Properties

Label 216.2.v.b.83.16
Level $216$
Weight $2$
Character 216.83
Analytic conductor $1.725$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(32\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 83.16
Character \(\chi\) \(=\) 216.83
Dual form 216.2.v.b.203.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.117471 + 1.40933i) q^{2} +(1.66179 + 0.488315i) q^{3} +(-1.97240 - 0.331111i) q^{4} +(-1.82990 + 1.53547i) q^{5} +(-0.883408 + 2.28464i) q^{6} +(0.455069 + 1.25029i) q^{7} +(0.698344 - 2.74086i) q^{8} +(2.52310 + 1.62295i) q^{9} +O(q^{10})\) \(q+(-0.117471 + 1.40933i) q^{2} +(1.66179 + 0.488315i) q^{3} +(-1.97240 - 0.331111i) q^{4} +(-1.82990 + 1.53547i) q^{5} +(-0.883408 + 2.28464i) q^{6} +(0.455069 + 1.25029i) q^{7} +(0.698344 - 2.74086i) q^{8} +(2.52310 + 1.62295i) q^{9} +(-1.94901 - 2.75930i) q^{10} +(-3.07907 + 3.66949i) q^{11} +(-3.11603 - 1.51339i) q^{12} +(0.552142 - 0.0973575i) q^{13} +(-1.81553 + 0.494467i) q^{14} +(-3.79070 + 1.65806i) q^{15} +(3.78073 + 1.30617i) q^{16} +(0.710885 - 0.410430i) q^{17} +(-2.58366 + 3.36522i) q^{18} +(3.02483 - 5.23916i) q^{19} +(4.11771 - 2.42266i) q^{20} +(0.145694 + 2.29994i) q^{21} +(-4.80981 - 4.77047i) q^{22} +(4.41436 + 1.60670i) q^{23} +(2.49890 - 4.21372i) q^{24} +(0.122629 - 0.695465i) q^{25} +(0.0723476 + 0.789585i) q^{26} +(3.40035 + 3.92907i) q^{27} +(-0.483593 - 2.61676i) q^{28} +(0.586451 - 3.32593i) q^{29} +(-1.89145 - 5.53711i) q^{30} +(3.71351 - 10.2028i) q^{31} +(-2.28494 + 5.17485i) q^{32} +(-6.90863 + 4.59437i) q^{33} +(0.494921 + 1.05008i) q^{34} +(-2.75251 - 1.58916i) q^{35} +(-4.43918 - 4.03654i) q^{36} +(-7.25187 + 4.18687i) q^{37} +(7.02835 + 4.87842i) q^{38} +(0.965085 + 0.107831i) q^{39} +(2.93060 + 6.08778i) q^{40} +(-4.16735 + 0.734815i) q^{41} +(-3.25848 - 0.0648473i) q^{42} +(2.38891 + 2.00453i) q^{43} +(7.28816 - 6.21819i) q^{44} +(-7.10901 + 0.904294i) q^{45} +(-2.78292 + 6.03253i) q^{46} +(10.7030 - 3.89558i) q^{47} +(5.64496 + 4.01676i) q^{48} +(4.00617 - 3.36158i) q^{49} +(0.965731 + 0.254522i) q^{50} +(1.38176 - 0.334913i) q^{51} +(-1.12128 + 0.00920769i) q^{52} -0.541186 q^{53} +(-5.93679 + 4.33065i) q^{54} -11.4426i q^{55} +(3.74467 - 0.374146i) q^{56} +(7.58499 - 7.22932i) q^{57} +(4.61843 + 1.21720i) q^{58} +(4.04416 + 4.81965i) q^{59} +(8.02579 - 2.01522i) q^{60} +(3.02063 + 8.29912i) q^{61} +(13.9428 + 6.43208i) q^{62} +(-0.880982 + 3.89316i) q^{63} +(-7.02463 - 3.82813i) q^{64} +(-0.860875 + 1.02595i) q^{65} +(-5.66340 - 10.2762i) q^{66} +(-0.850868 - 4.82551i) q^{67} +(-1.53805 + 0.574150i) q^{68} +(6.55117 + 4.82559i) q^{69} +(2.56299 - 3.69251i) q^{70} +(-2.20493 - 3.81906i) q^{71} +(6.21028 - 5.78208i) q^{72} +(-0.205251 + 0.355506i) q^{73} +(-5.04877 - 10.7121i) q^{74} +(0.543390 - 1.09584i) q^{75} +(-7.70092 + 9.33217i) q^{76} +(-5.98912 - 2.17986i) q^{77} +(-0.265339 + 1.34745i) q^{78} +(-4.56009 - 0.804066i) q^{79} +(-8.92394 + 3.41503i) q^{80} +(3.73204 + 8.18974i) q^{81} +(-0.546051 - 5.95947i) q^{82} +(-9.31771 - 1.64296i) q^{83} +(0.474169 - 4.58465i) q^{84} +(-0.670647 + 1.84259i) q^{85} +(-3.10567 + 3.13128i) q^{86} +(2.59866 - 5.24063i) q^{87} +(7.90731 + 11.0019i) q^{88} +(-8.67486 - 5.00843i) q^{89} +(-0.439340 - 10.1251i) q^{90} +(0.372988 + 0.646034i) q^{91} +(-8.17489 - 4.63069i) q^{92} +(11.1532 - 15.1415i) q^{93} +(4.23284 + 15.5417i) q^{94} +(2.50943 + 14.2317i) q^{95} +(-6.32405 + 7.48374i) q^{96} +(-6.77349 - 5.68363i) q^{97} +(4.26695 + 6.04089i) q^{98} +(-13.7242 + 4.26130i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 6 q^{6} - 9 q^{8} - 12 q^{9} + O(q^{10}) \) \( 192 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 6 q^{6} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 30 q^{11} - 3 q^{12} + 9 q^{14} - 6 q^{16} - 18 q^{17} + 63 q^{18} - 6 q^{19} - 27 q^{20} - 18 q^{22} - 30 q^{24} - 12 q^{25} + 18 q^{27} - 12 q^{28} - 21 q^{30} - 36 q^{32} - 30 q^{33} + 12 q^{34} - 18 q^{35} - 36 q^{36} - 102 q^{38} + 9 q^{40} + 18 q^{41} - 6 q^{42} - 42 q^{43} - 81 q^{44} - 3 q^{46} - 81 q^{48} - 12 q^{49} + 57 q^{50} - 18 q^{51} + 21 q^{52} + 78 q^{54} - 69 q^{56} - 36 q^{57} - 33 q^{58} - 84 q^{59} - 54 q^{60} + 90 q^{62} - 51 q^{64} - 12 q^{65} + 87 q^{66} + 30 q^{67} + 63 q^{68} - 33 q^{70} + 12 q^{72} - 6 q^{73} + 51 q^{74} - 96 q^{75} + 30 q^{76} + 90 q^{78} - 12 q^{81} - 12 q^{82} - 72 q^{83} - 48 q^{84} + 42 q^{86} - 78 q^{88} + 144 q^{89} + 120 q^{90} - 6 q^{91} - 3 q^{92} - 33 q^{94} - 78 q^{96} - 42 q^{97} + 162 q^{98} - 12 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.117471 + 1.40933i −0.0830649 + 0.996544i
\(3\) 1.66179 + 0.488315i 0.959435 + 0.281929i
\(4\) −1.97240 0.331111i −0.986200 0.165556i
\(5\) −1.82990 + 1.53547i −0.818356 + 0.686682i −0.952586 0.304268i \(-0.901588\pi\)
0.134231 + 0.990950i \(0.457144\pi\)
\(6\) −0.883408 + 2.28464i −0.360650 + 0.932701i
\(7\) 0.455069 + 1.25029i 0.172000 + 0.472566i 0.995501 0.0947484i \(-0.0302047\pi\)
−0.823501 + 0.567314i \(0.807982\pi\)
\(8\) 0.698344 2.74086i 0.246902 0.969040i
\(9\) 2.52310 + 1.62295i 0.841033 + 0.540984i
\(10\) −1.94901 2.75930i −0.616332 0.872567i
\(11\) −3.07907 + 3.66949i −0.928374 + 1.10639i 0.0657167 + 0.997838i \(0.479067\pi\)
−0.994091 + 0.108554i \(0.965378\pi\)
\(12\) −3.11603 1.51339i −0.899521 0.436878i
\(13\) 0.552142 0.0973575i 0.153137 0.0270021i −0.0965542 0.995328i \(-0.530782\pi\)
0.249691 + 0.968326i \(0.419671\pi\)
\(14\) −1.81553 + 0.494467i −0.485220 + 0.132152i
\(15\) −3.79070 + 1.65806i −0.978755 + 0.428109i
\(16\) 3.78073 + 1.30617i 0.945183 + 0.326542i
\(17\) 0.710885 0.410430i 0.172415 0.0995438i −0.411309 0.911496i \(-0.634928\pi\)
0.583724 + 0.811952i \(0.301595\pi\)
\(18\) −2.58366 + 3.36522i −0.608975 + 0.793189i
\(19\) 3.02483 5.23916i 0.693944 1.20195i −0.276592 0.960987i \(-0.589205\pi\)
0.970536 0.240958i \(-0.0774617\pi\)
\(20\) 4.11771 2.42266i 0.920747 0.541723i
\(21\) 0.145694 + 2.29994i 0.0317930 + 0.501888i
\(22\) −4.80981 4.77047i −1.02545 1.01707i
\(23\) 4.41436 + 1.60670i 0.920457 + 0.335019i 0.758420 0.651766i \(-0.225971\pi\)
0.162037 + 0.986785i \(0.448194\pi\)
\(24\) 2.49890 4.21372i 0.510087 0.860123i
\(25\) 0.122629 0.695465i 0.0245258 0.139093i
\(26\) 0.0723476 + 0.789585i 0.0141885 + 0.154850i
\(27\) 3.40035 + 3.92907i 0.654397 + 0.756151i
\(28\) −0.483593 2.61676i −0.0913905 0.494520i
\(29\) 0.586451 3.32593i 0.108901 0.617610i −0.880689 0.473695i \(-0.842920\pi\)
0.989590 0.143915i \(-0.0459691\pi\)
\(30\) −1.89145 5.53711i −0.345330 1.01093i
\(31\) 3.71351 10.2028i 0.666966 1.83247i 0.124841 0.992177i \(-0.460158\pi\)
0.542125 0.840298i \(-0.317620\pi\)
\(32\) −2.28494 + 5.17485i −0.403925 + 0.914792i
\(33\) −6.90863 + 4.59437i −1.20264 + 0.799777i
\(34\) 0.494921 + 1.05008i 0.0848782 + 0.180088i
\(35\) −2.75251 1.58916i −0.465260 0.268618i
\(36\) −4.43918 4.03654i −0.739864 0.672757i
\(37\) −7.25187 + 4.18687i −1.19220 + 0.688317i −0.958805 0.284065i \(-0.908317\pi\)
−0.233395 + 0.972382i \(0.574983\pi\)
\(38\) 7.02835 + 4.87842i 1.14015 + 0.791385i
\(39\) 0.965085 + 0.107831i 0.154537 + 0.0172668i
\(40\) 2.93060 + 6.08778i 0.463369 + 0.962563i
\(41\) −4.16735 + 0.734815i −0.650830 + 0.114759i −0.489309 0.872110i \(-0.662751\pi\)
−0.161521 + 0.986869i \(0.551640\pi\)
\(42\) −3.25848 0.0648473i −0.502795 0.0100061i
\(43\) 2.38891 + 2.00453i 0.364305 + 0.305689i 0.806504 0.591229i \(-0.201357\pi\)
−0.442199 + 0.896917i \(0.645801\pi\)
\(44\) 7.28816 6.21819i 1.09873 0.937428i
\(45\) −7.10901 + 0.904294i −1.05975 + 0.134804i
\(46\) −2.78292 + 6.03253i −0.410319 + 0.889448i
\(47\) 10.7030 3.89558i 1.56119 0.568228i 0.590185 0.807268i \(-0.299055\pi\)
0.971010 + 0.239039i \(0.0768325\pi\)
\(48\) 5.64496 + 4.01676i 0.814780 + 0.579770i
\(49\) 4.00617 3.36158i 0.572310 0.480225i
\(50\) 0.965731 + 0.254522i 0.136575 + 0.0359948i
\(51\) 1.38176 0.334913i 0.193485 0.0468972i
\(52\) −1.12128 + 0.00920769i −0.155494 + 0.00127688i
\(53\) −0.541186 −0.0743377 −0.0371688 0.999309i \(-0.511834\pi\)
−0.0371688 + 0.999309i \(0.511834\pi\)
\(54\) −5.93679 + 4.33065i −0.807895 + 0.589326i
\(55\) 11.4426i 1.54292i
\(56\) 3.74467 0.374146i 0.500403 0.0499974i
\(57\) 7.58499 7.22932i 1.00466 0.957547i
\(58\) 4.61843 + 1.21720i 0.606430 + 0.159827i
\(59\) 4.04416 + 4.81965i 0.526505 + 0.627464i 0.962106 0.272675i \(-0.0879085\pi\)
−0.435601 + 0.900140i \(0.643464\pi\)
\(60\) 8.02579 2.01522i 1.03612 0.260163i
\(61\) 3.02063 + 8.29912i 0.386752 + 1.06259i 0.968454 + 0.249191i \(0.0801647\pi\)
−0.581702 + 0.813402i \(0.697613\pi\)
\(62\) 13.9428 + 6.43208i 1.77074 + 0.816875i
\(63\) −0.880982 + 3.89316i −0.110993 + 0.490493i
\(64\) −7.02463 3.82813i −0.878079 0.478516i
\(65\) −0.860875 + 1.02595i −0.106778 + 0.127253i
\(66\) −5.66340 10.2762i −0.697116 1.26492i
\(67\) −0.850868 4.82551i −0.103950 0.589530i −0.991634 0.129078i \(-0.958798\pi\)
0.887684 0.460452i \(-0.152313\pi\)
\(68\) −1.53805 + 0.574150i −0.186516 + 0.0696259i
\(69\) 6.55117 + 4.82559i 0.788668 + 0.580932i
\(70\) 2.56299 3.69251i 0.306336 0.441339i
\(71\) −2.20493 3.81906i −0.261677 0.453239i 0.705010 0.709197i \(-0.250942\pi\)
−0.966688 + 0.255958i \(0.917609\pi\)
\(72\) 6.21028 5.78208i 0.731889 0.681424i
\(73\) −0.205251 + 0.355506i −0.0240229 + 0.0416088i −0.877787 0.479051i \(-0.840981\pi\)
0.853764 + 0.520660i \(0.174314\pi\)
\(74\) −5.04877 10.7121i −0.586908 1.24525i
\(75\) 0.543390 1.09584i 0.0627452 0.126536i
\(76\) −7.70092 + 9.33217i −0.883356 + 1.07047i
\(77\) −5.98912 2.17986i −0.682524 0.248418i
\(78\) −0.265339 + 1.34745i −0.0300437 + 0.152569i
\(79\) −4.56009 0.804066i −0.513050 0.0904645i −0.0888713 0.996043i \(-0.528326\pi\)
−0.424179 + 0.905579i \(0.639437\pi\)
\(80\) −8.92394 + 3.41503i −0.997726 + 0.381812i
\(81\) 3.73204 + 8.18974i 0.414672 + 0.909971i
\(82\) −0.546051 5.95947i −0.0603012 0.658113i
\(83\) −9.31771 1.64296i −1.02275 0.180339i −0.362974 0.931799i \(-0.618239\pi\)
−0.659778 + 0.751461i \(0.729350\pi\)
\(84\) 0.474169 4.58465i 0.0517361 0.500226i
\(85\) −0.670647 + 1.84259i −0.0727418 + 0.199857i
\(86\) −3.10567 + 3.13128i −0.334893 + 0.337655i
\(87\) 2.59866 5.24063i 0.278606 0.561854i
\(88\) 7.90731 + 11.0019i 0.842922 + 1.17280i
\(89\) −8.67486 5.00843i −0.919533 0.530893i −0.0360470 0.999350i \(-0.511477\pi\)
−0.883486 + 0.468457i \(0.844810\pi\)
\(90\) −0.439340 10.1251i −0.0463105 1.06728i
\(91\) 0.372988 + 0.646034i 0.0390998 + 0.0677228i
\(92\) −8.17489 4.63069i −0.852291 0.482783i
\(93\) 11.1532 15.1415i 1.15654 1.57010i
\(94\) 4.23284 + 15.5417i 0.436584 + 1.60300i
\(95\) 2.50943 + 14.2317i 0.257462 + 1.46014i
\(96\) −6.32405 + 7.48374i −0.645446 + 0.763806i
\(97\) −6.77349 5.68363i −0.687744 0.577085i 0.230514 0.973069i \(-0.425959\pi\)
−0.918258 + 0.395984i \(0.870404\pi\)
\(98\) 4.26695 + 6.04089i 0.431027 + 0.610222i
\(99\) −13.7242 + 4.26130i −1.37933 + 0.428277i
\(100\) −0.472150 + 1.33113i −0.0472150 + 0.133113i
\(101\) −13.1186 + 4.77480i −1.30535 + 0.475110i −0.898737 0.438488i \(-0.855514\pi\)
−0.406617 + 0.913599i \(0.633292\pi\)
\(102\) 0.309684 + 1.98670i 0.0306633 + 0.196712i
\(103\) 9.86004 + 11.7507i 0.971538 + 1.15783i 0.987445 + 0.157961i \(0.0504919\pi\)
−0.0159072 + 0.999873i \(0.505064\pi\)
\(104\) 0.118742 1.58133i 0.0116436 0.155062i
\(105\) −3.79809 3.98495i −0.370656 0.388891i
\(106\) 0.0635739 0.762708i 0.00617485 0.0740808i
\(107\) 16.9514i 1.63875i −0.573257 0.819375i \(-0.694321\pi\)
0.573257 0.819375i \(-0.305679\pi\)
\(108\) −5.40589 8.87560i −0.520182 0.854055i
\(109\) 8.61539i 0.825205i 0.910911 + 0.412602i \(0.135380\pi\)
−0.910911 + 0.412602i \(0.864620\pi\)
\(110\) 16.1264 + 1.34418i 1.53759 + 0.128162i
\(111\) −14.0956 + 3.41651i −1.33789 + 0.324280i
\(112\) 0.0874022 + 5.32141i 0.00825874 + 0.502826i
\(113\) 3.34008 + 3.98056i 0.314209 + 0.374459i 0.899916 0.436063i \(-0.143628\pi\)
−0.585707 + 0.810523i \(0.699183\pi\)
\(114\) 9.29745 + 11.5390i 0.870786 + 1.08072i
\(115\) −10.5449 + 3.83802i −0.983313 + 0.357897i
\(116\) −2.25797 + 6.36589i −0.209647 + 0.591058i
\(117\) 1.55111 + 0.650458i 0.143401 + 0.0601349i
\(118\) −7.26753 + 5.13337i −0.669030 + 0.472565i
\(119\) 0.836659 + 0.702040i 0.0766964 + 0.0643559i
\(120\) 1.89730 + 11.5477i 0.173199 + 1.05415i
\(121\) −2.07437 11.7643i −0.188579 1.06948i
\(122\) −12.0510 + 3.28215i −1.09105 + 0.297152i
\(123\) −7.28408 0.813866i −0.656783 0.0733838i
\(124\) −10.7028 + 18.8944i −0.961139 + 1.69677i
\(125\) −5.12845 8.88273i −0.458702 0.794495i
\(126\) −5.38325 1.69893i −0.479578 0.151352i
\(127\) −4.00356 2.31146i −0.355259 0.205109i 0.311740 0.950167i \(-0.399088\pi\)
−0.666999 + 0.745059i \(0.732421\pi\)
\(128\) 6.22028 9.45030i 0.549800 0.835296i
\(129\) 2.99103 + 4.49766i 0.263345 + 0.395997i
\(130\) −1.34477 1.33377i −0.117944 0.116980i
\(131\) 3.93615 10.8145i 0.343903 0.944865i −0.640348 0.768085i \(-0.721210\pi\)
0.984250 0.176780i \(-0.0565680\pi\)
\(132\) 15.1478 6.77442i 1.31845 0.589637i
\(133\) 7.92698 + 1.39774i 0.687357 + 0.121200i
\(134\) 6.90067 0.632291i 0.596127 0.0546216i
\(135\) −12.2553 1.96868i −1.05477 0.169437i
\(136\) −0.628488 2.23506i −0.0538924 0.191655i
\(137\) −8.30956 1.46520i −0.709933 0.125180i −0.192991 0.981201i \(-0.561819\pi\)
−0.516943 + 0.856020i \(0.672930\pi\)
\(138\) −7.57040 + 8.66586i −0.644435 + 0.737687i
\(139\) −3.15230 1.14734i −0.267375 0.0973165i 0.204854 0.978793i \(-0.434328\pi\)
−0.472229 + 0.881476i \(0.656550\pi\)
\(140\) 4.90287 + 4.04586i 0.414368 + 0.341937i
\(141\) 19.6884 1.24720i 1.65807 0.105033i
\(142\) 5.64131 2.65884i 0.473409 0.223125i
\(143\) −1.34283 + 2.32585i −0.112293 + 0.194497i
\(144\) 7.41930 + 9.43154i 0.618275 + 0.785962i
\(145\) 4.03371 + 6.98660i 0.334982 + 0.580205i
\(146\) −0.476913 0.331028i −0.0394696 0.0273961i
\(147\) 8.29892 3.62996i 0.684484 0.299394i
\(148\) 15.6899 5.85701i 1.28970 0.481443i
\(149\) −2.96736 16.8288i −0.243096 1.37867i −0.824873 0.565318i \(-0.808754\pi\)
0.581777 0.813348i \(-0.302358\pi\)
\(150\) 1.48056 + 0.894543i 0.120887 + 0.0730391i
\(151\) −2.38057 + 2.83705i −0.193728 + 0.230876i −0.854161 0.520009i \(-0.825929\pi\)
0.660433 + 0.750885i \(0.270373\pi\)
\(152\) −12.2474 11.9494i −0.993398 0.969222i
\(153\) 2.45974 + 0.118179i 0.198858 + 0.00955422i
\(154\) 3.77569 8.18455i 0.304254 0.659530i
\(155\) 8.87070 + 24.3720i 0.712512 + 1.95761i
\(156\) −1.86783 0.532237i −0.149546 0.0426130i
\(157\) −4.95438 5.90440i −0.395402 0.471222i 0.531210 0.847240i \(-0.321738\pi\)
−0.926612 + 0.376018i \(0.877293\pi\)
\(158\) 1.66887 6.33219i 0.132768 0.503762i
\(159\) −0.899338 0.264269i −0.0713222 0.0209579i
\(160\) −3.76459 12.9779i −0.297617 1.02599i
\(161\) 6.25039i 0.492600i
\(162\) −11.9804 + 4.29761i −0.941271 + 0.337652i
\(163\) 20.1482 1.57813 0.789066 0.614309i \(-0.210565\pi\)
0.789066 + 0.614309i \(0.210565\pi\)
\(164\) 8.46298 0.0694960i 0.660848 0.00542672i
\(165\) 5.58759 19.0152i 0.434993 1.48033i
\(166\) 3.41004 12.9387i 0.264670 1.00424i
\(167\) −11.7203 + 9.83453i −0.906946 + 0.761018i −0.971536 0.236894i \(-0.923871\pi\)
0.0645892 + 0.997912i \(0.479426\pi\)
\(168\) 6.40556 + 1.20682i 0.494200 + 0.0931085i
\(169\) −11.9206 + 4.33875i −0.916971 + 0.333750i
\(170\) −2.51802 1.16161i −0.193124 0.0890915i
\(171\) 16.1349 8.30975i 1.23386 0.635463i
\(172\) −4.04817 4.74474i −0.308670 0.361783i
\(173\) 4.70819 + 3.95064i 0.357957 + 0.300362i 0.803976 0.594662i \(-0.202714\pi\)
−0.446019 + 0.895024i \(0.647159\pi\)
\(174\) 7.08049 + 4.27798i 0.536770 + 0.324313i
\(175\) 0.925339 0.163162i 0.0699490 0.0123339i
\(176\) −16.4341 + 9.85157i −1.23877 + 0.742590i
\(177\) 4.36705 + 9.98407i 0.328248 + 0.750448i
\(178\) 8.07756 11.6374i 0.605439 0.872257i
\(179\) −15.0820 + 8.70758i −1.12728 + 0.650835i −0.943249 0.332086i \(-0.892248\pi\)
−0.184030 + 0.982921i \(0.558914\pi\)
\(180\) 14.3212 + 0.570242i 1.06744 + 0.0425033i
\(181\) 20.6704 + 11.9341i 1.53642 + 0.887051i 0.999044 + 0.0437065i \(0.0139167\pi\)
0.537373 + 0.843345i \(0.319417\pi\)
\(182\) −0.954288 + 0.449771i −0.0707365 + 0.0333392i
\(183\) 0.967078 + 15.2664i 0.0714885 + 1.12853i
\(184\) 7.48647 10.9771i 0.551910 0.809244i
\(185\) 6.84139 18.7966i 0.502989 1.38195i
\(186\) 20.0292 + 17.4973i 1.46861 + 1.28296i
\(187\) −0.682796 + 3.87233i −0.0499310 + 0.283173i
\(188\) −22.4005 + 4.13975i −1.63372 + 0.301923i
\(189\) −3.36510 + 6.03943i −0.244775 + 0.439304i
\(190\) −20.3518 + 1.86479i −1.47648 + 0.135286i
\(191\) 0.751494 4.26194i 0.0543762 0.308383i −0.945474 0.325698i \(-0.894401\pi\)
0.999850 + 0.0173151i \(0.00551185\pi\)
\(192\) −9.80413 9.79178i −0.707552 0.706661i
\(193\) 2.14782 + 0.781743i 0.154604 + 0.0562711i 0.418163 0.908372i \(-0.362674\pi\)
−0.263559 + 0.964643i \(0.584896\pi\)
\(194\) 8.80578 8.87839i 0.632218 0.637431i
\(195\) −1.93158 + 1.28454i −0.138323 + 0.0919876i
\(196\) −9.01483 + 5.30389i −0.643916 + 0.378849i
\(197\) 7.00375 12.1308i 0.498996 0.864287i −0.501003 0.865446i \(-0.667035\pi\)
0.999999 + 0.00115839i \(0.000368727\pi\)
\(198\) −4.39336 19.8425i −0.312222 1.41014i
\(199\) −8.97113 + 5.17949i −0.635947 + 0.367164i −0.783051 0.621957i \(-0.786338\pi\)
0.147105 + 0.989121i \(0.453005\pi\)
\(200\) −1.82053 0.821783i −0.128731 0.0581089i
\(201\) 0.942403 8.43448i 0.0664720 0.594922i
\(202\) −5.18818 19.0494i −0.365039 1.34031i
\(203\) 4.42526 0.780293i 0.310592 0.0547658i
\(204\) −2.83628 + 0.203066i −0.198579 + 0.0142174i
\(205\) 6.49754 7.74346i 0.453808 0.540827i
\(206\) −17.7189 + 12.5156i −1.23453 + 0.872005i
\(207\) 8.53027 + 11.2181i 0.592895 + 0.779715i
\(208\) 2.21466 + 0.353107i 0.153559 + 0.0244836i
\(209\) 9.91139 + 27.2313i 0.685585 + 1.88363i
\(210\) 6.06226 4.88463i 0.418336 0.337071i
\(211\) 5.48774 4.60476i 0.377792 0.317005i −0.434043 0.900892i \(-0.642913\pi\)
0.811835 + 0.583887i \(0.198469\pi\)
\(212\) 1.06744 + 0.179193i 0.0733118 + 0.0123070i
\(213\) −1.79924 7.42318i −0.123282 0.508628i
\(214\) 23.8900 + 1.99130i 1.63309 + 0.136123i
\(215\) −7.44936 −0.508042
\(216\) 13.1437 6.57603i 0.894313 0.447442i
\(217\) 14.4464 0.980683
\(218\) −12.1419 1.01206i −0.822353 0.0685455i
\(219\) −0.514684 + 0.490549i −0.0347791 + 0.0331482i
\(220\) −3.78877 + 22.5694i −0.255439 + 1.52163i
\(221\) 0.352551 0.295825i 0.0237151 0.0198994i
\(222\) −3.15914 20.2666i −0.212028 1.36021i
\(223\) −3.21157 8.82372i −0.215063 0.590880i 0.784510 0.620116i \(-0.212915\pi\)
−0.999573 + 0.0292366i \(0.990692\pi\)
\(224\) −7.50987 0.501936i −0.501775 0.0335370i
\(225\) 1.43811 1.55570i 0.0958742 0.103714i
\(226\) −6.00227 + 4.23967i −0.399265 + 0.282018i
\(227\) 9.60066 11.4416i 0.637218 0.759407i −0.346710 0.937972i \(-0.612701\pi\)
0.983928 + 0.178566i \(0.0571456\pi\)
\(228\) −17.3544 + 11.7476i −1.14932 + 0.778006i
\(229\) −9.18182 + 1.61900i −0.606752 + 0.106987i −0.468579 0.883421i \(-0.655234\pi\)
−0.138173 + 0.990408i \(0.544123\pi\)
\(230\) −4.17030 15.3120i −0.274981 1.00964i
\(231\) −8.88821 6.54705i −0.584801 0.430764i
\(232\) −8.70637 3.93003i −0.571601 0.258019i
\(233\) 13.7940 7.96400i 0.903678 0.521739i 0.0252864 0.999680i \(-0.491950\pi\)
0.878392 + 0.477941i \(0.158617\pi\)
\(234\) −1.09892 + 2.10962i −0.0718386 + 0.137910i
\(235\) −13.6039 + 23.5626i −0.887421 + 1.53706i
\(236\) −6.38087 10.8453i −0.415359 0.705972i
\(237\) −7.18527 3.56295i −0.466734 0.231438i
\(238\) −1.08769 + 1.09666i −0.0705043 + 0.0710856i
\(239\) 16.3896 + 5.96534i 1.06016 + 0.385866i 0.812487 0.582979i \(-0.198113\pi\)
0.247670 + 0.968845i \(0.420335\pi\)
\(240\) −16.4973 + 1.31739i −1.06490 + 0.0850369i
\(241\) −4.67757 + 26.5278i −0.301309 + 1.70881i 0.339082 + 0.940757i \(0.389884\pi\)
−0.640391 + 0.768049i \(0.721228\pi\)
\(242\) 16.8235 1.54149i 1.08145 0.0990907i
\(243\) 2.20271 + 15.4320i 0.141304 + 0.989966i
\(244\) −3.20997 17.3694i −0.205497 1.11196i
\(245\) −2.16930 + 12.3027i −0.138591 + 0.785990i
\(246\) 2.00267 10.1700i 0.127686 0.648418i
\(247\) 1.16006 3.18725i 0.0738131 0.202800i
\(248\) −25.3711 17.3033i −1.61107 1.09876i
\(249\) −14.6818 7.28024i −0.930421 0.461366i
\(250\) 13.1211 6.18419i 0.829852 0.391122i
\(251\) 11.6387 + 6.71960i 0.734628 + 0.424138i 0.820113 0.572202i \(-0.193911\pi\)
−0.0854849 + 0.996339i \(0.527244\pi\)
\(252\) 3.02672 7.38718i 0.190665 0.465348i
\(253\) −19.4879 + 11.2513i −1.22519 + 0.707364i
\(254\) 3.72790 5.37080i 0.233910 0.336994i
\(255\) −2.01424 + 2.73451i −0.126136 + 0.171241i
\(256\) 12.5879 + 9.87654i 0.786741 + 0.617284i
\(257\) 27.3502 4.82258i 1.70606 0.300824i 0.766254 0.642537i \(-0.222118\pi\)
0.939804 + 0.341713i \(0.111007\pi\)
\(258\) −6.69003 + 3.68699i −0.416503 + 0.229542i
\(259\) −8.53491 7.16164i −0.530333 0.445002i
\(260\) 2.03769 1.73854i 0.126372 0.107820i
\(261\) 6.87751 7.43987i 0.425707 0.460516i
\(262\) 14.7787 + 6.81770i 0.913033 + 0.421199i
\(263\) 2.74946 1.00072i 0.169539 0.0617071i −0.255856 0.966715i \(-0.582357\pi\)
0.425395 + 0.905008i \(0.360135\pi\)
\(264\) 7.76792 + 22.1440i 0.478083 + 1.36287i
\(265\) 0.990316 0.830974i 0.0608347 0.0510463i
\(266\) −2.90107 + 11.0075i −0.177876 + 0.674914i
\(267\) −11.9701 12.5590i −0.732559 0.768600i
\(268\) 0.0804718 + 9.79957i 0.00491560 + 0.598604i
\(269\) 19.3788 1.18155 0.590773 0.806838i \(-0.298823\pi\)
0.590773 + 0.806838i \(0.298823\pi\)
\(270\) 4.21416 17.0404i 0.256466 1.03705i
\(271\) 25.2492i 1.53378i −0.641779 0.766890i \(-0.721803\pi\)
0.641779 0.766890i \(-0.278197\pi\)
\(272\) 3.22376 0.623189i 0.195469 0.0377864i
\(273\) 0.304360 + 1.25571i 0.0184207 + 0.0759990i
\(274\) 3.04108 11.5388i 0.183718 0.697082i
\(275\) 2.17442 + 2.59137i 0.131122 + 0.156265i
\(276\) −11.3237 11.6872i −0.681608 0.703484i
\(277\) −8.11046 22.2833i −0.487310 1.33887i −0.903107 0.429416i \(-0.858719\pi\)
0.415796 0.909458i \(-0.363503\pi\)
\(278\) 1.98729 4.30784i 0.119190 0.258367i
\(279\) 25.9282 19.7158i 1.55228 1.18035i
\(280\) −6.27788 + 6.43447i −0.375175 + 0.384533i
\(281\) 8.55970 10.2011i 0.510629 0.608544i −0.447709 0.894179i \(-0.647760\pi\)
0.958338 + 0.285635i \(0.0922046\pi\)
\(282\) −0.555119 + 27.8939i −0.0330569 + 1.66106i
\(283\) −2.09329 11.8716i −0.124433 0.705696i −0.981643 0.190728i \(-0.938915\pi\)
0.857210 0.514968i \(-0.172196\pi\)
\(284\) 3.08448 + 8.26279i 0.183030 + 0.490306i
\(285\) −2.77939 + 24.8754i −0.164637 + 1.47349i
\(286\) −3.12014 2.16571i −0.184497 0.128061i
\(287\) −2.81516 4.87601i −0.166174 0.287822i
\(288\) −14.1637 + 9.34828i −0.834602 + 0.550853i
\(289\) −8.16309 + 14.1389i −0.480182 + 0.831700i
\(290\) −10.3202 + 4.86409i −0.606025 + 0.285629i
\(291\) −8.48072 12.7526i −0.497149 0.747571i
\(292\) 0.522550 0.633239i 0.0305799 0.0370575i
\(293\) −6.00209 2.18458i −0.350646 0.127625i 0.160692 0.987005i \(-0.448628\pi\)
−0.511338 + 0.859380i \(0.670850\pi\)
\(294\) 4.14092 + 12.1223i 0.241503 + 0.706987i
\(295\) −14.8008 2.60978i −0.861737 0.151948i
\(296\) 6.41132 + 22.8002i 0.372650 + 1.32524i
\(297\) −24.8876 + 0.379659i −1.44413 + 0.0220301i
\(298\) 24.0658 2.20509i 1.39409 0.127737i
\(299\) 2.59378 + 0.457353i 0.150002 + 0.0264494i
\(300\) −1.43463 + 1.98150i −0.0828281 + 0.114402i
\(301\) −1.41913 + 3.89904i −0.0817975 + 0.224737i
\(302\) −3.71869 3.68827i −0.213986 0.212236i
\(303\) −24.1321 + 1.52869i −1.38635 + 0.0878208i
\(304\) 18.2793 15.8569i 1.04839 0.909456i
\(305\) −18.2705 10.5485i −1.04616 0.604003i
\(306\) −0.455502 + 3.45270i −0.0260393 + 0.197377i
\(307\) 7.56813 + 13.1084i 0.431936 + 0.748136i 0.997040 0.0768843i \(-0.0244972\pi\)
−0.565104 + 0.825020i \(0.691164\pi\)
\(308\) 11.0912 + 6.28263i 0.631978 + 0.357986i
\(309\) 10.6473 + 24.3421i 0.605702 + 1.38477i
\(310\) −35.3902 + 9.63869i −2.01003 + 0.547441i
\(311\) 1.04978 + 5.95361i 0.0595277 + 0.337598i 0.999997 0.00227916i \(-0.000725481\pi\)
−0.940470 + 0.339878i \(0.889614\pi\)
\(312\) 0.969512 2.56986i 0.0548878 0.145490i
\(313\) 8.82704 + 7.40677i 0.498934 + 0.418655i 0.857215 0.514958i \(-0.172193\pi\)
−0.358281 + 0.933614i \(0.616637\pi\)
\(314\) 8.90322 6.28873i 0.502438 0.354894i
\(315\) −4.36572 8.47682i −0.245980 0.477615i
\(316\) 8.72808 + 3.09584i 0.490993 + 0.174154i
\(317\) −11.9885 + 4.36344i −0.673339 + 0.245075i −0.655985 0.754774i \(-0.727746\pi\)
−0.0173540 + 0.999849i \(0.505524\pi\)
\(318\) 0.478088 1.23642i 0.0268098 0.0693348i
\(319\) 10.3987 + 12.3927i 0.582218 + 0.693861i
\(320\) 18.7323 3.78100i 1.04717 0.211364i
\(321\) 8.27760 28.1696i 0.462011 1.57228i
\(322\) −8.80884 0.734243i −0.490898 0.0409177i
\(323\) 4.96592i 0.276311i
\(324\) −4.64937 17.3892i −0.258298 0.966065i
\(325\) 0.395934i 0.0219625i
\(326\) −2.36684 + 28.3954i −0.131087 + 1.57268i
\(327\) −4.20702 + 14.3170i −0.232649 + 0.791731i
\(328\) −0.896216 + 11.9353i −0.0494853 + 0.659015i
\(329\) 9.74122 + 11.6091i 0.537051 + 0.640032i
\(330\) 26.1423 + 10.1085i 1.43908 + 0.556454i
\(331\) −8.23367 + 2.99681i −0.452563 + 0.164720i −0.558237 0.829681i \(-0.688522\pi\)
0.105674 + 0.994401i \(0.466300\pi\)
\(332\) 17.8343 + 6.32578i 0.978782 + 0.347172i
\(333\) −25.0923 1.20557i −1.37505 0.0660647i
\(334\) −12.4833 17.6730i −0.683053 0.967026i
\(335\) 8.96642 + 7.52372i 0.489888 + 0.411065i
\(336\) −2.45328 + 8.88576i −0.133837 + 0.484758i
\(337\) 2.10804 + 11.9553i 0.114832 + 0.651245i 0.986833 + 0.161741i \(0.0517110\pi\)
−0.872001 + 0.489504i \(0.837178\pi\)
\(338\) −4.71438 17.3097i −0.256429 0.941525i
\(339\) 3.60676 + 8.24587i 0.195892 + 0.447854i
\(340\) 1.93289 3.41226i 0.104825 0.185056i
\(341\) 26.0049 + 45.0418i 1.40824 + 2.43915i
\(342\) 9.81577 + 23.7154i 0.530776 + 1.28238i
\(343\) 14.0920 + 8.13600i 0.760894 + 0.439303i
\(344\) 7.16243 5.14782i 0.386172 0.277552i
\(345\) −19.3975 + 1.22877i −1.04433 + 0.0661547i
\(346\) −6.12082 + 6.17129i −0.329057 + 0.331771i
\(347\) −3.14976 + 8.65389i −0.169088 + 0.464565i −0.995075 0.0991236i \(-0.968396\pi\)
0.825987 + 0.563689i \(0.190618\pi\)
\(348\) −6.86083 + 9.47618i −0.367779 + 0.507976i
\(349\) 13.3909 + 2.36117i 0.716798 + 0.126391i 0.520139 0.854081i \(-0.325880\pi\)
0.196658 + 0.980472i \(0.436991\pi\)
\(350\) 0.121248 + 1.32327i 0.00648097 + 0.0707318i
\(351\) 2.26000 + 1.83836i 0.120630 + 0.0981242i
\(352\) −11.9535 24.3183i −0.637126 1.29617i
\(353\) −21.6804 3.82285i −1.15393 0.203470i −0.436241 0.899830i \(-0.643690\pi\)
−0.717692 + 0.696360i \(0.754802\pi\)
\(354\) −14.5838 + 4.98175i −0.775121 + 0.264777i
\(355\) 9.89885 + 3.60289i 0.525376 + 0.191221i
\(356\) 15.4519 + 12.7510i 0.818952 + 0.675800i
\(357\) 1.04754 + 1.57520i 0.0554415 + 0.0833682i
\(358\) −10.5001 22.2783i −0.554948 1.17744i
\(359\) −3.83216 + 6.63749i −0.202253 + 0.350313i −0.949254 0.314510i \(-0.898160\pi\)
0.747001 + 0.664823i \(0.231493\pi\)
\(360\) −2.48599 + 20.1163i −0.131023 + 1.06022i
\(361\) −8.79919 15.2407i −0.463115 0.802140i
\(362\) −19.2472 + 27.7294i −1.01161 + 1.45743i
\(363\) 2.29753 20.5628i 0.120589 1.07927i
\(364\) −0.521773 1.39774i −0.0273483 0.0732614i
\(365\) −0.170278 0.965697i −0.00891278 0.0505469i
\(366\) −21.6290 0.430440i −1.13056 0.0224994i
\(367\) −19.4285 + 23.1540i −1.01416 + 1.20863i −0.0363077 + 0.999341i \(0.511560\pi\)
−0.977854 + 0.209290i \(0.932885\pi\)
\(368\) 14.5909 + 11.8404i 0.760603 + 0.617222i
\(369\) −11.7072 4.90940i −0.609452 0.255573i
\(370\) 25.6868 + 11.8498i 1.33539 + 0.616042i
\(371\) −0.246277 0.676641i −0.0127861 0.0351294i
\(372\) −27.0122 + 26.1722i −1.40052 + 1.35697i
\(373\) −24.0563 28.6692i −1.24559 1.48444i −0.812365 0.583149i \(-0.801820\pi\)
−0.433224 0.901286i \(-0.642624\pi\)
\(374\) −5.37716 1.41717i −0.278046 0.0732801i
\(375\) −4.18484 17.2655i −0.216104 0.891588i
\(376\) −3.20285 32.0559i −0.165174 1.65316i
\(377\) 1.89348i 0.0975192i
\(378\) −8.11622 5.45198i −0.417453 0.280420i
\(379\) −16.6417 −0.854828 −0.427414 0.904056i \(-0.640575\pi\)
−0.427414 + 0.904056i \(0.640575\pi\)
\(380\) −0.237332 28.9014i −0.0121749 1.48261i
\(381\) −5.52437 5.79616i −0.283022 0.296946i
\(382\) 5.91818 + 1.55976i 0.302800 + 0.0798041i
\(383\) 17.0762 14.3286i 0.872552 0.732158i −0.0920820 0.995751i \(-0.529352\pi\)
0.964634 + 0.263594i \(0.0849078\pi\)
\(384\) 14.9515 12.6670i 0.762991 0.646409i
\(385\) 14.3066 5.20718i 0.729132 0.265382i
\(386\) −1.35404 + 2.93515i −0.0689188 + 0.149395i
\(387\) 2.77419 + 8.93473i 0.141020 + 0.454178i
\(388\) 11.4781 + 13.4532i 0.582713 + 0.682982i
\(389\) −19.8343 16.6429i −1.00564 0.843830i −0.0178816 0.999840i \(-0.505692\pi\)
−0.987755 + 0.156010i \(0.950137\pi\)
\(390\) −1.58343 2.87312i −0.0801799 0.145486i
\(391\) 3.79754 0.669608i 0.192050 0.0338636i
\(392\) −6.41592 13.3279i −0.324053 0.673160i
\(393\) 11.8219 16.0493i 0.596337 0.809581i
\(394\) 16.2736 + 11.2956i 0.819851 + 0.569064i
\(395\) 9.57912 5.53051i 0.481978 0.278270i
\(396\) 28.4806 3.86075i 1.43120 0.194010i
\(397\) −3.38256 1.95292i −0.169766 0.0980145i 0.412709 0.910863i \(-0.364582\pi\)
−0.582476 + 0.812848i \(0.697916\pi\)
\(398\) −6.24573 13.2517i −0.313070 0.664247i
\(399\) 12.4905 + 6.19362i 0.625305 + 0.310069i
\(400\) 1.37202 2.46919i 0.0686011 0.123460i
\(401\) −5.64844 + 15.5190i −0.282070 + 0.774980i 0.715046 + 0.699078i \(0.246406\pi\)
−0.997115 + 0.0759022i \(0.975816\pi\)
\(402\) 11.7762 + 2.31896i 0.587345 + 0.115659i
\(403\) 1.05707 5.99492i 0.0526562 0.298628i
\(404\) 27.4562 5.07408i 1.36600 0.252445i
\(405\) −19.4043 9.25597i −0.964210 0.459933i
\(406\) 0.579845 + 6.32830i 0.0287772 + 0.314068i
\(407\) 6.96532 39.5023i 0.345258 1.95806i
\(408\) 0.0469962 4.02110i 0.00232666 0.199074i
\(409\) −27.3270 9.94621i −1.35123 0.491808i −0.437900 0.899024i \(-0.644278\pi\)
−0.913332 + 0.407215i \(0.866500\pi\)
\(410\) 10.1498 + 10.0668i 0.501262 + 0.497163i
\(411\) −13.0933 6.49253i −0.645843 0.320253i
\(412\) −15.5571 26.4419i −0.766445 1.30270i
\(413\) −4.18559 + 7.24966i −0.205959 + 0.356732i
\(414\) −16.8121 + 10.7041i −0.826269 + 0.526079i
\(415\) 19.5732 11.3006i 0.960810 0.554724i
\(416\) −0.757803 + 3.07970i −0.0371544 + 0.150995i
\(417\) −4.67820 3.44596i −0.229093 0.168749i
\(418\) −39.5421 + 10.7695i −1.93407 + 0.526752i
\(419\) −2.77065 + 0.488540i −0.135355 + 0.0238667i −0.240915 0.970546i \(-0.577448\pi\)
0.105560 + 0.994413i \(0.466336\pi\)
\(420\) 6.17189 + 9.11751i 0.301158 + 0.444889i
\(421\) 13.5423 16.1391i 0.660013 0.786573i −0.327375 0.944895i \(-0.606164\pi\)
0.987388 + 0.158322i \(0.0506084\pi\)
\(422\) 5.84496 + 8.27495i 0.284528 + 0.402818i
\(423\) 33.3271 + 7.54157i 1.62042 + 0.366684i
\(424\) −0.377934 + 1.48332i −0.0183541 + 0.0720362i
\(425\) −0.198264 0.544726i −0.00961722 0.0264231i
\(426\) 10.6730 1.66370i 0.517110 0.0806066i
\(427\) −9.00172 + 7.55334i −0.435624 + 0.365532i
\(428\) −5.61279 + 33.4349i −0.271304 + 1.61614i
\(429\) −3.36725 + 3.20935i −0.162572 + 0.154949i
\(430\) 0.875088 10.4986i 0.0422005 0.506287i
\(431\) −29.2337 −1.40814 −0.704070 0.710131i \(-0.748636\pi\)
−0.704070 + 0.710131i \(0.748636\pi\)
\(432\) 7.72377 + 19.2962i 0.371610 + 0.928389i
\(433\) −3.83819 −0.184451 −0.0922257 0.995738i \(-0.529398\pi\)
−0.0922257 + 0.995738i \(0.529398\pi\)
\(434\) −1.69704 + 20.3596i −0.0814603 + 0.977294i
\(435\) 3.29153 + 13.5800i 0.157817 + 0.651110i
\(436\) 2.85265 16.9930i 0.136617 0.813817i
\(437\) 21.7704 18.2675i 1.04142 0.873855i
\(438\) −0.630883 0.782983i −0.0301448 0.0374124i
\(439\) 1.73144 + 4.75709i 0.0826370 + 0.227043i 0.974129 0.225993i \(-0.0725628\pi\)
−0.891492 + 0.453037i \(0.850341\pi\)
\(440\) −31.3626 7.99088i −1.49515 0.380950i
\(441\) 15.5636 1.97976i 0.741126 0.0942741i
\(442\) 0.375500 + 0.531610i 0.0178607 + 0.0252861i
\(443\) 17.8169 21.2333i 0.846506 1.00883i −0.153281 0.988183i \(-0.548984\pi\)
0.999787 0.0206439i \(-0.00657164\pi\)
\(444\) 28.9334 2.07151i 1.37312 0.0983095i
\(445\) 23.5644 4.15504i 1.11706 0.196968i
\(446\) 12.8128 3.48961i 0.606702 0.165238i
\(447\) 3.28659 29.4149i 0.155450 1.39128i
\(448\) 1.58959 10.5249i 0.0751009 0.497255i
\(449\) −7.77540 + 4.48913i −0.366944 + 0.211855i −0.672122 0.740440i \(-0.734617\pi\)
0.305179 + 0.952295i \(0.401284\pi\)
\(450\) 2.02356 + 2.20952i 0.0953914 + 0.104158i
\(451\) 10.1351 17.5546i 0.477245 0.826613i
\(452\) −5.26998 8.95719i −0.247879 0.421311i
\(453\) −5.34139 + 3.55212i −0.250960 + 0.166893i
\(454\) 14.9972 + 14.8745i 0.703852 + 0.698096i
\(455\) −1.67449 0.609466i −0.0785015 0.0285722i
\(456\) −14.5176 25.8380i −0.679850 1.20997i
\(457\) 3.37381 19.1338i 0.157820 0.895042i −0.798342 0.602204i \(-0.794289\pi\)
0.956162 0.292838i \(-0.0945996\pi\)
\(458\) −1.20310 13.1304i −0.0562172 0.613542i
\(459\) 4.02987 + 1.39752i 0.188098 + 0.0652305i
\(460\) 22.0695 4.07858i 1.02900 0.190165i
\(461\) −3.92114 + 22.2379i −0.182626 + 1.03572i 0.746343 + 0.665562i \(0.231808\pi\)
−0.928968 + 0.370159i \(0.879303\pi\)
\(462\) 10.2710 11.7573i 0.477852 0.546999i
\(463\) −2.63844 + 7.24905i −0.122619 + 0.336892i −0.985781 0.168034i \(-0.946258\pi\)
0.863163 + 0.504926i \(0.168480\pi\)
\(464\) 6.56144 11.8084i 0.304607 0.548193i
\(465\) 2.84002 + 44.8329i 0.131703 + 2.07908i
\(466\) 9.60346 + 20.3759i 0.444872 + 0.943893i
\(467\) −5.54719 3.20267i −0.256694 0.148202i 0.366132 0.930563i \(-0.380682\pi\)
−0.622825 + 0.782361i \(0.714015\pi\)
\(468\) −2.84405 1.79656i −0.131466 0.0830458i
\(469\) 5.64609 3.25977i 0.260712 0.150522i
\(470\) −31.6094 21.9403i −1.45803 1.01203i
\(471\) −5.34993 12.2312i −0.246512 0.563582i
\(472\) 16.0342 7.71871i 0.738034 0.355283i
\(473\) −14.7112 + 2.59399i −0.676423 + 0.119272i
\(474\) 5.86542 9.70785i 0.269408 0.445896i
\(475\) −3.27272 2.74614i −0.150163 0.126001i
\(476\) −1.41777 1.66173i −0.0649835 0.0761653i
\(477\) −1.36547 0.878320i −0.0625204 0.0402155i
\(478\) −10.3324 + 22.3976i −0.472594 + 1.02444i
\(479\) −21.6559 + 7.88212i −0.989485 + 0.360143i −0.785521 0.618835i \(-0.787605\pi\)
−0.203964 + 0.978978i \(0.565383\pi\)
\(480\) 0.0813390 23.4049i 0.00371260 1.06828i
\(481\) −3.59644 + 3.01777i −0.163983 + 0.137598i
\(482\) −36.8368 9.70848i −1.67787 0.442209i
\(483\) −3.05216 + 10.3868i −0.138878 + 0.472618i
\(484\) 0.196186 + 23.8908i 0.00891753 + 1.08595i
\(485\) 21.1218 0.959093
\(486\) −22.0075 + 1.29151i −0.998282 + 0.0585840i
\(487\) 13.8956i 0.629672i −0.949146 0.314836i \(-0.898051\pi\)
0.949146 0.314836i \(-0.101949\pi\)
\(488\) 24.8562 2.48349i 1.12519 0.112422i
\(489\) 33.4822 + 9.83868i 1.51412 + 0.444920i
\(490\) −17.0837 4.50246i −0.771762 0.203400i
\(491\) −8.62398 10.2777i −0.389195 0.463824i 0.535499 0.844536i \(-0.320124\pi\)
−0.924694 + 0.380711i \(0.875679\pi\)
\(492\) 14.0976 + 4.01711i 0.635571 + 0.181105i
\(493\) −0.948162 2.60505i −0.0427031 0.117326i
\(494\) 4.35560 + 2.00932i 0.195968 + 0.0904035i
\(495\) 18.5708 28.8708i 0.834696 1.29765i
\(496\) 27.3663 33.7235i 1.22878 1.51423i
\(497\) 3.77154 4.49474i 0.169177 0.201617i
\(498\) 11.9849 19.8362i 0.537057 0.888883i
\(499\) 4.93870 + 28.0088i 0.221087 + 1.25384i 0.870027 + 0.493005i \(0.164102\pi\)
−0.648940 + 0.760840i \(0.724787\pi\)
\(500\) 7.17418 + 19.2184i 0.320839 + 0.859472i
\(501\) −24.2791 + 10.6197i −1.08471 + 0.474454i
\(502\) −10.8373 + 15.6134i −0.483694 + 0.696858i
\(503\) −0.398330 0.689928i −0.0177607 0.0307624i 0.857008 0.515302i \(-0.172320\pi\)
−0.874769 + 0.484540i \(0.838987\pi\)
\(504\) 10.0554 + 5.13342i 0.447903 + 0.228661i
\(505\) 16.6743 28.8807i 0.741995 1.28517i
\(506\) −13.5675 28.7865i −0.603150 1.27971i
\(507\) −21.9283 + 1.38908i −0.973868 + 0.0616914i
\(508\) 7.13128 + 5.88475i 0.316400 + 0.261093i
\(509\) −1.21052 0.440593i −0.0536553 0.0195289i 0.315053 0.949074i \(-0.397978\pi\)
−0.368708 + 0.929545i \(0.620200\pi\)
\(510\) −3.61720 3.15994i −0.160172 0.139925i
\(511\) −0.537890 0.0948445i −0.0237948 0.00419567i
\(512\) −15.3980 + 16.5802i −0.680501 + 0.732747i
\(513\) 30.8705 5.93019i 1.36297 0.261824i
\(514\) 3.58372 + 39.1119i 0.158071 + 1.72515i
\(515\) −36.0857 6.36289i −1.59013 0.280382i
\(516\) −4.41028 9.86154i −0.194152 0.434130i
\(517\) −18.6605 + 51.2693i −0.820689 + 2.25482i
\(518\) 11.0957 11.1872i 0.487517 0.491536i
\(519\) 5.89488 + 8.86422i 0.258756 + 0.389096i
\(520\) 2.21080 + 3.07600i 0.0969500 + 0.134892i
\(521\) 20.9324 + 12.0854i 0.917067 + 0.529469i 0.882698 0.469940i \(-0.155725\pi\)
0.0343687 + 0.999409i \(0.489058\pi\)
\(522\) 9.67729 + 10.5666i 0.423563 + 0.462488i
\(523\) −4.01413 6.95268i −0.175526 0.304019i 0.764817 0.644247i \(-0.222829\pi\)
−0.940343 + 0.340228i \(0.889496\pi\)
\(524\) −11.3444 + 20.0272i −0.495585 + 0.874891i
\(525\) 1.61739 + 0.180715i 0.0705889 + 0.00788705i
\(526\) 1.08736 + 3.99244i 0.0474111 + 0.174079i
\(527\) −1.54765 8.77715i −0.0674166 0.382338i
\(528\) −32.1207 + 8.34625i −1.39787 + 0.363224i
\(529\) −0.713930 0.599059i −0.0310404 0.0260460i
\(530\) 1.05478 + 1.49329i 0.0458167 + 0.0648646i
\(531\) 2.38176 + 18.7239i 0.103359 + 0.812549i
\(532\) −15.1724 5.38162i −0.657806 0.233323i
\(533\) −2.22943 + 0.811445i −0.0965671 + 0.0351476i
\(534\) 19.1059 15.3945i 0.826794 0.666183i
\(535\) 26.0283 + 31.0193i 1.12530 + 1.34108i
\(536\) −13.8203 1.03776i −0.596944 0.0448244i
\(537\) −29.3151 + 7.10543i −1.26504 + 0.306622i
\(538\) −2.27645 + 27.3110i −0.0981449 + 1.17746i
\(539\) 25.0511i 1.07903i
\(540\) 23.5204 + 7.94089i 1.01216 + 0.341722i
\(541\) 1.64488i 0.0707187i −0.999375 0.0353594i \(-0.988742\pi\)
0.999375 0.0353594i \(-0.0112576\pi\)
\(542\) 35.5844 + 2.96606i 1.52848 + 0.127403i
\(543\) 28.5223 + 29.9255i 1.22401 + 1.28423i
\(544\) 0.499577 + 4.61653i 0.0214192 + 0.197932i
\(545\) −13.2287 15.7653i −0.566653 0.675311i
\(546\) −1.80546 + 0.281433i −0.0772664 + 0.0120442i
\(547\) 35.6199 12.9646i 1.52300 0.554325i 0.561102 0.827747i \(-0.310378\pi\)
0.961894 + 0.273422i \(0.0881555\pi\)
\(548\) 15.9046 + 5.64135i 0.679412 + 0.240986i
\(549\) −5.84773 + 25.8418i −0.249575 + 1.10290i
\(550\) −3.90752 + 2.76005i −0.166617 + 0.117689i
\(551\) −15.6512 13.1329i −0.666762 0.559480i
\(552\) 17.8012 14.5859i 0.757671 0.620818i
\(553\) −1.06984 6.06734i −0.0454941 0.258010i
\(554\) 32.3572 8.81263i 1.37473 0.374413i
\(555\) 20.5476 27.8952i 0.872196 1.18408i
\(556\) 5.83771 + 3.30679i 0.247574 + 0.140239i
\(557\) −3.28402 5.68809i −0.139148 0.241012i 0.788026 0.615642i \(-0.211103\pi\)
−0.927174 + 0.374630i \(0.877770\pi\)
\(558\) 24.7401 + 38.8573i 1.04733 + 1.64496i
\(559\) 1.51417 + 0.874209i 0.0640427 + 0.0369751i
\(560\) −8.33080 9.60345i −0.352040 0.405820i
\(561\) −3.02558 + 6.10158i −0.127740 + 0.257609i
\(562\) 13.3711 + 13.2617i 0.564026 + 0.559413i
\(563\) −3.45245 + 9.48552i −0.145503 + 0.399767i −0.990939 0.134309i \(-0.957118\pi\)
0.845436 + 0.534077i \(0.179341\pi\)
\(564\) −39.2465 4.05909i −1.65257 0.170918i
\(565\) −12.2240 2.15543i −0.514269 0.0906795i
\(566\) 16.9769 1.55555i 0.713593 0.0653847i
\(567\) −8.54123 + 8.39304i −0.358698 + 0.352475i
\(568\) −12.0073 + 3.37640i −0.503815 + 0.141670i
\(569\) −21.9875 3.87699i −0.921765 0.162532i −0.307424 0.951573i \(-0.599467\pi\)
−0.614341 + 0.789041i \(0.710578\pi\)
\(570\) −34.7311 6.83922i −1.45473 0.286463i
\(571\) −16.6507 6.06035i −0.696809 0.253618i −0.0307612 0.999527i \(-0.509793\pi\)
−0.666048 + 0.745909i \(0.732015\pi\)
\(572\) 3.41871 4.14288i 0.142944 0.173223i
\(573\) 3.32999 6.71548i 0.139112 0.280543i
\(574\) 7.20258 3.39469i 0.300630 0.141692i
\(575\) 1.65873 2.87300i 0.0691738 0.119813i
\(576\) −11.5110 21.0594i −0.479623 0.877475i
\(577\) 5.85438 + 10.1401i 0.243721 + 0.422137i 0.961771 0.273854i \(-0.0882986\pi\)
−0.718050 + 0.695991i \(0.754965\pi\)
\(578\) −18.9674 13.1654i −0.788939 0.547608i
\(579\) 3.18749 + 2.34791i 0.132468 + 0.0975757i
\(580\) −5.64276 15.1160i −0.234303 0.627657i
\(581\) −2.18602 12.3975i −0.0906913 0.514336i
\(582\) 18.9688 10.4540i 0.786283 0.433334i
\(583\) 1.66635 1.98588i 0.0690131 0.0822466i
\(584\) 0.831056 + 0.810831i 0.0343893 + 0.0335524i
\(585\) −3.83714 + 1.19141i −0.158646 + 0.0492589i
\(586\) 3.78386 8.20228i 0.156310 0.338833i
\(587\) 2.01611 + 5.53922i 0.0832138 + 0.228628i 0.974320 0.225166i \(-0.0722924\pi\)
−0.891107 + 0.453794i \(0.850070\pi\)
\(588\) −17.5707 + 4.41188i −0.724604 + 0.181943i
\(589\) −42.2213 50.3174i −1.73970 2.07329i
\(590\) 5.41671 20.5526i 0.223002 0.846138i
\(591\) 17.5624 16.7389i 0.722422 0.688546i
\(592\) −32.8861 + 6.35726i −1.35161 + 0.261282i
\(593\) 5.17543i 0.212530i −0.994338 0.106265i \(-0.966111\pi\)
0.994338 0.106265i \(-0.0338891\pi\)
\(594\) 2.38852 35.1194i 0.0980021 1.44096i
\(595\) −2.60896 −0.106957
\(596\) 0.280642 + 34.1756i 0.0114955 + 1.39989i
\(597\) −17.4374 + 4.22649i −0.713664 + 0.172979i
\(598\) −0.949254 + 3.60175i −0.0388179 + 0.147287i
\(599\) −3.88449 + 3.25948i −0.158716 + 0.133179i −0.718687 0.695334i \(-0.755257\pi\)
0.559971 + 0.828512i \(0.310812\pi\)
\(600\) −2.62406 2.25463i −0.107127 0.0920447i
\(601\) 2.56491 0.933552i 0.104625 0.0380804i −0.289177 0.957276i \(-0.593382\pi\)
0.393802 + 0.919195i \(0.371159\pi\)
\(602\) −5.32831 2.45805i −0.217166 0.100183i
\(603\) 5.68476 13.5562i 0.231501 0.552049i
\(604\) 5.63482 4.80757i 0.229278 0.195617i
\(605\) 21.8596 + 18.3424i 0.888720 + 0.745725i
\(606\) 0.680408 34.1895i 0.0276397 1.38885i
\(607\) −32.1776 + 5.67378i −1.30605 + 0.230292i −0.783006 0.622015i \(-0.786314\pi\)
−0.523043 + 0.852306i \(0.675203\pi\)
\(608\) 20.2003 + 27.6242i 0.819229 + 1.12031i
\(609\) 7.73489 + 0.864236i 0.313433 + 0.0350206i
\(610\) 17.0125 24.5099i 0.688816 0.992378i
\(611\) 5.53032 3.19293i 0.223733 0.129172i
\(612\) −4.81247 1.04754i −0.194532 0.0423445i
\(613\) 28.4007 + 16.3971i 1.14709 + 0.662274i 0.948177 0.317743i \(-0.102925\pi\)
0.198915 + 0.980017i \(0.436258\pi\)
\(614\) −19.3630 + 9.12611i −0.781429 + 0.368300i
\(615\) 14.5788 9.69517i 0.587874 0.390947i
\(616\) −10.1572 + 14.8931i −0.409244 + 0.600058i
\(617\) −9.77386 + 26.8534i −0.393481 + 1.08108i 0.571920 + 0.820309i \(0.306199\pi\)
−0.965401 + 0.260770i \(0.916024\pi\)
\(618\) −35.5567 + 12.1460i −1.43030 + 0.488583i
\(619\) −1.65174 + 9.36748i −0.0663890 + 0.376511i 0.933452 + 0.358701i \(0.116780\pi\)
−0.999841 + 0.0178096i \(0.994331\pi\)
\(620\) −9.42672 51.0086i −0.378586 2.04856i
\(621\) 8.69753 + 22.8077i 0.349020 + 0.915240i
\(622\) −8.51390 + 0.780107i −0.341376 + 0.0312794i
\(623\) 2.31434 13.1253i 0.0927221 0.525853i
\(624\) 3.50788 + 1.66824i 0.140428 + 0.0667832i
\(625\) 26.3417 + 9.58760i 1.05367 + 0.383504i
\(626\) −11.4755 + 11.5701i −0.458652 + 0.462434i
\(627\) 3.17320 + 50.0926i 0.126726 + 2.00051i
\(628\) 7.81701 + 13.2863i 0.311932 + 0.530181i
\(629\) −3.43683 + 5.95276i −0.137035 + 0.237352i
\(630\) 12.4595 5.15694i 0.496396 0.205457i
\(631\) −19.9443 + 11.5149i −0.793970 + 0.458399i −0.841358 0.540477i \(-0.818244\pi\)
0.0473880 + 0.998877i \(0.484910\pi\)
\(632\) −5.38834 + 11.9370i −0.214337 + 0.474830i
\(633\) 11.3681 4.97241i 0.451840 0.197636i
\(634\) −4.74121 17.4082i −0.188298 0.691369i
\(635\) 10.8753 1.91761i 0.431573 0.0760979i
\(636\) 1.68635 + 0.819026i 0.0668683 + 0.0324765i
\(637\) 1.88470 2.24610i 0.0746745 0.0889936i
\(638\) −18.6870 + 13.1994i −0.739824 + 0.522571i
\(639\) 0.634889 13.2144i 0.0251158 0.522752i
\(640\) 3.12815 + 26.8441i 0.123651 + 1.06111i
\(641\) 2.38888 + 6.56340i 0.0943552 + 0.259239i 0.977888 0.209131i \(-0.0670636\pi\)
−0.883532 + 0.468370i \(0.844841\pi\)
\(642\) 38.7278 + 14.9750i 1.52846 + 0.591015i
\(643\) 8.55274 7.17660i 0.337287 0.283018i −0.458374 0.888759i \(-0.651568\pi\)
0.795661 + 0.605742i \(0.207124\pi\)
\(644\) 2.06958 12.3283i 0.0815527 0.485802i
\(645\) −12.3793 3.63763i −0.487434 0.143232i
\(646\) 6.99860 + 0.583354i 0.275356 + 0.0229518i
\(647\) 2.90752 0.114306 0.0571532 0.998365i \(-0.481798\pi\)
0.0571532 + 0.998365i \(0.481798\pi\)
\(648\) 25.0532 4.50975i 0.984182 0.177160i
\(649\) −30.1379 −1.18302
\(650\) 0.558000 + 0.0465109i 0.0218866 + 0.00182431i
\(651\) 24.0068 + 7.05437i 0.940902 + 0.276483i
\(652\) −39.7404 6.67131i −1.55635 0.261269i
\(653\) −11.8399 + 9.93486i −0.463331 + 0.388781i −0.844355 0.535784i \(-0.820016\pi\)
0.381024 + 0.924565i \(0.375572\pi\)
\(654\) −19.6831 7.61090i −0.769670 0.297610i
\(655\) 9.40252 + 25.8332i 0.367387 + 1.00939i
\(656\) −16.7154 2.66511i −0.652627 0.104055i
\(657\) −1.09484 + 0.563863i −0.0427137 + 0.0219984i
\(658\) −17.5054 + 12.3648i −0.682430 + 0.482031i
\(659\) −3.67612 + 4.38103i −0.143201 + 0.170661i −0.832878 0.553457i \(-0.813308\pi\)
0.689676 + 0.724118i \(0.257753\pi\)
\(660\) −17.3171 + 35.6555i −0.674068 + 1.38789i
\(661\) 22.9903 4.05381i 0.894220 0.157675i 0.292390 0.956299i \(-0.405550\pi\)
0.601830 + 0.798624i \(0.294438\pi\)
\(662\) −3.25626 11.9560i −0.126558 0.464682i
\(663\) 0.730322 0.319444i 0.0283634 0.0124062i
\(664\) −11.0101 + 24.3912i −0.427275 + 0.946562i
\(665\) −16.6518 + 9.61390i −0.645728 + 0.372811i
\(666\) 4.64666 35.2216i 0.180054 1.36481i
\(667\) 7.93256 13.7396i 0.307150 0.532000i
\(668\) 26.3735 15.5169i 1.02042 0.600367i
\(669\) −1.02821 16.2314i −0.0397528 0.627543i
\(670\) −11.6567 + 11.7528i −0.450337 + 0.454050i
\(671\) −39.7543 14.4694i −1.53470 0.558584i
\(672\) −12.2347 4.50129i −0.471965 0.173641i
\(673\) 5.99277 33.9867i 0.231004 1.31009i −0.619863 0.784710i \(-0.712812\pi\)
0.850867 0.525381i \(-0.176077\pi\)
\(674\) −17.0965 + 1.56651i −0.658533 + 0.0603397i
\(675\) 3.14951 1.88300i 0.121225 0.0724768i
\(676\) 24.9489 4.61071i 0.959571 0.177335i
\(677\) −5.44766 + 30.8952i −0.209370 + 1.18740i 0.681042 + 0.732244i \(0.261527\pi\)
−0.890412 + 0.455155i \(0.849584\pi\)
\(678\) −12.0448 + 4.11444i −0.462578 + 0.158014i
\(679\) 4.02379 11.0553i 0.154419 0.424263i
\(680\) 4.58193 + 3.12491i 0.175709 + 0.119835i
\(681\) 21.5414 14.3254i 0.825468 0.548952i
\(682\) −66.5334 + 31.3582i −2.54769 + 1.20077i
\(683\) 7.51680 + 4.33983i 0.287622 + 0.166059i 0.636869 0.770972i \(-0.280229\pi\)
−0.349247 + 0.937031i \(0.613562\pi\)
\(684\) −34.5759 + 11.0477i −1.32204 + 0.422421i
\(685\) 17.4554 10.0779i 0.666937 0.385056i
\(686\) −13.1217 + 18.9044i −0.500988 + 0.721774i
\(687\) −16.0489 1.79317i −0.612302 0.0684138i
\(688\) 6.41357 + 10.6989i 0.244515 + 0.407893i
\(689\) −0.298812 + 0.0526885i −0.0113838 + 0.00200727i
\(690\) 0.546917 27.4818i 0.0208208 1.04621i
\(691\) 20.4210 + 17.1353i 0.776853 + 0.651857i 0.942454 0.334336i \(-0.108512\pi\)
−0.165601 + 0.986193i \(0.552956\pi\)
\(692\) −7.97834 9.35119i −0.303291 0.355479i
\(693\) −11.5733 15.2201i −0.439634 0.578163i
\(694\) −11.8262 5.45562i −0.448915 0.207093i
\(695\) 7.53011 2.74074i 0.285633 0.103962i
\(696\) −12.5491 10.7823i −0.475671 0.408703i
\(697\) −2.66091 + 2.23277i −0.100789 + 0.0845723i
\(698\) −4.90071 + 18.5948i −0.185495 + 0.703822i
\(699\) 26.8118 6.49866i 1.01411 0.245802i
\(700\) −1.87916 + 0.0154312i −0.0710257 + 0.000583246i
\(701\) −2.75968 −0.104232 −0.0521159 0.998641i \(-0.516597\pi\)
−0.0521159 + 0.998641i \(0.516597\pi\)
\(702\) −2.85633 + 2.96912i −0.107805 + 0.112062i
\(703\) 50.6582i 1.91061i
\(704\) 35.6766 13.9897i 1.34461 0.527258i
\(705\) −34.1128 + 32.5132i −1.28476 + 1.22452i
\(706\) 7.93447 30.1057i 0.298618 1.13304i
\(707\) −11.9398 14.2293i −0.449042 0.535147i
\(708\) −5.30774 21.1386i −0.199477 0.794436i
\(709\) 1.60307 + 4.40439i 0.0602044 + 0.165410i 0.966148 0.257988i \(-0.0830594\pi\)
−0.905944 + 0.423398i \(0.860837\pi\)
\(710\) −6.24047 + 13.5275i −0.234201 + 0.507677i
\(711\) −10.2006 9.42955i −0.382552 0.353636i
\(712\) −19.7854 + 20.2790i −0.741491 + 0.759986i
\(713\) 32.7855 39.0723i 1.22783 1.46327i
\(714\) −2.34302 + 1.29128i −0.0876854 + 0.0483249i
\(715\) −1.11402 6.31794i −0.0416621 0.236278i
\(716\) 32.6309 12.1810i 1.21947 0.455226i
\(717\) 24.3232 + 17.9164i 0.908366 + 0.669102i
\(718\) −8.90422 6.18047i −0.332302 0.230653i
\(719\) −12.9939 22.5060i −0.484589 0.839333i 0.515254 0.857037i \(-0.327697\pi\)
−0.999843 + 0.0177047i \(0.994364\pi\)
\(720\) −28.0584 5.86667i −1.04568 0.218638i
\(721\) −10.2048 + 17.6753i −0.380048 + 0.658263i
\(722\) 22.5127 10.6106i 0.837836 0.394885i
\(723\) −20.7271 + 41.7995i −0.770847 + 1.55454i
\(724\) −36.8188 30.3829i −1.36836 1.12917i
\(725\) −2.24115 0.815713i −0.0832343 0.0302948i
\(726\) 28.7098 + 5.65351i 1.06552 + 0.209821i
\(727\) −1.66409 0.293423i −0.0617175 0.0108825i 0.142704 0.989765i \(-0.454420\pi\)
−0.204422 + 0.978883i \(0.565531\pi\)
\(728\) 2.03116 0.571153i 0.0752799 0.0211684i
\(729\) −3.87526 + 26.7204i −0.143528 + 0.989646i
\(730\) 1.38099 0.126536i 0.0511126 0.00468331i
\(731\) 2.52096 + 0.444514i 0.0932411 + 0.0164409i
\(732\) 3.14742 30.4317i 0.116332 1.12479i
\(733\) 2.90306 7.97608i 0.107227 0.294603i −0.874462 0.485094i \(-0.838786\pi\)
0.981689 + 0.190490i \(0.0610078\pi\)
\(734\) −30.3493 30.1011i −1.12021 1.11105i
\(735\) −9.61250 + 19.3852i −0.354562 + 0.715034i
\(736\) −18.4010 + 19.1724i −0.678269 + 0.706705i
\(737\) 20.3270 + 11.7358i 0.748756 + 0.432295i
\(738\) 8.29420 15.9225i 0.305314 0.586117i
\(739\) −25.0132 43.3241i −0.920125 1.59370i −0.799219 0.601040i \(-0.794753\pi\)
−0.120907 0.992664i \(-0.538580\pi\)
\(740\) −19.7177 + 34.8091i −0.724837 + 1.27961i
\(741\) 3.48416 4.73006i 0.127994 0.173763i
\(742\) 0.982538 0.267599i 0.0360701 0.00982386i
\(743\) 3.59368 + 20.3808i 0.131839 + 0.747699i 0.977009 + 0.213200i \(0.0683885\pi\)
−0.845169 + 0.534499i \(0.820500\pi\)
\(744\) −33.7120 41.1435i −1.23594 1.50839i
\(745\) 31.2700 + 26.2386i 1.14564 + 0.961310i
\(746\) 43.2302 30.5354i 1.58277 1.11798i
\(747\) −20.8430 19.2676i −0.762607 0.704963i
\(748\) 2.62892 7.41170i 0.0961227 0.270999i
\(749\) 21.1942 7.71404i 0.774418 0.281865i
\(750\) 24.8244 3.86960i 0.906458 0.141298i
\(751\) 29.7395 + 35.4421i 1.08521 + 1.29330i 0.953295 + 0.302039i \(0.0976674\pi\)
0.131913 + 0.991261i \(0.457888\pi\)
\(752\) 45.5535 0.748199i 1.66116 0.0272840i
\(753\) 16.0598 + 16.8499i 0.585252 + 0.614045i
\(754\) 2.66853 + 0.222430i 0.0971822 + 0.00810042i
\(755\) 8.84681i 0.321969i
\(756\) 8.63704 10.7980i 0.314126 0.392718i
\(757\) 3.04806i 0.110784i 0.998465 + 0.0553919i \(0.0176408\pi\)
−0.998465 + 0.0553919i \(0.982359\pi\)
\(758\) 1.95493 23.4536i 0.0710061 0.851874i
\(759\) −37.8789 + 9.18114i −1.37492 + 0.333254i
\(760\) 40.7594 + 3.06062i 1.47850 + 0.111020i
\(761\) −21.3392 25.4310i −0.773544 0.921873i 0.225079 0.974341i \(-0.427736\pi\)
−0.998623 + 0.0524671i \(0.983292\pi\)
\(762\) 8.81764 7.10475i 0.319429 0.257378i
\(763\) −10.7718 + 3.92060i −0.389964 + 0.141935i
\(764\) −2.89342 + 8.15742i −0.104680 + 0.295125i
\(765\) −4.68254 + 3.56060i −0.169298 + 0.128734i
\(766\) 18.1877 + 25.7491i 0.657149 + 0.930353i
\(767\) 2.70218 + 2.26740i 0.0975701 + 0.0818710i
\(768\) 16.0955 + 22.5596i 0.580797 + 0.814048i
\(769\) 2.85202 + 16.1746i 0.102847 + 0.583272i 0.992059 + 0.125777i \(0.0401423\pi\)
−0.889212 + 0.457495i \(0.848747\pi\)
\(770\) 5.65799 + 20.7744i 0.203900 + 0.748656i
\(771\) 47.8053 + 5.34139i 1.72166 + 0.192365i
\(772\) −3.97752 2.25308i −0.143154 0.0810901i