Properties

Label 648.2.bb.b.131.20
Level $648$
Weight $2$
Character 648.131
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 131.20
Character \(\chi\) \(=\) 648.131
Dual form 648.2.bb.b.371.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.14312 + 0.832636i) q^{2} +(1.73188 + 0.0244920i) q^{3} +(0.613434 - 1.90360i) q^{4} +(0.0414453 - 0.711588i) q^{5} +(-2.00013 + 1.41403i) q^{6} +(0.543909 + 2.29493i) q^{7} +(0.883781 + 2.68681i) q^{8} +(2.99880 + 0.0848343i) q^{9} +O(q^{10})\) \(q+(-1.14312 + 0.832636i) q^{2} +(1.73188 + 0.0244920i) q^{3} +(0.613434 - 1.90360i) q^{4} +(0.0414453 - 0.711588i) q^{5} +(-2.00013 + 1.41403i) q^{6} +(0.543909 + 2.29493i) q^{7} +(0.883781 + 2.68681i) q^{8} +(2.99880 + 0.0848343i) q^{9} +(0.545117 + 0.847937i) q^{10} +(0.518686 + 0.788623i) q^{11} +(1.10901 - 3.28178i) q^{12} +(0.389588 + 3.33313i) q^{13} +(-2.53260 - 2.17050i) q^{14} +(0.0892063 - 1.23137i) q^{15} +(-3.24740 - 2.33547i) q^{16} +(0.293271 - 0.349507i) q^{17} +(-3.49862 + 2.39993i) q^{18} +(1.44381 - 1.21150i) q^{19} +(-1.32916 - 0.515407i) q^{20} +(0.885776 + 3.98786i) q^{21} +(-1.24955 - 0.469612i) q^{22} +(-5.49458 - 1.30224i) q^{23} +(1.46480 + 4.67487i) q^{24} +(4.46155 + 0.521481i) q^{25} +(-3.22063 - 3.48578i) q^{26} +(5.19148 + 0.220369i) q^{27} +(4.70229 + 0.372403i) q^{28} +(-4.29178 + 5.76486i) q^{29} +(0.923308 + 1.48187i) q^{30} +(4.14611 - 1.24126i) q^{31} +(5.65675 - 0.0341902i) q^{32} +(0.878985 + 1.37850i) q^{33} +(-0.0442311 + 0.643716i) q^{34} +(1.65559 - 0.291925i) q^{35} +(2.00106 - 5.65648i) q^{36} +(6.12087 + 1.07927i) q^{37} +(-0.641703 + 2.58705i) q^{38} +(0.593083 + 5.78212i) q^{39} +(1.94853 - 0.517532i) q^{40} +(-1.75237 - 0.755897i) q^{41} +(-4.33299 - 3.82106i) q^{42} +(2.02746 + 1.01823i) q^{43} +(1.81940 - 0.503603i) q^{44} +(0.184653 - 2.13039i) q^{45} +(7.36524 - 3.08637i) q^{46} +(1.07637 - 3.59531i) q^{47} +(-5.56690 - 4.12428i) q^{48} +(1.28455 - 0.645127i) q^{49} +(-5.53428 + 3.11874i) q^{50} +(0.516470 - 0.598121i) q^{51} +(6.58395 + 1.30304i) q^{52} +(4.06404 - 7.03912i) q^{53} +(-6.11795 + 4.07070i) q^{54} +(0.582672 - 0.336406i) q^{55} +(-5.68534 + 3.48960i) q^{56} +(2.53017 - 2.06280i) q^{57} +(0.105975 - 10.1634i) q^{58} +(-2.35937 + 3.58725i) q^{59} +(-2.28931 - 0.925175i) q^{60} +(-3.59330 + 3.39010i) q^{61} +(-3.70597 + 4.87111i) q^{62} +(1.43639 + 6.92818i) q^{63} +(-6.43786 + 4.74910i) q^{64} +(2.38796 - 0.139083i) q^{65} +(-2.15257 - 0.843915i) q^{66} +(-2.22805 - 2.99279i) q^{67} +(-0.485420 - 0.772671i) q^{68} +(-9.48404 - 2.38989i) q^{69} +(-1.64946 + 1.71221i) q^{70} +(0.189724 - 0.0690537i) q^{71} +(2.42235 + 8.13217i) q^{72} +(2.37149 + 0.863152i) q^{73} +(-7.89552 + 3.86272i) q^{74} +(7.71409 + 1.01241i) q^{75} +(-1.42053 - 3.49161i) q^{76} +(-1.52772 + 1.61929i) q^{77} +(-5.49237 - 6.11582i) q^{78} +(-12.5483 + 5.41280i) q^{79} +(-1.79648 + 2.21401i) q^{80} +(8.98561 + 0.508802i) q^{81} +(2.63255 - 0.595005i) q^{82} +(-1.86976 + 0.806538i) q^{83} +(8.13467 + 0.760124i) q^{84} +(-0.236550 - 0.223174i) q^{85} +(-3.16543 + 0.524181i) q^{86} +(-7.57403 + 9.87892i) q^{87} +(-1.66047 + 2.09058i) q^{88} +(1.88829 - 5.18804i) q^{89} +(1.56276 + 2.58904i) q^{90} +(-7.43742 + 2.70700i) q^{91} +(-5.84950 + 9.66065i) q^{92} +(7.21095 - 2.04817i) q^{93} +(1.76317 + 5.00608i) q^{94} +(-0.802248 - 1.07761i) q^{95} +(9.79764 + 0.0793318i) q^{96} +(0.615679 + 10.5708i) q^{97} +(-0.931238 + 1.80702i) q^{98} +(1.48853 + 2.40893i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{47}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.14312 + 0.832636i −0.808306 + 0.588763i
\(3\) 1.73188 + 0.0244920i 0.999900 + 0.0141405i
\(4\) 0.613434 1.90360i 0.306717 0.951801i
\(5\) 0.0414453 0.711588i 0.0185349 0.318232i −0.976279 0.216517i \(-0.930530\pi\)
0.994814 0.101714i \(-0.0324328\pi\)
\(6\) −2.00013 + 1.41403i −0.816550 + 0.577274i
\(7\) 0.543909 + 2.29493i 0.205578 + 0.867403i 0.973834 + 0.227260i \(0.0729767\pi\)
−0.768256 + 0.640143i \(0.778875\pi\)
\(8\) 0.883781 + 2.68681i 0.312464 + 0.949930i
\(9\) 2.99880 + 0.0848343i 0.999600 + 0.0282781i
\(10\) 0.545117 + 0.847937i 0.172381 + 0.268141i
\(11\) 0.518686 + 0.788623i 0.156390 + 0.237779i 0.905180 0.425028i \(-0.139736\pi\)
−0.748791 + 0.662806i \(0.769365\pi\)
\(12\) 1.10901 3.28178i 0.320145 0.947369i
\(13\) 0.389588 + 3.33313i 0.108052 + 0.924445i 0.933158 + 0.359467i \(0.117041\pi\)
−0.825106 + 0.564978i \(0.808884\pi\)
\(14\) −2.53260 2.17050i −0.676865 0.580090i
\(15\) 0.0892063 1.23137i 0.0230330 0.317938i
\(16\) −3.24740 2.33547i −0.811850 0.583867i
\(17\) 0.293271 0.349507i 0.0711288 0.0847679i −0.729307 0.684187i \(-0.760157\pi\)
0.800435 + 0.599419i \(0.204602\pi\)
\(18\) −3.49862 + 2.39993i −0.824632 + 0.565670i
\(19\) 1.44381 1.21150i 0.331232 0.277937i −0.461970 0.886896i \(-0.652857\pi\)
0.793202 + 0.608959i \(0.208413\pi\)
\(20\) −1.32916 0.515407i −0.297208 0.115249i
\(21\) 0.885776 + 3.98786i 0.193292 + 0.870223i
\(22\) −1.24955 0.469612i −0.266406 0.100122i
\(23\) −5.49458 1.30224i −1.14570 0.271536i −0.386434 0.922317i \(-0.626293\pi\)
−0.759265 + 0.650781i \(0.774441\pi\)
\(24\) 1.46480 + 4.67487i 0.299000 + 0.954253i
\(25\) 4.46155 + 0.521481i 0.892311 + 0.104296i
\(26\) −3.22063 3.48578i −0.631618 0.683617i
\(27\) 5.19148 + 0.220369i 0.999100 + 0.0424101i
\(28\) 4.70229 + 0.372403i 0.888649 + 0.0703775i
\(29\) −4.29178 + 5.76486i −0.796963 + 1.07051i 0.198934 + 0.980013i \(0.436252\pi\)
−0.995897 + 0.0904946i \(0.971155\pi\)
\(30\) 0.923308 + 1.48187i 0.168572 + 0.270552i
\(31\) 4.14611 1.24126i 0.744663 0.222937i 0.108076 0.994143i \(-0.465531\pi\)
0.636587 + 0.771205i \(0.280346\pi\)
\(32\) 5.65675 0.0341902i 0.999982 0.00604404i
\(33\) 0.878985 + 1.37850i 0.153012 + 0.239966i
\(34\) −0.0442311 + 0.643716i −0.00758558 + 0.110396i
\(35\) 1.65559 0.291925i 0.279845 0.0493443i
\(36\) 2.00106 5.65648i 0.333509 0.942747i
\(37\) 6.12087 + 1.07927i 1.00627 + 0.177432i 0.652408 0.757868i \(-0.273759\pi\)
0.353857 + 0.935300i \(0.384870\pi\)
\(38\) −0.641703 + 2.58705i −0.104098 + 0.419675i
\(39\) 0.593083 + 5.78212i 0.0949693 + 0.925881i
\(40\) 1.94853 0.517532i 0.308089 0.0818291i
\(41\) −1.75237 0.755897i −0.273674 0.118051i 0.254820 0.966988i \(-0.417984\pi\)
−0.528494 + 0.848937i \(0.677243\pi\)
\(42\) −4.33299 3.82106i −0.668594 0.589603i
\(43\) 2.02746 + 1.01823i 0.309184 + 0.155278i 0.596625 0.802520i \(-0.296508\pi\)
−0.287441 + 0.957798i \(0.592804\pi\)
\(44\) 1.81940 0.503603i 0.274285 0.0759210i
\(45\) 0.184653 2.13039i 0.0275265 0.317580i
\(46\) 7.36524 3.08637i 1.08595 0.455061i
\(47\) 1.07637 3.59531i 0.157004 0.524430i −0.842903 0.538066i \(-0.819155\pi\)
0.999907 + 0.0136356i \(0.00434047\pi\)
\(48\) −5.56690 4.12428i −0.803512 0.595288i
\(49\) 1.28455 0.645127i 0.183508 0.0921609i
\(50\) −5.53428 + 3.11874i −0.782666 + 0.441056i
\(51\) 0.516470 0.598121i 0.0723203 0.0837537i
\(52\) 6.58395 + 1.30304i 0.913029 + 0.180699i
\(53\) 4.06404 7.03912i 0.558238 0.966897i −0.439405 0.898289i \(-0.644811\pi\)
0.997644 0.0686082i \(-0.0218558\pi\)
\(54\) −6.11795 + 4.07070i −0.832548 + 0.553953i
\(55\) 0.582672 0.336406i 0.0785674 0.0453609i
\(56\) −5.68534 + 3.48960i −0.759736 + 0.466317i
\(57\) 2.53017 2.06280i 0.335129 0.273225i
\(58\) 0.105975 10.1634i 0.0139152 1.33452i
\(59\) −2.35937 + 3.58725i −0.307164 + 0.467020i −0.955775 0.294100i \(-0.904980\pi\)
0.648611 + 0.761120i \(0.275350\pi\)
\(60\) −2.28931 0.925175i −0.295549 0.119440i
\(61\) −3.59330 + 3.39010i −0.460075 + 0.434058i −0.881057 0.473011i \(-0.843167\pi\)
0.420982 + 0.907069i \(0.361686\pi\)
\(62\) −3.70597 + 4.87111i −0.470658 + 0.618631i
\(63\) 1.43639 + 6.92818i 0.180968 + 0.872869i
\(64\) −6.43786 + 4.74910i −0.804733 + 0.593637i
\(65\) 2.38796 0.139083i 0.296190 0.0172511i
\(66\) −2.15257 0.843915i −0.264964 0.103879i
\(67\) −2.22805 2.99279i −0.272200 0.365628i 0.644913 0.764256i \(-0.276894\pi\)
−0.917113 + 0.398628i \(0.869486\pi\)
\(68\) −0.485420 0.772671i −0.0588658 0.0937002i
\(69\) −9.48404 2.38989i −1.14174 0.287709i
\(70\) −1.64946 + 1.71221i −0.197149 + 0.204648i
\(71\) 0.189724 0.0690537i 0.0225160 0.00819517i −0.330738 0.943723i \(-0.607297\pi\)
0.353254 + 0.935528i \(0.385075\pi\)
\(72\) 2.42235 + 8.13217i 0.285477 + 0.958386i
\(73\) 2.37149 + 0.863152i 0.277562 + 0.101024i 0.477051 0.878876i \(-0.341706\pi\)
−0.199489 + 0.979900i \(0.563928\pi\)
\(74\) −7.89552 + 3.86272i −0.917835 + 0.449032i
\(75\) 7.71409 + 1.01241i 0.890747 + 0.116903i
\(76\) −1.42053 3.49161i −0.162946 0.400515i
\(77\) −1.52772 + 1.61929i −0.174100 + 0.184535i
\(78\) −5.49237 6.11582i −0.621888 0.692480i
\(79\) −12.5483 + 5.41280i −1.41179 + 0.608988i −0.959200 0.282729i \(-0.908760\pi\)
−0.452593 + 0.891717i \(0.649501\pi\)
\(80\) −1.79648 + 2.21401i −0.200852 + 0.247534i
\(81\) 8.98561 + 0.508802i 0.998401 + 0.0565336i
\(82\) 2.63255 0.595005i 0.290716 0.0657073i
\(83\) −1.86976 + 0.806538i −0.205233 + 0.0885290i −0.496215 0.868200i \(-0.665277\pi\)
0.290982 + 0.956729i \(0.406018\pi\)
\(84\) 8.13467 + 0.760124i 0.887565 + 0.0829363i
\(85\) −0.236550 0.223174i −0.0256575 0.0242066i
\(86\) −3.16543 + 0.524181i −0.341337 + 0.0565239i
\(87\) −7.57403 + 9.87892i −0.812021 + 1.05913i
\(88\) −1.66047 + 2.09058i −0.177007 + 0.222856i
\(89\) 1.88829 5.18804i 0.200159 0.549931i −0.798484 0.602016i \(-0.794364\pi\)
0.998643 + 0.0520848i \(0.0165866\pi\)
\(90\) 1.56276 + 2.58904i 0.164730 + 0.272909i
\(91\) −7.43742 + 2.70700i −0.779653 + 0.283771i
\(92\) −5.84950 + 9.66065i −0.609853 + 1.00719i
\(93\) 7.21095 2.04817i 0.747741 0.212385i
\(94\) 1.76317 + 5.00608i 0.181858 + 0.516338i
\(95\) −0.802248 1.07761i −0.0823089 0.110560i
\(96\) 9.79764 + 0.0793318i 0.999967 + 0.00809677i
\(97\) 0.615679 + 10.5708i 0.0625127 + 1.07330i 0.873055 + 0.487622i \(0.162135\pi\)
−0.810542 + 0.585680i \(0.800828\pi\)
\(98\) −0.931238 + 1.80702i −0.0940693 + 0.182537i
\(99\) 1.48853 + 2.40893i 0.149603 + 0.242106i
\(100\) 3.72956 8.17313i 0.372956 0.817313i
\(101\) 1.63782 + 1.73599i 0.162969 + 0.172737i 0.803712 0.595018i \(-0.202855\pi\)
−0.640743 + 0.767755i \(0.721374\pi\)
\(102\) −0.0923688 + 1.11375i −0.00914588 + 0.110278i
\(103\) 9.05968 13.7746i 0.892677 1.35725i −0.0410095 0.999159i \(-0.513057\pi\)
0.933687 0.358091i \(-0.116572\pi\)
\(104\) −8.61118 + 3.99251i −0.844396 + 0.391498i
\(105\) 2.87442 0.465029i 0.280515 0.0453822i
\(106\) 1.21535 + 11.4304i 0.118046 + 1.11022i
\(107\) −9.19604 + 5.30934i −0.889015 + 0.513273i −0.873620 0.486609i \(-0.838234\pi\)
−0.0153947 + 0.999881i \(0.504900\pi\)
\(108\) 3.60412 9.74732i 0.346807 0.937937i
\(109\) −12.7353 7.35275i −1.21982 0.704265i −0.254943 0.966956i \(-0.582057\pi\)
−0.964880 + 0.262691i \(0.915390\pi\)
\(110\) −0.385958 + 0.869704i −0.0367997 + 0.0829231i
\(111\) 10.5742 + 2.01908i 1.00366 + 0.191643i
\(112\) 3.59345 8.72284i 0.339549 0.824231i
\(113\) −1.98630 3.95504i −0.186855 0.372059i 0.780628 0.624996i \(-0.214900\pi\)
−0.967483 + 0.252938i \(0.918603\pi\)
\(114\) −1.17471 + 4.46474i −0.110022 + 0.418161i
\(115\) −1.15438 + 3.85590i −0.107647 + 0.359565i
\(116\) 8.34128 + 11.7062i 0.774468 + 1.08689i
\(117\) 0.885531 + 10.0285i 0.0818674 + 0.927131i
\(118\) −0.289837 6.06514i −0.0266816 0.558342i
\(119\) 0.961608 + 0.482938i 0.0881505 + 0.0442708i
\(120\) 3.38729 0.848580i 0.309215 0.0774644i
\(121\) 4.00399 9.28228i 0.363999 0.843844i
\(122\) 1.28484 6.86720i 0.116324 0.621727i
\(123\) −3.01637 1.35204i −0.271977 0.121909i
\(124\) 0.180491 8.65397i 0.0162086 0.777149i
\(125\) 1.17487 6.66300i 0.105083 0.595956i
\(126\) −7.41061 6.72374i −0.660190 0.598998i
\(127\) 8.64831 1.52493i 0.767413 0.135316i 0.223781 0.974639i \(-0.428160\pi\)
0.543632 + 0.839324i \(0.317049\pi\)
\(128\) 3.40496 10.7892i 0.300958 0.953637i
\(129\) 3.48637 + 1.81310i 0.306958 + 0.159635i
\(130\) −2.61392 + 2.14729i −0.229256 + 0.188330i
\(131\) −17.3025 + 5.18003i −1.51173 + 0.452581i −0.932069 0.362280i \(-0.881998\pi\)
−0.579656 + 0.814861i \(0.696813\pi\)
\(132\) 3.16332 0.827618i 0.275332 0.0720349i
\(133\) 3.56560 + 2.65449i 0.309177 + 0.230174i
\(134\) 5.03883 + 1.56596i 0.435289 + 0.135278i
\(135\) 0.371974 3.68506i 0.0320144 0.317159i
\(136\) 1.19825 + 0.479075i 0.102749 + 0.0410804i
\(137\) 1.76201 15.0750i 0.150539 1.28794i −0.680920 0.732358i \(-0.738420\pi\)
0.831459 0.555586i \(-0.187506\pi\)
\(138\) 12.8313 5.16483i 1.09227 0.439660i
\(139\) −20.1750 4.78156i −1.71122 0.405566i −0.745779 0.666193i \(-0.767922\pi\)
−0.965439 + 0.260627i \(0.916071\pi\)
\(140\) 0.459885 3.33066i 0.0388673 0.281492i
\(141\) 1.95219 6.20028i 0.164404 0.522157i
\(142\) −0.159380 + 0.236907i −0.0133748 + 0.0198808i
\(143\) −2.42651 + 2.03609i −0.202915 + 0.170266i
\(144\) −9.54017 7.27909i −0.795014 0.606591i
\(145\) 3.92433 + 3.29290i 0.325898 + 0.273461i
\(146\) −3.42958 + 0.987906i −0.283834 + 0.0817596i
\(147\) 2.24049 1.08582i 0.184792 0.0895568i
\(148\) 5.80926 10.9896i 0.477518 0.903343i
\(149\) 12.4594 1.45629i 1.02071 0.119304i 0.410760 0.911743i \(-0.365263\pi\)
0.609951 + 0.792439i \(0.291189\pi\)
\(150\) −9.66108 + 5.26573i −0.788824 + 0.429945i
\(151\) −10.8137 16.4415i −0.880008 1.33799i −0.940491 0.339817i \(-0.889635\pi\)
0.0604838 0.998169i \(-0.480736\pi\)
\(152\) 4.53107 + 2.80853i 0.367518 + 0.227802i
\(153\) 0.909112 1.02322i 0.0734974 0.0827227i
\(154\) 0.398084 3.12307i 0.0320785 0.251664i
\(155\) −0.711431 3.00176i −0.0571435 0.241107i
\(156\) 11.3707 + 2.41796i 0.910383 + 0.193591i
\(157\) 2.19787 + 0.128011i 0.175409 + 0.0102164i 0.145625 0.989340i \(-0.453481\pi\)
0.0297846 + 0.999556i \(0.490518\pi\)
\(158\) 9.83727 16.6356i 0.782611 1.32346i
\(159\) 7.21081 12.0914i 0.571855 0.958907i
\(160\) 0.210116 4.02669i 0.0166111 0.318338i
\(161\) 13.3180i 1.04960i
\(162\) −10.6952 + 6.90012i −0.840298 + 0.542125i
\(163\) −22.7277 −1.78017 −0.890085 0.455794i \(-0.849355\pi\)
−0.890085 + 0.455794i \(0.849355\pi\)
\(164\) −2.51389 + 2.87211i −0.196302 + 0.224274i
\(165\) 1.01736 0.568342i 0.0792010 0.0442454i
\(166\) 1.46581 2.47880i 0.113769 0.192392i
\(167\) 0.622575 10.6892i 0.0481763 0.827155i −0.884522 0.466498i \(-0.845515\pi\)
0.932698 0.360657i \(-0.117448\pi\)
\(168\) −9.93178 + 5.90431i −0.766254 + 0.455527i
\(169\) 1.69157 0.400910i 0.130121 0.0308393i
\(170\) 0.456227 + 0.0581533i 0.0349910 + 0.00446015i
\(171\) 4.43247 3.51056i 0.338959 0.268459i
\(172\) 3.18201 3.23485i 0.242626 0.246655i
\(173\) 8.78109 5.77541i 0.667614 0.439096i −0.169938 0.985455i \(-0.554357\pi\)
0.837551 + 0.546358i \(0.183986\pi\)
\(174\) 0.432457 17.5992i 0.0327845 1.33419i
\(175\) 1.22992 + 10.5226i 0.0929729 + 0.795434i
\(176\) 0.157424 3.77235i 0.0118663 0.284351i
\(177\) −4.17400 + 6.15489i −0.313737 + 0.462630i
\(178\) 2.16121 + 7.50280i 0.161990 + 0.562358i
\(179\) −8.47735 + 10.1029i −0.633627 + 0.755127i −0.983349 0.181727i \(-0.941831\pi\)
0.349723 + 0.936853i \(0.386276\pi\)
\(180\) −3.94215 1.65836i −0.293830 0.123607i
\(181\) −2.67908 3.19280i −0.199134 0.237319i 0.657231 0.753689i \(-0.271727\pi\)
−0.856366 + 0.516370i \(0.827283\pi\)
\(182\) 6.24789 9.28708i 0.463125 0.688404i
\(183\) −6.30619 + 5.78324i −0.466167 + 0.427509i
\(184\) −1.35714 15.9138i −0.100050 1.17318i
\(185\) 1.02168 4.31081i 0.0751154 0.316937i
\(186\) −6.53758 + 8.34540i −0.479359 + 0.611914i
\(187\) 0.427745 + 0.0499962i 0.0312798 + 0.00365609i
\(188\) −6.18376 4.25446i −0.450997 0.310288i
\(189\) 2.31796 + 12.0339i 0.168607 + 0.875341i
\(190\) 1.81432 + 0.563849i 0.131624 + 0.0409059i
\(191\) 6.97022 9.36262i 0.504347 0.677456i −0.474920 0.880029i \(-0.657523\pi\)
0.979267 + 0.202573i \(0.0649304\pi\)
\(192\) −11.2659 + 8.06718i −0.813046 + 0.582199i
\(193\) −3.16762 10.5806i −0.228010 0.761608i −0.993057 0.117633i \(-0.962469\pi\)
0.765047 0.643975i \(-0.222716\pi\)
\(194\) −9.50542 11.5710i −0.682449 0.830751i
\(195\) 4.13907 0.182389i 0.296405 0.0130611i
\(196\) −0.440076 2.84102i −0.0314340 0.202930i
\(197\) 4.10977 + 23.3077i 0.292809 + 1.66060i 0.675976 + 0.736923i \(0.263722\pi\)
−0.383167 + 0.923679i \(0.625167\pi\)
\(198\) −3.70733 1.51428i −0.263468 0.107615i
\(199\) −9.61798 1.69591i −0.681801 0.120220i −0.177988 0.984033i \(-0.556959\pi\)
−0.503813 + 0.863813i \(0.668070\pi\)
\(200\) 2.54192 + 12.4482i 0.179741 + 0.880221i
\(201\) −3.78541 5.23772i −0.267003 0.369440i
\(202\) −3.31767 0.620729i −0.233430 0.0436743i
\(203\) −15.5643 6.71378i −1.09240 0.471215i
\(204\) −0.821764 1.35006i −0.0575350 0.0945232i
\(205\) −0.610514 + 1.21563i −0.0426402 + 0.0849035i
\(206\) 1.11294 + 23.2894i 0.0775419 + 1.62265i
\(207\) −16.3667 4.37128i −1.13756 0.303825i
\(208\) 6.51928 11.7339i 0.452031 0.813599i
\(209\) 1.70430 + 0.510233i 0.117889 + 0.0352936i
\(210\) −2.89860 + 2.92493i −0.200023 + 0.201840i
\(211\) −12.4280 + 6.24157i −0.855579 + 0.429688i −0.821823 0.569742i \(-0.807043\pi\)
−0.0337553 + 0.999430i \(0.510747\pi\)
\(212\) −10.9067 12.0543i −0.749072 0.827895i
\(213\) 0.330269 0.114946i 0.0226297 0.00787596i
\(214\) 6.09141 13.7262i 0.416400 0.938300i
\(215\) 0.808586 1.40051i 0.0551451 0.0955141i
\(216\) 3.99604 + 14.1433i 0.271896 + 0.962327i
\(217\) 5.10372 + 8.83990i 0.346463 + 0.600091i
\(218\) 20.6801 2.19885i 1.40064 0.148925i
\(219\) 4.08599 + 1.55296i 0.276106 + 0.104939i
\(220\) −0.282952 1.31554i −0.0190766 0.0886935i
\(221\) 1.27921 + 0.841349i 0.0860489 + 0.0565953i
\(222\) −13.7687 + 6.49639i −0.924093 + 0.436009i
\(223\) 3.43534 3.24107i 0.230047 0.217038i −0.562583 0.826741i \(-0.690192\pi\)
0.792630 + 0.609702i \(0.208711\pi\)
\(224\) 3.15522 + 12.9633i 0.210817 + 0.866144i
\(225\) 13.3351 + 1.94231i 0.889004 + 0.129487i
\(226\) 5.56368 + 2.86721i 0.370090 + 0.190724i
\(227\) 18.5097 1.07807i 1.22853 0.0715539i 0.568431 0.822731i \(-0.307551\pi\)
0.660101 + 0.751177i \(0.270513\pi\)
\(228\) −2.37467 6.08183i −0.157266 0.402779i
\(229\) 11.2603 8.38299i 0.744102 0.553964i −0.156985 0.987601i \(-0.550177\pi\)
0.901088 + 0.433637i \(0.142770\pi\)
\(230\) −1.89097 5.36893i −0.124687 0.354017i
\(231\) −2.68548 + 2.76699i −0.176692 + 0.182055i
\(232\) −19.2821 6.43631i −1.26593 0.422564i
\(233\) −6.27857 17.2502i −0.411323 1.13010i −0.956488 0.291772i \(-0.905755\pi\)
0.545165 0.838329i \(-0.316467\pi\)
\(234\) −9.36232 10.7264i −0.612034 0.701205i
\(235\) −2.51377 0.914937i −0.163980 0.0596839i
\(236\) 5.38137 + 6.69184i 0.350298 + 0.435602i
\(237\) −21.8647 + 9.06698i −1.42026 + 0.588964i
\(238\) −1.50134 + 0.248615i −0.0973176 + 0.0161153i
\(239\) 4.01932 4.26023i 0.259988 0.275572i −0.584210 0.811603i \(-0.698596\pi\)
0.844198 + 0.536031i \(0.180077\pi\)
\(240\) −3.16551 + 3.79040i −0.204333 + 0.244669i
\(241\) 10.3318 + 23.9519i 0.665533 + 1.54288i 0.830765 + 0.556623i \(0.187903\pi\)
−0.165233 + 0.986255i \(0.552837\pi\)
\(242\) 3.15174 + 13.9446i 0.202602 + 0.896393i
\(243\) 15.5495 + 1.10126i 0.997501 + 0.0706458i
\(244\) 4.24916 + 8.91982i 0.272024 + 0.571033i
\(245\) −0.405825 0.940809i −0.0259272 0.0601061i
\(246\) 4.57382 0.965999i 0.291616 0.0615899i
\(247\) 4.60058 + 4.34042i 0.292728 + 0.276174i
\(248\) 6.99929 + 10.0428i 0.444455 + 0.637717i
\(249\) −3.25796 + 1.35103i −0.206465 + 0.0856181i
\(250\) 4.20484 + 8.59482i 0.265938 + 0.543584i
\(251\) −3.60156 + 9.89522i −0.227329 + 0.624580i −0.999947 0.0102903i \(-0.996724\pi\)
0.772618 + 0.634871i \(0.218947\pi\)
\(252\) 14.0696 + 1.51568i 0.886303 + 0.0954786i
\(253\) −1.82298 5.00861i −0.114610 0.314888i
\(254\) −8.61632 + 8.94407i −0.540636 + 0.561201i
\(255\) −0.404210 0.392303i −0.0253126 0.0245670i
\(256\) 5.09119 + 15.1684i 0.318200 + 0.948024i
\(257\) −3.11855 + 2.32168i −0.194530 + 0.144822i −0.690017 0.723793i \(-0.742397\pi\)
0.495487 + 0.868615i \(0.334990\pi\)
\(258\) −5.49498 + 0.830290i −0.342103 + 0.0516916i
\(259\) 0.852334 + 14.6340i 0.0529615 + 0.909313i
\(260\) 1.20010 4.63105i 0.0744269 0.287206i
\(261\) −13.3592 + 16.9236i −0.826917 + 1.04754i
\(262\) 15.4657 20.3281i 0.955474 1.25587i
\(263\) 17.9374 + 19.0125i 1.10607 + 1.17236i 0.983689 + 0.179880i \(0.0575710\pi\)
0.122379 + 0.992483i \(0.460948\pi\)
\(264\) −2.92694 + 3.57996i −0.180141 + 0.220331i
\(265\) −4.84051 3.18366i −0.297350 0.195570i
\(266\) −6.28613 0.0655461i −0.385428 0.00401889i
\(267\) 3.39736 8.93880i 0.207915 0.547046i
\(268\) −7.06385 + 2.40544i −0.431493 + 0.146936i
\(269\) −7.02683 12.1708i −0.428433 0.742068i 0.568301 0.822821i \(-0.307601\pi\)
−0.996734 + 0.0807525i \(0.974268\pi\)
\(270\) 2.64310 + 4.52217i 0.160854 + 0.275211i
\(271\) −17.1852 9.92186i −1.04392 0.602710i −0.122982 0.992409i \(-0.539246\pi\)
−0.920942 + 0.389699i \(0.872579\pi\)
\(272\) −1.76863 + 0.450064i −0.107239 + 0.0272891i
\(273\) −12.9470 + 4.50603i −0.783588 + 0.272718i
\(274\) 10.5378 + 18.6996i 0.636612 + 1.12968i
\(275\) 1.90289 + 3.78897i 0.114749 + 0.228483i
\(276\) −10.3672 + 16.5878i −0.624034 + 0.998468i
\(277\) −0.778879 0.233181i −0.0467983 0.0140105i 0.263319 0.964709i \(-0.415183\pi\)
−0.310117 + 0.950698i \(0.600368\pi\)
\(278\) 27.0436 11.3325i 1.62197 0.679680i
\(279\) 12.5386 3.37057i 0.750669 0.201791i
\(280\) 2.24752 + 4.19025i 0.134315 + 0.250415i
\(281\) 9.00935 17.9391i 0.537453 1.07016i −0.447004 0.894532i \(-0.647509\pi\)
0.984457 0.175625i \(-0.0561947\pi\)
\(282\) 2.93099 + 8.71311i 0.174538 + 0.518858i
\(283\) 3.42605 7.94247i 0.203657 0.472131i −0.785523 0.618832i \(-0.787606\pi\)
0.989181 + 0.146701i \(0.0468655\pi\)
\(284\) −0.0150680 0.403518i −0.000894121 0.0239444i
\(285\) −1.36300 1.88593i −0.0807373 0.111713i
\(286\) 1.07847 4.34789i 0.0637713 0.257096i
\(287\) 0.781605 4.43270i 0.0461367 0.261654i
\(288\) 16.9664 + 0.377357i 0.999753 + 0.0222360i
\(289\) 2.91587 + 16.5367i 0.171522 + 0.972749i
\(290\) −7.22776 0.496635i −0.424429 0.0291634i
\(291\) 0.807380 + 18.3224i 0.0473295 + 1.07408i
\(292\) 3.09785 3.98489i 0.181288 0.233198i
\(293\) −8.61918 28.7901i −0.503538 1.68193i −0.710593 0.703604i \(-0.751573\pi\)
0.207055 0.978329i \(-0.433612\pi\)
\(294\) −1.65705 + 3.10673i −0.0966410 + 0.181188i
\(295\) 2.45486 + 1.82757i 0.142927 + 0.106405i
\(296\) 2.50971 + 17.3994i 0.145874 + 1.01132i
\(297\) 2.51896 + 4.20842i 0.146165 + 0.244197i
\(298\) −13.0300 + 12.0388i −0.754805 + 0.697391i
\(299\) 2.19992 18.8215i 0.127225 1.08848i
\(300\) 6.65931 14.0635i 0.384476 0.811957i
\(301\) −1.23401 + 5.20670i −0.0711271 + 0.300109i
\(302\) 26.0511 + 9.79062i 1.49907 + 0.563387i
\(303\) 2.79399 + 3.04663i 0.160510 + 0.175024i
\(304\) −7.51803 + 0.562254i −0.431189 + 0.0322475i
\(305\) 2.26343 + 2.69745i 0.129604 + 0.154456i
\(306\) −0.187250 + 1.92662i −0.0107043 + 0.110138i
\(307\) −4.93722 4.14282i −0.281782 0.236443i 0.490931 0.871198i \(-0.336657\pi\)
−0.772713 + 0.634755i \(0.781101\pi\)
\(308\) 2.14532 + 3.90149i 0.122241 + 0.222308i
\(309\) 16.0276 23.6340i 0.911780 1.34449i
\(310\) 3.31263 + 2.83900i 0.188144 + 0.161245i
\(311\) −17.1168 + 2.00067i −0.970607 + 0.113448i −0.586595 0.809881i \(-0.699532\pi\)
−0.384012 + 0.923328i \(0.625458\pi\)
\(312\) −15.0113 + 6.70363i −0.849847 + 0.379518i
\(313\) −21.9114 + 14.4113i −1.23850 + 0.814578i −0.988137 0.153573i \(-0.950922\pi\)
−0.250368 + 0.968151i \(0.580552\pi\)
\(314\) −2.61901 + 1.68369i −0.147799 + 0.0950164i
\(315\) 4.98954 0.734973i 0.281129 0.0414111i
\(316\) 2.60628 + 27.2073i 0.146615 + 1.53053i
\(317\) −9.83911 + 2.33191i −0.552619 + 0.130973i −0.497432 0.867503i \(-0.665724\pi\)
−0.0551871 + 0.998476i \(0.517576\pi\)
\(318\) 1.82489 + 19.8258i 0.102335 + 1.11178i
\(319\) −6.77239 0.394447i −0.379181 0.0220848i
\(320\) 3.11258 + 4.77793i 0.173999 + 0.267094i
\(321\) −16.0565 + 8.96989i −0.896184 + 0.500651i
\(322\) 11.0890 + 15.2240i 0.617968 + 0.848401i
\(323\) 0.859919i 0.0478472i
\(324\) 6.48063 16.7929i 0.360035 0.932939i
\(325\) 15.0741i 0.836162i
\(326\) 25.9804 18.9239i 1.43892 1.04810i
\(327\) −21.8759 13.0460i −1.20974 0.721444i
\(328\) 0.482240 5.37632i 0.0266273 0.296857i
\(329\) 8.83644 + 0.514664i 0.487169 + 0.0283743i
\(330\) −0.689733 + 1.49677i −0.0379686 + 0.0823944i
\(331\) −0.0117806 + 0.00279206i −0.000647522 + 0.000153465i −0.230940 0.972968i \(-0.574180\pi\)
0.230292 + 0.973122i \(0.426032\pi\)
\(332\) 0.388350 + 4.05404i 0.0213135 + 0.222495i
\(333\) 18.2637 + 3.75579i 1.00085 + 0.205816i
\(334\) 8.18854 + 12.7374i 0.448057 + 0.696959i
\(335\) −2.22198 + 1.46142i −0.121400 + 0.0798458i
\(336\) 6.43705 15.0189i 0.351170 0.819347i
\(337\) 23.6128 2.75994i 1.28627 0.150343i 0.554665 0.832074i \(-0.312846\pi\)
0.731604 + 0.681730i \(0.238772\pi\)
\(338\) −1.59985 + 1.86675i −0.0870206 + 0.101538i
\(339\) −3.34315 6.89829i −0.181575 0.374664i
\(340\) −0.569942 + 0.313395i −0.0309094 + 0.0169962i
\(341\) 3.12941 + 2.62589i 0.169467 + 0.142200i
\(342\) −2.14381 + 7.70361i −0.115924 + 0.416563i
\(343\) 12.7913 + 15.2441i 0.690667 + 0.823105i
\(344\) −0.943950 + 6.34727i −0.0508944 + 0.342222i
\(345\) −2.09369 + 6.64968i −0.112720 + 0.358007i
\(346\) −5.22899 + 13.9134i −0.281112 + 0.747990i
\(347\) −2.78402 + 11.7467i −0.149454 + 0.630596i 0.845818 + 0.533471i \(0.179113\pi\)
−0.995272 + 0.0971250i \(0.969035\pi\)
\(348\) 14.1594 + 20.4780i 0.759021 + 1.09774i
\(349\) 1.18781 10.1624i 0.0635823 0.543981i −0.923480 0.383646i \(-0.874668\pi\)
0.987063 0.160335i \(-0.0512575\pi\)
\(350\) −10.1674 11.0045i −0.543472 0.588215i
\(351\) 1.28801 + 17.3897i 0.0687491 + 0.928196i
\(352\) 2.96104 + 4.44331i 0.157824 + 0.236829i
\(353\) −15.6296 11.6358i −0.831878 0.619311i 0.0946604 0.995510i \(-0.469823\pi\)
−0.926539 + 0.376199i \(0.877231\pi\)
\(354\) −0.353414 10.5112i −0.0187837 0.558663i
\(355\) −0.0412746 0.137867i −0.00219063 0.00731722i
\(356\) −8.71762 6.77707i −0.462033 0.359184i
\(357\) 1.65356 + 0.859941i 0.0875156 + 0.0455129i
\(358\) 1.27855 18.6074i 0.0675736 0.983429i
\(359\) 4.16284 + 23.6087i 0.219706 + 1.24602i 0.872550 + 0.488525i \(0.162465\pi\)
−0.652844 + 0.757493i \(0.726424\pi\)
\(360\) 5.88715 1.38667i 0.310280 0.0730842i
\(361\) −2.68246 + 15.2130i −0.141182 + 0.800685i
\(362\) 5.72094 + 1.41905i 0.300686 + 0.0745835i
\(363\) 7.16175 15.9777i 0.375895 0.838612i
\(364\) 0.590685 + 15.8184i 0.0309603 + 0.829112i
\(365\) 0.712495 1.65175i 0.0372937 0.0864565i
\(366\) 2.39338 11.8617i 0.125104 0.620020i
\(367\) −8.50864 + 16.9421i −0.444147 + 0.884370i 0.554490 + 0.832190i \(0.312913\pi\)
−0.998638 + 0.0521799i \(0.983383\pi\)
\(368\) 14.8018 + 17.0613i 0.771595 + 0.889381i
\(369\) −5.19087 2.41544i −0.270226 0.125743i
\(370\) 2.42143 + 5.77844i 0.125884 + 0.300407i
\(371\) 18.3648 + 5.49805i 0.953451 + 0.285444i
\(372\) 0.524541 14.9832i 0.0271962 0.776842i
\(373\) −7.91012 15.7503i −0.409570 0.815522i −0.999965 0.00840674i \(-0.997324\pi\)
0.590394 0.807115i \(-0.298972\pi\)
\(374\) −0.530591 + 0.299005i −0.0274362 + 0.0154612i
\(375\) 2.19791 11.5107i 0.113500 0.594411i
\(376\) 10.6112 0.285483i 0.547230 0.0147227i
\(377\) −20.8871 12.0592i −1.07574 0.621078i
\(378\) −12.6696 11.8262i −0.651654 0.608274i
\(379\) −8.29673 14.3704i −0.426175 0.738156i 0.570355 0.821399i \(-0.306806\pi\)
−0.996529 + 0.0832424i \(0.973472\pi\)
\(380\) −2.54346 + 0.866121i −0.130477 + 0.0444311i
\(381\) 15.0152 2.42918i 0.769250 0.124451i
\(382\) −0.172112 + 16.5062i −0.00880601 + 0.844532i
\(383\) 8.29535 + 5.45594i 0.423873 + 0.278785i 0.743472 0.668767i \(-0.233178\pi\)
−0.319599 + 0.947553i \(0.603548\pi\)
\(384\) 6.16122 18.6021i 0.314413 0.949286i
\(385\) 1.08895 + 1.15422i 0.0554979 + 0.0588244i
\(386\) 12.4308 + 9.45738i 0.632709 + 0.481368i
\(387\) 5.99356 + 3.22546i 0.304670 + 0.163959i
\(388\) 20.5003 + 5.31247i 1.04074 + 0.269700i
\(389\) 1.56732 + 26.9099i 0.0794664 + 1.36438i 0.768590 + 0.639741i \(0.220959\pi\)
−0.689124 + 0.724644i \(0.742004\pi\)
\(390\) −4.57958 + 3.65483i −0.231896 + 0.185069i
\(391\) −2.06654 + 1.53849i −0.104510 + 0.0778046i
\(392\) 2.86859 + 2.88119i 0.144886 + 0.145522i
\(393\) −30.0927 + 8.54740i −1.51797 + 0.431159i
\(394\) −24.1048 23.2214i −1.21438 1.16988i
\(395\) 3.33162 + 9.15354i 0.167632 + 0.460565i
\(396\) 5.49875 1.35586i 0.276323 0.0681344i
\(397\) −8.79618 + 24.1673i −0.441468 + 1.21292i 0.497059 + 0.867717i \(0.334413\pi\)
−0.938527 + 0.345206i \(0.887809\pi\)
\(398\) 12.4066 6.06966i 0.621885 0.304245i
\(399\) 6.11018 + 4.68459i 0.305891 + 0.234523i
\(400\) −13.2705 12.1133i −0.663527 0.605663i
\(401\) 13.4346 + 12.6749i 0.670890 + 0.632952i 0.944354 0.328930i \(-0.106688\pi\)
−0.273464 + 0.961882i \(0.588170\pi\)
\(402\) 8.68829 + 2.83546i 0.433333 + 0.141420i
\(403\) 5.75257 + 13.3360i 0.286556 + 0.664311i
\(404\) 4.30932 2.05284i 0.214397 0.102133i
\(405\) 0.734468 6.37296i 0.0364960 0.316675i
\(406\) 23.3820 5.28476i 1.16043 0.262278i
\(407\) 2.32367 + 5.38687i 0.115180 + 0.267017i
\(408\) 2.06348 + 0.859048i 0.102158 + 0.0425292i
\(409\) 11.9251 12.6399i 0.589658 0.625001i −0.361994 0.932181i \(-0.617904\pi\)
0.951652 + 0.307180i \(0.0993853\pi\)
\(410\) −0.314291 1.89795i −0.0155217 0.0937330i
\(411\) 3.42081 26.0649i 0.168736 1.28569i
\(412\) −20.6638 25.6958i −1.01803 1.26594i
\(413\) −9.51577 3.46346i −0.468241 0.170426i
\(414\) 22.3487 8.63059i 1.09838 0.424171i
\(415\) 0.496429 + 1.36393i 0.0243688 + 0.0669526i
\(416\) 2.31776 + 18.8414i 0.113638 + 0.923775i
\(417\) −34.8235 8.77519i −1.70531 0.429723i
\(418\) −2.37305 + 0.835804i −0.116070 + 0.0408805i
\(419\) −19.0614 + 14.1907i −0.931209 + 0.693259i −0.951862 0.306528i \(-0.900833\pi\)
0.0206531 + 0.999787i \(0.493425\pi\)
\(420\) 0.878038 5.75702i 0.0428439 0.280914i
\(421\) −34.1610 + 1.98965i −1.66490 + 0.0969696i −0.864546 0.502554i \(-0.832394\pi\)
−0.800357 + 0.599524i \(0.795357\pi\)
\(422\) 9.00969 17.4829i 0.438585 0.851052i
\(423\) 3.53281 10.6903i 0.171771 0.519780i
\(424\) 22.5045 + 4.69824i 1.09291 + 0.228167i
\(425\) 1.49071 1.40641i 0.0723099 0.0682209i
\(426\) −0.281828 + 0.406391i −0.0136546 + 0.0196897i
\(427\) −9.73449 6.40247i −0.471085 0.309837i
\(428\) 4.46570 + 20.7625i 0.215858 + 1.00359i
\(429\) −4.25229 + 3.46682i −0.205303 + 0.167380i
\(430\) 0.241809 + 2.27421i 0.0116610 + 0.109672i
\(431\) −7.36676 12.7596i −0.354844 0.614608i 0.632247 0.774767i \(-0.282133\pi\)
−0.987091 + 0.160159i \(0.948799\pi\)
\(432\) −16.3441 12.8401i −0.786357 0.617772i
\(433\) −11.3695 + 19.6926i −0.546385 + 0.946366i 0.452134 + 0.891950i \(0.350663\pi\)
−0.998518 + 0.0544157i \(0.982670\pi\)
\(434\) −13.1946 5.85550i −0.633360 0.281073i
\(435\) 6.71581 + 5.79902i 0.321998 + 0.278042i
\(436\) −21.8090 + 19.7326i −1.04446 + 0.945019i
\(437\) −9.51077 + 4.77649i −0.454962 + 0.228490i
\(438\) −5.96382 + 1.62693i −0.284962 + 0.0777379i
\(439\) 15.2139 + 4.55473i 0.726118 + 0.217386i 0.628468 0.777835i \(-0.283682\pi\)
0.0976501 + 0.995221i \(0.468867\pi\)
\(440\) 1.41881 + 1.26822i 0.0676392 + 0.0604599i
\(441\) 3.90685 1.82563i 0.186040 0.0869348i
\(442\) −2.16282 + 0.103355i −0.102875 + 0.00491612i
\(443\) 11.3286 22.5571i 0.538237 1.07172i −0.446028 0.895019i \(-0.647162\pi\)
0.984265 0.176699i \(-0.0565419\pi\)
\(444\) 10.3301 18.8904i 0.490244 0.896500i
\(445\) −3.61348 1.55870i −0.171296 0.0738897i
\(446\) −1.22836 + 6.56531i −0.0581644 + 0.310876i
\(447\) 21.6138 2.21696i 1.02230 0.104859i
\(448\) −14.4005 12.1914i −0.680358 0.575988i
\(449\) −21.5039 3.79172i −1.01483 0.178942i −0.358592 0.933494i \(-0.616743\pi\)
−0.656241 + 0.754552i \(0.727854\pi\)
\(450\) −16.8608 + 8.88297i −0.794825 + 0.418747i
\(451\) −0.312809 1.77403i −0.0147296 0.0835358i
\(452\) −8.74728 + 1.35496i −0.411437 + 0.0637320i
\(453\) −18.3253 28.7394i −0.861000 1.35030i
\(454\) −20.2611 + 16.6442i −0.950902 + 0.781151i
\(455\) 1.61802 + 5.40457i 0.0758540 + 0.253370i
\(456\) 7.77847 + 4.97501i 0.364260 + 0.232976i
\(457\) −3.40658 + 4.57583i −0.159353 + 0.214048i −0.874628 0.484795i \(-0.838894\pi\)
0.715275 + 0.698843i \(0.246302\pi\)
\(458\) −5.89187 + 18.9585i −0.275309 + 0.885872i
\(459\) 1.59953 1.74983i 0.0746598 0.0816751i
\(460\) 6.63197 + 4.56282i 0.309217 + 0.212743i
\(461\) 37.3222 + 4.36234i 1.73827 + 0.203175i 0.925327 0.379169i \(-0.123790\pi\)
0.812943 + 0.582344i \(0.197864\pi\)
\(462\) 0.765923 5.39902i 0.0356340 0.251185i
\(463\) 7.61952 32.1493i 0.354109 1.49410i −0.446428 0.894820i \(-0.647304\pi\)
0.800537 0.599284i \(-0.204548\pi\)
\(464\) 27.4008 8.69749i 1.27205 0.403771i
\(465\) −1.15859 5.21611i −0.0537284 0.241891i
\(466\) 21.5403 + 14.4913i 0.997836 + 0.671295i
\(467\) 13.7977 + 16.4434i 0.638480 + 0.760911i 0.984129 0.177453i \(-0.0567858\pi\)
−0.345649 + 0.938364i \(0.612341\pi\)
\(468\) 19.6334 + 4.46609i 0.907554 + 0.206445i
\(469\) 5.65640 6.74104i 0.261188 0.311272i
\(470\) 3.63534 1.04717i 0.167686 0.0483026i
\(471\) 3.80331 + 0.275530i 0.175247 + 0.0126958i
\(472\) −11.7234 3.16883i −0.539614 0.145857i
\(473\) 0.248615 + 2.12704i 0.0114313 + 0.0978013i
\(474\) 17.4444 28.5699i 0.801247 1.31226i
\(475\) 7.07339 4.65224i 0.324550 0.213460i
\(476\) 1.50920 1.53427i 0.0691742 0.0703231i
\(477\) 12.7844 20.7641i 0.585357 0.950724i
\(478\) −1.04733 + 8.21658i −0.0479039 + 0.375818i
\(479\) −24.0690 + 5.70446i −1.09974 + 0.260644i −0.740134 0.672460i \(-0.765238\pi\)
−0.359608 + 0.933103i \(0.617090\pi\)
\(480\) 0.462517 6.96859i 0.0211109 0.318071i
\(481\) −1.21275 + 20.8222i −0.0552968 + 0.949409i
\(482\) −31.7537 18.7772i −1.44634 0.855276i
\(483\) 0.326184 23.0651i 0.0148419 1.04950i
\(484\) −15.2136 13.3161i −0.691527 0.605275i
\(485\) 7.54756 0.342717
\(486\) −18.6919 + 11.6882i −0.847880 + 0.530188i
\(487\) 23.6334i 1.07093i −0.844556 0.535467i \(-0.820136\pi\)
0.844556 0.535467i \(-0.179864\pi\)
\(488\) −12.2842 6.65839i −0.556082 0.301411i
\(489\) −39.3616 0.556647i −1.77999 0.0251724i
\(490\) 1.24726 + 0.737550i 0.0563454 + 0.0333191i
\(491\) 18.1105 + 1.05482i 0.817316 + 0.0476032i 0.461708 0.887032i \(-0.347237\pi\)
0.355608 + 0.934635i \(0.384274\pi\)
\(492\) −4.42409 + 4.91258i −0.199453 + 0.221476i
\(493\) 0.756204 + 3.19068i 0.0340577 + 0.143701i
\(494\) −8.87299 1.13100i −0.399215 0.0508862i
\(495\) 1.77585 0.959383i 0.0798187 0.0431210i
\(496\) −16.3630 5.65222i −0.734720 0.253792i
\(497\) 0.261666 + 0.397844i 0.0117373 + 0.0178457i
\(498\) 2.59931 4.25708i 0.116478 0.190764i
\(499\) 24.0467 2.81066i 1.07648 0.125822i 0.440670 0.897669i \(-0.354741\pi\)
0.635809 + 0.771847i \(0.280667\pi\)
\(500\) −11.9630 6.32378i −0.535001 0.282808i
\(501\) 1.34002 18.4971i 0.0598679 0.826392i
\(502\) −4.12211 14.3102i −0.183979 0.638695i
\(503\) −23.9585 20.1036i −1.06826 0.896374i −0.0733639 0.997305i \(-0.523373\pi\)
−0.994893 + 0.100931i \(0.967818\pi\)
\(504\) −17.3452 + 9.98229i −0.772619 + 0.444647i
\(505\) 1.30319 1.09350i 0.0579911 0.0486603i
\(506\) 6.25423 + 4.20754i 0.278034 + 0.187048i
\(507\) 2.93942 0.652898i 0.130544 0.0289962i
\(508\) 2.40230 17.3984i 0.106585 0.771928i
\(509\) 1.19761 + 0.283838i 0.0530831 + 0.0125809i 0.257072 0.966392i \(-0.417242\pi\)
−0.203989 + 0.978973i \(0.565391\pi\)
\(510\) 0.788705 + 0.111888i 0.0349245 + 0.00495450i
\(511\) −0.691000 + 5.91189i −0.0305681 + 0.261526i
\(512\) −18.4496 13.1001i −0.815364 0.578949i
\(513\) 7.76247 5.97129i 0.342721 0.263639i
\(514\) 1.63176 5.25057i 0.0719738 0.231593i
\(515\) −9.42634 7.01765i −0.415374 0.309235i
\(516\) 5.59008 5.52444i 0.246089 0.243200i
\(517\) 3.39364 1.01599i 0.149252 0.0446832i
\(518\) −13.1591 16.0187i −0.578179 0.703822i
\(519\) 15.3492 9.78724i 0.673756 0.429612i
\(520\) 2.48413 + 6.29308i 0.108936 + 0.275970i
\(521\) 26.7357 4.71423i 1.17131 0.206534i 0.446051 0.895007i \(-0.352830\pi\)
0.725262 + 0.688473i \(0.241719\pi\)
\(522\) 1.18000 30.4690i 0.0516473 1.33359i
\(523\) 3.38955 19.2231i 0.148215 0.840568i −0.816515 0.577325i \(-0.804097\pi\)
0.964729 0.263243i \(-0.0847922\pi\)
\(524\) −0.753224 + 36.1147i −0.0329047 + 1.57768i
\(525\) 1.87234 + 18.2540i 0.0817158 + 0.796669i
\(526\) −36.3351 6.79823i −1.58429 0.296417i
\(527\) 0.782104 1.81312i 0.0340690 0.0789808i
\(528\) 0.365031 6.52939i 0.0158860 0.284155i
\(529\) 7.94102 + 3.98813i 0.345262 + 0.173397i
\(530\) 8.18410 0.391096i 0.355495 0.0169881i
\(531\) −7.37960 + 10.5573i −0.320247 + 0.458147i
\(532\) 7.24036 5.15914i 0.313909 0.223677i
\(533\) 1.83681 6.13536i 0.0795609 0.265752i
\(534\) 3.55919 + 13.0469i 0.154021 + 0.564593i
\(535\) 3.39693 + 6.76383i 0.146862 + 0.292426i
\(536\) 6.07195 8.63132i 0.262268 0.372816i
\(537\) −14.9292 + 17.2894i −0.644241 + 0.746091i
\(538\) 18.1664 + 8.06189i 0.783207 + 0.347573i
\(539\) 1.17504 + 0.678410i 0.0506126 + 0.0292212i
\(540\) −6.78670 2.96863i −0.292053 0.127749i
\(541\) 3.65797 2.11193i 0.157268 0.0907990i −0.419300 0.907848i \(-0.637725\pi\)
0.576569 + 0.817049i \(0.304391\pi\)
\(542\) 27.9060 2.96715i 1.19866 0.127450i
\(543\) −4.56164 5.59516i −0.195759 0.240111i
\(544\) 1.64701 1.98710i 0.0706151 0.0851963i
\(545\) −5.75994 + 8.75756i −0.246729 + 0.375133i
\(546\) 11.0480 15.9311i 0.472813 0.681787i
\(547\) 3.30423 + 3.50228i 0.141279 + 0.149747i 0.794149 0.607723i \(-0.207917\pi\)
−0.652870 + 0.757470i \(0.726435\pi\)
\(548\) −27.6159 12.6017i −1.17969 0.538317i
\(549\) −11.0632 + 9.86141i −0.472165 + 0.420875i
\(550\) −5.33006 2.74682i −0.227275 0.117125i
\(551\) 0.787615 + 13.5228i 0.0335535 + 0.576092i
\(552\) −1.96064 27.5939i −0.0834505 1.17448i
\(553\) −19.2471 25.8534i −0.818472 1.09940i
\(554\) 1.08451 0.381970i 0.0460762 0.0162283i
\(555\) 1.87500 7.44077i 0.0795895 0.315843i
\(556\) −21.4782 + 35.4719i −0.910878 + 1.50435i
\(557\) 19.6450 7.15021i 0.832387 0.302964i 0.109549 0.993981i \(-0.465059\pi\)
0.722838 + 0.691017i \(0.242837\pi\)
\(558\) −11.5267 + 14.2931i −0.487964 + 0.605075i
\(559\) −2.60402 + 7.15447i −0.110138 + 0.302602i
\(560\) −6.05813 2.91857i −0.256003 0.123332i
\(561\) 0.739578 + 0.0970637i 0.0312250 + 0.00409803i
\(562\) 4.63800 + 28.0080i 0.195642 + 1.18145i
\(563\) 26.7299 + 25.2184i 1.12653 + 1.06283i 0.997463 + 0.0711930i \(0.0226806\pi\)
0.129070 + 0.991636i \(0.458801\pi\)
\(564\) −10.6053 7.51965i −0.446564 0.316634i
\(565\) −2.89668 + 1.24951i −0.121864 + 0.0525671i
\(566\) 2.69682 + 11.9318i 0.113356 + 0.501532i
\(567\) 3.71968 + 20.8981i 0.156212 + 0.877638i
\(568\) 0.353208 + 0.448722i 0.0148203 + 0.0188280i
\(569\) −2.64670 + 1.14167i −0.110955 + 0.0478614i −0.450834 0.892608i \(-0.648873\pi\)
0.339879 + 0.940469i \(0.389614\pi\)
\(570\) 3.12837 + 1.02095i 0.131033 + 0.0427631i
\(571\) −2.87291 + 3.04511i −0.120228 + 0.127434i −0.784691 0.619887i \(-0.787179\pi\)
0.664464 + 0.747321i \(0.268660\pi\)
\(572\) 2.38739 + 5.86812i 0.0998219 + 0.245358i
\(573\) 12.3009 16.0442i 0.513876 0.670256i
\(574\) 2.79736 + 5.71789i 0.116760 + 0.238660i
\(575\) −23.8353 8.67533i −0.993999 0.361786i
\(576\) −19.7087 + 13.6954i −0.821198 + 0.570644i
\(577\) 14.6383 5.32790i 0.609399 0.221803i −0.0188411 0.999822i \(-0.505998\pi\)
0.628240 + 0.778019i \(0.283775\pi\)
\(578\) −17.1023 16.4756i −0.711360 0.685293i
\(579\) −5.22680 18.4019i −0.217218 0.764756i
\(580\) 8.67569 5.45038i 0.360238 0.226315i
\(581\) −2.86793 3.85230i −0.118982 0.159820i
\(582\) −16.1788 20.2724i −0.670634 0.840318i
\(583\) 7.65917 0.446096i 0.317210 0.0184754i
\(584\) −0.223243 + 7.13458i −0.00923788 + 0.295231i
\(585\) 7.17283 0.214501i 0.296560 0.00886853i
\(586\) 33.8244 + 25.7338i 1.39727 + 1.06305i
\(587\) 22.8290 21.5381i 0.942255 0.888971i −0.0517112 0.998662i \(-0.516468\pi\)
0.993966 + 0.109691i \(0.0349861\pi\)
\(588\) −0.692576 4.93108i −0.0285614 0.203354i
\(589\) 4.48239 6.81514i 0.184694 0.280813i
\(590\) −4.32789 0.0451273i −0.178177 0.00185786i
\(591\) 6.54677 + 40.4667i 0.269298 + 1.66458i
\(592\) −17.3563 17.7999i −0.713340 0.731573i
\(593\) −34.1191 + 19.6987i −1.40110 + 0.808927i −0.994506 0.104680i \(-0.966618\pi\)
−0.406597 + 0.913607i \(0.633285\pi\)
\(594\) −6.38355 2.71334i −0.261920 0.111330i
\(595\) 0.383507 0.664253i 0.0157222 0.0272317i
\(596\) 4.87080 24.6110i 0.199516 1.00811i
\(597\) −16.6156 3.17267i −0.680033 0.129849i
\(598\) 13.1567 + 23.3469i 0.538018 + 0.954727i
\(599\) 10.3007 5.17321i 0.420875 0.211372i −0.225740 0.974188i \(-0.572480\pi\)
0.646616 + 0.762816i \(0.276184\pi\)
\(600\) 4.09741 + 21.6210i 0.167276 + 0.882675i
\(601\) 3.99736 13.3521i 0.163056 0.544644i −0.836941 0.547294i \(-0.815658\pi\)
0.999996 + 0.00264922i \(0.000843273\pi\)
\(602\) −2.92467 6.97935i −0.119201 0.284457i
\(603\) −6.42759 9.16381i −0.261752 0.373179i
\(604\) −37.9315 + 10.4993i −1.54341 + 0.427209i
\(605\) −6.43921 3.23389i −0.261791 0.131476i
\(606\) −5.73059 1.15628i −0.232789 0.0469708i
\(607\) 8.21326 + 3.54286i 0.333366 + 0.143800i 0.556182 0.831060i \(-0.312266\pi\)
−0.222816 + 0.974860i \(0.571525\pi\)
\(608\) 8.12584 6.90251i 0.329546 0.279934i
\(609\) −26.7910 12.0087i −1.08563 0.486615i
\(610\) −4.83336 1.19889i −0.195697 0.0485416i
\(611\) 12.4030 + 2.18698i 0.501771 + 0.0884758i
\(612\) −1.39013 2.35827i −0.0561926 0.0953273i
\(613\) −1.51365 + 0.266897i −0.0611357 + 0.0107799i −0.204132 0.978943i \(-0.565437\pi\)
0.142997 + 0.989723i \(0.454326\pi\)
\(614\) 9.09328 + 0.624819i 0.366975 + 0.0252157i
\(615\) −1.08711 + 2.09038i −0.0438365 + 0.0842921i
\(616\) −5.70088 2.67359i −0.229695 0.107722i
\(617\) 29.9167 8.95647i 1.20440 0.360574i 0.379147 0.925336i \(-0.376217\pi\)
0.825253 + 0.564763i \(0.191032\pi\)
\(618\) 1.35706 + 40.3616i 0.0545891 + 1.62358i
\(619\) 21.4281 28.7829i 0.861268 1.15688i −0.125069 0.992148i \(-0.539915\pi\)
0.986338 0.164736i \(-0.0526772\pi\)
\(620\) −6.15058 0.487101i −0.247013 0.0195625i
\(621\) −28.2380 7.97138i −1.13315 0.319881i
\(622\) 17.9007 16.5391i 0.717753 0.663157i
\(623\) 12.9333 + 1.51168i 0.518160 + 0.0605642i
\(624\) 11.5780 20.1620i 0.463490 0.807125i
\(625\) 17.1616 + 4.06738i 0.686465 + 0.162695i
\(626\) 13.0479 34.7181i 0.521498 1.38761i
\(627\) 2.93914 + 0.925403i 0.117378 + 0.0369570i
\(628\) 1.59193 4.10534i 0.0635249 0.163821i
\(629\) 2.17229 1.82277i 0.0866149 0.0726785i
\(630\) −5.09166 + 4.99463i −0.202857 + 0.198991i
\(631\) 3.38969 4.03967i 0.134941 0.160817i −0.694342 0.719645i \(-0.744304\pi\)
0.829283 + 0.558828i \(0.188749\pi\)
\(632\) −25.6331 28.9311i −1.01963 1.15082i
\(633\) −21.6766 + 10.5053i −0.861569 + 0.417546i
\(634\) 9.30562 10.8580i 0.369573 0.431228i
\(635\) −0.726690 6.21723i −0.0288378 0.246723i
\(636\) −18.5938 21.1438i −0.737291 0.838405i
\(637\) 2.65074 + 4.03025i 0.105026 + 0.159684i
\(638\) 8.07006 5.18804i 0.319497 0.205396i
\(639\) 0.574801 0.190983i 0.0227388 0.00755518i
\(640\) −7.53632 2.87008i −0.297899 0.113450i
\(641\) 6.25735 + 26.4019i 0.247151 + 1.04281i 0.945130 + 0.326693i \(0.105934\pi\)
−0.697980 + 0.716117i \(0.745918\pi\)
\(642\) 10.8857 23.6228i 0.429626 0.932318i
\(643\) −0.0735108 + 1.26213i −0.00289898 + 0.0497736i −0.999447 0.0332400i \(-0.989417\pi\)
0.996548 + 0.0830136i \(0.0264545\pi\)
\(644\) −25.3521 8.16970i −0.999014 0.321931i
\(645\) 1.43467 2.40571i 0.0564902 0.0947248i
\(646\) 0.715999 + 0.982988i 0.0281706 + 0.0386751i
\(647\) 37.6138 1.47875 0.739375 0.673294i \(-0.235121\pi\)
0.739375 + 0.673294i \(0.235121\pi\)
\(648\) 6.57426 + 24.5923i 0.258261 + 0.966075i
\(649\) −4.05276 −0.159085
\(650\) −12.5513 17.2315i −0.492301 0.675874i
\(651\) 8.62251 + 15.4346i 0.337943 + 0.604931i
\(652\) −13.9419 + 43.2645i −0.546008 + 1.69437i
\(653\) −2.66429 + 45.7442i −0.104262 + 1.79011i 0.390021 + 0.920806i \(0.372468\pi\)
−0.494283 + 0.869301i \(0.664569\pi\)
\(654\) 35.8693 3.30164i 1.40260 0.129104i
\(655\) 2.96894 + 12.5269i 0.116006 + 0.489468i
\(656\) 3.92526 + 6.54729i 0.153256 + 0.255629i
\(657\) 7.03840 + 2.78960i 0.274594 + 0.108833i
\(658\) −10.5296 + 6.76922i −0.410487 + 0.263892i
\(659\) 15.0359 + 22.8610i 0.585717 + 0.890540i 0.999806 0.0196967i \(-0.00627007\pi\)
−0.414089 + 0.910236i \(0.635900\pi\)
\(660\) −0.457818 2.28528i −0.0178205 0.0889544i
\(661\) 5.54700 + 47.4576i 0.215753 + 1.84589i 0.474889 + 0.880046i \(0.342488\pi\)
−0.259136 + 0.965841i \(0.583438\pi\)
\(662\) 0.0111419 0.0130006i 0.000433041 0.000505284i
\(663\) 2.19483 + 1.48844i 0.0852401 + 0.0578064i
\(664\) −3.81947 4.31089i −0.148224 0.167295i
\(665\) 2.03668 2.42722i 0.0789792 0.0941237i
\(666\) −24.0048 + 10.9137i −0.930166 + 0.422898i
\(667\) 31.0887 26.0866i 1.20376 1.01008i
\(668\) −19.9661 7.74225i −0.772511 0.299557i
\(669\) 6.02896 5.52900i 0.233093 0.213764i
\(670\) 1.32315 3.52067i 0.0511178 0.136015i
\(671\) −4.53731 1.07536i −0.175161 0.0415139i
\(672\) 5.14696 + 22.5281i 0.198548 + 0.869039i
\(673\) −14.4552 1.68957i −0.557207 0.0651281i −0.167171 0.985928i \(-0.553463\pi\)
−0.390036 + 0.920800i \(0.627537\pi\)
\(674\) −24.6941 + 22.8158i −0.951182 + 0.878830i
\(675\) 23.0471 + 3.69044i 0.887084 + 0.142045i
\(676\) 0.274495 3.46601i 0.0105575 0.133308i
\(677\) 17.8569 23.9860i 0.686298 0.921858i −0.313316 0.949649i \(-0.601440\pi\)
0.999614 + 0.0277913i \(0.00884738\pi\)
\(678\) 9.56538 + 5.10192i 0.367356 + 0.195938i
\(679\) −23.9244 + 7.16249i −0.918133 + 0.274871i
\(680\) 0.390566 0.832802i 0.0149775 0.0319365i
\(681\) 32.0829 1.41374i 1.22942 0.0541747i
\(682\) −5.76370 0.396036i −0.220703 0.0151650i
\(683\) 1.80470 0.318217i 0.0690548 0.0121762i −0.139014 0.990290i \(-0.544393\pi\)
0.208069 + 0.978114i \(0.433282\pi\)
\(684\) −3.96368 10.5911i −0.151555 0.404962i
\(685\) −10.6542 1.87862i −0.407074 0.0717782i
\(686\) −27.3148 6.77528i −1.04288 0.258681i
\(687\) 19.7068 14.2425i 0.751861 0.543386i
\(688\) −4.20592 8.04164i −0.160349 0.306585i
\(689\) 25.0456 + 10.8036i 0.954162 + 0.411585i
\(690\) −3.14343 9.34464i −0.119669 0.355744i
\(691\) 45.3003 + 22.7507i 1.72331 + 0.865477i 0.980641 + 0.195814i \(0.0627348\pi\)
0.742665 + 0.669663i \(0.233561\pi\)
\(692\) −5.60747 20.2585i −0.213164 0.770113i
\(693\) −4.71869 + 4.72632i −0.179248 + 0.179538i
\(694\) −6.59827 15.7459i −0.250467 0.597708i
\(695\) −4.23865 + 14.1581i −0.160781 + 0.537047i
\(696\) −33.2365 11.6191i −1.25983 0.440423i
\(697\) −0.778110 + 0.390782i −0.0294730 + 0.0148019i
\(698\) 7.10378 + 12.6058i 0.268882 + 0.477138i
\(699\) −10.4512 30.0291i −0.395302 1.13580i
\(700\) 20.7853 + 4.11365i 0.785611 + 0.155481i
\(701\) −8.95829 + 15.5162i −0.338350 + 0.586040i −0.984123 0.177490i \(-0.943202\pi\)
0.645772 + 0.763530i \(0.276535\pi\)
\(702\) −15.9517 18.8061i −0.602058 0.709789i
\(703\) 10.1449 5.85716i 0.382622 0.220907i
\(704\) −7.08448 2.61376i −0.267006 0.0985097i
\(705\) −4.33113 1.64613i −0.163120 0.0619967i
\(706\) 27.5548 + 0.287317i 1.03704 + 0.0108133i
\(707\) −3.09315 + 4.70290i −0.116330 + 0.176871i
\(708\) 9.15599 + 11.7212i 0.344103 + 0.440511i
\(709\) −5.64017 + 5.32122i −0.211821 + 0.199843i −0.784839 0.619700i \(-0.787254\pi\)
0.573018 + 0.819543i \(0.305773\pi\)
\(710\) 0.161975 + 0.123231i 0.00607880 + 0.00462479i
\(711\) −38.0890 + 15.1674i −1.42845 + 0.568822i
\(712\) 15.6081 + 0.488383i 0.584938 + 0.0183029i
\(713\) −24.3975 + 1.42099i −0.913695 + 0.0532167i
\(714\) −2.60623 + 0.393801i −0.0975357 + 0.0147376i
\(715\) 1.34829 + 1.81106i 0.0504231 + 0.0677299i
\(716\) 14.0316 + 22.3350i 0.524386 + 0.834696i
\(717\) 7.06532 7.27976i 0.263859 0.271868i
\(718\) −24.4160 23.5213i −0.911199 0.877808i
\(719\) −27.2135 + 9.90491i −1.01489 + 0.369391i −0.795310 0.606203i \(-0.792692\pi\)
−0.219583 + 0.975594i \(0.570470\pi\)
\(720\) −5.57510 + 6.48698i −0.207772 + 0.241756i
\(721\) 36.5394 + 13.2992i 1.36080 + 0.495290i
\(722\) −9.60053 19.6238i −0.357295 0.730321i
\(723\) 17.3069 + 41.7348i 0.643649 + 1.55213i
\(724\) −7.72126 + 3.14133i −0.286958 + 0.116746i
\(725\) −22.1543 + 23.4821i −0.822789 + 0.872105i
\(726\) 5.11690 + 24.2275i 0.189906 + 0.899168i
\(727\) −4.70921 + 2.03136i −0.174655 + 0.0753389i −0.481612 0.876385i \(-0.659949\pi\)
0.306957 + 0.951723i \(0.400689\pi\)
\(728\) −13.8462 17.5905i −0.513176 0.651948i
\(729\) 26.9029 + 2.28808i 0.996403 + 0.0847438i
\(730\) 0.560841 + 2.48139i 0.0207577 + 0.0918405i
\(731\) 0.950472 0.409994i 0.0351545 0.0151642i
\(732\) 7.14056 + 15.5521i 0.263923 + 0.574822i
\(733\) 12.1576 + 11.4701i 0.449050 + 0.423657i 0.877255 0.480025i \(-0.159372\pi\)
−0.428205 + 0.903682i \(0.640854\pi\)
\(734\) −4.38023 26.4514i −0.161677 0.976339i
\(735\) −0.679798 1.63931i −0.0250747 0.0604667i
\(736\) −31.1260 7.17858i −1.14732 0.264606i
\(737\) 1.20453 3.30941i 0.0443694 0.121904i
\(738\) 7.94496 1.56097i 0.292458 0.0574601i
\(739\) −14.6238 + 5.32263i −0.537945 + 0.195796i −0.596682 0.802477i \(-0.703515\pi\)
0.0587373 + 0.998273i \(0.481293\pi\)
\(740\) −7.57932 4.58926i −0.278622 0.168705i
\(741\) 7.86133 + 7.62975i 0.288793 + 0.280286i
\(742\) −25.5709 + 9.00625i −0.938739 + 0.330630i
\(743\) −5.40768 7.26377i −0.198388 0.266482i 0.691785 0.722103i \(-0.256825\pi\)
−0.890174 + 0.455621i \(0.849417\pi\)
\(744\) 11.8759 + 17.5643i 0.435393 + 0.643938i
\(745\) −0.519897 8.92629i −0.0190476 0.327034i
\(746\) 22.1565 + 11.4182i 0.811207 + 0.418051i
\(747\) −5.67547 + 2.26002i −0.207655 + 0.0826900i
\(748\) 0.357566 0.783587i 0.0130739 0.0286508i
\(749\) −17.1864 18.2165i −0.627976 0.665616i
\(750\) 7.07177 + 14.9882i 0.258224 + 0.547290i
\(751\) −8.58103 + 13.0468i −0.313126 + 0.476085i −0.957422 0.288691i \(-0.906780\pi\)
0.644296 + 0.764776i \(0.277150\pi\)
\(752\) −11.8921 + 9.16159i −0.433661 + 0.334089i
\(753\) −6.47982 + 17.0491i −0.236138 + 0.621303i
\(754\) 33.9173 3.60631i 1.23519 0.131334i
\(755\) −12.1477 + 7.01348i −0.442100 + 0.255247i
\(756\) 24.3298 + 2.96956i 0.884865 + 0.108002i
\(757\) 17.0339 + 9.83452i 0.619107 + 0.357442i 0.776521 0.630091i \(-0.216982\pi\)
−0.157414 + 0.987533i \(0.550316\pi\)
\(758\) 21.4494 + 9.51885i 0.779078 + 0.345740i
\(759\) −3.03451 8.71894i −0.110146 0.316477i
\(760\) 2.18631 3.10785i 0.0793057 0.112734i
\(761\) 10.0774 + 20.0657i 0.365304 + 0.727381i 0.998929 0.0462594i \(-0.0147301\pi\)
−0.633625 + 0.773640i \(0.718434\pi\)
\(762\) −15.1415 + 15.2790i −0.548517 + 0.553500i
\(763\) 9.94719 33.2259i 0.360113 1.20286i
\(764\) −13.5469 19.0119i −0.490111 0.687825i
\(765\) −0.690434 0.689321i −0.0249627 0.0249224i
\(766\) −14.0254 + 0.670234i −0.506757 + 0.0242165i
\(767\) −12.8760 6.46655i −0.464924 0.233494i
\(768\) 8.44582 + 26.3945i 0.304762 + 0.952428i
\(769\) 15.9422 36.9581i 0.574890 1.33274i −0.344274 0.938869i \(-0.611875\pi\)
0.919164 0.393875i \(-0.128866\pi\)
\(770\) −2.20584 0.412708i −0.0794929 0.0148730i
\(771\) −5.45782 + 3.94448i −0.196558 + 0.142057i
\(772\) −22.0844 0.460602i −0.794834 0.0165774i
\(773\) 0.788885 4.47399i