0.627045 0.524426i 0.133686 0.111808i
\(23\) −0.182415 + 1.38558i −0.0380361 + 0.288913i 0.961846 + 0.273590i \(0.0882111\pi\)
−0.999883 + 0.0153233i \(0.995122\pi\)
\(24\) 1.04557 4.78610i 0.213426 0.976959i
\(25\) −1.45542 11.0550i −0.291085 2.21101i
\(26\) −6.44567 + 7.01139i −1.26410 + 1.37505i
\(27\) −0.216201 + 5.19165i −0.0416078 + 0.999134i
\(28\) −6.85228 5.78766i −1.29496 1.09376i
\(29\) −4.44111 0.291086i −0.824693 0.0540532i −0.352789 0.935703i \(-0.614767\pi\)
−0.471904 + 0.881650i \(0.656433\pi\)
\(30\) 9.79198 + 1.00977i 1.78776 + 0.184358i
\(31\) −1.28083 0.739487i −0.230044 0.132816i 0.380549 0.924761i \(-0.375735\pi\)
−0.610592 + 0.791945i \(0.709069\pi\)
\(32\) 2.76094 4.93733i 0.488070 0.872804i
\(33\) −0.840066 + 0.544610i −0.146237 + 0.0948045i
\(34\) 2.02853 0.785074i 0.347890 0.134639i
\(35\) 10.0130 14.9856i 1.69251 2.53302i
\(36\) −1.98064 + 5.66366i −0.330107 + 0.943943i
\(37\) −0.465852 + 2.34200i −0.0765856 + 0.385022i 0.923414 + 0.383806i \(0.125387\pi\)
−0.999999 + 0.00121571i \(0.999613\pi\)
\(38\) −1.10633 + 4.95237i −0.179470 + 0.803381i
\(39\) 8.87565 7.56850i 1.42124 1.21193i
\(40\) 10.4803 + 4.40083i 1.65708 + 0.695832i
\(41\) −0.0670228 + 0.509089i −0.0104672 + 0.0795064i −0.995881 0.0906680i \(-0.971100\pi\)
0.985414 + 0.170174i \(0.0544331\pi\)
\(42\) 7.47261 + 8.05209i 1.15305 + 1.24246i
\(43\) 2.60490 + 1.28460i 0.397244 + 0.195899i 0.629928 0.776653i \(-0.283084\pi\)
−0.232684 + 0.972552i \(0.574751\pi\)
\(44\) −1.11089 + 0.319896i −0.167473 + 0.0482262i
\(45\) −11.7548 2.67921i −1.75230 0.399393i
\(46\) 1.02804 1.68800i 0.151577 0.248881i
\(47\) −5.59094 1.49809i −0.815522 0.218518i −0.173134 0.984898i \(-0.555389\pi\)
−0.642388 + 0.766380i \(0.722056\pi\)
\(48\) −4.08851 + 5.59322i −0.590126 + 0.807311i
\(49\) 12.6659 3.39381i 1.80941 0.484830i
\(50\) −4.43715 + 15.1319i −0.627508 + 2.13998i
\(51\) −2.58255 + 0.653731i −0.361629 + 0.0915406i
\(52\) 12.3458 5.38462i 1.71205 0.746713i
\(53\) −3.69082 5.52371i −0.506974 0.758740i 0.486392 0.873741i \(-0.338313\pi\)
−0.993365 + 0.115001i \(0.963313\pi\)
\(54\) 3.24755 6.59192i 0.441935 0.897047i
\(55\) −0.888940 2.14609i −0.119865 0.289379i
\(56\) 5.55497 + 11.4037i 0.742314 + 1.52388i
\(57\) 2.07916 5.85679i 0.275392 0.775751i
\(58\) 5.57827 + 2.91535i 0.732463 + 0.382804i
\(59\) −6.54123 + 7.45885i −0.851596 + 0.971059i −0.999840 0.0178918i \(-0.994305\pi\)
0.148244 + 0.988951i \(0.452638\pi\)
\(60\) −12.0889 6.90389i −1.56067 0.891289i
\(61\) −0.792688 + 12.0941i −0.101493 + 1.54849i 0.578751 + 0.815504i \(0.303540\pi\)
−0.680245 + 0.732985i \(0.738126\pi\)
\(62\) 1.23404 + 1.68875i 0.156723 + 0.214471i
\(63\) −7.89109 10.8970i −0.994184 1.37289i
\(64\) −6.39384 + 4.80821i −0.799230 + 0.601026i
\(65\) 13.5321 + 23.4383i 1.67845 + 2.90716i
\(66\) 1.39798 0.224229i 0.172079 0.0276007i
\(67\) −13.4553 + 6.63540i −1.64382 + 0.810643i −0.644896 + 0.764270i \(0.723099\pi\)
−0.998924 + 0.0463724i \(0.985234\pi\)
\(68\) −3.07275 0.144130i −0.372626 0.0174783i
\(69\) −1.50007 + 1.89976i −0.180587 + 0.228705i
\(70\) −21.5188 + 13.6601i −2.57199 + 1.63269i
\(71\) 0.626981 1.51366i 0.0744089 0.179639i −0.882299 0.470690i \(-0.844005\pi\)
0.956707 + 0.291051i \(0.0940050\pi\)
\(72\) 5.79972 6.19380i 0.683504 0.729947i
\(73\) −4.95009 11.9506i −0.579364 1.39871i −0.893385 0.449293i \(-0.851676\pi\)
0.314020 0.949416i \(-0.398324\pi\)
\(74\) 1.94143 2.76311i 0.225686 0.321205i
\(75\) 7.63763 17.7387i 0.881917 2.04829i
\(76\) 4.26216 5.77355i 0.488903 0.662272i
\(77\) 0.833249 2.45467i 0.0949576 0.279736i
\(78\) −15.8075 + 4.71613i −1.78985 + 0.533997i
\(79\) −0.658075 + 2.45597i −0.0740393 + 0.276318i −0.993014 0.117999i \(-0.962352\pi\)
0.918974 + 0.394317i \(0.129019\pi\)
\(80\) −11.0407 11.6838i −1.23438 1.30629i
\(81\) −4.92538 + 7.53264i −0.547264 + 0.836960i
\(82\) 0.377724 0.620203i 0.0417126 0.0684900i
\(83\) −6.13114 + 5.37686i −0.672980 + 0.590188i −0.926114 0.377244i \(-0.876872\pi\)
0.253134 + 0.967431i \(0.418539\pi\)
\(84\) −5.06289 14.6874i −0.552407 1.60253i
\(85\) −0.404264 6.16787i −0.0438486 0.669000i
\(86\) −2.63514 3.15079i −0.284155 0.339758i
\(87\) −6.34954 4.37125i −0.680743 0.468647i
\(88\) 1.61984 + 0.221265i 0.172675 + 0.0235869i
\(89\) 5.30952 + 2.19928i 0.562808 + 0.233123i 0.645904 0.763419i \(-0.276481\pi\)
−0.0830957 + 0.996542i \(0.526481\pi\)
\(90\) 13.6735 + 10.1854i 1.44131 + 1.07364i
\(91\) −5.89216 + 29.6219i −0.617666 + 3.10522i
\(92\) −2.29477 + 1.59576i −0.239246 + 0.166370i
\(93\) −1.24993 2.23602i −0.129612 0.231864i
\(94\) 6.37560 + 5.13395i 0.657593 + 0.529527i
\(95\) 12.4881 + 7.21000i 1.28125 + 0.739730i
\(96\) 8.48603 4.89769i 0.866101 0.499868i
\(97\) 3.62485 2.09281i 0.368048 0.212492i −0.304557 0.952494i \(-0.598509\pi\)
0.672605 + 0.740001i \(0.265175\pi\)
\(98\) −18.3237 2.85067i −1.85097 0.287961i
\(99\) −1.73282 + 0.0653640i −0.174155 + 0.00656932i
\(100\) 14.3900 17.0369i 1.43900 1.70369i
\(101\) −4.78486 + 1.62424i −0.476111 + 0.161618i −0.549172 0.835710i \(-0.685057\pi\)
0.0730605 + 0.997328i \(0.476723\pi\)
\(102\) 3.71430 + 0.630737i 0.367770 + 0.0624523i
\(103\) −5.74809 + 4.41066i −0.566376 + 0.434596i −0.851846 0.523792i \(-0.824517\pi\)
0.285470 + 0.958388i \(0.407850\pi\)
\(104\) −19.0477 0.0925199i −1.86778 0.00907233i
\(105\) 28.1863 13.4171i 2.75070 1.30937i
\(106\) 1.61645 + 9.25495i 0.157004 + 0.898920i
\(107\) −2.35960 + 1.57664i −0.228112 + 0.152419i −0.664374 0.747400i \(-0.731302\pi\)
0.436263 + 0.899819i \(0.356302\pi\)
\(108\) −7.96914 + 6.67029i −0.766831 + 0.641849i
\(109\) 1.35809 + 6.82758i 0.130081 + 0.653964i 0.989715 + 0.143053i \(0.0456919\pi\)
−0.859634 + 0.510911i \(0.829308\pi\)
\(110\) −0.0769814 + 3.28419i −0.00733989 + 0.313135i
\(111\) −2.76988 + 3.07143i −0.262906 + 0.291527i
\(112\) −0.666400 17.9265i −0.0629689 1.69389i
\(113\) −4.41183 + 1.18215i −0.415030 + 0.111207i −0.460291 0.887768i \(-0.652255\pi\)
0.0452607 + 0.998975i \(0.485588\pi\)
\(114\) −6.03757 + 6.38730i −0.565470 + 0.598226i
\(115\) −3.70312 4.22260i −0.345318 0.393759i
\(116\) −5.54901 6.95997i −0.515213 0.646217i
\(117\) 19.9169 3.39024i 1.84132 0.313428i
\(118\) 12.7252 5.90879i 1.17145 0.543948i
\(119\) 4.19910 5.47238i 0.384931 0.501652i
\(120\) 11.6905 + 15.8411i 1.06720 + 1.44609i
\(121\) 6.49299 + 8.46182i 0.590271 + 0.769257i
\(122\) 7.93913 15.1908i 0.718775 1.37531i
\(123\) −0.551155 + 0.698011i −0.0496960 + 0.0629375i
\(124\) −0.630863 2.88989i −0.0566531 0.259520i
\(125\) 20.5515 + 13.7321i 1.83818 + 1.22823i
\(126\) 3.97786 + 18.6066i 0.354376 + 1.65761i
\(127\) −3.25702 −0.289014 −0.144507 0.989504i \(-0.546160\pi\)
−0.144507 + 0.989504i \(0.546160\pi\)
\(128\) 11.0193 2.56439i 0.973973 0.226662i
\(129\) 2.73657 + 4.22118i 0.240941 + 0.371654i
\(130\) −4.10523 38.0538i −0.360052 3.33754i
\(131\) 3.67537 1.81249i 0.321119 0.158358i −0.274584 0.961563i \(-0.588540\pi\)
0.595703 + 0.803205i \(0.296874\pi\)
\(132\) −1.93650 0.509130i −0.168551 0.0443141i
\(133\) 5.17258 + 15.2379i 0.448520 + 1.32130i
\(134\) 21.1979 0.891136i 1.83122 0.0769824i
\(135\) −15.1135 14.4098i −1.30076 1.24020i
\(136\) 3.89227 + 1.94302i 0.333760 + 0.166612i
\(137\) 9.17750 11.9604i 0.784087 1.02184i −0.214891 0.976638i \(-0.568940\pi\)
0.998978 0.0452039i \(-0.0143938\pi\)
\(138\) 3.02640 1.59985i 0.257624 0.136188i
\(139\) −8.28928 + 0.543308i −0.703088 + 0.0460828i −0.412754 0.910843i \(-0.635433\pi\)
−0.290334 + 0.956925i \(0.593766\pi\)
\(140\) 35.6440 5.36805i 3.01247 0.453683i
\(141\) −6.99000 7.18669i −0.588664 0.605228i
\(142\) −1.67632 + 1.59954i −0.140674 + 0.134230i
\(143\) 2.75251 + 2.75251i 0.230177 + 0.230177i
\(144\) −11.0428 + 4.69632i −0.920237 + 0.391360i
\(145\) 12.6473 12.6473i 1.05030 1.05030i
\(146\) −0.428673 + 18.2881i −0.0354773 + 1.51354i
\(147\) 21.8543 + 6.18203i 1.80251 + 0.509885i
\(148\) −4.09086 + 2.46430i −0.336266 + 0.202564i
\(149\) −0.125606 1.91638i −0.0102901 0.156996i −0.999912 0.0132975i \(-0.995767\pi\)
0.989622 0.143698i \(-0.0458995\pi\)
\(150\) −20.0200 + 18.5793i −1.63463 + 1.51699i
\(151\) 3.48378 + 2.67320i 0.283506 + 0.217542i 0.740718 0.671816i \(-0.234485\pi\)
−0.457212 + 0.889358i \(0.651152\pi\)
\(152\) −8.81373 + 5.03169i −0.714888 + 0.408124i
\(153\) −4.42212 1.31743i −0.357507 0.106508i
\(154\) −2.48108 + 2.69883i −0.199931 + 0.217478i
\(155\) 5.62821 1.91052i 0.452069 0.153457i
\(156\) 23.1434 + 2.93617i 1.85295 + 0.235082i
\(157\) 1.56431 + 3.17211i 0.124845 + 0.253162i 0.950318 0.311281i \(-0.100758\pi\)
−0.825473 + 0.564442i \(0.809091\pi\)
\(158\) 2.25523 2.80065i 0.179416 0.222808i
\(159\) −0.593205 11.4912i −0.0470442 0.911315i
\(160\) 7.60214 + 21.4248i 0.601002 + 1.69378i
\(161\) 6.26755i 0.493952i
\(162\) 10.6772 6.92797i 0.838882 0.544313i
\(163\) 7.91608 11.8472i 0.620035 0.927948i −0.379961 0.925003i \(-0.624062\pi\)
0.999996 0.00294527i \(-0.000937509\pi\)
\(164\) −0.843143 + 0.586315i −0.0658384 + 0.0457835i
\(165\) 0.580447 3.98131i 0.0451878 0.309945i
\(166\) 11.0045 3.45014i 0.854117 0.267782i
\(167\) −16.7305 + 12.8378i −1.29465 + 0.993416i −0.295369 + 0.955383i \(0.595443\pi\)
−0.999276 + 0.0380331i \(0.987891\pi\)
\(168\) −1.84730 + 21.8927i −0.142523 + 1.68906i
\(169\) −25.6675 19.6953i −1.97442 1.51503i
\(170\) −3.00303 + 8.20938i −0.230322 + 0.629631i
\(171\) 8.28698 6.87028i 0.633721 0.525383i
\(172\) 1.60742 + 5.58203i 0.122565 + 0.425626i
\(173\) 17.9649 15.7548i 1.36585 1.19781i 0.407157 0.913358i \(-0.366520\pi\)
0.958689 0.284456i \(-0.0918131\pi\)
\(174\) 5.71439 + 9.28412i 0.433207 + 0.703827i
\(175\) 12.9426 + 48.3026i 0.978371 + 3.65133i
\(176\) −1.96881 1.21222i −0.148404 0.0913742i
\(177\) −16.3465 + 5.29713i −1.22867 + 0.398157i
\(178\) −5.61073 5.88008i −0.420542 0.440730i
\(179\) −16.8246 + 3.34662i −1.25753 + 0.250138i −0.778491 0.627656i \(-0.784014\pi\)
−0.479038 + 0.877794i \(0.659014\pi\)
\(180\) −11.8643 20.9917i −0.884315 1.56463i
\(181\) 10.0074 + 14.9771i 0.743843 + 1.11324i 0.989591 + 0.143906i \(0.0459662\pi\)
−0.245749 + 0.969334i \(0.579034\pi\)
\(182\) 24.5554 34.9482i 1.82017 2.59053i
\(183\) −11.9038 + 17.2912i −0.879957 + 1.27820i
\(184\) 3.88057 0.752318i 0.286080 0.0554616i
\(185\) −5.84187 7.61327i −0.429503 0.559739i
\(186\) 0.338559 + 3.60688i 0.0248244 + 0.264469i
\(187\) −0.285768 0.841847i −0.0208975 0.0615619i
\(188\) −5.31208 10.2856i −0.387423 0.750153i
\(189\) −2.07775 23.2105i −0.151134 1.68831i
\(190\) −12.0319 16.4653i −0.872886 1.19452i
\(191\) −4.15893 7.20348i −0.300930 0.521225i 0.675417 0.737436i \(-0.263964\pi\)
−0.976347 + 0.216210i \(0.930630\pi\)
\(192\) −13.7767 + 1.48411i −0.994248 + 0.107106i
\(193\) −7.22414 + 12.5126i −0.520005 + 0.900676i 0.479724 + 0.877419i \(0.340737\pi\)
−0.999730 + 0.0232563i \(0.992597\pi\)
\(194\) −5.88521 + 0.634894i −0.422533 + 0.0455827i
\(195\) −0.650312 + 46.8721i −0.0465698 + 3.35658i
\(196\) 22.0725 + 14.1624i 1.57661 + 1.01160i
\(197\) 0.200918 + 0.0399651i 0.0143148 + 0.00284740i 0.202243 0.979335i \(-0.435177\pi\)
−0.187928 + 0.982183i \(0.560177\pi\)
\(198\) 2.27881 + 0.906042i 0.161948 + 0.0643896i
\(199\) −0.242687 + 0.585899i −0.0172037 + 0.0415333i −0.932248 0.361820i \(-0.882155\pi\)
0.915044 + 0.403353i \(0.132155\pi\)
\(200\) −28.3531 + 13.8114i −2.00487 + 0.976615i
\(201\) −25.9032 2.05905i −1.82707 0.145234i
\(202\) 7.11784 + 0.634345i 0.500810 + 0.0446323i
\(203\) 19.9171 1.30544i 1.39791 0.0916237i
\(204\) −4.44396 2.93921i −0.311139 0.205786i
\(205\) −1.36060 1.55147i −0.0950284 0.108359i
\(206\) 9.95670 2.41931i 0.693716 0.168561i
\(207\) −3.91648 + 1.49636i −0.272214 + 0.104004i
\(208\) 24.5858 + 11.0086i 1.70472 + 0.763309i
\(209\) 2.00335 + 0.536797i 0.138575 + 0.0371310i
\(210\) −44.1297 + 1.24218i −3.04524 + 0.0857182i
\(211\) −12.4771 4.23541i −0.858961 0.291578i −0.143004 0.989722i \(-0.545676\pi\)
−0.715957 + 0.698144i \(0.754009\pi\)
\(212\) 3.19981 12.8956i 0.219764 0.885670i
\(213\) 2.27509 1.69612i 0.155887 0.116216i
\(214\) 3.95351 0.690512i 0.270256 0.0472024i
\(215\) −10.7837 + 4.46676i −0.735443 + 0.304631i
\(216\) 14.1214 4.07249i 0.960842 0.277098i
\(217\) 6.12789 + 2.53825i 0.415988 + 0.172308i
\(218\) 2.14637 9.60800i 0.145370 0.650736i
\(219\) 3.23224 22.1701i 0.218414 1.49811i
\(220\) 1.97703 4.20417i 0.133292 0.283445i
\(221\) 4.58125 + 9.28985i 0.308168 + 0.624903i
\(222\) 5.33873 2.38951i 0.358312 0.160374i
\(223\) 17.7400 10.2422i 1.18796 0.685868i 0.230117 0.973163i \(-0.426089\pi\)
0.957842 + 0.287295i \(0.0927559\pi\)
\(224\) −9.38594 + 23.5693i −0.627124 + 1.57479i
\(225\) 27.0934 19.6197i 1.80623 1.30798i
\(226\) 6.38259 + 0.992956i 0.424564 + 0.0660504i
\(227\) −14.1753 0.929098i −0.940848 0.0616664i −0.412745 0.910847i \(-0.635430\pi\)
−0.528103 + 0.849180i \(0.677097\pi\)
\(228\) 11.4611 4.81065i 0.759031 0.318593i
\(229\) 6.41233 + 5.62346i 0.423739 + 0.371609i 0.844494 0.535565i \(-0.179901\pi\)
−0.420755 + 0.907174i \(0.638235\pi\)
\(230\) 2.37616 + 7.57897i 0.156679 + 0.499742i
\(231\) 3.41643 2.91328i 0.224784 0.191680i
\(232\) 3.19899 + 12.1751i 0.210024 + 0.799331i
\(233\) 12.4592 5.16075i 0.816226 0.338092i 0.0647909 0.997899i \(-0.479362\pi\)
0.751435 + 0.659807i \(0.229362\pi\)
\(234\) −27.7011 7.00046i −1.81088 0.457635i
\(235\) 19.3410 12.9233i 1.26167 0.843020i
\(236\) −19.8382 + 0.368605i −1.29135 + 0.0239941i
\(237\) −3.15695 + 3.07055i −0.205066 + 0.199453i
\(238\) −8.56000 + 4.67816i −0.554862 + 0.303240i
\(239\) −3.26976 12.2029i −0.211503 0.789341i −0.987368 0.158442i \(-0.949353\pi\)
0.775865 0.630899i \(-0.217314\pi\)
\(240\) −6.06615 27.1739i −0.391568 1.75407i
\(241\) 2.38108 8.88632i 0.153379 0.572418i −0.845860 0.533405i \(-0.820912\pi\)
0.999239 0.0390126i \(-0.0124213\pi\)
\(242\) −3.56149 14.6574i −0.228941 0.942211i
\(243\) −14.0078 + 6.83979i −0.898598 + 0.438773i
\(244\) −18.9535 + 15.1111i −1.21337 + 0.967391i
\(245\) −23.3072 + 47.2622i −1.48904 + 3.01947i
\(246\) 1.11196 0.587817i 0.0708959 0.0374778i
\(247\) −23.9577 3.15409i −1.52439 0.200690i
\(248\) −0.836014 + 4.09878i −0.0530870 + 0.260273i
\(249\) −13.8901 + 2.56313i −0.880250 + 0.162432i
\(250\) −18.7337 29.5113i −1.18482 1.86646i
\(251\) −14.7468 2.93332i −0.930810 0.185150i −0.293678 0.955904i \(-0.594879\pi\)
−0.637132 + 0.770755i \(0.719879\pi\)
\(252\) 5.49128 26.3420i 0.345918 1.65939i
\(253\) −0.671660 0.448789i −0.0422269 0.0282151i
\(254\) 4.21303 + 1.86193i 0.264349 + 0.116828i
\(255\) 4.86789 9.53530i 0.304839 0.597124i
\(256\) −15.7196 2.98223i −0.982476 0.186389i
\(257\) 12.9252 22.3871i 0.806253 1.39647i −0.109189 0.994021i \(-0.534825\pi\)
0.915442 0.402450i \(-0.131841\pi\)
\(258\) −1.12671 7.02459i −0.0701459 0.437332i
\(259\) 0.700400 10.6860i 0.0435207 0.663998i
\(260\) −16.4438 + 51.5702i −1.01980 + 3.19825i
\(261\) −5.57091 12.1342i −0.344830 0.751088i
\(262\) −5.79032 + 0.243418i −0.357727 + 0.0150384i
\(263\) 22.4451 2.95496i 1.38403 0.182211i 0.598542 0.801091i \(-0.295747\pi\)
0.785485 + 0.618881i \(0.212414\pi\)
\(264\) 2.21385 + 1.76560i 0.136253 + 0.108665i
\(265\) 26.4694 + 3.48477i 1.62600 + 0.214068i
\(266\) 2.02014 22.6676i 0.123863 1.38984i
\(267\) 5.94951 + 7.98040i 0.364104 + 0.488392i
\(268\) −27.9294 10.9654i −1.70606 0.669817i
\(269\) 6.98855 1.39011i 0.426100 0.0847565i 0.0226178 0.999744i \(-0.492800\pi\)
0.403482 + 0.914988i \(0.367800\pi\)
\(270\) 11.3121 + 27.2793i 0.688430 + 1.66017i
\(271\) 12.0485 + 12.0485i 0.731894 + 0.731894i 0.970995 0.239100i \(-0.0768525\pi\)
−0.239100 + 0.970995i \(0.576853\pi\)
\(272\) −3.92399 4.73841i −0.237927 0.287308i
\(273\) −35.0338 + 38.8478i −2.12034 + 2.35117i
\(274\) −18.7086 + 10.2245i −1.13023 + 0.617686i
\(275\) 6.10310 + 2.07172i 0.368030 + 0.124930i
\(276\) −4.82929 + 0.339356i −0.290689 + 0.0204268i
\(277\) 2.86814 + 1.41441i 0.172330 + 0.0849838i 0.526408 0.850232i \(-0.323539\pi\)
−0.354078 + 0.935216i \(0.615205\pi\)
\(278\) 11.0330 + 4.03591i 0.661713 + 0.242058i
\(279\) 0.123094 4.43521i 0.00736942 0.265529i
\(280\) −49.1751 13.4328i −2.93877 0.802761i
\(281\) 1.84053 + 13.9802i 0.109797 + 0.833992i 0.954386 + 0.298576i \(0.0965116\pi\)
−0.844589 + 0.535416i \(0.820155\pi\)
\(282\) 4.93334 + 13.2921i 0.293776 + 0.791532i
\(283\) 8.59349 + 7.53629i 0.510830 + 0.447986i 0.875547 0.483133i \(-0.160501\pi\)
−0.364717 + 0.931118i \(0.618834\pi\)
\(284\) 3.08276 1.11074i 0.182928 0.0659103i
\(285\) 12.1868 + 21.8012i 0.721884 + 1.29139i
\(286\) −1.98692 5.13395i −0.117489 0.303577i
\(287\) 2.30282i 0.135931i
\(288\) 16.9689 + 0.238010i 0.999902 + 0.0140249i
\(289\) 14.6344i 0.860845i
\(290\) −23.5897 + 9.12957i −1.38523 + 0.536107i
\(291\) 7.24900 + 0.100574i 0.424944 + 0.00589575i
\(292\) 11.0092 23.4110i 0.644263 1.37003i
\(293\) −9.36180 8.21007i −0.546922 0.479638i 0.340725 0.940163i \(-0.389328\pi\)
−0.887646 + 0.460525i \(0.847661\pi\)
\(294\) −24.7349 20.4899i −1.44257 1.19500i
\(295\) −5.20398 39.5282i −0.302988 2.30142i
\(296\) 6.70037 0.849032i 0.389451 0.0493490i
\(297\) −2.63612 1.43933i −0.152963 0.0835183i
\(298\) −0.933052 + 2.55068i −0.0540503 + 0.147757i
\(299\) 8.44106 + 4.16267i 0.488159 + 0.240733i
\(300\) 36.5175 12.5879i 2.10834 0.726765i
\(301\) −12.3343 4.18692i −0.710936 0.241330i
\(302\) −2.97817 5.44940i −0.171375 0.313577i
\(303\) −8.55941 1.82637i −0.491725 0.104922i
\(304\) 14.2772 1.47010i 0.818853 0.0843160i
\(305\) −34.4414 34.4414i −1.97211 1.97211i
\(306\) 4.96698 + 4.23210i 0.283943 + 0.241933i
\(307\) −13.5141 + 2.68812i −0.771291 + 0.153419i −0.565022 0.825076i \(-0.691132\pi\)
−0.206269 + 0.978495i \(0.566132\pi\)
\(308\) 4.75216 2.07266i 0.270779 0.118101i
\(309\) −12.4634 + 1.46524i −0.709018 + 0.0833547i
\(310\) −8.37239 0.746151i −0.475520 0.0423785i
\(311\) 8.52297 + 1.12207i 0.483293 + 0.0636267i 0.368236 0.929732i \(-0.379962\pi\)
0.115057 + 0.993359i \(0.463295\pi\)
\(312\) −28.2580 17.0283i −1.59979 0.964036i
\(313\) −12.4229 + 1.63551i −0.702186 + 0.0924445i −0.473161 0.880976i \(-0.656887\pi\)
−0.229025 + 0.973421i \(0.573554\pi\)
\(314\) −0.210087 4.99745i −0.0118559 0.282022i
\(315\) 53.8343 + 5.03174i 3.03322 + 0.283507i
\(316\) −4.51822 + 2.33347i −0.254170 + 0.131268i
\(317\) −1.62007 + 24.7175i −0.0909922 + 1.38827i 0.671370 + 0.741122i \(0.265706\pi\)
−0.762362 + 0.647150i \(0.775961\pi\)
\(318\) −5.80182 + 15.2033i −0.325350 + 0.852558i
\(319\) 1.28627 2.22789i 0.0720174 0.124738i
\(320\) 2.41426 32.0593i 0.134961 1.79217i
\(321\) −4.90880 + 0.253404i −0.273983 + 0.0141436i
\(322\) −3.58294 + 8.10721i −0.199669 + 0.451797i
\(323\) 4.58874 + 3.06610i 0.255325 + 0.170602i
\(324\) −17.7717 + 2.85768i −0.987317 + 0.158760i
\(325\) −73.6494 14.6498i −4.08533 0.812623i
\(326\) −17.0123 + 10.7993i −0.942223 + 0.598120i
\(327\) −4.03374 + 11.3626i −0.223067 + 0.628356i
\(328\) 1.42580 0.276417i 0.0787266 0.0152626i
\(329\) 25.7362 + 3.38823i 1.41888 + 0.186799i
\(330\) −3.02680 + 4.81809i −0.166620 + 0.265227i
\(331\) −12.7619 + 25.8786i −0.701458 + 1.42242i 0.195680 + 0.980668i \(0.437309\pi\)
−0.897139 + 0.441749i \(0.854358\pi\)
\(332\) −16.2069 1.82808i −0.889470 0.100329i
\(333\) −6.84474 + 2.11360i −0.375089 + 0.115824i
\(334\) 28.9802 7.04169i 1.58572 0.385304i
\(335\) 15.6045 58.2367i 0.852564 3.18181i
\(336\) 14.9048 27.2627i 0.813125 1.48730i
\(337\) 0.971922 + 3.62726i 0.0529440 + 0.197590i 0.987332 0.158667i \(-0.0507196\pi\)
−0.934388 + 0.356257i \(0.884053\pi\)
\(338\) 21.9423 + 40.1496i 1.19350 + 2.18385i
\(339\) −7.61237 2.15335i −0.413447 0.116954i
\(340\) 8.57750 8.90229i 0.465181 0.482794i
\(341\) 0.710800 0.474942i 0.0384920 0.0257195i
\(342\) −14.6469 + 4.14948i −0.792013 + 0.224378i
\(343\) −25.3269 + 10.4907i −1.36752 + 0.566447i
\(344\) 1.11182 8.13939i 0.0599451 0.438846i
\(345\) −1.76526 9.56630i −0.0950384 0.515033i
\(346\) −32.2445 + 10.1093i −1.73347 + 0.543478i
\(347\) 7.07351 + 6.20330i 0.379726 + 0.333011i 0.827839 0.560966i \(-0.189570\pi\)
−0.448113 + 0.893977i \(0.647904\pi\)
\(348\) −2.08428 15.2759i −0.111729 0.818876i
\(349\) −9.22804 0.604837i −0.493965 0.0323762i −0.183615 0.982998i \(-0.558780\pi\)
−0.310351 + 0.950622i \(0.600447\pi\)
\(350\) 10.8713 69.8793i 0.581095 3.73520i
\(351\) 32.6395 + 12.6172i 1.74217 + 0.673458i
\(352\) 1.85371 + 2.69352i 0.0988032 + 0.143565i
\(353\) −7.61190 + 4.39473i −0.405140 + 0.233908i −0.688700 0.725047i \(-0.741818\pi\)
0.283559 + 0.958955i \(0.408485\pi\)
\(354\) 24.1727 + 2.49274i 1.28476 + 0.132487i
\(355\) 2.91214 + 5.90524i 0.154560 + 0.313417i
\(356\) 3.89617 + 10.8135i 0.206497 + 0.573113i
\(357\) 11.1002 4.41847i 0.587487 0.233850i
\(358\) 23.6761 + 5.28910i 1.25132 + 0.279538i
\(359\) 3.68025 + 1.52441i 0.194236 + 0.0804552i 0.477681 0.878533i \(-0.341477\pi\)
−0.283445 + 0.958988i \(0.591477\pi\)
\(360\) 3.34652 + 33.9357i 0.176377 + 1.78857i
\(361\) 5.65879 2.34395i 0.297831 0.123366i
\(362\) −4.38288 25.0941i −0.230359 1.31892i
\(363\) 2.15700 + 18.3475i 0.113213 + 0.962995i
\(364\) −51.7416 + 31.1688i −2.71200 + 1.63369i
\(365\) 49.2247 + 16.7095i 2.57654 + 0.874618i
\(366\) 25.2826 15.5615i 1.32154 0.813413i
\(367\) −15.0223 4.02522i −0.784158 0.210115i −0.155541 0.987829i \(-0.549712\pi\)
−0.628617 + 0.777715i \(0.716379\pi\)
\(368\) −5.44968 1.24525i −0.284084 0.0649130i
\(369\) −1.43899 + 0.549793i −0.0749110 + 0.0286211i
\(370\) 3.20434 + 13.1875i 0.166586 + 0.685587i
\(371\) 19.6441 + 22.3998i 1.01987 + 1.16294i
\(372\) 1.62399 4.85912i 0.0842000 0.251934i
\(373\) −2.48020 + 0.162561i −0.128420 + 0.00841708i −0.129477 0.991582i \(-0.541330\pi\)
0.00105767 + 0.999999i \(0.499663\pi\)
\(374\) −0.111606 + 1.25231i −0.00577103 + 0.0647555i
\(375\) 18.4004 + 38.6552i 0.950195 + 1.99615i
\(376\) 0.991379 + 16.3414i 0.0511265 + 0.842741i
\(377\) −11.4701 + 27.6912i −0.590738 + 1.42617i
\(378\) −10.5810 + 31.2110i −0.544227 + 1.60532i
\(379\) 5.79110 + 1.15192i 0.297469 + 0.0591703i 0.341569 0.939857i \(-0.389042\pi\)
−0.0440995 + 0.999027i \(0.514042\pi\)
\(380\) 6.15091 + 28.1764i 0.315535 + 1.44542i
\(381\) −4.84593 2.88817i −0.248265 0.147965i
\(382\) 1.26169 + 11.6954i 0.0645538 + 0.598387i
\(383\) −4.97134 + 8.61062i −0.254024 + 0.439982i −0.964630 0.263608i \(-0.915088\pi\)
0.710606 + 0.703590i \(0.248421\pi\)
\(384\) 18.6689 + 5.95593i 0.952692 + 0.303937i
\(385\) 5.20880 + 9.02191i 0.265465 + 0.459799i
\(386\) 16.4976 12.0555i 0.839706 0.613610i
\(387\) 0.328442 + 8.70710i 0.0166956 + 0.442607i
\(388\) 7.97559 + 2.54312i 0.404899 + 0.129107i
\(389\) 7.20425 + 21.2230i 0.365270 + 1.07605i 0.961869 + 0.273511i \(0.0881851\pi\)
−0.596599 + 0.802540i \(0.703482\pi\)
\(390\) 27.6363 60.2583i 1.39942 3.05130i
\(391\) −1.30853 1.70531i −0.0661753 0.0862413i
\(392\) −20.4551 30.9375i −1.03314 1.56258i
\(393\) 7.07560 + 0.562439i 0.356917 + 0.0283713i
\(394\) −0.237046 0.166554i −0.0119422 0.00839086i
\(395\) −5.67689 8.49606i −0.285635 0.427483i
\(396\) −2.42973 2.47470i −0.122099 0.124358i
\(397\) −8.21894 + 1.63485i −0.412497 + 0.0820508i −0.396976 0.917829i \(-0.629941\pi\)
−0.0155205 + 0.999880i \(0.504941\pi\)
\(398\) 0.648860 0.619138i 0.0325244 0.0310346i
\(399\) −5.81628 + 27.2584i −0.291178 + 1.36463i
\(400\) 44.5709 1.65688i 2.22855 0.0828440i
\(401\) 3.91792 + 14.6219i 0.195652 + 0.730182i 0.992097 + 0.125472i \(0.0400445\pi\)
−0.796445 + 0.604710i \(0.793289\pi\)
\(402\) 32.3293 + 17.4714i 1.61244 + 0.871393i
\(403\) −7.48841 + 6.56716i −0.373024 + 0.327133i
\(404\) −8.84445 4.88956i −0.440028 0.243265i
\(405\) −9.70856 34.8415i −0.482422 1.73129i
\(406\) −26.5095 9.69730i −1.31564 0.481269i
\(407\) −1.09501 0.840234i −0.0542779 0.0416489i
\(408\) 4.06811 + 6.34238i 0.201402 + 0.313995i
\(409\) −0.261233 + 0.200451i −0.0129171 + 0.00991165i −0.615200 0.788371i \(-0.710925\pi\)
0.602283 + 0.798283i \(0.294258\pi\)
\(410\) 0.873047 + 2.78466i 0.0431167 + 0.137525i
\(411\) 24.2605 9.65695i 1.19668 0.476342i
\(412\) −14.2622 2.56247i −0.702650 0.126244i
\(413\) 24.7184 36.9937i 1.21631 1.82034i
\(414\) 5.92147 + 0.303339i 0.291025 + 0.0149083i
\(415\) 32.7724i 1.60873i
\(416\) −25.5090 28.2947i −1.25068 1.38726i
\(417\) −12.8149 6.54217i −0.627549 0.320372i
\(418\) −2.28451 1.83961i −0.111739 0.0899781i
\(419\) −8.08547 16.3957i −0.395001 0.800983i −0.999989 0.00474832i \(-0.998489\pi\)
0.604987 0.796235i \(-0.293178\pi\)
\(420\) 57.7928 + 23.6206i 2.82000 + 1.15257i
\(421\) −10.3708 + 3.52041i −0.505441 + 0.171574i −0.562501 0.826797i \(-0.690161\pi\)
0.0570598 + 0.998371i \(0.481827\pi\)
\(422\) 13.7182 + 12.6113i 0.667792 + 0.613910i
\(423\) −4.02720 16.8910i −0.195809 0.821270i
\(424\) −11.5110 + 14.8515i −0.559022 + 0.721251i
\(425\) 13.6061 + 10.4403i 0.659991 + 0.506429i
\(426\) −3.91249 + 0.893375i −0.189561 + 0.0432842i
\(427\) −3.55498 54.2386i −0.172038 2.62479i
\(428\) −5.50869 1.36689i −0.266273 0.0660711i
\(429\) 1.65451 + 6.53610i 0.0798804 + 0.315566i
\(430\) 16.5025 + 0.386817i 0.795819 + 0.0186540i
\(431\) 16.1254 16.1254i 0.776731 0.776731i −0.202542 0.979273i \(-0.564920\pi\)
0.979273 + 0.202542i \(0.0649204\pi\)
\(432\) −20.5945 2.80488i −0.990852 0.134950i
\(433\) 7.66573 + 7.66573i 0.368392 + 0.368392i 0.866890 0.498499i \(-0.166115\pi\)
−0.498499 + 0.866890i \(0.666115\pi\)
\(434\) −6.47553 6.78639i −0.310835 0.325757i
\(435\) 30.0323 7.60219i 1.43994 0.364497i
\(436\) −8.26893 + 11.2012i −0.396010 + 0.536438i
\(437\) 5.00386 0.327970i 0.239367 0.0156889i
\(438\) −16.8548 + 26.8297i −0.805354 + 1.28197i
\(439\) 7.89214 10.2852i 0.376672 0.490888i −0.566096 0.824340i \(-0.691547\pi\)
0.942767 + 0.333452i \(0.108213\pi\)
\(440\) −4.96071 + 4.30798i −0.236493 + 0.205375i
\(441\) 27.0338 + 28.5772i 1.28732 + 1.36082i
\(442\) −0.615263 14.6356i −0.0292651 0.696143i
\(443\) −0.790383 2.32839i −0.0375522 0.110625i 0.926537 0.376203i \(-0.122771\pi\)
−0.964089 + 0.265578i \(0.914437\pi\)
\(444\) −8.27177 + 0.0389205i −0.392561 + 0.00184708i
\(445\) −20.7139 + 10.2150i −0.981935 + 0.484237i
\(446\) −28.8022 + 3.10717i −1.36382 + 0.147129i
\(447\) 1.51247 2.96265i 0.0715374 0.140129i
\(448\) 25.6146 25.1217i 1.21018 1.18689i
\(449\) −17.6858 −0.834643 −0.417322 0.908759i \(-0.637031\pi\)
−0.417322 + 0.908759i \(0.637031\pi\)
\(450\) −46.2619 + 9.89022i −2.18080 + 0.466229i
\(451\) −0.246781 0.164894i −0.0116205 0.00776456i
\(452\) −7.68838 4.93311i −0.361631 0.232034i
\(453\) 2.81285 + 7.06654i 0.132159 + 0.332015i
\(454\) 17.8049 + 9.30533i 0.835627 + 0.436721i
\(455\) −73.8887 96.2936i −3.46395 4.51431i
\(456\) −17.5753 0.329233i −0.823039 0.0154177i
\(457\) 14.9731 19.5133i 0.700412 0.912794i −0.298725 0.954339i \(-0.596561\pi\)
0.999137 + 0.0415449i \(0.0132280\pi\)
\(458\) −5.07975 10.9398i −0.237361 0.511182i
\(459\) −5.41118 5.88145i −0.252572 0.274522i
\(460\) 1.25902 11.1619i 0.0587021 0.520428i
\(461\) −19.6655 22.4242i −0.915912 1.04440i −0.998855 0.0478437i \(-0.984765\pi\)
0.0829424 0.996554i \(-0.473568\pi\)
\(462\) −6.08464 + 1.81534i −0.283083 + 0.0844572i
\(463\) −1.61626 + 0.433075i −0.0751138 + 0.0201267i −0.296180 0.955132i \(-0.595713\pi\)
0.221066 + 0.975259i \(0.429046\pi\)
\(464\) 2.82208 17.5774i 0.131012 0.816013i
\(465\) 10.0680 + 2.14827i 0.466894 + 0.0996238i
\(466\) −19.0664 0.446916i −0.883234 0.0207030i
\(467\) 6.31060 + 31.7255i 0.292020 + 1.46808i 0.796489 + 0.604653i \(0.206688\pi\)
−0.504469 + 0.863430i \(0.668312\pi\)
\(468\) 31.8300 + 24.8910i 1.47134 + 1.15059i
\(469\) 55.9426 37.3796i 2.58319 1.72603i
\(470\) −32.4058 + 5.65993i −1.49477 + 0.261073i
\(471\) −0.485425 + 6.10674i −0.0223672 + 0.281384i
\(472\) 25.8718 + 10.8640i 1.19085 + 0.500055i
\(473\) −1.33189 + 1.02200i −0.0612404 + 0.0469914i
\(474\) 5.83890 2.16710i 0.268190 0.0995383i
\(475\) −37.8863 + 12.8607i −1.73834 + 0.590088i
\(476\) 13.7469 1.15785i 0.630087 0.0530701i
\(477\) 9.30728 17.6232i 0.426151 0.806910i
\(478\) −2.74647 + 17.6540i −0.125621 + 0.807473i
\(479\) −22.9392 + 13.2440i −1.04812 + 0.605132i −0.922122 0.386899i \(-0.873546\pi\)
−0.125997 + 0.992031i \(0.540213\pi\)
\(480\) −7.68768 + 38.6179i −0.350893 + 1.76266i
\(481\) 13.9267 + 8.04056i 0.635001 + 0.366618i
\(482\) −8.15998 + 10.1335i −0.371677 + 0.461567i
\(483\) 5.55776 9.32512i 0.252887 0.424307i
\(484\) −3.77223 + 20.9956i −0.171465 + 0.954346i
\(485\) −3.28161 + 16.4978i −0.149010 + 0.749125i
\(486\) 22.0294 0.839674i 0.999274 0.0380884i
\(487\) 31.9022 + 13.2143i 1.44563 + 0.598799i 0.961156 0.276007i \(-0.0890113\pi\)
0.484473 + 0.874806i \(0.339011\pi\)
\(488\) 33.1553 8.71154i 1.50087 0.394353i
\(489\) 22.2834 10.6072i 1.00769 0.479676i
\(490\) 57.1665 47.8109i 2.58252 2.15987i
\(491\) 1.56966 + 23.9484i 0.0708379 + 1.08078i 0.874289 + 0.485406i \(0.161328\pi\)
−0.803451 + 0.595371i \(0.797005\pi\)
\(492\) −1.77438 + 0.124686i −0.0799951 + 0.00562129i
\(493\) 5.14662 4.51346i 0.231792 0.203276i
\(494\) 29.1867 + 17.7757i 1.31317 + 0.799765i
\(495\) 4.39405 5.40885i 0.197498 0.243110i
\(496\) 3.42453 4.82394i 0.153766 0.216601i
\(497\) −1.90172 + 7.09730i −0.0853036 + 0.318357i
\(498\) 19.4324 + 4.62502i 0.870787 + 0.207252i
\(499\) −6.82512 + 20.1062i −0.305534 + 0.900075i 0.680385 + 0.732855i \(0.261813\pi\)
−0.985920 + 0.167221i \(0.946521\pi\)
\(500\) 7.36184 + 48.8829i 0.329231 + 2.18611i
\(501\) −36.2762 + 4.26477i −1.62070 + 0.190536i
\(502\) 17.3984 + 12.2245i 0.776530 + 0.545608i
\(503\) −3.66793 8.85516i −0.163545 0.394832i 0.820769 0.571261i \(-0.193546\pi\)
−0.984313 + 0.176429i \(0.943546\pi\)
\(504\) −22.1619 + 30.9348i −0.987170 + 1.37795i
\(505\) 7.77111 18.7611i 0.345810 0.834858i
\(506\) 0.612251 + 0.964483i 0.0272179 + 0.0428765i
\(507\) −20.7243 52.0642i −0.920396 2.31225i
\(508\) −4.38525 4.81688i −0.194564 0.213715i
\(509\) 6.54260 3.22645i 0.289996 0.143010i −0.291473 0.956579i \(-0.594145\pi\)
0.581468 + 0.813569i \(0.302479\pi\)
\(510\) −11.7477 + 9.55132i −0.520198 + 0.422939i
\(511\) 29.0054 + 50.2388i 1.28312 + 2.22243i
\(512\) 18.6288 + 12.8439i 0.823286 + 0.567627i
\(513\) 18.4219 2.87339i 0.813349 0.126863i
\(514\) −29.5170 + 21.5694i −1.30194 + 0.951384i
\(515\) 1.90435 29.0548i 0.0839158 1.28031i
\(516\) −2.55829 + 9.73056i −0.112622 + 0.428364i
\(517\) 2.20595 2.51540i 0.0970174 0.110627i
\(518\) −7.01481 + 13.4222i −0.308213 + 0.589739i
\(519\) 40.6995 7.51024i 1.78651 0.329663i
\(520\) 50.7513 57.3069i 2.22559 2.51307i
\(521\) −1.19466 2.88415i −0.0523388 0.126357i 0.895547 0.444966i \(-0.146784\pi\)
−0.947886 + 0.318609i \(0.896784\pi\)
\(522\) 0.269398 + 18.8805i 0.0117912 + 0.826379i
\(523\) −11.6917 17.4978i −0.511241 0.765126i 0.482612 0.875834i \(-0.339688\pi\)
−0.993853 + 0.110708i \(0.964688\pi\)
\(524\) 7.62905 + 2.99525i 0.333277 + 0.130848i
\(525\) −23.5758 + 83.3435i −1.02893 + 3.63741i
\(526\) −30.7225 9.00880i −1.33957 0.392802i
\(527\) 2.19725 0.588750i 0.0957135 0.0256464i
\(528\) −1.85434 3.54943i −0.0806997 0.154469i
\(529\) 20.3297 + 5.44734i 0.883902 + 0.236841i
\(530\) −32.2467 19.6393i −1.40071 0.853076i
\(531\) −29.0182 6.61395i −1.25928 0.287021i
\(532\) −15.5714 + 28.1662i −0.675104 + 1.22116i
\(533\) 3.10141 + 1.52945i 0.134337 + 0.0662477i
\(534\) −3.13371 13.7239i −0.135609 0.593893i
\(535\) 1.48862 11.3072i 0.0643584 0.488851i
\(536\) 29.8587 + 30.1502i 1.28970 + 1.30229i
\(537\) −27.9999 9.93999i −1.20829 0.428942i
\(538\) −9.83452 2.19697i −0.423996 0.0947182i
\(539\) −1.47866 + 7.43372i −0.0636903 + 0.320193i
\(540\) 0.962219 41.7531i 0.0414073 1.79677i
\(541\) −19.2708 + 28.8408i −0.828518 + 1.23996i 0.139784 + 0.990182i \(0.455359\pi\)
−0.968302 + 0.249783i \(0.919641\pi\)
\(542\) −8.69730 22.4727i −0.373581 0.965286i
\(543\) 1.60843 + 31.1576i 0.0690243 + 1.33710i
\(544\) 2.36698 + 8.37245i 0.101483 + 0.358966i
\(545\) −24.2279 13.9880i −1.03781 0.599179i
\(546\) 67.5249 30.2228i 2.88980 1.29342i
\(547\) 8.76448 + 0.574454i 0.374742 + 0.0245619i 0.251611 0.967828i \(-0.419040\pi\)
0.123131 + 0.992390i \(0.460706\pi\)
\(548\) 30.0450 2.53059i 1.28346 0.108101i
\(549\) −33.0440 + 15.1708i −1.41028 + 0.647473i
\(550\) −6.71016 6.16874i −0.286122 0.263036i
\(551\) 2.08446 + 15.8330i 0.0888009 + 0.674510i
\(552\) 6.44080 + 2.32177i 0.274138 + 0.0988212i
\(553\) 1.48837 11.3053i 0.0632921 0.480751i
\(554\) −2.90144 3.46919i −0.123270 0.147392i
\(555\) −1.94069 16.5076i −0.0823779 0.700709i
\(556\) −11.9642 11.5277i −0.507394 0.488883i
\(557\) 6.69031 + 33.6344i 0.283477 + 1.42514i 0.815672 + 0.578515i \(0.196367\pi\)
−0.532195 + 0.846622i \(0.678633\pi\)
\(558\) −2.69468 + 5.66668i −0.114075 + 0.239890i
\(559\) 13.8309 13.8309i 0.584984 0.584984i
\(560\) 55.9300 + 45.4872i 2.36347 + 1.92219i
\(561\) 0.321331 1.50594i 0.0135666 0.0635808i
\(562\) 5.61124 19.1359i 0.236696 0.807200i
\(563\) −7.31191 + 21.5402i −0.308160 + 0.907811i 0.676971 + 0.736010i \(0.263292\pi\)
−0.985132 + 0.171802i \(0.945041\pi\)
\(564\) 1.21723 20.0138i 0.0512546 0.842733i
\(565\) 8.11844 16.4626i 0.341545 0.692586i
\(566\) −6.80763 14.6609i −0.286146 0.616246i
\(567\) 17.4905 36.3759i 0.734534 1.52765i
\(568\) −4.62259 0.325537i −0.193959 0.0136592i
\(569\) −28.5857 + 3.76338i −1.19837 + 0.157769i −0.703179 0.711013i \(-0.748237\pi\)
−0.495195 + 0.868782i \(0.664903\pi\)
\(570\) −3.30095 35.1671i −0.138262 1.47299i
\(571\) −0.718262 + 0.819021i −0.0300583 + 0.0342750i −0.766674 0.642037i \(-0.778090\pi\)
0.736615 + 0.676312i \(0.236423\pi\)
\(572\) −0.364773 + 7.77673i −0.0152519 + 0.325162i
\(573\) 0.199865 14.4056i 0.00834950 0.601801i
\(574\) −1.31644 + 2.97875i −0.0549472 + 0.124331i
\(575\) 15.5831 0.649860
\(576\) −21.8136 10.0084i −0.908899 0.417016i
\(577\) −0.851466 −0.0354470 −0.0177235 0.999843i \(-0.505642\pi\)
−0.0177235 + 0.999843i \(0.505642\pi\)
\(578\) 8.36595 18.9299i 0.347978 0.787379i
\(579\) −21.8439 + 12.2107i −0.907803 + 0.507460i
\(580\) 35.7328 + 1.67607i 1.48372 + 0.0695951i
\(581\) 24.1137 27.4964i 1.00041 1.14074i
\(582\) −9.31925 4.27410i −0.386295 0.177167i
\(583\) 3.80709 0.501213i 0.157674 0.0207581i
\(584\) −27.6239 + 23.9891i −1.14308 + 0.992677i
\(585\) −42.5315 + 69.1616i −1.75846 + 2.85948i
\(586\) 7.41628 + 15.9717i 0.306364 + 0.659786i
\(587\) 13.8385 28.0618i 0.571178 1.15823i −0.399250 0.916842i \(-0.630729\pi\)
0.970428 0.241392i \(-0.0776039\pi\)
\(588\) 20.2818 + 40.6443i 0.836409 + 1.67614i
\(589\) −1.70582 + 5.02518i −0.0702870 + 0.207059i
\(590\) −15.8654 + 54.1055i −0.653168 + 2.22749i
\(591\) 0.263496 + 0.237626i 0.0108388 + 0.00977464i
\(592\) −9.15243 2.73212i −0.376163 0.112290i
\(593\) −8.39840 + 8.39840i −0.344881 + 0.344881i −0.858199 0.513318i \(-0.828416\pi\)
0.513318 + 0.858199i \(0.328416\pi\)
\(594\) 2.58707 + 3.36878i 0.106149 + 0.138223i
\(595\) 5.40800 + 27.1879i 0.221707 + 1.11459i
\(596\) 2.66506 2.76597i 0.109165 0.113299i
\(597\) −0.880627 + 0.656522i −0.0360417 + 0.0268696i
\(598\) −8.53905 10.2100i −0.349188 0.417517i
\(599\) 3.55014 26.9660i 0.145055 1.10180i −0.751773 0.659421i \(-0.770801\pi\)
0.896828 0.442379i \(-0.145865\pi\)
\(600\) −54.4323 4.59298i −2.22219 0.187508i
\(601\) −5.63064 42.7689i −0.229678 1.74458i −0.586085 0.810250i \(-0.699331\pi\)
0.356406 0.934331i \(-0.384002\pi\)
\(602\) 13.5611 + 12.4670i 0.552711 + 0.508115i
\(603\) −36.7140 26.0333i −1.49511 1.06016i
\(604\) 0.737104 + 8.75143i 0.0299923 + 0.356091i
\(605\) −42.7719 2.80342i −1.73892 0.113975i
\(606\) 10.0277 + 7.25556i 0.407348 + 0.294737i
\(607\) −10.3450 5.97267i −0.419889 0.242423i 0.275141 0.961404i \(-0.411276\pi\)
−0.695030 + 0.718981i \(0.744609\pi\)
\(608\) −19.3083 6.26017i −0.783054 0.253883i
\(609\) 30.7911 + 15.7192i 1.24772 + 0.636976i
\(610\) 24.8618 + 64.2397i 1.00662 + 2.60099i
\(611\) −21.6563 + 32.4109i −0.876119 + 1.31120i
\(612\) −4.00556 8.31376i −0.161915 0.336064i
\(613\) 4.88034 24.5351i 0.197115 0.990965i −0.747868 0.663847i \(-0.768923\pi\)
0.944984 0.327118i \(-0.106077\pi\)
\(614\) 19.0175 + 4.24840i 0.767484 + 0.171451i
\(615\) −0.648592 3.51485i −0.0261537 0.141732i
\(616\) −7.33188 0.0356129i −0.295410 0.00143488i
\(617\) 0.766344 5.82096i 0.0308519 0.234343i −0.969071 0.246783i \(-0.920627\pi\)
0.999923 + 0.0124399i \(0.00395984\pi\)
\(618\) 16.9593 + 5.22957i 0.682204 + 0.210364i
\(619\) 42.1303 + 20.7764i 1.69336 + 0.835073i 0.992566 + 0.121710i \(0.0388377\pi\)
0.700795 + 0.713363i \(0.252829\pi\)
\(620\) 10.4033 + 5.75137i 0.417808 + 0.230980i
\(621\) −7.15400 1.24660i −0.287080 0.0500242i
\(622\) −10.3832 6.32370i −0.416328 0.253557i
\(623\) −24.8954 6.67070i −0.997412 0.267256i
\(624\) 26.8179 + 38.1805i 1.07357 + 1.52844i
\(625\) −42.0949 + 11.2793i −1.68380 + 0.451172i
\(626\) 17.0043 + 4.98619i 0.679629 + 0.199288i
\(627\) 2.50467 + 2.57515i 0.100027 + 0.102841i
\(628\) −2.58511 + 6.58441i −0.103157 + 0.262747i
\(629\) −2.04045 3.05375i −0.0813580 0.121761i
\(630\) −66.7594 37.2839i −2.65976 1.48543i
\(631\) 14.3851 + 34.7287i 0.572662 + 1.38253i 0.899281 + 0.437371i \(0.144090\pi\)
−0.326619 + 0.945156i \(0.605910\pi\)
\(632\) 7.17838 0.435490i 0.285541 0.0173229i
\(633\) −14.8082 17.3657i −0.588574 0.690226i
\(634\) 16.2257 31.0465i 0.644406 1.23301i
\(635\) 8.63030 9.84097i 0.342483 0.390527i
\(636\) 16.1960 16.3491i 0.642212 0.648284i
\(637\) 5.77555 88.1179i 0.228836 3.49136i
\(638\) −2.93743 + 2.14651i −0.116294 + 0.0849810i
\(639\) 4.88901 0.506113i 0.193406 0.0200215i
\(640\) −21.4501 + 40.0893i −0.847889 + 1.58467i
\(641\) −14.1500 24.5085i −0.558890 0.968026i −0.997589 0.0693925i \(-0.977894\pi\)
0.438699 0.898634i \(-0.355439\pi\)
\(642\) 6.49451 + 2.47841i 0.256318 + 0.0978149i
\(643\) −14.8738 + 7.33494i −0.586565 + 0.289262i −0.711255 0.702934i \(-0.751873\pi\)
0.124690 + 0.992196i \(0.460206\pi\)
\(644\) 9.26921 8.43862i 0.365258 0.332528i
\(645\) −20.0054 2.91664i −0.787710 0.114843i
\(646\) −4.18286 6.58929i −0.164572 0.259252i
\(647\) 5.81523 14.0392i 0.228620 0.551938i −0.767390 0.641181i \(-0.778445\pi\)
0.996010 + 0.0892430i \(0.0284448\pi\)
\(648\) 24.6217 + 6.46298i 0.967233 + 0.253890i
\(649\) −2.19446 5.29788i −0.0861399 0.207960i
\(650\) 86.8923 + 61.0526i 3.40820 + 2.39468i
\(651\) 6.86653 + 9.21043i 0.269120 + 0.360985i
\(652\) 28.1793 4.24385i 1.10359 0.166202i
\(653\) −9.26150 + 27.2835i −0.362431 + 1.06769i 0.600890 + 0.799332i \(0.294813\pi\)
−0.963320 + 0.268354i \(0.913520\pi\)
\(654\) 11.7134 12.3919i 0.458029 0.484561i
\(655\) −4.26245 + 15.9077i −0.166548 + 0.621564i
\(656\) −2.00232 0.457528i −0.0781775 0.0178635i
\(657\) 24.4684 30.1193i 0.954603 1.17507i
\(658\) −31.3534 19.0952i −1.22228 0.744410i
\(659\) −12.9052 + 11.3176i −0.502716 + 0.440870i −0.872764 0.488143i \(-0.837675\pi\)
0.370048 + 0.929013i \(0.379341\pi\)
\(660\) 6.66956 4.50200i 0.259612 0.175240i
\(661\) −2.31455 35.3132i −0.0900255 1.37352i −0.768947 0.639313i \(-0.779219\pi\)
0.678921 0.734211i \(-0.262448\pi\)
\(662\) 31.3017 26.1790i 1.21658 1.01748i
\(663\) −1.42162 + 17.8843i −0.0552111 + 0.694567i
\(664\) 19.9190 + 11.6296i 0.773006 + 0.451315i
\(665\) −59.7469 24.7480i −2.31689 0.959686i
\(666\) 10.0621 + 1.17891i 0.389898 + 0.0456820i
\(667\) 1.21345 6.10041i 0.0469848 0.236209i
\(668\) −41.5120 7.45836i −1.60615 0.288573i
\(669\) 35.4766 + 0.492208i 1.37160 + 0.0190299i
\(670\) −53.4766 + 66.4099i −2.06598 + 2.56564i
\(671\) −6.06702 3.50280i −0.234215 0.135224i
\(672\) −34.8649 + 26.7443i −1.34494 + 1.03168i
\(673\) −30.4269 + 17.5670i −1.17287 + 0.677157i −0.954355 0.298676i \(-0.903455\pi\)
−0.218516 + 0.975833i \(0.570122\pi\)
\(674\) 0.816376 5.24756i 0.0314456 0.202128i
\(675\) 57.7085 5.16594i 2.22120 0.198837i
\(676\) −5.43076 64.4780i −0.208875 2.47992i
\(677\) −19.1769 + 6.50967i −0.737027 + 0.250187i −0.664613 0.747188i \(-0.731404\pi\)
−0.0724141 + 0.997375i \(0.523070\pi\)
\(678\) 8.61578 + 7.13713i 0.330887 + 0.274100i
\(679\) −14.8923 + 11.4272i −0.571513 + 0.438537i
\(680\) −16.1843 + 6.61185i −0.620640 + 0.253553i
\(681\) −20.2667 13.9523i −0.776623 0.534654i
\(682\) −1.19094 + 0.208008i −0.0456036 + 0.00796503i
\(683\) −28.8710 + 19.2910i −1.10472 + 0.738150i −0.967621 0.252407i \(-0.918778\pi\)
−0.137099 + 0.990557i \(0.543778\pi\)
\(684\) 21.3182 + 3.00567i 0.815121 + 0.114925i
\(685\) 11.8197 + 59.4215i 0.451606 + 2.27038i
\(686\) 38.7581 + 0.908489i 1.47979 + 0.0346863i
\(687\) 4.55392 + 14.0530i 0.173743 + 0.536154i
\(688\) −6.09116 + 9.89289i −0.232223 + 0.377163i
\(689\) −43.2147 + 11.5793i −1.64635 + 0.441138i
\(690\) −3.18532 + 13.3834i −0.121263 + 0.509496i
\(691\) −1.85937 2.12021i −0.0707338 0.0806565i 0.715391 0.698725i \(-0.246249\pi\)
−0.786124 + 0.618068i \(0.787915\pi\)
\(692\) 47.4880 + 5.35646i 1.80522 + 0.203622i
\(693\) 7.66646 1.30498i 0.291225 0.0495720i
\(694\) −5.60353 12.0678i −0.212707 0.458087i
\(695\) 20.3230 26.4854i 0.770893 1.00465i
\(696\) −6.03665 + 20.9513i −0.228818 + 0.794155i
\(697\) −0.480780 0.626565i −0.0182109 0.0237328i
\(698\) 11.5909 + 6.05771i 0.438722 + 0.229288i
\(699\) 23.1135 + 3.36979i 0.874234 + 0.127457i
\(700\) −54.0098 + 84.1756i −2.04138 + 3.18154i
\(701\) −23.5394 15.7285i −0.889071 0.594058i 0.0249664 0.999688i \(-0.492052\pi\)
−0.914037 + 0.405630i \(0.867052\pi\)
\(702\) −35.0071 34.9796i −1.32126 1.32022i
\(703\) 8.56812 0.323153
\(704\) −0.858025 4.54384i −0.0323380 0.171252i
\(705\) 40.2361 2.07708i 1.51538 0.0782274i
\(706\) 12.3585 1.33323i 0.465117 0.0501767i
\(707\) 20.3244 10.0229i 0.764376 0.376949i
\(708\) −29.8429 17.0431i −1.12156 0.640518i
\(709\) 15.9903 + 47.1060i 0.600529 + 1.76910i 0.638268 + 0.769814i \(0.279651\pi\)
−0.0377387 + 0.999288i \(0.512015\pi\)
\(710\) −0.391101 9.30332i −0.0146778 0.349147i
\(711\) −7.41985 + 1.76906i −0.278266 + 0.0663449i
\(712\) 1.14189 16.2148i 0.0427943 0.607674i
\(713\) 1.25826 1.63980i 0.0471222 0.0614108i
\(714\) −16.8843 0.630228i −0.631878 0.0235857i
\(715\) −15.6101 + 1.02314i −0.583784 + 0.0382633i
\(716\) −27.6020 20.3764i −1.03153 0.761501i
\(717\) 5.95607 21.0555i 0.222433 0.786331i
\(718\) −3.88903 4.07573i −0.145137 0.152105i
\(719\) 13.3559 + 13.3559i 0.498090 + 0.498090i 0.910843 0.412753i \(-0.135433\pi\)
−0.412753 + 0.910843i \(0.635433\pi\)
\(720\) 15.0710 45.8097i 0.561665 1.70723i
\(721\) 22.9761 22.9761i 0.855676 0.855676i
\(722\) −8.65972 0.202984i −0.322281 0.00755427i
\(723\) 11.4226 11.1100i 0.424812 0.413185i
\(724\) −8.67605 + 34.9653i −0.322443 + 1.29947i
\(725\) 3.24573 + 49.5202i 0.120543 + 1.83914i
\(726\) 7.69850 24.9660i 0.285718 0.926575i
\(727\) −31.1810 23.9260i −1.15644 0.887366i −0.161403 0.986889i \(-0.551602\pi\)
−0.995035 + 0.0995227i \(0.968268\pi\)
\(728\) 84.7471 10.7387i 3.14094 0.398001i
\(729\) −26.9065 2.24488i −0.996538 0.0831436i
\(730\) −54.1210 49.7542i −2.00311 1.84149i
\(731\) −4.23013 + 1.43593i −0.156457 + 0.0531099i
\(732\) −41.5996 + 5.67594i −1.53757 + 0.209789i
\(733\) −5.62904 11.4146i −0.207913 0.421606i 0.767790 0.640701i \(-0.221356\pi\)
−0.975704 + 0.219095i \(0.929690\pi\)
\(734\) 17.1306 + 13.7944i 0.632303 + 0.509162i
\(735\) −76.5872 + 49.6511i −2.82496 + 1.83141i
\(736\) 6.33742 + 4.72615i 0.233600 + 0.174208i
\(737\) 8.67165i 0.319424i
\(738\) 2.17567 + 0.111453i 0.0800874 + 0.00410264i
\(739\) 24.1145 36.0899i 0.887065 1.32759i −0.0571870 0.998363i \(-0.518213\pi\)
0.944252 0.329223i \(-0.106787\pi\)
\(740\) 3.39395 18.8902i 0.124764 0.694416i
\(741\) −32.8484 25.9373i −1.20672 0.952832i
\(742\) −12.6049 40.2045i −0.462741 1.47595i
\(743\) 23.6280 18.1304i 0.866827 0.665140i −0.0764763 0.997071i \(-0.524367\pi\)
0.943303 + 0.331932i \(0.107700\pi\)
\(744\) −4.87846 + 5.35700i −0.178853 + 0.196397i
\(745\) 6.12309 + 4.69842i 0.224333 + 0.172137i
\(746\) 3.30112 + 1.20757i 0.120863 + 0.0442122i
\(747\) −22.9391 8.50354i −0.839299 0.311128i
\(748\) 0.860268 1.55609i 0.0314545 0.0568963i
\(749\) 9.56870 8.39153i 0.349633 0.306620i
\(750\) −1.70354 60.5203i −0.0622046 2.20989i
\(751\) 13.8021 + 51.5100i 0.503644 + 1.87963i 0.474902 + 0.880039i \(0.342484\pi\)
0.0287425 + 0.999587i \(0.490850\pi\)
\(752\) 8.05941 21.7046i 0.293896 0.791487i
\(753\) −19.3398 17.4411i −0.704781 0.635588i
\(754\) 30.6668 29.2621i 1.11682 1.06566i
\(755\) −17.3081 + 3.44280i −0.629907 + 0.125296i
\(756\) 31.5290 34.3234i 1.14670 1.24833i
\(757\) 7.36024 + 11.0154i 0.267512 + 0.400360i 0.940769 0.339048i \(-0.110105\pi\)
−0.673257 + 0.739409i \(0.735105\pi\)
\(758\) −6.83241 4.80061i −0.248164 0.174366i
\(759\) −0.601360 1.26332i −0.0218280 0.0458557i
\(760\) 8.15114 39.9631i 0.295673 1.44961i
\(761\) 18.8959 + 24.6256i 0.684977 + 0.892679i 0.998377 0.0569419i \(-0.0181350\pi\)
−0.313401 + 0.949621i \(0.601468\pi\)
\(762\) 4.61726 + 6.50616i 0.167266 + 0.235693i
\(763\) −10.0352 29.5628i −0.363300 1.07025i
\(764\) 5.05381 15.8495i 0.182840 0.573414i
\(765\) 15.6981 9.87040i 0.567565 0.356865i
\(766\) 11.3529 8.29609i 0.410198 0.299750i
\(767\) 33.4057 + 57.8603i 1.20621 + 2.08921i
\(768\) −20.7438 18.3765i −0.748528 0.663104i
\(769\) 25.9802 44.9990i 0.936868 1.62270i 0.165601 0.986193i \(-0.447044\pi\)
0.771268 0.636511i \(-0.219623\pi\)
\(770\) −1.58019 14.6477i −0.0569461 0.527867i
\(771\) 39.0825 21.8471i 1.40752 0.786802i
\(772\) −28.2317 + 6.16298i −1.01608 + 0.221810i