Properties

Label 189.2.bd.a.47.18
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.18
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.66985 + 0.294440i) q^{2} +(0.685602 - 1.59058i) q^{3} +(0.822331 + 0.299304i) q^{4} +(1.39543 + 0.507895i) q^{5} +(1.61319 - 2.45417i) q^{6} +(-0.356869 + 2.62157i) q^{7} +(-1.65184 - 0.953692i) q^{8} +(-2.05990 - 2.18101i) q^{9} +O(q^{10})\) \(q+(1.66985 + 0.294440i) q^{2} +(0.685602 - 1.59058i) q^{3} +(0.822331 + 0.299304i) q^{4} +(1.39543 + 0.507895i) q^{5} +(1.61319 - 2.45417i) q^{6} +(-0.356869 + 2.62157i) q^{7} +(-1.65184 - 0.953692i) q^{8} +(-2.05990 - 2.18101i) q^{9} +(2.18062 + 1.25898i) q^{10} +(-0.0445037 - 0.122273i) q^{11} +(1.03986 - 1.10278i) q^{12} +(0.311287 - 0.855253i) q^{13} +(-1.36782 + 4.27257i) q^{14} +(1.76456 - 1.87133i) q^{15} +(-3.81827 - 3.20391i) q^{16} +(-2.81624 + 4.87788i) q^{17} +(-2.79755 - 4.24849i) q^{18} +(-0.0831162 + 0.0479872i) q^{19} +(0.995491 + 0.835316i) q^{20} +(3.92516 + 2.36499i) q^{21} +(-0.0383126 - 0.217282i) q^{22} +(6.39659 - 1.12789i) q^{23} +(-2.64943 + 1.97354i) q^{24} +(-2.14095 - 1.79647i) q^{25} +(0.771624 - 1.33649i) q^{26} +(-4.88135 + 1.78113i) q^{27} +(-1.07811 + 2.04899i) q^{28} +(0.238914 + 0.656410i) q^{29} +(3.49755 - 2.60529i) q^{30} +(-3.11204 + 8.55026i) q^{31} +(-2.98051 - 3.55203i) q^{32} +(-0.224997 - 0.0130438i) q^{33} +(-6.13896 + 7.31613i) q^{34} +(-1.82947 + 3.47697i) q^{35} +(-1.04113 - 2.41005i) q^{36} -3.45015 q^{37} +(-0.152921 + 0.0556588i) q^{38} +(-1.14693 - 1.08149i) q^{39} +(-1.82066 - 2.16977i) q^{40} +(2.04536 + 0.744450i) q^{41} +(5.85809 + 5.10490i) q^{42} +(1.37972 - 7.82480i) q^{43} -0.113869i q^{44} +(-1.76672 - 4.08966i) q^{45} +11.0135 q^{46} +(11.8044 - 4.29647i) q^{47} +(-7.71390 + 3.87667i) q^{48} +(-6.74529 - 1.87112i) q^{49} +(-3.04613 - 3.63023i) q^{50} +(5.82784 + 7.82375i) q^{51} +(0.511962 - 0.610132i) q^{52} +(-1.26661 + 0.731275i) q^{53} +(-8.67558 + 1.53696i) q^{54} -0.193227i q^{55} +(3.08967 - 3.99009i) q^{56} +(0.0193428 + 0.165103i) q^{57} +(0.205677 + 1.16645i) q^{58} +(4.86491 - 4.08214i) q^{59} +(2.01115 - 1.01071i) q^{60} +(-2.67073 - 7.33778i) q^{61} +(-7.71419 + 13.3614i) q^{62} +(6.45280 - 4.62184i) q^{63} +(1.05325 + 1.82428i) q^{64} +(0.868757 - 1.03534i) q^{65} +(-0.371871 - 0.0880294i) q^{66} +(-2.49984 - 14.1773i) q^{67} +(-3.77586 + 3.16832i) q^{68} +(2.59151 - 10.9476i) q^{69} +(-4.07871 + 5.26736i) q^{70} +(2.38823 - 1.37884i) q^{71} +(1.32262 + 5.56720i) q^{72} +8.02256i q^{73} +(-5.76125 - 1.01586i) q^{74} +(-4.32528 + 2.17370i) q^{75} +(-0.0827118 + 0.0145843i) q^{76} +(0.336429 - 0.0730343i) q^{77} +(-1.59677 - 2.14363i) q^{78} +(0.0703241 - 0.398828i) q^{79} +(-3.70088 - 6.41012i) q^{80} +(-0.513631 + 8.98533i) q^{81} +(3.19626 + 1.84536i) q^{82} +(4.54412 - 1.65393i) q^{83} +(2.51993 + 3.11962i) q^{84} +(-6.40732 + 5.37638i) q^{85} +(4.60787 - 12.6600i) q^{86} +(1.20787 + 0.0700244i) q^{87} +(-0.0430976 + 0.244419i) q^{88} +(7.98594 + 13.8321i) q^{89} +(-1.74600 - 7.34933i) q^{90} +(2.13102 + 1.12127i) q^{91} +(5.59770 + 0.987026i) q^{92} +(11.4663 + 10.8120i) q^{93} +(20.9768 - 3.69877i) q^{94} +(-0.140355 + 0.0247484i) q^{95} +(-7.69325 + 2.30546i) q^{96} +(-10.2887 - 1.81418i) q^{97} +(-10.7127 - 5.11057i) q^{98} +(-0.175006 + 0.348933i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.66985 + 0.294440i 1.18076 + 0.208201i 0.729367 0.684122i \(-0.239815\pi\)
0.451398 + 0.892323i \(0.350926\pi\)
\(3\) 0.685602 1.59058i 0.395833 0.918323i
\(4\) 0.822331 + 0.299304i 0.411166 + 0.149652i
\(5\) 1.39543 + 0.507895i 0.624055 + 0.227138i 0.634642 0.772806i \(-0.281148\pi\)
−0.0105866 + 0.999944i \(0.503370\pi\)
\(6\) 1.61319 2.45417i 0.658581 1.00191i
\(7\) −0.356869 + 2.62157i −0.134884 + 0.990861i
\(8\) −1.65184 0.953692i −0.584015 0.337181i
\(9\) −2.05990 2.18101i −0.686633 0.727004i
\(10\) 2.18062 + 1.25898i 0.689572 + 0.398125i
\(11\) −0.0445037 0.122273i −0.0134184 0.0368667i 0.932803 0.360388i \(-0.117356\pi\)
−0.946221 + 0.323521i \(0.895133\pi\)
\(12\) 1.03986 1.10278i 0.300182 0.318346i
\(13\) 0.311287 0.855253i 0.0863354 0.237205i −0.889010 0.457887i \(-0.848606\pi\)
0.975346 + 0.220683i \(0.0708285\pi\)
\(14\) −1.36782 + 4.27257i −0.365564 + 1.14189i
\(15\) 1.76456 1.87133i 0.455607 0.483176i
\(16\) −3.81827 3.20391i −0.954568 0.800978i
\(17\) −2.81624 + 4.87788i −0.683040 + 1.18306i 0.291009 + 0.956720i \(0.406009\pi\)
−0.974049 + 0.226339i \(0.927324\pi\)
\(18\) −2.79755 4.24849i −0.659389 1.00138i
\(19\) −0.0831162 + 0.0479872i −0.0190682 + 0.0110090i −0.509504 0.860468i \(-0.670171\pi\)
0.490436 + 0.871477i \(0.336838\pi\)
\(20\) 0.995491 + 0.835316i 0.222598 + 0.186782i
\(21\) 3.92516 + 2.36499i 0.856539 + 0.516082i
\(22\) −0.0383126 0.217282i −0.00816828 0.0463246i
\(23\) 6.39659 1.12789i 1.33378 0.235182i 0.539117 0.842231i \(-0.318758\pi\)
0.794664 + 0.607049i \(0.207647\pi\)
\(24\) −2.64943 + 1.97354i −0.540813 + 0.402847i
\(25\) −2.14095 1.79647i −0.428191 0.359295i
\(26\) 0.771624 1.33649i 0.151328 0.262108i
\(27\) −4.88135 + 1.78113i −0.939416 + 0.342779i
\(28\) −1.07811 + 2.04899i −0.203744 + 0.387223i
\(29\) 0.238914 + 0.656410i 0.0443651 + 0.121892i 0.959897 0.280354i \(-0.0904518\pi\)
−0.915532 + 0.402246i \(0.868230\pi\)
\(30\) 3.49755 2.60529i 0.638562 0.475659i
\(31\) −3.11204 + 8.55026i −0.558939 + 1.53567i 0.262242 + 0.965002i \(0.415538\pi\)
−0.821180 + 0.570669i \(0.806684\pi\)
\(32\) −2.98051 3.55203i −0.526885 0.627917i
\(33\) −0.224997 0.0130438i −0.0391669 0.00227064i
\(34\) −6.13896 + 7.31613i −1.05282 + 1.25471i
\(35\) −1.82947 + 3.47697i −0.309237 + 0.587715i
\(36\) −1.04113 2.41005i −0.173522 0.401675i
\(37\) −3.45015 −0.567202 −0.283601 0.958942i \(-0.591529\pi\)
−0.283601 + 0.958942i \(0.591529\pi\)
\(38\) −0.152921 + 0.0556588i −0.0248071 + 0.00902905i
\(39\) −1.14693 1.08149i −0.183656 0.173177i
\(40\) −1.82066 2.16977i −0.287871 0.343071i
\(41\) 2.04536 + 0.744450i 0.319432 + 0.116264i 0.496760 0.867888i \(-0.334523\pi\)
−0.177328 + 0.984152i \(0.556745\pi\)
\(42\) 5.85809 + 5.10490i 0.903923 + 0.787704i
\(43\) 1.37972 7.82480i 0.210406 1.19327i −0.678297 0.734788i \(-0.737282\pi\)
0.888703 0.458483i \(-0.151607\pi\)
\(44\) 0.113869i 0.0171664i
\(45\) −1.76672 4.08966i −0.263367 0.609651i
\(46\) 11.0135 1.62385
\(47\) 11.8044 4.29647i 1.72186 0.626704i 0.723857 0.689950i \(-0.242367\pi\)
0.997998 + 0.0632455i \(0.0201451\pi\)
\(48\) −7.71390 + 3.87667i −1.11341 + 0.559549i
\(49\) −6.74529 1.87112i −0.963613 0.267302i
\(50\) −3.04613 3.63023i −0.430787 0.513392i
\(51\) 5.82784 + 7.82375i 0.816061 + 1.09554i
\(52\) 0.511962 0.610132i 0.0709963 0.0846101i
\(53\) −1.26661 + 0.731275i −0.173982 + 0.100448i −0.584462 0.811421i \(-0.698694\pi\)
0.410480 + 0.911869i \(0.365361\pi\)
\(54\) −8.67558 + 1.53696i −1.18060 + 0.209154i
\(55\) 0.193227i 0.0260547i
\(56\) 3.08967 3.99009i 0.412874 0.533198i
\(57\) 0.0193428 + 0.165103i 0.00256202 + 0.0218685i
\(58\) 0.205677 + 1.16645i 0.0270068 + 0.153163i
\(59\) 4.86491 4.08214i 0.633357 0.531450i −0.268613 0.963248i \(-0.586565\pi\)
0.901970 + 0.431798i \(0.142121\pi\)
\(60\) 2.01115 1.01071i 0.259638 0.130483i
\(61\) −2.67073 7.33778i −0.341952 0.939506i −0.984828 0.173536i \(-0.944481\pi\)
0.642875 0.765971i \(-0.277741\pi\)
\(62\) −7.71419 + 13.3614i −0.979703 + 1.69690i
\(63\) 6.45280 4.62184i 0.812976 0.582297i
\(64\) 1.05325 + 1.82428i 0.131656 + 0.228035i
\(65\) 0.868757 1.03534i 0.107756 0.128419i
\(66\) −0.371871 0.0880294i −0.0457742 0.0108357i
\(67\) −2.49984 14.1773i −0.305404 1.73203i −0.621596 0.783338i \(-0.713515\pi\)
0.316192 0.948695i \(-0.397596\pi\)
\(68\) −3.77586 + 3.16832i −0.457890 + 0.384215i
\(69\) 2.59151 10.9476i 0.311982 1.31793i
\(70\) −4.07871 + 5.26736i −0.487499 + 0.629570i
\(71\) 2.38823 1.37884i 0.283431 0.163639i −0.351545 0.936171i \(-0.614344\pi\)
0.634975 + 0.772532i \(0.281010\pi\)
\(72\) 1.32262 + 5.56720i 0.155872 + 0.656101i
\(73\) 8.02256i 0.938969i 0.882941 + 0.469485i \(0.155560\pi\)
−0.882941 + 0.469485i \(0.844440\pi\)
\(74\) −5.76125 1.01586i −0.669732 0.118092i
\(75\) −4.32528 + 2.17370i −0.499441 + 0.250997i
\(76\) −0.0827118 + 0.0145843i −0.00948770 + 0.00167294i
\(77\) 0.336429 0.0730343i 0.0383397 0.00832303i
\(78\) −1.59677 2.14363i −0.180799 0.242719i
\(79\) 0.0703241 0.398828i 0.00791207 0.0448716i −0.980596 0.196039i \(-0.937192\pi\)
0.988508 + 0.151167i \(0.0483032\pi\)
\(80\) −3.70088 6.41012i −0.413771 0.716673i
\(81\) −0.513631 + 8.98533i −0.0570701 + 0.998370i
\(82\) 3.19626 + 1.84536i 0.352968 + 0.203786i
\(83\) 4.54412 1.65393i 0.498782 0.181542i −0.0803638 0.996766i \(-0.525608\pi\)
0.579146 + 0.815224i \(0.303386\pi\)
\(84\) 2.51993 + 3.11962i 0.274947 + 0.340378i
\(85\) −6.40732 + 5.37638i −0.694972 + 0.583150i
\(86\) 4.60787 12.6600i 0.496880 1.36517i
\(87\) 1.20787 + 0.0700244i 0.129498 + 0.00750740i
\(88\) −0.0430976 + 0.244419i −0.00459422 + 0.0260551i
\(89\) 7.98594 + 13.8321i 0.846508 + 1.46619i 0.884305 + 0.466909i \(0.154632\pi\)
−0.0377975 + 0.999285i \(0.512034\pi\)
\(90\) −1.74600 7.34933i −0.184045 0.774688i
\(91\) 2.13102 + 1.12127i 0.223392 + 0.117541i
\(92\) 5.59770 + 0.987026i 0.583601 + 0.102905i
\(93\) 11.4663 + 10.8120i 1.18900 + 1.12115i
\(94\) 20.9768 3.69877i 2.16359 0.381499i
\(95\) −0.140355 + 0.0247484i −0.0144001 + 0.00253913i
\(96\) −7.69325 + 2.30546i −0.785189 + 0.235300i
\(97\) −10.2887 1.81418i −1.04466 0.184202i −0.375118 0.926977i \(-0.622398\pi\)
−0.669541 + 0.742775i \(0.733509\pi\)
\(98\) −10.7127 5.11057i −1.08215 0.516246i
\(99\) −0.175006 + 0.348933i −0.0175887 + 0.0350691i
\(100\) −1.22288 2.11809i −0.122288 0.211809i
\(101\) 0.741078 4.20286i 0.0737400 0.418200i −0.925483 0.378789i \(-0.876341\pi\)
0.999223 0.0394113i \(-0.0125482\pi\)
\(102\) 7.42801 + 14.7805i 0.735483 + 1.46348i
\(103\) 1.38685 3.81033i 0.136650 0.375443i −0.852426 0.522848i \(-0.824870\pi\)
0.989076 + 0.147404i \(0.0470919\pi\)
\(104\) −1.32985 + 1.11587i −0.130402 + 0.109420i
\(105\) 4.27612 + 5.29374i 0.417306 + 0.516616i
\(106\) −2.33036 + 0.848183i −0.226345 + 0.0823828i
\(107\) 8.99730 + 5.19460i 0.869802 + 0.502181i 0.867283 0.497816i \(-0.165865\pi\)
0.00251969 + 0.999997i \(0.499198\pi\)
\(108\) −4.54719 + 0.00367129i −0.437553 + 0.000353270i
\(109\) 2.59277 + 4.49081i 0.248342 + 0.430142i 0.963066 0.269265i \(-0.0867808\pi\)
−0.714724 + 0.699407i \(0.753447\pi\)
\(110\) 0.0568937 0.322660i 0.00542460 0.0307644i
\(111\) −2.36543 + 5.48775i −0.224517 + 0.520874i
\(112\) 9.76191 8.86651i 0.922414 0.837806i
\(113\) −15.1938 + 2.67908i −1.42931 + 0.252026i −0.834132 0.551565i \(-0.814031\pi\)
−0.595181 + 0.803592i \(0.702920\pi\)
\(114\) −0.0163133 + 0.281394i −0.00152788 + 0.0263549i
\(115\) 9.49885 + 1.67490i 0.885772 + 0.156186i
\(116\) 0.611294i 0.0567572i
\(117\) −2.50654 + 1.08281i −0.231729 + 0.100106i
\(118\) 9.32564 5.38416i 0.858494 0.495652i
\(119\) −11.7827 9.12375i −1.08012 0.836373i
\(120\) −4.69945 + 1.40830i −0.428999 + 0.128560i
\(121\) 8.41352 7.05978i 0.764865 0.641798i
\(122\) −2.29920 13.0394i −0.208159 1.18053i
\(123\) 2.58641 2.74292i 0.233209 0.247320i
\(124\) −5.11825 + 6.09970i −0.459633 + 0.547769i
\(125\) −5.78760 10.0244i −0.517658 0.896611i
\(126\) 12.1361 5.81783i 1.08117 0.518294i
\(127\) −0.565054 + 0.978702i −0.0501404 + 0.0868458i −0.890006 0.455948i \(-0.849300\pi\)
0.839866 + 0.542794i \(0.182634\pi\)
\(128\) 4.39342 + 12.0708i 0.388327 + 1.06692i
\(129\) −11.5000 7.55926i −1.01252 0.665556i
\(130\) 1.75555 1.47308i 0.153971 0.129197i
\(131\) 1.13648 + 6.44529i 0.0992945 + 0.563127i 0.993346 + 0.115164i \(0.0367393\pi\)
−0.894052 + 0.447963i \(0.852150\pi\)
\(132\) −0.181118 0.0780688i −0.0157643 0.00679502i
\(133\) −0.0961403 0.235020i −0.00833642 0.0203788i
\(134\) 24.4101i 2.10871i
\(135\) −7.71621 + 0.00622987i −0.664105 + 0.000536182i
\(136\) 9.30399 5.37166i 0.797811 0.460616i
\(137\) −2.98891 + 3.56205i −0.255360 + 0.304326i −0.878460 0.477816i \(-0.841429\pi\)
0.623100 + 0.782142i \(0.285873\pi\)
\(138\) 7.55086 17.5178i 0.642772 1.49122i
\(139\) 8.26472 + 9.84951i 0.701005 + 0.835425i 0.992640 0.121105i \(-0.0386437\pi\)
−0.291635 + 0.956530i \(0.594199\pi\)
\(140\) −2.54510 + 2.31165i −0.215100 + 0.195370i
\(141\) 1.25927 21.7216i 0.106050 1.82929i
\(142\) 4.39398 1.59928i 0.368735 0.134208i
\(143\) −0.118428 −0.00990342
\(144\) 0.877486 + 14.9274i 0.0731239 + 1.24395i
\(145\) 1.03732i 0.0861445i
\(146\) −2.36216 + 13.3965i −0.195494 + 1.10870i
\(147\) −7.60075 + 9.44609i −0.626899 + 0.779100i
\(148\) −2.83717 1.03265i −0.233214 0.0848829i
\(149\) −13.1499 15.6715i −1.07728 1.28386i −0.956676 0.291156i \(-0.905960\pi\)
−0.120608 0.992700i \(-0.538484\pi\)
\(150\) −7.86261 + 2.35622i −0.641980 + 0.192384i
\(151\) 12.8057 4.66088i 1.04211 0.379297i 0.236430 0.971649i \(-0.424023\pi\)
0.805679 + 0.592352i \(0.201800\pi\)
\(152\) 0.183060 0.0148481
\(153\) 16.4399 3.90567i 1.32909 0.315755i
\(154\) 0.583292 0.0228982i 0.0470030 0.00184519i
\(155\) −8.68526 + 10.3507i −0.697617 + 0.831388i
\(156\) −0.619463 1.23262i −0.0495967 0.0986889i
\(157\) −2.56097 3.05204i −0.204387 0.243579i 0.654107 0.756402i \(-0.273044\pi\)
−0.858495 + 0.512822i \(0.828600\pi\)
\(158\) 0.234862 0.645277i 0.0186846 0.0513355i
\(159\) 0.294765 + 2.51600i 0.0233764 + 0.199532i
\(160\) −2.35503 6.47040i −0.186182 0.511530i
\(161\) 0.674106 + 17.1716i 0.0531270 + 1.35332i
\(162\) −3.50333 + 14.8530i −0.275248 + 1.16696i
\(163\) −12.3022 + 21.3081i −0.963584 + 1.66898i −0.250212 + 0.968191i \(0.580500\pi\)
−0.713372 + 0.700785i \(0.752833\pi\)
\(164\) 1.45915 + 1.22437i 0.113940 + 0.0956072i
\(165\) −0.307343 0.132477i −0.0239266 0.0103133i
\(166\) 8.07501 1.42384i 0.626742 0.110512i
\(167\) 3.18840 + 18.0823i 0.246726 + 1.39925i 0.816450 + 0.577417i \(0.195939\pi\)
−0.569724 + 0.821836i \(0.692950\pi\)
\(168\) −4.22827 7.64998i −0.326218 0.590209i
\(169\) 9.32402 + 7.82378i 0.717232 + 0.601829i
\(170\) −12.2823 + 7.09120i −0.942010 + 0.543870i
\(171\) 0.275872 + 0.0824288i 0.0210964 + 0.00630349i
\(172\) 3.47659 6.02162i 0.265087 0.459144i
\(173\) −2.48370 2.08407i −0.188832 0.158449i 0.543470 0.839428i \(-0.317110\pi\)
−0.732303 + 0.680979i \(0.761554\pi\)
\(174\) 1.99635 + 0.472577i 0.151343 + 0.0358260i
\(175\) 5.47363 4.97156i 0.413767 0.375815i
\(176\) −0.221824 + 0.609457i −0.0167206 + 0.0459396i
\(177\) −3.15759 10.5368i −0.237339 0.791992i
\(178\) 9.26264 + 25.4489i 0.694264 + 1.90747i
\(179\) −17.0391 9.83754i −1.27356 0.735292i −0.297907 0.954595i \(-0.596288\pi\)
−0.975657 + 0.219303i \(0.929622\pi\)
\(180\) −0.228776 3.89184i −0.0170520 0.290081i
\(181\) −14.9844 8.65126i −1.11378 0.643043i −0.173976 0.984750i \(-0.555662\pi\)
−0.939806 + 0.341707i \(0.888995\pi\)
\(182\) 3.22834 + 2.49982i 0.239301 + 0.185299i
\(183\) −13.5024 0.782779i −0.998126 0.0578647i
\(184\) −11.6418 4.23728i −0.858247 0.312376i
\(185\) −4.81445 1.75232i −0.353965 0.128833i
\(186\) 15.9635 + 21.4306i 1.17050 + 1.57137i
\(187\) 0.721766 + 0.127267i 0.0527807 + 0.00930667i
\(188\) 10.9931 0.801755
\(189\) −2.92736 13.4324i −0.212934 0.977067i
\(190\) −0.241660 −0.0175318
\(191\) −5.21186 0.918991i −0.377117 0.0664959i −0.0181229 0.999836i \(-0.505769\pi\)
−0.358994 + 0.933340i \(0.616880\pi\)
\(192\) 3.62377 0.424546i 0.261523 0.0306390i
\(193\) −16.6028 6.04294i −1.19510 0.434980i −0.333587 0.942719i \(-0.608259\pi\)
−0.861511 + 0.507739i \(0.830481\pi\)
\(194\) −16.6465 6.05881i −1.19515 0.434998i
\(195\) −1.05118 2.09166i −0.0752764 0.149787i
\(196\) −4.98683 3.55757i −0.356202 0.254112i
\(197\) 17.9168 + 10.3443i 1.27652 + 0.736997i 0.976206 0.216844i \(-0.0695763\pi\)
0.300311 + 0.953841i \(0.402910\pi\)
\(198\) −0.394974 + 0.531138i −0.0280696 + 0.0377464i
\(199\) −11.0639 6.38777i −0.784302 0.452817i 0.0536510 0.998560i \(-0.482914\pi\)
−0.837953 + 0.545743i \(0.816247\pi\)
\(200\) 1.82324 + 5.00931i 0.128922 + 0.354211i
\(201\) −24.2641 5.74379i −1.71145 0.405136i
\(202\) 2.47498 6.79996i 0.174139 0.478443i
\(203\) −1.80609 + 0.392077i −0.126762 + 0.0275184i
\(204\) 2.45073 + 8.17801i 0.171586 + 0.572575i
\(205\) 2.47605 + 2.07766i 0.172935 + 0.145110i
\(206\) 3.43775 5.95436i 0.239519 0.414860i
\(207\) −15.6363 11.6277i −1.08680 0.808181i
\(208\) −3.92873 + 2.26825i −0.272409 + 0.157275i
\(209\) 0.00956651 + 0.00802726i 0.000661729 + 0.000555257i
\(210\) 5.58180 + 10.0988i 0.385181 + 0.696885i
\(211\) 3.56749 + 20.2322i 0.245596 + 1.39284i 0.819104 + 0.573645i \(0.194471\pi\)
−0.573508 + 0.819200i \(0.694418\pi\)
\(212\) −1.26044 + 0.222250i −0.0865676 + 0.0152642i
\(213\) −0.555790 4.74401i −0.0380821 0.325054i
\(214\) 13.4947 + 11.3234i 0.922478 + 0.774051i
\(215\) 5.89948 10.2182i 0.402341 0.696876i
\(216\) 9.76188 + 1.71316i 0.664212 + 0.116566i
\(217\) −21.3045 11.2098i −1.44625 0.760968i
\(218\) 3.00727 + 8.26242i 0.203678 + 0.559601i
\(219\) 12.7605 + 5.50028i 0.862277 + 0.371675i
\(220\) 0.0578335 0.158896i 0.00389913 0.0107128i
\(221\) 3.29516 + 3.92702i 0.221657 + 0.264160i
\(222\) −5.56574 + 8.46726i −0.373548 + 0.568285i
\(223\) −12.6494 + 15.0750i −0.847070 + 1.00950i 0.152705 + 0.988272i \(0.451202\pi\)
−0.999775 + 0.0212263i \(0.993243\pi\)
\(224\) 10.3756 6.54602i 0.693247 0.437374i
\(225\) 0.492018 + 8.37001i 0.0328012 + 0.558000i
\(226\) −26.1603 −1.74015
\(227\) −0.299457 + 0.108994i −0.0198757 + 0.00723416i −0.351939 0.936023i \(-0.614478\pi\)
0.332063 + 0.943257i \(0.392255\pi\)
\(228\) −0.0335099 + 0.141559i −0.00221924 + 0.00937497i
\(229\) 5.56696 + 6.63444i 0.367875 + 0.438416i 0.917948 0.396700i \(-0.129845\pi\)
−0.550073 + 0.835116i \(0.685400\pi\)
\(230\) 15.3685 + 5.59369i 1.01337 + 0.368837i
\(231\) 0.114490 0.585191i 0.00753287 0.0385027i
\(232\) 0.231365 1.31214i 0.0151899 0.0861460i
\(233\) 7.34274i 0.481039i 0.970644 + 0.240520i \(0.0773178\pi\)
−0.970644 + 0.240520i \(0.922682\pi\)
\(234\) −4.50437 + 1.07012i −0.294460 + 0.0699558i
\(235\) 18.6544 1.21688
\(236\) 5.22237 1.90079i 0.339947 0.123731i
\(237\) −0.586153 0.385293i −0.0380748 0.0250275i
\(238\) −16.9890 18.7046i −1.10123 1.21244i
\(239\) −3.02456 3.60453i −0.195642 0.233157i 0.659301 0.751879i \(-0.270852\pi\)
−0.854943 + 0.518722i \(0.826408\pi\)
\(240\) −12.7331 + 1.49176i −0.821921 + 0.0962930i
\(241\) −4.26262 + 5.07999i −0.274579 + 0.327231i −0.885657 0.464339i \(-0.846292\pi\)
0.611078 + 0.791571i \(0.290736\pi\)
\(242\) 16.1280 9.31152i 1.03675 0.598567i
\(243\) 13.9398 + 6.97734i 0.894236 + 0.447596i
\(244\) 6.83345i 0.437467i
\(245\) −8.46225 6.03691i −0.540633 0.385684i
\(246\) 5.12656 3.81872i 0.326857 0.243473i
\(247\) 0.0151682 + 0.0860232i 0.000965130 + 0.00547352i
\(248\) 13.2949 11.1558i 0.844228 0.708391i
\(249\) 0.484758 8.36174i 0.0307203 0.529903i
\(250\) −6.71285 18.4434i −0.424558 1.16646i
\(251\) 7.34905 12.7289i 0.463868 0.803443i −0.535282 0.844674i \(-0.679795\pi\)
0.999150 + 0.0412308i \(0.0131279\pi\)
\(252\) 6.68967 1.86934i 0.421410 0.117757i
\(253\) −0.422583 0.731935i −0.0265675 0.0460163i
\(254\) −1.23173 + 1.46792i −0.0772854 + 0.0921052i
\(255\) 4.15870 + 13.8774i 0.260428 + 0.869038i
\(256\) 3.05066 + 17.3011i 0.190666 + 1.08132i
\(257\) 10.8180 9.07738i 0.674808 0.566231i −0.239676 0.970853i \(-0.577041\pi\)
0.914484 + 0.404621i \(0.132597\pi\)
\(258\) −16.9776 16.0089i −1.05698 0.996673i
\(259\) 1.23125 9.04483i 0.0765063 0.562018i
\(260\) 1.02429 0.591374i 0.0635237 0.0366754i
\(261\) 0.939500 1.87321i 0.0581536 0.115949i
\(262\) 11.0973i 0.685594i
\(263\) −15.4018 2.71576i −0.949718 0.167461i −0.322731 0.946491i \(-0.604601\pi\)
−0.626987 + 0.779030i \(0.715712\pi\)
\(264\) 0.359220 + 0.236124i 0.0221085 + 0.0145324i
\(265\) −2.13887 + 0.377141i −0.131390 + 0.0231676i
\(266\) −0.0913407 0.420757i −0.00560046 0.0257983i
\(267\) 27.4762 3.21900i 1.68152 0.197000i
\(268\) 2.18763 12.4067i 0.133631 0.757857i
\(269\) 2.15558 + 3.73358i 0.131428 + 0.227640i 0.924227 0.381843i \(-0.124710\pi\)
−0.792799 + 0.609483i \(0.791377\pi\)
\(270\) −12.8868 2.26156i −0.784264 0.137634i
\(271\) 16.1867 + 9.34540i 0.983272 + 0.567692i 0.903256 0.429101i \(-0.141170\pi\)
0.0800157 + 0.996794i \(0.474503\pi\)
\(272\) 26.3815 9.60207i 1.59961 0.582211i
\(273\) 3.24451 2.62081i 0.196367 0.158619i
\(274\) −6.03986 + 5.06804i −0.364881 + 0.306172i
\(275\) −0.124380 + 0.341731i −0.00750038 + 0.0206071i
\(276\) 5.40774 8.22689i 0.325508 0.495201i
\(277\) 1.63206 9.25587i 0.0980609 0.556131i −0.895705 0.444648i \(-0.853329\pi\)
0.993766 0.111483i \(-0.0355601\pi\)
\(278\) 10.9008 + 18.8807i 0.653786 + 1.13239i
\(279\) 25.0587 10.8253i 1.50023 0.648092i
\(280\) 6.33796 3.99866i 0.378765 0.238966i
\(281\) 27.0442 + 4.76862i 1.61332 + 0.284472i 0.906272 0.422694i \(-0.138916\pi\)
0.707048 + 0.707166i \(0.250027\pi\)
\(282\) 8.49852 35.9011i 0.506079 2.13788i
\(283\) −21.3585 + 3.76609i −1.26963 + 0.223871i −0.767573 0.640962i \(-0.778536\pi\)
−0.502060 + 0.864833i \(0.667424\pi\)
\(284\) 2.37661 0.419060i 0.141026 0.0248667i
\(285\) −0.0568635 + 0.240214i −0.00336830 + 0.0142291i
\(286\) −0.197757 0.0348699i −0.0116936 0.00206190i
\(287\) −2.68156 + 5.09639i −0.158287 + 0.300830i
\(288\) −1.60748 + 13.8174i −0.0947217 + 0.814196i
\(289\) −7.36246 12.7522i −0.433086 0.750127i
\(290\) −0.305428 + 1.73217i −0.0179353 + 0.101716i
\(291\) −9.93955 + 15.1212i −0.582667 + 0.886421i
\(292\) −2.40118 + 6.59720i −0.140519 + 0.386072i
\(293\) −7.22978 + 6.06651i −0.422368 + 0.354409i −0.829063 0.559155i \(-0.811126\pi\)
0.406695 + 0.913564i \(0.366681\pi\)
\(294\) −15.4734 + 13.5356i −0.902430 + 0.789414i
\(295\) 8.86194 3.22548i 0.515962 0.187795i
\(296\) 5.69911 + 3.29038i 0.331254 + 0.191250i
\(297\) 0.435022 + 0.517590i 0.0252425 + 0.0300336i
\(298\) −17.3441 30.0409i −1.00472 1.74022i
\(299\) 1.02654 5.82180i 0.0593664 0.336684i
\(300\) −4.20741 + 0.492924i −0.242915 + 0.0284590i
\(301\) 20.0209 + 6.40947i 1.15399 + 0.369436i
\(302\) 22.7559 4.01248i 1.30946 0.230892i
\(303\) −6.17691 4.06023i −0.354854 0.233254i
\(304\) 0.471107 + 0.0830689i 0.0270198 + 0.00476433i
\(305\) 11.5958i 0.663974i
\(306\) 28.6022 1.68134i 1.63508 0.0961156i
\(307\) 4.86656 2.80971i 0.277749 0.160358i −0.354655 0.934997i \(-0.615402\pi\)
0.632404 + 0.774639i \(0.282068\pi\)
\(308\) 0.298516 + 0.0406363i 0.0170095 + 0.00231547i
\(309\) −5.10982 4.81827i −0.290687 0.274102i
\(310\) −17.5508 + 14.7269i −0.996817 + 0.836429i
\(311\) 3.03101 + 17.1897i 0.171873 + 0.974740i 0.941692 + 0.336477i \(0.109236\pi\)
−0.769819 + 0.638263i \(0.779653\pi\)
\(312\) 0.863141 + 2.88027i 0.0488658 + 0.163063i
\(313\) −0.321001 + 0.382554i −0.0181440 + 0.0216232i −0.775040 0.631912i \(-0.782270\pi\)
0.756896 + 0.653535i \(0.226715\pi\)
\(314\) −3.37779 5.85051i −0.190620 0.330163i
\(315\) 11.3518 3.17211i 0.639603 0.178728i
\(316\) 0.177200 0.306920i 0.00996830 0.0172656i
\(317\) −2.67158 7.34010i −0.150051 0.412261i 0.841780 0.539820i \(-0.181508\pi\)
−0.991831 + 0.127559i \(0.959286\pi\)
\(318\) −0.248598 + 4.28815i −0.0139407 + 0.240467i
\(319\) 0.0696286 0.0584253i 0.00389845 0.00327119i
\(320\) 0.543191 + 3.08059i 0.0303653 + 0.172210i
\(321\) 14.4310 10.7495i 0.805460 0.599980i
\(322\) −3.93037 + 28.8726i −0.219031 + 1.60901i
\(323\) 0.540574i 0.0300784i
\(324\) −3.11172 + 7.23519i −0.172873 + 0.401955i
\(325\) −2.20289 + 1.27184i −0.122194 + 0.0705490i
\(326\) −26.8169 + 31.9591i −1.48525 + 1.77005i
\(327\) 8.92061 1.04510i 0.493311 0.0577944i
\(328\) −2.66864 3.18036i −0.147351 0.175606i
\(329\) 7.05086 + 32.4795i 0.388727 + 1.79065i
\(330\) −0.474211 0.311710i −0.0261044 0.0171591i
\(331\) 29.7049 10.8117i 1.63273 0.594265i 0.646984 0.762503i \(-0.276030\pi\)
0.985746 + 0.168238i \(0.0538077\pi\)
\(332\) 4.23180 0.232250
\(333\) 7.10697 + 7.52483i 0.389459 + 0.412358i
\(334\) 31.1336i 1.70356i
\(335\) 3.71223 21.0531i 0.202821 1.15025i
\(336\) −7.41011 21.6060i −0.404255 1.17870i
\(337\) −6.59007 2.39859i −0.358984 0.130659i 0.156231 0.987721i \(-0.450066\pi\)
−0.515215 + 0.857061i \(0.672288\pi\)
\(338\) 13.2661 + 15.8099i 0.721581 + 0.859947i
\(339\) −6.15561 + 26.0038i −0.334327 + 1.41233i
\(340\) −6.87811 + 2.50343i −0.373018 + 0.135767i
\(341\) 1.18396 0.0641151
\(342\) 0.436395 + 0.218872i 0.0235975 + 0.0118352i
\(343\) 7.31245 17.0155i 0.394835 0.918752i
\(344\) −9.74154 + 11.6095i −0.525229 + 0.625943i
\(345\) 9.17650 13.9604i 0.494046 0.751601i
\(346\) −3.53378 4.21140i −0.189977 0.226406i
\(347\) 3.63535 9.98804i 0.195156 0.536186i −0.803060 0.595898i \(-0.796796\pi\)
0.998216 + 0.0597122i \(0.0190183\pi\)
\(348\) 0.972313 + 0.419105i 0.0521215 + 0.0224664i
\(349\) 2.52401 + 6.93467i 0.135107 + 0.371204i 0.988734 0.149680i \(-0.0478244\pi\)
−0.853627 + 0.520885i \(0.825602\pi\)
\(350\) 10.6040 6.69013i 0.566807 0.357602i
\(351\) 0.00381826 + 4.72923i 0.000203804 + 0.252428i
\(352\) −0.301674 + 0.522514i −0.0160793 + 0.0278501i
\(353\) −12.7574 10.7047i −0.679007 0.569754i 0.236709 0.971581i \(-0.423931\pi\)
−0.915716 + 0.401826i \(0.868376\pi\)
\(354\) −2.17027 18.5246i −0.115348 0.984570i
\(355\) 4.03291 0.711112i 0.214045 0.0377419i
\(356\) 2.42710 + 13.7648i 0.128636 + 0.729531i
\(357\) −22.5903 + 12.4861i −1.19561 + 0.660832i
\(358\) −25.5563 21.4443i −1.35069 1.13336i
\(359\) −15.0167 + 8.66990i −0.792552 + 0.457580i −0.840860 0.541253i \(-0.817950\pi\)
0.0483084 + 0.998832i \(0.484617\pi\)
\(360\) −0.981935 + 8.44039i −0.0517525 + 0.444848i
\(361\) −9.49539 + 16.4465i −0.499758 + 0.865606i
\(362\) −22.4745 18.8583i −1.18123 0.991173i
\(363\) −5.46083 18.2226i −0.286619 0.956438i
\(364\) 1.41680 + 1.55988i 0.0742606 + 0.0817600i
\(365\) −4.07462 + 11.1949i −0.213275 + 0.585969i
\(366\) −22.3165 5.28278i −1.16650 0.276135i
\(367\) −9.14036 25.1129i −0.477123 1.31088i −0.911924 0.410358i \(-0.865404\pi\)
0.434801 0.900526i \(-0.356819\pi\)
\(368\) −28.0376 16.1875i −1.46156 0.843833i
\(369\) −2.58958 5.99445i −0.134808 0.312059i
\(370\) −7.52347 4.34368i −0.391127 0.225817i
\(371\) −1.46508 3.58147i −0.0760631 0.185941i
\(372\) 6.19298 + 12.3230i 0.321091 + 0.638916i
\(373\) 17.3964 + 6.33178i 0.900752 + 0.327847i 0.750554 0.660809i \(-0.229787\pi\)
0.150198 + 0.988656i \(0.452009\pi\)
\(374\) 1.16777 + 0.425034i 0.0603840 + 0.0219780i
\(375\) −19.9126 + 2.33289i −1.02828 + 0.120470i
\(376\) −23.5966 4.16072i −1.21690 0.214573i
\(377\) 0.635767 0.0327437
\(378\) −0.933213 23.2922i −0.0479993 1.19802i
\(379\) 35.2309 1.80969 0.904846 0.425739i \(-0.139986\pi\)
0.904846 + 0.425739i \(0.139986\pi\)
\(380\) −0.122826 0.0216575i −0.00630083 0.00111101i
\(381\) 1.16930 + 1.56977i 0.0599052 + 0.0804215i
\(382\) −8.43245 3.06916i −0.431442 0.157032i
\(383\) −15.7009 5.71465i −0.802277 0.292005i −0.0918471 0.995773i \(-0.529277\pi\)
−0.710430 + 0.703768i \(0.751499\pi\)
\(384\) 22.2118 + 1.28769i 1.13349 + 0.0657122i
\(385\) 0.506557 + 0.0689565i 0.0258166 + 0.00351435i
\(386\) −25.9450 14.9794i −1.32057 0.762429i
\(387\) −19.9081 + 13.1091i −1.01198 + 0.666373i
\(388\) −7.91773 4.57130i −0.401962 0.232073i
\(389\) 3.24562 + 8.91727i 0.164560 + 0.452124i 0.994375 0.105914i \(-0.0337767\pi\)
−0.829816 + 0.558037i \(0.811555\pi\)
\(390\) −1.13944 3.80228i −0.0576980 0.192536i
\(391\) −12.5126 + 34.3782i −0.632792 + 1.73858i
\(392\) 9.35769 + 9.52372i 0.472635 + 0.481021i
\(393\) 11.0309 + 2.61124i 0.556436 + 0.131720i
\(394\) 26.8726 + 22.5488i 1.35382 + 1.13599i
\(395\) 0.300695 0.520819i 0.0151296 0.0262052i
\(396\) −0.248350 + 0.234559i −0.0124800 + 0.0117870i
\(397\) −32.9549 + 19.0265i −1.65396 + 0.954913i −0.678536 + 0.734567i \(0.737385\pi\)
−0.975422 + 0.220346i \(0.929281\pi\)
\(398\) −16.5943 13.9243i −0.831799 0.697962i
\(399\) −0.439733 0.00821154i −0.0220142 0.000411091i
\(400\) 2.41901 + 13.7189i 0.120950 + 0.685943i
\(401\) 5.53925 0.976719i 0.276617 0.0487750i −0.0336187 0.999435i \(-0.510703\pi\)
0.310236 + 0.950660i \(0.399592\pi\)
\(402\) −38.8262 16.7356i −1.93648 0.834696i
\(403\) 6.34390 + 5.32316i 0.316012 + 0.265166i
\(404\) 1.86734 3.23434i 0.0929039 0.160914i
\(405\) −5.28034 + 12.2775i −0.262382 + 0.610075i
\(406\) −3.13134 + 0.122927i −0.155406 + 0.00610076i
\(407\) 0.153545 + 0.421860i 0.00761092 + 0.0209108i
\(408\) −2.16523 18.4816i −0.107195 0.914974i
\(409\) −0.754389 + 2.07267i −0.0373022 + 0.102487i −0.956945 0.290268i \(-0.906256\pi\)
0.919643 + 0.392755i \(0.128478\pi\)
\(410\) 3.52290 + 4.19843i 0.173984 + 0.207346i
\(411\) 3.61652 + 7.19626i 0.178390 + 0.354965i
\(412\) 2.28090 2.71827i 0.112372 0.133919i
\(413\) 8.96550 + 14.2105i 0.441164 + 0.699253i
\(414\) −22.6866 24.0205i −1.11499 1.18054i
\(415\) 7.18103 0.352503
\(416\) −3.96568 + 1.44339i −0.194434 + 0.0707680i
\(417\) 21.3328 6.39287i 1.04467 0.313060i
\(418\) 0.0136111 + 0.0162211i 0.000665742 + 0.000793400i
\(419\) 11.5894 + 4.21819i 0.566178 + 0.206072i 0.609220 0.793001i \(-0.291483\pi\)
−0.0430419 + 0.999073i \(0.513705\pi\)
\(420\) 1.93195 + 5.63307i 0.0942693 + 0.274865i
\(421\) 3.05146 17.3057i 0.148719 0.843427i −0.815587 0.578635i \(-0.803586\pi\)
0.964306 0.264792i \(-0.0853034\pi\)
\(422\) 34.8353i 1.69576i
\(423\) −33.6866 16.8954i −1.63790 0.821480i
\(424\) 2.78965 0.135477
\(425\) 14.7924 5.38401i 0.717538 0.261163i
\(426\) 0.468741 8.08545i 0.0227106 0.391742i
\(427\) 20.1896 4.38290i 0.977045 0.212103i
\(428\) 5.84400 + 6.96461i 0.282480 + 0.336647i
\(429\) −0.0811943 + 0.188369i −0.00392010 + 0.00909454i
\(430\) 12.8599 15.3259i 0.620161 0.739079i
\(431\) 30.8867 17.8324i 1.48776 0.858957i 0.487856 0.872924i \(-0.337779\pi\)
0.999902 + 0.0139669i \(0.00444595\pi\)
\(432\) 24.3449 + 8.83857i 1.17130 + 0.425246i
\(433\) 7.92231i 0.380722i −0.981714 0.190361i \(-0.939034\pi\)
0.981714 0.190361i \(-0.0609659\pi\)
\(434\) −32.2748 24.9916i −1.54924 1.19963i
\(435\) 1.64994 + 0.711187i 0.0791084 + 0.0340988i
\(436\) 0.787999 + 4.46896i 0.0377383 + 0.214025i
\(437\) −0.477536 + 0.400700i −0.0228437 + 0.0191681i
\(438\) 19.6887 + 12.9419i 0.940763 + 0.618387i
\(439\) 5.74325 + 15.7794i 0.274110 + 0.753111i 0.998001 + 0.0631970i \(0.0201297\pi\)
−0.723891 + 0.689914i \(0.757648\pi\)
\(440\) −0.184279 + 0.319180i −0.00878514 + 0.0152163i
\(441\) 9.81369 + 18.5659i 0.467318 + 0.884089i
\(442\) 4.34616 + 7.52778i 0.206726 + 0.358060i
\(443\) −11.1554 + 13.2945i −0.530011 + 0.631642i −0.962917 0.269797i \(-0.913044\pi\)
0.432907 + 0.901439i \(0.357488\pi\)
\(444\) −3.58768 + 3.80477i −0.170264 + 0.180566i
\(445\) 4.11859 + 23.3577i 0.195240 + 1.10726i
\(446\) −25.5614 + 21.4486i −1.21037 + 1.01562i
\(447\) −33.9424 + 10.1716i −1.60542 + 0.481101i
\(448\) −5.15834 + 2.11013i −0.243709 + 0.0996945i
\(449\) −6.63080 + 3.82829i −0.312927 + 0.180668i −0.648235 0.761440i \(-0.724493\pi\)
0.335309 + 0.942108i \(0.391159\pi\)
\(450\) −1.64287 + 14.1216i −0.0774456 + 0.665696i
\(451\) 0.283223i 0.0133365i
\(452\) −13.2962 2.34448i −0.625401 0.110275i
\(453\) 1.36608 23.5639i 0.0641841 1.10713i
\(454\) −0.532142 + 0.0938310i −0.0249747 + 0.00440371i
\(455\) 2.40420 + 2.64699i 0.112711 + 0.124093i
\(456\) 0.125506 0.291172i 0.00587737 0.0136354i
\(457\) 5.16588 29.2972i 0.241650 1.37046i −0.586496 0.809952i \(-0.699493\pi\)
0.828146 0.560512i \(-0.189396\pi\)
\(458\) 7.34256 + 12.7177i 0.343095 + 0.594258i
\(459\) 5.05894 28.8267i 0.236131 1.34552i
\(460\) 7.30989 + 4.22037i 0.340826 + 0.196776i
\(461\) −0.444066 + 0.161627i −0.0206822 + 0.00752772i −0.352341 0.935872i \(-0.614614\pi\)
0.331658 + 0.943400i \(0.392392\pi\)
\(462\) 0.363485 0.943473i 0.0169108 0.0438943i
\(463\) 1.97532 1.65749i 0.0918008 0.0770300i −0.595732 0.803183i \(-0.703138\pi\)
0.687533 + 0.726153i \(0.258694\pi\)
\(464\) 1.19084 3.27181i 0.0552834 0.151890i
\(465\) 10.5090 + 20.9111i 0.487343 + 0.969728i
\(466\) −2.16200 + 12.2613i −0.100153 + 0.567994i
\(467\) −2.65563 4.59968i −0.122888 0.212848i 0.798018 0.602634i \(-0.205882\pi\)
−0.920905 + 0.389786i \(0.872549\pi\)
\(468\) −2.38529 + 0.140216i −0.110260 + 0.00648148i
\(469\) 38.0589 1.49408i 1.75740 0.0689900i
\(470\) 31.1502 + 5.49262i 1.43685 + 0.253355i
\(471\) −6.61032 + 1.98094i −0.304588 + 0.0912768i
\(472\) −11.9292 + 2.10344i −0.549085 + 0.0968185i
\(473\) −1.01816 + 0.179530i −0.0468152 + 0.00825479i
\(474\) −0.865345 0.815970i −0.0397466 0.0374788i
\(475\) 0.264156 + 0.0465778i 0.0121203 + 0.00213714i
\(476\) −6.95849 11.0294i −0.318942 0.505530i
\(477\) 4.20400 + 1.25613i 0.192488 + 0.0575142i
\(478\) −3.98925 6.90958i −0.182464 0.316037i
\(479\) 5.71953 32.4371i 0.261332 1.48209i −0.517948 0.855412i \(-0.673304\pi\)
0.779280 0.626675i \(-0.215585\pi\)
\(480\) −11.9063 0.690249i −0.543447 0.0315054i
\(481\) −1.07399 + 2.95075i −0.0489696 + 0.134543i
\(482\) −8.61371 + 7.22776i −0.392344 + 0.329215i
\(483\) 27.7751 + 10.7007i 1.26381 + 0.486899i
\(484\) 9.03172 3.28728i 0.410533 0.149422i
\(485\) −13.4357 7.75713i −0.610086 0.352233i
\(486\) 21.2229 + 15.7556i 0.962692 + 0.714687i
\(487\) −12.1204 20.9931i −0.549226 0.951288i −0.998328 0.0578073i \(-0.981589\pi\)
0.449101 0.893481i \(-0.351744\pi\)
\(488\) −2.58635 + 14.6679i −0.117079 + 0.663986i
\(489\) 25.4578 + 34.1765i 1.15124 + 1.54552i
\(490\) −12.3532 12.5724i −0.558061 0.567962i
\(491\) −11.3569 + 2.00253i −0.512529 + 0.0903727i −0.423931 0.905695i \(-0.639350\pi\)
−0.0885987 + 0.996067i \(0.528239\pi\)
\(492\) 2.94785 1.48146i 0.132900 0.0667895i
\(493\) −3.87473 0.683219i −0.174509 0.0307706i
\(494\) 0.148112i 0.00666388i
\(495\) −0.421429 + 0.398027i −0.0189418 + 0.0178900i
\(496\) 39.2769 22.6765i 1.76358 1.01821i
\(497\) 2.76246 + 6.75298i 0.123913 + 0.302913i
\(498\) 3.27151 13.8201i 0.146600 0.619295i
\(499\) 3.90881 3.27988i 0.174983 0.146828i −0.551090 0.834446i \(-0.685788\pi\)
0.726073 + 0.687618i \(0.241344\pi\)
\(500\) −1.75897 9.97564i −0.0786637 0.446124i
\(501\) 30.9474 + 7.32587i 1.38263 + 0.327296i
\(502\) 16.0197 19.0916i 0.714996 0.852099i
\(503\) −12.9688 22.4626i −0.578251 1.00156i −0.995680 0.0928501i \(-0.970402\pi\)
0.417429 0.908709i \(-0.362931\pi\)
\(504\) −15.0668 + 1.48057i −0.671130 + 0.0659500i
\(505\) 3.16873 5.48841i 0.141007 0.244231i
\(506\) −0.490140 1.34665i −0.0217894 0.0598659i
\(507\) 18.8369 9.46661i 0.836577 0.420427i
\(508\) −0.757591 + 0.635695i −0.0336127 + 0.0282044i
\(509\) −4.78794 27.1537i −0.212222 1.20357i −0.885663 0.464328i \(-0.846296\pi\)
0.673442 0.739240i \(-0.264815\pi\)
\(510\) 2.85835 + 24.3978i 0.126570 + 1.08035i
\(511\) −21.0317 2.86300i −0.930388 0.126652i
\(512\) 4.09759i 0.181090i
\(513\) 0.320248 0.382283i 0.0141393 0.0168782i
\(514\) 20.7372 11.9726i 0.914680 0.528091i
\(515\) 3.87050 4.61268i 0.170555 0.203259i
\(516\) −7.19433 9.65823i −0.316713 0.425180i
\(517\) −1.05068 1.25216i −0.0462090 0.0550697i
\(518\) 4.71917 14.7410i 0.207349 0.647683i
\(519\) −5.01772 + 2.52168i −0.220253 + 0.110690i
\(520\) −2.42245 + 0.881700i −0.106232 + 0.0386651i
\(521\) −12.5739 −0.550874 −0.275437 0.961319i \(-0.588823\pi\)
−0.275437 + 0.961319i \(0.588823\pi\)
\(522\) 2.12038 2.85136i 0.0928063 0.124801i
\(523\) 3.41897i 0.149501i 0.997202 + 0.0747507i \(0.0238161\pi\)
−0.997202 + 0.0747507i \(0.976184\pi\)
\(524\) −0.994539 + 5.64031i −0.0434467 + 0.246398i
\(525\) −4.15494 12.1148i −0.181337 0.528732i
\(526\) −24.9192 9.06984i −1.08653 0.395464i
\(527\) −32.9428 39.2598i −1.43501 1.71018i
\(528\) 0.817308 + 0.770675i 0.0355688 + 0.0335393i
\(529\) 18.0313 6.56287i 0.783971 0.285342i
\(530\) −3.68265 −0.159964
\(531\) −18.9244 2.20162i −0.821250 0.0955423i
\(532\) −0.00871659 0.222040i −0.000377912 0.00962664i
\(533\) 1.27339 1.51756i 0.0551565 0.0657330i
\(534\) 46.8290 + 2.71483i 2.02649 + 0.117482i
\(535\) 9.91680 + 11.8184i 0.428741 + 0.510953i
\(536\) −9.39144 + 25.8028i −0.405648 + 1.11451i
\(537\) −27.3295 + 20.3575i −1.17935 + 0.878490i
\(538\) 2.50019 + 6.86922i 0.107791 + 0.296153i
\(539\) 0.0714035 + 0.908038i 0.00307557 + 0.0391120i
\(540\) −6.34714 2.30437i −0.273138 0.0991643i
\(541\) −1.35102 + 2.34004i −0.0580850 + 0.100606i −0.893606 0.448853i \(-0.851833\pi\)
0.835521 + 0.549459i \(0.185166\pi\)
\(542\) 24.2778 + 20.3715i 1.04282 + 0.875029i
\(543\) −24.0339 + 17.9026i −1.03139 + 0.768275i
\(544\) 25.7202 4.53517i 1.10275 0.194444i
\(545\) 1.33717 + 7.58347i 0.0572781 + 0.324840i
\(546\) 6.18953 3.42106i 0.264887 0.146408i
\(547\) 23.8134 + 19.9818i 1.01819 + 0.854362i 0.989399 0.145224i \(-0.0463903\pi\)
0.0287897 + 0.999585i \(0.490835\pi\)
\(548\) −3.52401 + 2.03459i −0.150538 + 0.0869134i
\(549\) −10.5023 + 20.9400i −0.448229 + 0.893697i
\(550\) −0.308315 + 0.534018i −0.0131466 + 0.0227706i
\(551\) −0.0513568 0.0430935i −0.00218787 0.00183584i
\(552\) −14.7214 + 15.6122i −0.626585 + 0.664499i
\(553\) 1.02046 + 0.326689i 0.0433943 + 0.0138922i
\(554\) 5.45060 14.9754i 0.231574 0.636244i
\(555\) −6.08800 + 6.45638i −0.258421 + 0.274058i
\(556\) 3.84834 + 10.5732i 0.163206 + 0.448405i
\(557\) 27.0000 + 15.5885i 1.14403 + 0.660504i 0.947425 0.319979i \(-0.103676\pi\)
0.196602 + 0.980483i \(0.437009\pi\)
\(558\) 45.0318 10.6983i 1.90635 0.452896i
\(559\) −6.26269 3.61577i −0.264884 0.152931i
\(560\) 18.1253 7.41456i 0.765934 0.313322i
\(561\) 0.697272 1.06077i 0.0294389 0.0447859i
\(562\) 43.7557 + 15.9258i 1.84572 + 0.671789i
\(563\) 25.5339 + 9.29359i 1.07613 + 0.391678i 0.818465 0.574557i \(-0.194826\pi\)
0.257662 + 0.966235i \(0.417048\pi\)
\(564\) 7.53691 17.4854i 0.317361 0.736270i
\(565\) −22.5626 3.97839i −0.949215 0.167372i
\(566\) −36.7745 −1.54575
\(567\) −23.3724 4.55311i −0.981549 0.191213i
\(568\) −5.25997 −0.220704
\(569\) 15.9607 + 2.81430i 0.669107 + 0.117982i 0.497875 0.867249i \(-0.334114\pi\)
0.171233 + 0.985231i \(0.445225\pi\)
\(570\) −0.165682 + 0.384380i −0.00693967 + 0.0160999i
\(571\) −34.7802 12.6590i −1.45551 0.529761i −0.511383 0.859353i \(-0.670867\pi\)
−0.944123 + 0.329592i \(0.893089\pi\)
\(572\) −0.0973868 0.0354459i −0.00407195 0.00148207i
\(573\) −5.03499 + 7.65982i −0.210340 + 0.319994i
\(574\) −5.97839 + 7.72067i −0.249533 + 0.322255i
\(575\) −15.7210 9.07655i −0.655613 0.378518i
\(576\) 1.80919 6.05497i 0.0753828 0.252290i
\(577\) −37.5446 21.6764i −1.56300 0.902400i −0.996951 0.0780301i \(-0.975137\pi\)
−0.566052 0.824370i \(-0.691530\pi\)
\(578\) −8.53949 23.4621i −0.355196 0.975893i
\(579\) −20.9947 + 22.2651i −0.872511 + 0.925306i
\(580\) −0.310473 + 0.853018i −0.0128917 + 0.0354196i
\(581\) 2.71423 + 12.5030i 0.112605 + 0.518711i
\(582\) −21.0499 + 22.3236i −0.872546 + 0.925343i
\(583\) 0.145784 + 0.122327i 0.00603775 + 0.00506627i
\(584\) 7.65105 13.2520i 0.316603 0.548372i
\(585\) −4.04765 + 0.237935i −0.167350 + 0.00983740i
\(586\) −13.8589 + 8.00144i −0.572506 + 0.330536i
\(587\) −26.0768 21.8811i −1.07631 0.903128i −0.0806972 0.996739i \(-0.525715\pi\)
−0.995609 + 0.0936106i \(0.970159\pi\)
\(588\) −9.07759 + 5.49288i −0.374353 + 0.226523i
\(589\) −0.151642 0.860003i −0.00624829 0.0354358i
\(590\) 15.7479 2.77677i 0.648329 0.114318i
\(591\) 28.7372 21.4060i 1.18209 0.880527i
\(592\) 13.1736 + 11.0540i 0.541433 + 0.454316i
\(593\) −1.09399 + 1.89484i −0.0449246 + 0.0778118i −0.887613 0.460589i \(-0.847638\pi\)
0.842689 + 0.538401i \(0.180971\pi\)
\(594\) 0.574024 + 0.992388i 0.0235525 + 0.0407182i
\(595\) −11.8080 18.7159i −0.484081 0.767278i
\(596\) −6.12306 16.8230i −0.250810 0.689095i
\(597\) −17.7457 + 13.2186i −0.726284 + 0.541002i
\(598\) 3.42835 9.41930i 0.140196 0.385184i
\(599\) 1.54058 + 1.83600i 0.0629466 + 0.0750168i 0.796599 0.604508i \(-0.206630\pi\)
−0.733652 + 0.679525i \(0.762186\pi\)
\(600\) 9.21773 + 0.534382i 0.376312 + 0.0218161i
\(601\) 9.51673 11.3416i 0.388196 0.462634i −0.536187 0.844099i \(-0.680136\pi\)
0.924383 + 0.381465i \(0.124580\pi\)
\(602\) 31.5448 + 16.5978i 1.28567 + 0.676478i
\(603\) −25.7715 + 34.6560i −1.04949 + 1.41130i
\(604\) 11.9255 0.485242
\(605\) 15.3261 5.57825i 0.623095 0.226788i
\(606\) −9.11903 8.59873i −0.370435 0.349299i
\(607\) 0.668099 + 0.796209i 0.0271173 + 0.0323171i 0.779433 0.626486i \(-0.215507\pi\)
−0.752315 + 0.658803i \(0.771063\pi\)
\(608\) 0.418181 + 0.152205i 0.0169595 + 0.00617274i
\(609\) −0.614626 + 3.14154i −0.0249059 + 0.127302i
\(610\) 3.41427 19.3633i 0.138240 0.783997i
\(611\) 11.4332i 0.462539i
\(612\) 14.6880 + 1.70877i 0.593728 + 0.0690729i
\(613\) 24.0367 0.970835 0.485417 0.874282i \(-0.338668\pi\)
0.485417 + 0.874282i \(0.338668\pi\)
\(614\) 8.95373 3.25889i 0.361343 0.131518i
\(615\) 5.00227 2.51392i 0.201711 0.101371i
\(616\) −0.625381 0.200209i −0.0251973 0.00806665i
\(617\) −10.4252 12.4243i −0.419702 0.500182i 0.514220 0.857659i \(-0.328082\pi\)
−0.933922 + 0.357477i \(0.883637\pi\)
\(618\) −7.11396 9.55034i −0.286165 0.384171i
\(619\) 1.86551 2.22322i 0.0749810 0.0893589i −0.727250 0.686373i \(-0.759202\pi\)
0.802231 + 0.597014i \(0.203646\pi\)
\(620\) −10.2402 + 5.91216i −0.411255 + 0.237438i
\(621\) −29.2151 + 16.8988i −1.17236 + 0.678125i
\(622\) 29.5968i 1.18672i
\(623\) −39.1117 + 15.9995i −1.56698 + 0.641006i
\(624\) 0.914296 + 7.80409i 0.0366011 + 0.312414i
\(625\) −0.558262 3.16606i −0.0223305 0.126642i
\(626\) −0.648663 + 0.544293i −0.0259258 + 0.0217543i
\(627\) 0.0193268 0.00971281i 0.000771839 0.000387892i
\(628\) −1.19247 3.27630i −0.0475849 0.130738i
\(629\) 9.71647 16.8294i 0.387421 0.671033i
\(630\) 19.8899 1.95452i 0.792433 0.0778701i
\(631\) −23.7928 41.2104i −0.947177 1.64056i −0.751333 0.659923i \(-0.770589\pi\)
−0.195844 0.980635i \(-0.562745\pi\)
\(632\) −0.496523 + 0.591733i −0.0197506 + 0.0235379i
\(633\) 34.6269 + 8.19689i 1.37630 + 0.325797i
\(634\) −2.29992 13.0435i −0.0913416 0.518024i
\(635\) −1.28557 + 1.07872i −0.0510163 + 0.0428078i
\(636\) −0.510656 + 2.15721i −0.0202488 + 0.0855391i
\(637\) −3.70000 + 5.18648i −0.146599 + 0.205496i
\(638\) 0.133472 0.0770603i 0.00528422 0.00305085i
\(639\) −7.92679 2.36848i −0.313579 0.0936955i
\(640\) 19.0754i 0.754021i
\(641\) 38.3227 + 6.75732i 1.51365 + 0.266898i 0.867935 0.496677i \(-0.165447\pi\)
0.645719 + 0.763575i \(0.276558\pi\)
\(642\) 27.2628 13.7011i 1.07597 0.540738i
\(643\) 11.9667 2.11005i 0.471919 0.0832121i 0.0673696 0.997728i \(-0.478539\pi\)
0.404550 + 0.914516i \(0.367428\pi\)
\(644\) −4.58521 + 14.3225i −0.180682 + 0.564387i
\(645\) −12.2082 16.3892i −0.480697 0.645326i
\(646\) 0.159167 0.902680i 0.00626234 0.0355155i
\(647\) −1.58605 2.74713i −0.0623542 0.108001i 0.833163 0.553027i \(-0.186528\pi\)
−0.895517 + 0.445027i \(0.853194\pi\)
\(648\) 9.41768 14.3525i 0.369961 0.563820i
\(649\) −0.715642 0.413176i −0.0280914 0.0162186i
\(650\) −4.05299 + 1.47517i −0.158971 + 0.0578608i
\(651\) −32.4365 + 26.2012i −1.27129 + 1.02690i
\(652\) −16.4941 + 13.8402i −0.645958 + 0.542023i
\(653\) −0.519398 + 1.42703i −0.0203256 + 0.0558441i −0.949440 0.313947i \(-0.898349\pi\)
0.929115 + 0.369791i \(0.120571\pi\)
\(654\) 15.2038 + 0.881417i 0.594517 + 0.0344661i
\(655\) −1.68765 + 9.57116i −0.0659421 + 0.373976i
\(656\) −5.42459 9.39567i −0.211795 0.366839i
\(657\) 17.4973 16.5257i 0.682635 0.644727i
\(658\) 2.21064 + 56.3121i 0.0861796 + 2.19527i
\(659\) −37.4050 6.59551i −1.45709 0.256925i −0.611708 0.791083i \(-0.709517\pi\)
−0.845384 + 0.534159i \(0.820628\pi\)
\(660\) −0.213087 0.200928i −0.00829439 0.00782113i
\(661\) 25.5835 4.51107i 0.995085 0.175460i 0.347685 0.937611i \(-0.386968\pi\)
0.647399 + 0.762151i \(0.275857\pi\)
\(662\) 52.7863 9.30765i 2.05160 0.361752i
\(663\) 8.50541 2.54885i 0.330323 0.0989891i
\(664\) −9.08352 1.60167i −0.352509 0.0621568i
\(665\) −0.0147914 0.376784i −0.000573584 0.0146110i
\(666\) 9.65198 + 14.6579i 0.374007 + 0.567984i
\(667\) 2.26859 + 3.92932i 0.0878402 + 0.152144i
\(668\) −2.79019 + 15.8240i −0.107956 + 0.612248i
\(669\) 15.3056 + 30.4554i 0.591747 + 1.17748i
\(670\) 12.3978 34.0626i 0.478967 1.31595i
\(671\) −0.778354 + 0.653117i −0.0300480 + 0.0252133i
\(672\) −3.29846 20.9912i −0.127241 0.809751i
\(673\) −27.9585 + 10.1760i −1.07772 + 0.392258i −0.819058 0.573710i \(-0.805503\pi\)
−0.258661 + 0.965968i \(0.583281\pi\)
\(674\) −10.2982 5.94568i −0.396672 0.229019i
\(675\) 13.6505 + 4.95590i 0.525408 + 0.190753i
\(676\) 5.32574 + 9.22446i 0.204836 + 0.354787i
\(677\) 3.13508 17.7799i 0.120491 0.683339i −0.863393 0.504532i \(-0.831665\pi\)
0.983884 0.178807i \(-0.0572237\pi\)
\(678\) −17.9355 + 41.6100i −0.688810 + 1.59802i
\(679\) 8.42771 26.3252i 0.323426 1.01027i
\(680\) 15.7113 2.77033i 0.602501 0.106237i
\(681\) −0.0319455 + 0.551038i −0.00122415 + 0.0211158i
\(682\) 1.97704 + 0.348606i 0.0757049 + 0.0133488i
\(683\) 6.39465i 0.244684i 0.992488 + 0.122342i \(0.0390406\pi\)
−0.992488 + 0.122342i \(0.960959\pi\)
\(684\) 0.202187 + 0.150353i 0.00773080 + 0.00574890i
\(685\) −5.97996 + 3.45253i −0.228483 + 0.131915i
\(686\) 17.2208 26.2604i 0.657492 1.00263i
\(687\) 14.3693 4.30611i 0.548224 0.164288i
\(688\) −30.3381 + 25.4567i −1.15663 + 0.970528i
\(689\) 0.231148 + 1.31090i 0.00880603 + 0.0499415i
\(690\) 19.4339 20.6099i 0.739836 0.784604i
\(691\) −15.3397 + 18.2811i −0.583548 + 0.695446i −0.974352 0.225028i \(-0.927753\pi\)
0.390804 + 0.920474i \(0.372197\pi\)
\(692\) −1.41865 2.45718i −0.0539291 0.0934080i
\(693\) −0.852299 0.583313i −0.0323762 0.0221582i
\(694\) 9.01139 15.6082i 0.342068 0.592478i
\(695\) 6.53032 + 17.9419i 0.247709 + 0.680576i
\(696\) −1.92844 1.26761i −0.0730971 0.0480486i
\(697\) −9.39157 + 7.88047i −0.355731 + 0.298494i
\(698\) 2.17289 + 12.3231i 0.0822450 + 0.466434i
\(699\) 11.6792 + 5.03420i 0.441749 + 0.190411i
\(700\) 5.98915 2.44999i 0.226368 0.0926010i
\(701\) 7.66638i 0.289555i −0.989464 0.144778i \(-0.953753\pi\)
0.989464 0.144778i \(-0.0462467\pi\)
\(702\) −1.38610 + 7.89825i −0.0523150 + 0.298100i
\(703\) 0.286764 0.165563i 0.0108155 0.00624433i
\(704\) 0.176186 0.209971i 0.00664027 0.00791356i
\(705\) 12.7895 29.6714i 0.481681 1.11749i
\(706\) −18.1511 21.6316i −0.683124 0.814116i
\(707\) 10.7536 + 3.44266i 0.404432 + 0.129475i
\(708\) 0.557112 9.60979i 0.0209375 0.361158i
\(709\) 15.4611 5.62740i 0.580656 0.211341i −0.0349590 0.999389i \(-0.511130\pi\)
0.615615 + 0.788047i \(0.288908\pi\)
\(710\) 6.94376 0.260595
\(711\) −1.01471 + 0.668167i −0.0380545 + 0.0250582i
\(712\) 30.4645i 1.14171i
\(713\) −10.2627 + 58.2025i −0.384340 + 2.17970i
\(714\) −41.3989 + 14.1984i −1.54932 + 0.531361i
\(715\) −0.165258 0.0601488i −0.00618028 0.00224944i
\(716\) −11.0674 13.1896i −0.413608 0.492918i
\(717\) −7.80693 + 2.33953i −0.291555 + 0.0873714i
\(718\) −27.6285 + 10.0559i −1.03109 + 0.375284i
\(719\) 46.7348 1.74291 0.871457 0.490472i \(-0.163176\pi\)
0.871457 + 0.490472i \(0.163176\pi\)
\(720\) −6.35710 + 21.2759i −0.236915 + 0.792905i
\(721\) 9.49414 + 4.99551i 0.353580 + 0.186043i
\(722\) −20.6984 + 24.6674i −0.770316 + 0.918027i
\(723\) 5.15768 + 10.2629i 0.191816 + 0.381681i
\(724\) −9.73280 11.5991i −0.361717 0.431077i
\(725\) 0.667720 1.83455i 0.0247985 0.0681333i
\(726\) −3.75332 32.0369i −0.139299 1.18900i
\(727\) 2.15305 + 5.91545i 0.0798522 + 0.219392i 0.973194 0.229986i \(-0.0738679\pi\)
−0.893342 + 0.449378i \(0.851646\pi\)
\(728\) −2.45076 3.88451i −0.0908312 0.143969i
\(729\) 20.6551 17.3886i 0.765006 0.644024i
\(730\) −10.1002 + 17.4941i −0.373827 + 0.647487i
\(731\) 34.2828 + 28.7667i 1.26799 + 1.06397i
\(732\) −10.8692 4.68503i −0.401736 0.173164i
\(733\) 13.4040 2.36349i 0.495090 0.0872977i 0.0794720 0.996837i \(-0.474677\pi\)
0.415618 + 0.909539i \(0.363565\pi\)
\(734\) −7.86881 44.6262i −0.290443 1.64718i
\(735\) −15.4039 + 9.32098i −0.568183 + 0.343809i
\(736\) −23.0714 19.3592i −0.850424 0.713590i
\(737\) −1.62225 + 0.936605i −0.0597563 + 0.0345003i
\(738\) −2.55921 10.7723i −0.0942060 0.396535i
\(739\) −12.6640 + 21.9347i −0.465852 + 0.806880i −0.999240 0.0389914i \(-0.987586\pi\)
0.533387 + 0.845871i \(0.320919\pi\)
\(740\) −3.43460 2.88197i −0.126258 0.105943i
\(741\) 0.147226 + 0.0348514i 0.00540849 + 0.00128030i
\(742\) −1.39194 6.41191i −0.0510997 0.235389i
\(743\) 7.84457 21.5528i 0.287789 0.790695i −0.708586 0.705625i \(-0.750666\pi\)
0.996375 0.0850699i \(-0.0271114\pi\)
\(744\) −8.62912 28.7951i −0.316359 1.05568i
\(745\) −10.3903 28.5472i −0.380672 1.04589i
\(746\) 27.1851 + 15.6954i 0.995319 + 0.574648i
\(747\) −12.9677 6.50387i −0.474462 0.237964i
\(748\) 0.555439 + 0.320683i 0.0203089 + 0.0117253i
\(749\) −16.8289 + 21.7333i −0.614914 + 0.794117i
\(750\) −33.9381 1.96750i −1.23924 0.0718431i
\(751\) −0.189300 0.0688994i −0.00690764 0.00251417i 0.338564 0.940943i \(-0.390059\pi\)
−0.345472 + 0.938429i \(0.612281\pi\)
\(752\) −58.8381 21.4153i −2.14560 0.780936i
\(753\) −15.2079 20.4162i −0.554206 0.744009i
\(754\) 1.06164 + 0.187195i 0.0386626 + 0.00681725i
\(755\) 20.2366 0.736486
\(756\) 1.61313 11.9221i 0.0586688 0.433602i
\(757\) −32.2011 −1.17037 −0.585184 0.810901i \(-0.698978\pi\)
−0.585184 + 0.810901i \(0.698978\pi\)
\(758\) 58.8305 + 10.3734i 2.13682 + 0.376779i
\(759\) −1.45393 + 0.170336i −0.0527742 + 0.00618281i
\(760\) 0.255447 + 0.0929752i 0.00926605 + 0.00337257i
\(761\) −49.9235 18.1707i −1.80973 0.658686i −0.997117 0.0758754i \(-0.975825\pi\)
−0.812608 0.582811i \(-0.801953\pi\)
\(762\) 1.49036 + 2.96557i 0.0539902 + 0.107431i
\(763\) −12.6983 + 5.19451i −0.459708 + 0.188054i
\(764\) −4.01082 2.31565i −0.145106 0.0837772i
\(765\) 24.9244 + 2.89965i 0.901143 + 0.104837i
\(766\) −24.5355 14.1656i −0.886505 0.511824i
\(767\) −1.97688 5.43145i −0.0713812 0.196118i
\(768\) 29.6104 + 7.00938i 1.06847 + 0.252929i
\(769\) −2.05952 + 5.65850i −0.0742683 + 0.204051i −0.971272 0.237973i \(-0.923517\pi\)
0.897003 + 0.442024i \(0.145739\pi\)
\(770\) 0.825573 + 0.264298i 0.0297516 + 0.00952465i
\(771\) −7.02147 23.4304i −0.252872 0.843825i
\(772\) −11.8444 9.93859i −0.426288 0.357698i
\(773\)