Properties

Label 65.2.o.a.2.1
Level $65$
Weight $2$
Character 65.2
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.1
Root \(2.64975i\) of defining polynomial
Character \(\chi\) \(=\) 65.2
Dual form 65.2.o.a.33.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32488 - 2.29475i) q^{2} +(-1.25278 - 0.335680i) q^{3} +(-2.51060 + 4.34849i) q^{4} +(-1.30391 - 1.81654i) q^{5} +(0.889471 + 3.31955i) q^{6} +(0.0972962 + 0.0561740i) q^{7} +8.00544 q^{8} +(-1.14131 - 0.658935i) q^{9} +O(q^{10})\) \(q+(-1.32488 - 2.29475i) q^{2} +(-1.25278 - 0.335680i) q^{3} +(-2.51060 + 4.34849i) q^{4} +(-1.30391 - 1.81654i) q^{5} +(0.889471 + 3.31955i) q^{6} +(0.0972962 + 0.0561740i) q^{7} +8.00544 q^{8} +(-1.14131 - 0.658935i) q^{9} +(-2.44100 + 5.39885i) q^{10} +(0.479564 - 1.78976i) q^{11} +(4.60492 - 4.60492i) q^{12} +(-2.05471 - 2.96279i) q^{13} -0.297695i q^{14} +(1.02373 + 2.71342i) q^{15} +(-5.58502 - 9.67354i) q^{16} +(-0.706500 - 2.63669i) q^{17} +3.49203i q^{18} +(6.72284 - 1.80138i) q^{19} +(11.1728 - 1.10942i) q^{20} +(-0.103034 - 0.103034i) q^{21} +(-4.74241 + 1.27073i) q^{22} +(-0.831519 + 3.10327i) q^{23} +(-10.0290 - 2.68727i) q^{24} +(-1.59964 + 4.73721i) q^{25} +(-4.07664 + 8.64040i) q^{26} +(3.95990 + 3.95990i) q^{27} +(-0.488544 + 0.282061i) q^{28} +(4.03134 - 2.32749i) q^{29} +(4.87031 - 5.94415i) q^{30} +(-0.624367 + 0.624367i) q^{31} +(-6.79350 + 11.7667i) q^{32} +(-1.20157 + 2.08118i) q^{33} +(-5.11454 + 5.11454i) q^{34} +(-0.0248231 - 0.249988i) q^{35} +(5.73074 - 3.30864i) q^{36} +(1.27728 - 0.737435i) q^{37} +(-13.0407 - 13.0407i) q^{38} +(1.57955 + 4.40145i) q^{39} +(-10.4384 - 14.5422i) q^{40} +(-5.24069 - 1.40424i) q^{41} +(-0.0999302 + 0.372945i) q^{42} +(3.76415 - 1.00860i) q^{43} +(6.57874 + 6.57874i) q^{44} +(0.291181 + 2.93243i) q^{45} +(8.22291 - 2.20332i) q^{46} -0.345095i q^{47} +(3.74956 + 13.9936i) q^{48} +(-3.49369 - 6.05125i) q^{49} +(12.9901 - 2.60544i) q^{50} +3.54034i q^{51} +(18.0422 - 1.49651i) q^{52} +(-3.59144 + 3.59144i) q^{53} +(3.84062 - 14.3334i) q^{54} +(-3.87647 + 1.46253i) q^{55} +(0.778898 + 0.449697i) q^{56} -9.02691 q^{57} +(-10.6821 - 6.16729i) q^{58} +(-0.332494 - 1.24088i) q^{59} +(-14.3694 - 2.36063i) q^{60} +(1.39151 - 2.41016i) q^{61} +(2.25998 + 0.605559i) q^{62} +(-0.0740300 - 0.128224i) q^{63} +13.6621 q^{64} +(-2.70287 + 7.59569i) q^{65} +6.36774 q^{66} +(0.0721643 + 0.124992i) q^{67} +(13.2394 + 3.54747i) q^{68} +(2.08342 - 3.60858i) q^{69} +(-0.540774 + 0.388167i) q^{70} +(-1.41668 - 5.28713i) q^{71} +(-9.13667 - 5.27506i) q^{72} +9.06221 q^{73} +(-3.38447 - 1.95402i) q^{74} +(3.59418 - 5.39770i) q^{75} +(-9.04509 + 33.7567i) q^{76} +(0.147197 - 0.147197i) q^{77} +(8.00753 - 9.45605i) q^{78} +15.1689i q^{79} +(-10.2900 + 22.7588i) q^{80} +(-1.65480 - 2.86620i) q^{81} +(3.72089 + 13.8865i) q^{82} -8.53853i q^{83} +(0.706718 - 0.189365i) q^{84} +(-3.86845 + 4.72139i) q^{85} +(-7.30152 - 7.30152i) q^{86} +(-5.83166 + 1.56259i) q^{87} +(3.83912 - 14.3278i) q^{88} +(-0.549735 - 0.147301i) q^{89} +(6.34342 - 4.55329i) q^{90} +(-0.0334840 - 0.403690i) q^{91} +(-11.4069 - 11.4069i) q^{92} +(0.991779 - 0.572604i) q^{93} +(-0.791908 + 0.457208i) q^{94} +(-12.0383 - 9.86348i) q^{95} +(12.4606 - 12.4606i) q^{96} +(7.48223 - 12.9596i) q^{97} +(-9.25742 + 16.0343i) q^{98} +(-1.72666 + 1.72666i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32488 2.29475i −0.936830 1.62264i −0.771338 0.636425i \(-0.780412\pi\)
−0.165491 0.986211i \(-0.552921\pi\)
\(3\) −1.25278 0.335680i −0.723291 0.193805i −0.121651 0.992573i \(-0.538819\pi\)
−0.601640 + 0.798768i \(0.705486\pi\)
\(4\) −2.51060 + 4.34849i −1.25530 + 2.17424i
\(5\) −1.30391 1.81654i −0.583126 0.812382i
\(6\) 0.889471 + 3.31955i 0.363125 + 1.35520i
\(7\) 0.0972962 + 0.0561740i 0.0367745 + 0.0212318i 0.518275 0.855214i \(-0.326575\pi\)
−0.481500 + 0.876446i \(0.659908\pi\)
\(8\) 8.00544 2.83035
\(9\) −1.14131 0.658935i −0.380436 0.219645i
\(10\) −2.44100 + 5.39885i −0.771911 + 1.70726i
\(11\) 0.479564 1.78976i 0.144594 0.539632i −0.855179 0.518332i \(-0.826553\pi\)
0.999773 0.0212994i \(-0.00678031\pi\)
\(12\) 4.60492 4.60492i 1.32933 1.32933i
\(13\) −2.05471 2.96279i −0.569875 0.821731i
\(14\) 0.297695i 0.0795622i
\(15\) 1.02373 + 2.71342i 0.264326 + 0.700601i
\(16\) −5.58502 9.67354i −1.39626 2.41838i
\(17\) −0.706500 2.63669i −0.171351 0.639492i −0.997144 0.0755186i \(-0.975939\pi\)
0.825793 0.563973i \(-0.190728\pi\)
\(18\) 3.49203i 0.823080i
\(19\) 6.72284 1.80138i 1.54233 0.413265i 0.615309 0.788286i \(-0.289031\pi\)
0.927016 + 0.375021i \(0.122364\pi\)
\(20\) 11.1728 1.10942i 2.49831 0.248075i
\(21\) −0.103034 0.103034i −0.0224838 0.0224838i
\(22\) −4.74241 + 1.27073i −1.01109 + 0.270920i
\(23\) −0.831519 + 3.10327i −0.173384 + 0.647077i 0.823438 + 0.567407i \(0.192053\pi\)
−0.996821 + 0.0796701i \(0.974613\pi\)
\(24\) −10.0290 2.68727i −2.04717 0.548536i
\(25\) −1.59964 + 4.73721i −0.319928 + 0.947442i
\(26\) −4.07664 + 8.64040i −0.799495 + 1.69452i
\(27\) 3.95990 + 3.95990i 0.762083 + 0.762083i
\(28\) −0.488544 + 0.282061i −0.0923261 + 0.0533045i
\(29\) 4.03134 2.32749i 0.748601 0.432205i −0.0765874 0.997063i \(-0.524402\pi\)
0.825188 + 0.564858i \(0.191069\pi\)
\(30\) 4.87031 5.94415i 0.889193 1.08525i
\(31\) −0.624367 + 0.624367i −0.112140 + 0.112140i −0.760950 0.648810i \(-0.775267\pi\)
0.648810 + 0.760950i \(0.275267\pi\)
\(32\) −6.79350 + 11.7667i −1.20093 + 2.08008i
\(33\) −1.20157 + 2.08118i −0.209167 + 0.362288i
\(34\) −5.11454 + 5.11454i −0.877136 + 0.877136i
\(35\) −0.0248231 0.249988i −0.00419587 0.0422557i
\(36\) 5.73074 3.30864i 0.955123 0.551441i
\(37\) 1.27728 0.737435i 0.209983 0.121234i −0.391321 0.920254i \(-0.627982\pi\)
0.601303 + 0.799021i \(0.294648\pi\)
\(38\) −13.0407 13.0407i −2.11548 2.11548i
\(39\) 1.57955 + 4.40145i 0.252930 + 0.704795i
\(40\) −10.4384 14.5422i −1.65045 2.29932i
\(41\) −5.24069 1.40424i −0.818458 0.219305i −0.174786 0.984606i \(-0.555923\pi\)
−0.643672 + 0.765301i \(0.722590\pi\)
\(42\) −0.0999302 + 0.372945i −0.0154196 + 0.0575466i
\(43\) 3.76415 1.00860i 0.574027 0.153810i 0.0398840 0.999204i \(-0.487301\pi\)
0.534143 + 0.845394i \(0.320634\pi\)
\(44\) 6.57874 + 6.57874i 0.991782 + 0.991782i
\(45\) 0.291181 + 2.93243i 0.0434067 + 0.437140i
\(46\) 8.22291 2.20332i 1.21240 0.324862i
\(47\) 0.345095i 0.0503372i −0.999683 0.0251686i \(-0.991988\pi\)
0.999683 0.0251686i \(-0.00801227\pi\)
\(48\) 3.74956 + 13.9936i 0.541203 + 2.01980i
\(49\) −3.49369 6.05125i −0.499098 0.864464i
\(50\) 12.9901 2.60544i 1.83707 0.368464i
\(51\) 3.54034i 0.495747i
\(52\) 18.0422 1.49651i 2.50201 0.207528i
\(53\) −3.59144 + 3.59144i −0.493322 + 0.493322i −0.909351 0.416029i \(-0.863421\pi\)
0.416029 + 0.909351i \(0.363421\pi\)
\(54\) 3.84062 14.3334i 0.522642 1.95053i
\(55\) −3.87647 + 1.46253i −0.522703 + 0.197208i
\(56\) 0.778898 + 0.449697i 0.104085 + 0.0600933i
\(57\) −9.02691 −1.19564
\(58\) −10.6821 6.16729i −1.40262 0.809805i
\(59\) −0.332494 1.24088i −0.0432870 0.161549i 0.940899 0.338687i \(-0.109983\pi\)
−0.984186 + 0.177138i \(0.943316\pi\)
\(60\) −14.3694 2.36063i −1.85508 0.304756i
\(61\) 1.39151 2.41016i 0.178164 0.308589i −0.763088 0.646295i \(-0.776318\pi\)
0.941252 + 0.337706i \(0.109651\pi\)
\(62\) 2.25998 + 0.605559i 0.287017 + 0.0769061i
\(63\) −0.0740300 0.128224i −0.00932691 0.0161547i
\(64\) 13.6621 1.70776
\(65\) −2.70287 + 7.59569i −0.335250 + 0.942129i
\(66\) 6.36774 0.783815
\(67\) 0.0721643 + 0.124992i 0.00881627 + 0.0152702i 0.870400 0.492345i \(-0.163860\pi\)
−0.861584 + 0.507616i \(0.830527\pi\)
\(68\) 13.2394 + 3.54747i 1.60551 + 0.430194i
\(69\) 2.08342 3.60858i 0.250814 0.434422i
\(70\) −0.540774 + 0.388167i −0.0646349 + 0.0463948i
\(71\) −1.41668 5.28713i −0.168129 0.627467i −0.997620 0.0689472i \(-0.978036\pi\)
0.829491 0.558520i \(-0.188631\pi\)
\(72\) −9.13667 5.27506i −1.07677 0.621672i
\(73\) 9.06221 1.06065 0.530326 0.847794i \(-0.322070\pi\)
0.530326 + 0.847794i \(0.322070\pi\)
\(74\) −3.38447 1.95402i −0.393436 0.227151i
\(75\) 3.59418 5.39770i 0.415020 0.623272i
\(76\) −9.04509 + 33.7567i −1.03754 + 3.87216i
\(77\) 0.147197 0.147197i 0.0167747 0.0167747i
\(78\) 8.00753 9.45605i 0.906675 1.07069i
\(79\) 15.1689i 1.70664i 0.521388 + 0.853320i \(0.325414\pi\)
−0.521388 + 0.853320i \(0.674586\pi\)
\(80\) −10.2900 + 22.7588i −1.15046 + 2.54451i
\(81\) −1.65480 2.86620i −0.183867 0.318467i
\(82\) 3.72089 + 13.8865i 0.410903 + 1.53351i
\(83\) 8.53853i 0.937226i −0.883404 0.468613i \(-0.844754\pi\)
0.883404 0.468613i \(-0.155246\pi\)
\(84\) 0.706718 0.189365i 0.0771093 0.0206614i
\(85\) −3.86845 + 4.72139i −0.419592 + 0.512107i
\(86\) −7.30152 7.30152i −0.787343 0.787343i
\(87\) −5.83166 + 1.56259i −0.625219 + 0.167527i
\(88\) 3.83912 14.3278i 0.409251 1.52735i
\(89\) −0.549735 0.147301i −0.0582718 0.0156139i 0.229565 0.973293i \(-0.426270\pi\)
−0.287837 + 0.957679i \(0.592936\pi\)
\(90\) 6.34342 4.55329i 0.668655 0.479959i
\(91\) −0.0334840 0.403690i −0.00351007 0.0423182i
\(92\) −11.4069 11.4069i −1.18925 1.18925i
\(93\) 0.991779 0.572604i 0.102843 0.0593763i
\(94\) −0.791908 + 0.457208i −0.0816791 + 0.0471574i
\(95\) −12.0383 9.86348i −1.23510 1.01197i
\(96\) 12.4606 12.4606i 1.27175 1.27175i
\(97\) 7.48223 12.9596i 0.759705 1.31585i −0.183296 0.983058i \(-0.558677\pi\)
0.943001 0.332790i \(-0.107990\pi\)
\(98\) −9.25742 + 16.0343i −0.935140 + 1.61971i
\(99\) −1.72666 + 1.72666i −0.173536 + 0.173536i
\(100\) −16.5836 18.8493i −1.65836 1.88493i
\(101\) 7.19717 4.15529i 0.716146 0.413467i −0.0971867 0.995266i \(-0.530984\pi\)
0.813332 + 0.581799i \(0.197651\pi\)
\(102\) 8.12422 4.69052i 0.804418 0.464431i
\(103\) 7.72940 + 7.72940i 0.761600 + 0.761600i 0.976612 0.215011i \(-0.0689789\pi\)
−0.215011 + 0.976612i \(0.568979\pi\)
\(104\) −16.4489 23.7185i −1.61295 2.32579i
\(105\) −0.0528184 + 0.321512i −0.00515455 + 0.0313764i
\(106\) 12.9997 + 3.48325i 1.26264 + 0.338324i
\(107\) −1.91631 + 7.15177i −0.185257 + 0.691388i 0.809318 + 0.587370i \(0.199837\pi\)
−0.994575 + 0.104018i \(0.966830\pi\)
\(108\) −27.1613 + 7.27785i −2.61360 + 0.700311i
\(109\) −3.34544 3.34544i −0.320435 0.320435i 0.528499 0.848934i \(-0.322755\pi\)
−0.848934 + 0.528499i \(0.822755\pi\)
\(110\) 8.49200 + 6.95788i 0.809681 + 0.663408i
\(111\) −1.84768 + 0.495085i −0.175374 + 0.0469914i
\(112\) 1.25493i 0.118580i
\(113\) 1.58274 + 5.90688i 0.148892 + 0.555672i 0.999551 + 0.0299550i \(0.00953640\pi\)
−0.850659 + 0.525717i \(0.823797\pi\)
\(114\) 11.9595 + 20.7145i 1.12011 + 1.94009i
\(115\) 6.72145 2.53590i 0.626778 0.236474i
\(116\) 23.3736i 2.17019i
\(117\) 0.392775 + 4.73539i 0.0363121 + 0.437787i
\(118\) −2.40701 + 2.40701i −0.221583 + 0.221583i
\(119\) 0.0793738 0.296227i 0.00727618 0.0271551i
\(120\) 8.19540 + 21.7221i 0.748134 + 1.98295i
\(121\) 6.55303 + 3.78340i 0.595730 + 0.343945i
\(122\) −7.37430 −0.667638
\(123\) 6.09404 + 3.51839i 0.549481 + 0.317243i
\(124\) −1.14751 4.28258i −0.103050 0.384587i
\(125\) 10.6911 3.27108i 0.956243 0.292574i
\(126\) −0.196161 + 0.339761i −0.0174754 + 0.0302684i
\(127\) −11.2706 3.01994i −1.00010 0.267976i −0.278613 0.960403i \(-0.589875\pi\)
−0.721488 + 0.692427i \(0.756541\pi\)
\(128\) −4.51363 7.81784i −0.398953 0.691006i
\(129\) −5.05420 −0.444997
\(130\) 21.0112 3.86092i 1.84281 0.338625i
\(131\) 7.46380 0.652115 0.326058 0.945350i \(-0.394280\pi\)
0.326058 + 0.945350i \(0.394280\pi\)
\(132\) −6.03333 10.4500i −0.525134 0.909559i
\(133\) 0.755298 + 0.202381i 0.0654926 + 0.0175487i
\(134\) 0.191218 0.331199i 0.0165187 0.0286112i
\(135\) 2.02997 12.3567i 0.174712 1.06349i
\(136\) −5.65584 21.1079i −0.484984 1.80998i
\(137\) 16.0078 + 9.24213i 1.36764 + 0.789608i 0.990626 0.136599i \(-0.0436170\pi\)
0.377015 + 0.926207i \(0.376950\pi\)
\(138\) −11.0411 −0.939879
\(139\) 9.44862 + 5.45516i 0.801421 + 0.462701i 0.843968 0.536394i \(-0.180214\pi\)
−0.0425466 + 0.999094i \(0.513547\pi\)
\(140\) 1.14939 + 0.519678i 0.0971413 + 0.0439208i
\(141\) −0.115842 + 0.432327i −0.00975562 + 0.0364085i
\(142\) −10.2557 + 10.2557i −0.860643 + 0.860643i
\(143\) −6.28804 + 2.25659i −0.525833 + 0.188705i
\(144\) 14.7207i 1.22672i
\(145\) −9.48449 4.28825i −0.787644 0.356120i
\(146\) −12.0063 20.7955i −0.993650 1.72105i
\(147\) 2.34553 + 8.75362i 0.193456 + 0.721987i
\(148\) 7.40562i 0.608738i
\(149\) −13.4468 + 3.60307i −1.10161 + 0.295175i −0.763419 0.645903i \(-0.776481\pi\)
−0.338189 + 0.941078i \(0.609814\pi\)
\(150\) −17.1482 1.09648i −1.40015 0.0895272i
\(151\) −8.49593 8.49593i −0.691389 0.691389i 0.271149 0.962537i \(-0.412596\pi\)
−0.962537 + 0.271149i \(0.912596\pi\)
\(152\) 53.8193 14.4208i 4.36532 1.16968i
\(153\) −0.931075 + 3.47482i −0.0752729 + 0.280922i
\(154\) −0.532801 0.142763i −0.0429343 0.0115042i
\(155\) 1.94830 + 0.320070i 0.156492 + 0.0257086i
\(156\) −23.1052 4.18163i −1.84990 0.334799i
\(157\) −5.14491 5.14491i −0.410609 0.410609i 0.471342 0.881951i \(-0.343770\pi\)
−0.881951 + 0.471342i \(0.843770\pi\)
\(158\) 34.8090 20.0970i 2.76926 1.59883i
\(159\) 5.70484 3.29369i 0.452423 0.261207i
\(160\) 30.2328 3.00202i 2.39011 0.237331i
\(161\) −0.255227 + 0.255227i −0.0201147 + 0.0201147i
\(162\) −4.38482 + 7.59474i −0.344504 + 0.596699i
\(163\) 10.2587 17.7686i 0.803526 1.39175i −0.113756 0.993509i \(-0.536288\pi\)
0.917282 0.398239i \(-0.130379\pi\)
\(164\) 19.2636 19.2636i 1.50423 1.50423i
\(165\) 5.34730 0.530970i 0.416286 0.0413360i
\(166\) −19.5938 + 11.3125i −1.52078 + 0.878021i
\(167\) −2.20058 + 1.27050i −0.170286 + 0.0983146i −0.582721 0.812673i \(-0.698012\pi\)
0.412435 + 0.910987i \(0.364678\pi\)
\(168\) −0.824831 0.824831i −0.0636371 0.0636371i
\(169\) −4.55630 + 12.1754i −0.350484 + 0.936569i
\(170\) 15.9597 + 2.62187i 1.22405 + 0.201088i
\(171\) −8.85983 2.37398i −0.677528 0.181543i
\(172\) −5.06438 + 18.9005i −0.386155 + 1.44115i
\(173\) 0.0762079 0.0204199i 0.00579398 0.00155249i −0.255921 0.966698i \(-0.582379\pi\)
0.261715 + 0.965145i \(0.415712\pi\)
\(174\) 11.3120 + 11.3120i 0.857560 + 0.857560i
\(175\) −0.421747 + 0.371054i −0.0318811 + 0.0280491i
\(176\) −19.9916 + 5.35675i −1.50693 + 0.403780i
\(177\) 1.66616i 0.125236i
\(178\) 0.390312 + 1.45666i 0.0292551 + 0.109182i
\(179\) −10.6120 18.3806i −0.793181 1.37383i −0.923988 0.382421i \(-0.875090\pi\)
0.130808 0.991408i \(-0.458243\pi\)
\(180\) −13.4827 6.09595i −1.00494 0.454365i
\(181\) 22.5267i 1.67440i −0.546899 0.837198i \(-0.684192\pi\)
0.546899 0.837198i \(-0.315808\pi\)
\(182\) −0.882008 + 0.611677i −0.0653788 + 0.0453405i
\(183\) −2.55229 + 2.55229i −0.188671 + 0.188671i
\(184\) −6.65667 + 24.8430i −0.490737 + 1.83145i
\(185\) −3.00503 1.35867i −0.220934 0.0998917i
\(186\) −2.62797 1.51726i −0.192692 0.111251i
\(187\) −5.05785 −0.369866
\(188\) 1.50064 + 0.866395i 0.109445 + 0.0631883i
\(189\) 0.162840 + 0.607727i 0.0118449 + 0.0442056i
\(190\) −6.68506 + 40.6927i −0.484985 + 2.95216i
\(191\) −9.80326 + 16.9797i −0.709339 + 1.22861i 0.255764 + 0.966739i \(0.417673\pi\)
−0.965103 + 0.261872i \(0.915660\pi\)
\(192\) −17.1156 4.58610i −1.23521 0.330974i
\(193\) −8.35601 14.4730i −0.601479 1.04179i −0.992597 0.121451i \(-0.961245\pi\)
0.391119 0.920340i \(-0.372088\pi\)
\(194\) −39.6521 −2.84686
\(195\) 5.93582 8.60840i 0.425073 0.616460i
\(196\) 35.0850 2.50607
\(197\) 7.59315 + 13.1517i 0.540990 + 0.937021i 0.998848 + 0.0479960i \(0.0152835\pi\)
−0.457858 + 0.889025i \(0.651383\pi\)
\(198\) 6.24989 + 1.67465i 0.444160 + 0.119012i
\(199\) 6.97357 12.0786i 0.494343 0.856228i −0.505636 0.862747i \(-0.668742\pi\)
0.999979 + 0.00651960i \(0.00207527\pi\)
\(200\) −12.8058 + 37.9234i −0.905508 + 2.68159i
\(201\) −0.0484483 0.180811i −0.00341728 0.0127535i
\(202\) −19.0707 11.0105i −1.34181 0.774696i
\(203\) 0.522979 0.0367059
\(204\) −15.3951 8.88838i −1.07787 0.622311i
\(205\) 4.28253 + 11.3509i 0.299105 + 0.792783i
\(206\) 7.49657 27.9776i 0.522311 1.94929i
\(207\) 2.99388 2.99388i 0.208089 0.208089i
\(208\) −17.1851 + 36.4236i −1.19157 + 2.52552i
\(209\) 12.8961i 0.892044i
\(210\) 0.807769 0.304759i 0.0557414 0.0210304i
\(211\) 11.8091 + 20.4539i 0.812969 + 1.40810i 0.910777 + 0.412898i \(0.135483\pi\)
−0.0978083 + 0.995205i \(0.531183\pi\)
\(212\) −6.60065 24.6340i −0.453335 1.69187i
\(213\) 7.09915i 0.486426i
\(214\) 18.9504 5.07776i 1.29543 0.347108i
\(215\) −6.74027 5.52260i −0.459682 0.376638i
\(216\) 31.7007 + 31.7007i 2.15696 + 2.15696i
\(217\) −0.0958217 + 0.0256753i −0.00650480 + 0.00174296i
\(218\) −3.24467 + 12.1093i −0.219757 + 0.820143i
\(219\) −11.3529 3.04201i −0.767159 0.205560i
\(220\) 3.37247 20.5286i 0.227372 1.38404i
\(221\) −6.36032 + 7.51086i −0.427841 + 0.505235i
\(222\) 3.58405 + 3.58405i 0.240546 + 0.240546i
\(223\) −8.42330 + 4.86319i −0.564066 + 0.325664i −0.754776 0.655983i \(-0.772254\pi\)
0.190710 + 0.981646i \(0.438921\pi\)
\(224\) −1.32196 + 0.763236i −0.0883274 + 0.0509958i
\(225\) 4.94720 4.35256i 0.329813 0.290171i
\(226\) 11.4579 11.4579i 0.762168 0.762168i
\(227\) −4.58790 + 7.94647i −0.304510 + 0.527426i −0.977152 0.212542i \(-0.931826\pi\)
0.672642 + 0.739968i \(0.265159\pi\)
\(228\) 22.6629 39.2534i 1.50089 2.59962i
\(229\) −12.5270 + 12.5270i −0.827811 + 0.827811i −0.987214 0.159403i \(-0.949043\pi\)
0.159403 + 0.987214i \(0.449043\pi\)
\(230\) −14.7244 12.0643i −0.970895 0.795498i
\(231\) −0.233817 + 0.134994i −0.0153840 + 0.00888197i
\(232\) 32.2726 18.6326i 2.11880 1.22329i
\(233\) 11.8637 + 11.8637i 0.777214 + 0.777214i 0.979356 0.202142i \(-0.0647903\pi\)
−0.202142 + 0.979356i \(0.564790\pi\)
\(234\) 10.3462 7.17513i 0.676350 0.469053i
\(235\) −0.626879 + 0.449972i −0.0408931 + 0.0293530i
\(236\) 6.23072 + 1.66952i 0.405585 + 0.108676i
\(237\) 5.09192 19.0033i 0.330756 1.23440i
\(238\) −0.784929 + 0.210321i −0.0508794 + 0.0136331i
\(239\) 18.2161 + 18.2161i 1.17830 + 1.17830i 0.980177 + 0.198124i \(0.0634848\pi\)
0.198124 + 0.980177i \(0.436515\pi\)
\(240\) 20.5308 25.0576i 1.32526 1.61746i
\(241\) −5.28403 + 1.41585i −0.340374 + 0.0912030i −0.424957 0.905213i \(-0.639711\pi\)
0.0845830 + 0.996416i \(0.473044\pi\)
\(242\) 20.0501i 1.28887i
\(243\) −3.23730 12.0818i −0.207673 0.775046i
\(244\) 6.98703 + 12.1019i 0.447299 + 0.774744i
\(245\) −6.43688 + 14.2367i −0.411237 + 0.909550i
\(246\) 18.6458i 1.18881i
\(247\) −19.1506 16.2171i −1.21853 1.03187i
\(248\) −4.99833 + 4.99833i −0.317394 + 0.317394i
\(249\) −2.86622 + 10.6969i −0.181639 + 0.677887i
\(250\) −21.6707 20.1997i −1.37058 1.27754i
\(251\) 11.3169 + 6.53384i 0.714319 + 0.412412i 0.812658 0.582741i \(-0.198020\pi\)
−0.0983394 + 0.995153i \(0.531353\pi\)
\(252\) 0.743439 0.0468322
\(253\) 5.15533 + 2.97643i 0.324113 + 0.187127i
\(254\) 8.00209 + 29.8642i 0.502096 + 1.87385i
\(255\) 6.43118 4.61629i 0.402736 0.289083i
\(256\) 1.70209 2.94811i 0.106381 0.184257i
\(257\) 16.8541 + 4.51603i 1.05133 + 0.281702i 0.742800 0.669513i \(-0.233497\pi\)
0.308528 + 0.951215i \(0.400164\pi\)
\(258\) 6.69619 + 11.5981i 0.416887 + 0.722069i
\(259\) 0.165699 0.0102960
\(260\) −26.2439 30.8231i −1.62758 1.91157i
\(261\) −6.13467 −0.379727
\(262\) −9.88862 17.1276i −0.610921 1.05815i
\(263\) −20.1379 5.39593i −1.24175 0.332727i −0.422608 0.906312i \(-0.638885\pi\)
−0.819146 + 0.573585i \(0.805552\pi\)
\(264\) −9.61911 + 16.6608i −0.592015 + 1.02540i
\(265\) 11.2069 + 1.84108i 0.688434 + 0.113097i
\(266\) −0.536261 2.00135i −0.0328803 0.122711i
\(267\) 0.639249 + 0.369071i 0.0391214 + 0.0225868i
\(268\) −0.724703 −0.0442683
\(269\) 9.15088 + 5.28326i 0.557939 + 0.322126i 0.752318 0.658800i \(-0.228936\pi\)
−0.194379 + 0.980927i \(0.562269\pi\)
\(270\) −31.0450 + 11.7128i −1.88934 + 0.712818i
\(271\) −2.04739 + 7.64095i −0.124370 + 0.464155i −0.999816 0.0191601i \(-0.993901\pi\)
0.875446 + 0.483315i \(0.160567\pi\)
\(272\) −21.5603 + 21.5603i −1.30729 + 1.30729i
\(273\) −0.0935629 + 0.516973i −0.00566269 + 0.0312887i
\(274\) 48.9787i 2.95891i
\(275\) 7.71132 + 5.13476i 0.465010 + 0.309638i
\(276\) 10.4612 + 18.1194i 0.629693 + 1.09066i
\(277\) 2.64361 + 9.86609i 0.158839 + 0.592796i 0.998746 + 0.0500653i \(0.0159429\pi\)
−0.839907 + 0.542731i \(0.817390\pi\)
\(278\) 28.9097i 1.73389i
\(279\) 1.12401 0.301178i 0.0672929 0.0180311i
\(280\) −0.198720 2.00127i −0.0118758 0.119598i
\(281\) 12.4763 + 12.4763i 0.744271 + 0.744271i 0.973397 0.229126i \(-0.0735867\pi\)
−0.229126 + 0.973397i \(0.573587\pi\)
\(282\) 1.14556 0.306952i 0.0682171 0.0182787i
\(283\) −2.13952 + 7.98478i −0.127181 + 0.474646i −0.999908 0.0135626i \(-0.995683\pi\)
0.872727 + 0.488208i \(0.162349\pi\)
\(284\) 26.5478 + 7.11345i 1.57532 + 0.422105i
\(285\) 11.7703 + 16.3977i 0.697210 + 0.971318i
\(286\) 13.5092 + 11.4398i 0.798816 + 0.676451i
\(287\) −0.431018 0.431018i −0.0254422 0.0254422i
\(288\) 15.5070 8.95295i 0.913756 0.527557i
\(289\) 8.26943 4.77436i 0.486437 0.280844i
\(290\) 2.72530 + 27.4460i 0.160035 + 1.61168i
\(291\) −13.7238 + 13.7238i −0.804506 + 0.804506i
\(292\) −22.7516 + 39.4069i −1.33144 + 2.30611i
\(293\) −3.18916 + 5.52378i −0.186313 + 0.322703i −0.944018 0.329894i \(-0.892987\pi\)
0.757705 + 0.652597i \(0.226320\pi\)
\(294\) 16.9799 16.9799i 0.990287 0.990287i
\(295\) −1.82057 + 2.22199i −0.105998 + 0.129369i
\(296\) 10.2251 5.90349i 0.594325 0.343133i
\(297\) 8.98628 5.18823i 0.521437 0.301052i
\(298\) 26.0836 + 26.0836i 1.51098 + 1.51098i
\(299\) 10.9029 3.91272i 0.630531 0.226278i
\(300\) 14.4483 + 29.1807i 0.834170 + 1.68475i
\(301\) 0.422894 + 0.113314i 0.0243752 + 0.00653132i
\(302\) −8.24001 + 30.7521i −0.474159 + 1.76959i
\(303\) −10.4113 + 2.78970i −0.598114 + 0.160264i
\(304\) −54.9729 54.9729i −3.15291 3.15291i
\(305\) −6.19255 + 0.614902i −0.354584 + 0.0352092i
\(306\) 9.20741 2.46712i 0.526353 0.141036i
\(307\) 26.5460i 1.51506i −0.652801 0.757530i \(-0.726406\pi\)
0.652801 0.757530i \(-0.273594\pi\)
\(308\) 0.270532 + 1.00964i 0.0154150 + 0.0575296i
\(309\) −7.08860 12.2778i −0.403256 0.698460i
\(310\) −1.84678 4.89494i −0.104890 0.278014i
\(311\) 3.54417i 0.200972i −0.994938 0.100486i \(-0.967960\pi\)
0.994938 0.100486i \(-0.0320397\pi\)
\(312\) 12.6450 + 35.2355i 0.715879 + 1.99482i
\(313\) −6.21088 + 6.21088i −0.351060 + 0.351060i −0.860504 0.509444i \(-0.829851\pi\)
0.509444 + 0.860504i \(0.329851\pi\)
\(314\) −4.98993 + 18.6227i −0.281598 + 1.05094i
\(315\) −0.136395 + 0.301671i −0.00768500 + 0.0169972i
\(316\) −65.9619 38.0831i −3.71065 2.14234i
\(317\) −8.52812 −0.478987 −0.239494 0.970898i \(-0.576981\pi\)
−0.239494 + 0.970898i \(0.576981\pi\)
\(318\) −15.1164 8.72748i −0.847688 0.489413i
\(319\) −2.23236 8.33129i −0.124988 0.466463i
\(320\) −17.8142 24.8178i −0.995842 1.38736i
\(321\) 4.80142 8.31631i 0.267989 0.464171i
\(322\) 0.923827 + 0.247539i 0.0514829 + 0.0137948i
\(323\) −9.49937 16.4534i −0.528559 0.915491i
\(324\) 16.6182 0.923233
\(325\) 17.3222 4.99421i 0.960862 0.277029i
\(326\) −54.3663 −3.01107
\(327\) 3.06809 + 5.31409i 0.169666 + 0.293870i
\(328\) −41.9540 11.2415i −2.31652 0.620710i
\(329\) 0.0193853 0.0335764i 0.00106875 0.00185113i
\(330\) −8.30296 11.5673i −0.457063 0.636757i
\(331\) 4.66054 + 17.3934i 0.256166 + 0.956026i 0.967438 + 0.253109i \(0.0814530\pi\)
−0.711271 + 0.702917i \(0.751880\pi\)
\(332\) 37.1297 + 21.4368i 2.03776 + 1.17650i
\(333\) −1.94369 −0.106513
\(334\) 5.83099 + 3.36652i 0.319058 + 0.184208i
\(335\) 0.132958 0.294068i 0.00726426 0.0160666i
\(336\) −0.421256 + 1.57215i −0.0229814 + 0.0857677i
\(337\) 20.0865 20.0865i 1.09418 1.09418i 0.0991030 0.995077i \(-0.468403\pi\)
0.995077 0.0991030i \(-0.0315973\pi\)
\(338\) 33.9761 5.67532i 1.84805 0.308697i
\(339\) 7.93129i 0.430769i
\(340\) −10.8188 28.6754i −0.586731 1.55514i
\(341\) 0.818040 + 1.41689i 0.0442994 + 0.0767288i
\(342\) 6.29048 + 23.4764i 0.340150 + 1.26946i
\(343\) 1.57145i 0.0848505i
\(344\) 30.1336 8.07428i 1.62470 0.435336i
\(345\) −9.27172 + 0.920654i −0.499173 + 0.0495663i
\(346\) −0.147825 0.147825i −0.00794710 0.00794710i
\(347\) 6.93201 1.85743i 0.372130 0.0997119i −0.0679068 0.997692i \(-0.521632\pi\)
0.440037 + 0.897980i \(0.354965\pi\)
\(348\) 7.84607 29.2819i 0.420593 1.56968i
\(349\) −3.52885 0.945552i −0.188895 0.0506143i 0.163131 0.986604i \(-0.447841\pi\)
−0.352026 + 0.935990i \(0.614507\pi\)
\(350\) 1.41024 + 0.476204i 0.0753806 + 0.0254542i
\(351\) 3.59590 19.8688i 0.191935 1.06052i
\(352\) 17.8016 + 17.8016i 0.948827 + 0.948827i
\(353\) −1.52702 + 0.881628i −0.0812753 + 0.0469243i −0.540087 0.841609i \(-0.681609\pi\)
0.458812 + 0.888534i \(0.348275\pi\)
\(354\) 3.82343 2.20746i 0.203213 0.117325i
\(355\) −7.75707 + 9.46741i −0.411702 + 0.502478i
\(356\) 2.02070 2.02070i 0.107097 0.107097i
\(357\) −0.198875 + 0.344462i −0.0105256 + 0.0182309i
\(358\) −28.1193 + 48.7040i −1.48615 + 2.57409i
\(359\) −8.58021 + 8.58021i −0.452846 + 0.452846i −0.896298 0.443452i \(-0.853754\pi\)
0.443452 + 0.896298i \(0.353754\pi\)
\(360\) 2.33103 + 23.4753i 0.122856 + 1.23726i
\(361\) 25.4972 14.7208i 1.34196 0.774778i
\(362\) −51.6933 + 29.8451i −2.71694 + 1.56862i
\(363\) −6.93947 6.93947i −0.364228 0.364228i
\(364\) 1.83951 + 0.867900i 0.0964163 + 0.0454903i
\(365\) −11.8163 16.4619i −0.618493 0.861654i
\(366\) 9.23835 + 2.47541i 0.482896 + 0.129392i
\(367\) −3.62635 + 13.5337i −0.189294 + 0.706454i 0.804377 + 0.594120i \(0.202499\pi\)
−0.993670 + 0.112334i \(0.964167\pi\)
\(368\) 34.6637 9.28811i 1.80697 0.484176i
\(369\) 5.05594 + 5.05594i 0.263202 + 0.263202i
\(370\) 0.863475 + 8.69589i 0.0448900 + 0.452078i
\(371\) −0.551179 + 0.147688i −0.0286158 + 0.00766757i
\(372\) 5.75032i 0.298140i
\(373\) −7.47789 27.9078i −0.387190 1.44501i −0.834685 0.550727i \(-0.814350\pi\)
0.447495 0.894286i \(-0.352316\pi\)
\(374\) 6.70103 + 11.6065i 0.346502 + 0.600159i
\(375\) −14.4916 + 0.509129i −0.748344 + 0.0262913i
\(376\) 2.76263i 0.142472i
\(377\) −15.1791 7.16169i −0.781765 0.368846i
\(378\) 1.17884 1.17884i 0.0606330 0.0606330i
\(379\) −2.45278 + 9.15390i −0.125991 + 0.470204i −0.999873 0.0159336i \(-0.994928\pi\)
0.873882 + 0.486138i \(0.161595\pi\)
\(380\) 73.1144 27.5849i 3.75069 1.41508i
\(381\) 13.1058 + 7.56661i 0.671428 + 0.387649i
\(382\) 51.9525 2.65812
\(383\) −18.2490 10.5361i −0.932483 0.538369i −0.0448868 0.998992i \(-0.514293\pi\)
−0.887596 + 0.460623i \(0.847626\pi\)
\(384\) 3.03028 + 11.3091i 0.154638 + 0.577118i
\(385\) −0.459322 0.0754581i −0.0234092 0.00384570i
\(386\) −22.1414 + 38.3500i −1.12697 + 1.95196i
\(387\) −4.96065 1.32920i −0.252164 0.0675672i
\(388\) 37.5698 + 65.0727i 1.90732 + 3.30357i
\(389\) −0.0604806 −0.00306649 −0.00153324 0.999999i \(-0.500488\pi\)
−0.00153324 + 0.999999i \(0.500488\pi\)
\(390\) −27.6184 2.21619i −1.39851 0.112221i
\(391\) 8.76984 0.443510
\(392\) −27.9685 48.4429i −1.41262 2.44673i
\(393\) −9.35047 2.50545i −0.471669 0.126383i
\(394\) 20.1200 34.8488i 1.01363 1.75566i
\(395\) 27.5550 19.7789i 1.38644 0.995186i
\(396\) −3.17341 11.8433i −0.159470 0.595150i
\(397\) −7.11548 4.10812i −0.357116 0.206181i 0.310699 0.950508i \(-0.399437\pi\)
−0.667815 + 0.744327i \(0.732770\pi\)
\(398\) −36.9565 −1.85246
\(399\) −0.878284 0.507077i −0.0439692 0.0253856i
\(400\) 54.7596 10.9832i 2.73798 0.549161i
\(401\) −2.32904 + 8.69210i −0.116307 + 0.434063i −0.999381 0.0351698i \(-0.988803\pi\)
0.883075 + 0.469233i \(0.155469\pi\)
\(402\) −0.350730 + 0.350730i −0.0174928 + 0.0174928i
\(403\) 3.13276 + 0.566974i 0.156054 + 0.0282430i
\(404\) 41.7291i 2.07610i
\(405\) −3.04886 + 6.74329i −0.151499 + 0.335077i
\(406\) −0.692882 1.20011i −0.0343872 0.0595603i
\(407\) −0.707294 2.63966i −0.0350593 0.130843i
\(408\) 28.3420i 1.40314i
\(409\) −34.6013 + 9.27138i −1.71092 + 0.458440i −0.975650 0.219332i \(-0.929612\pi\)
−0.735272 + 0.677772i \(0.762946\pi\)
\(410\) 20.3738 24.8659i 1.00619 1.22804i
\(411\) −16.9518 16.9518i −0.836173 0.836173i
\(412\) −53.0166 + 14.2058i −2.61194 + 0.699867i
\(413\) 0.0373550 0.139411i 0.00183812 0.00685995i
\(414\) −10.8367 2.90369i −0.532596 0.142709i
\(415\) −15.5106 + 11.1335i −0.761385 + 0.546521i
\(416\) 48.8209 4.04944i 2.39364 0.198540i
\(417\) −10.0058 10.0058i −0.489987 0.489987i
\(418\) −29.5934 + 17.0858i −1.44746 + 0.835693i
\(419\) 11.3282 6.54037i 0.553421 0.319518i −0.197080 0.980387i \(-0.563146\pi\)
0.750501 + 0.660870i \(0.229812\pi\)
\(420\) −1.26548 1.03687i −0.0617493 0.0505940i
\(421\) −13.7924 + 13.7924i −0.672203 + 0.672203i −0.958223 0.286021i \(-0.907667\pi\)
0.286021 + 0.958223i \(0.407667\pi\)
\(422\) 31.2911 54.1978i 1.52323 2.63831i
\(423\) −0.227395 + 0.393860i −0.0110563 + 0.0191501i
\(424\) −28.7510 + 28.7510i −1.39627 + 1.39627i
\(425\) 13.6207 + 0.870925i 0.660701 + 0.0422461i
\(426\) 16.2908 9.40550i 0.789292 0.455698i
\(427\) 0.270777 0.156333i 0.0131038 0.00756548i
\(428\) −26.2883 26.2883i −1.27069 1.27069i
\(429\) 8.63501 0.716228i 0.416902 0.0345798i
\(430\) −3.74299 + 22.7840i −0.180503 + 1.09874i
\(431\) 21.4619 + 5.75070i 1.03378 + 0.277002i 0.735535 0.677487i \(-0.236931\pi\)
0.298249 + 0.954488i \(0.403597\pi\)
\(432\) 16.1901 60.4224i 0.778948 2.90707i
\(433\) 0.177294 0.0475058i 0.00852021 0.00228298i −0.254556 0.967058i \(-0.581929\pi\)
0.263077 + 0.964775i \(0.415263\pi\)
\(434\) 0.185871 + 0.185871i 0.00892207 + 0.00892207i
\(435\) 10.4425 + 8.55597i 0.500678 + 0.410228i
\(436\) 22.9467 6.14854i 1.09895 0.294462i
\(437\) 22.3607i 1.06966i
\(438\) 8.06057 + 30.0825i 0.385149 + 1.43740i
\(439\) 8.64682 + 14.9767i 0.412690 + 0.714800i 0.995183 0.0980356i \(-0.0312559\pi\)
−0.582493 + 0.812836i \(0.697923\pi\)
\(440\) −31.0328 + 11.7082i −1.47943 + 0.558167i
\(441\) 9.20846i 0.438498i
\(442\) 25.6622 + 4.64440i 1.22063 + 0.220912i
\(443\) 24.4472 24.4472i 1.16152 1.16152i 0.177377 0.984143i \(-0.443239\pi\)
0.984143 0.177377i \(-0.0567611\pi\)
\(444\) 2.48592 9.27758i 0.117977 0.440295i
\(445\) 0.449226 + 1.19068i 0.0212954 + 0.0564438i
\(446\) 22.3197 + 12.8863i 1.05687 + 0.610183i
\(447\) 18.0554 0.853989
\(448\) 1.32927 + 0.767456i 0.0628022 + 0.0362589i
\(449\) −9.62407 35.9175i −0.454188 1.69505i −0.690465 0.723366i \(-0.742594\pi\)
0.236277 0.971686i \(-0.424073\pi\)
\(450\) −16.5425 5.58600i −0.779820 0.263326i
\(451\) −5.02649 + 8.70613i −0.236688 + 0.409956i
\(452\) −29.6596 7.94727i −1.39507 0.373808i
\(453\) 7.79158 + 13.4954i 0.366080 + 0.634070i
\(454\) 24.3136 1.14109
\(455\) −0.689660 + 0.587200i −0.0323317 + 0.0275284i
\(456\) −72.2643 −3.38409
\(457\) −4.71345 8.16394i −0.220486 0.381893i 0.734470 0.678642i \(-0.237431\pi\)
−0.954956 + 0.296749i \(0.904098\pi\)
\(458\) 45.3433 + 12.1497i 2.11875 + 0.567718i
\(459\) 7.64337 13.2387i 0.356762 0.617930i
\(460\) −5.84755 + 35.5947i −0.272643 + 1.65961i
\(461\) −8.51149 31.7653i −0.396419 1.47946i −0.819349 0.573295i \(-0.805665\pi\)
0.422930 0.906162i \(-0.361002\pi\)
\(462\) 0.619557 + 0.357701i 0.0288244 + 0.0166418i
\(463\) 18.6729 0.867805 0.433903 0.900960i \(-0.357136\pi\)
0.433903 + 0.900960i \(0.357136\pi\)
\(464\) −45.0302 25.9982i −2.09047 1.20694i
\(465\) −2.33335 1.05498i −0.108206 0.0489237i
\(466\) 11.5063 42.9421i 0.533019 1.98925i
\(467\) 12.1678 12.1678i 0.563057 0.563057i −0.367118 0.930175i \(-0.619655\pi\)
0.930175 + 0.367118i \(0.119655\pi\)
\(468\) −21.5779 10.1807i −0.997437 0.470602i
\(469\) 0.0162150i 0.000748740i
\(470\) 1.86311 + 0.842375i 0.0859390 + 0.0388559i
\(471\) 4.71838 + 8.17247i 0.217411 + 0.376568i
\(472\) −2.66176 9.93381i −0.122517 0.457241i
\(473\) 7.22059i 0.332003i
\(474\) −50.3541 + 13.4923i −2.31284 + 0.619723i
\(475\) −2.22062 + 34.7291i −0.101889 + 1.59348i
\(476\) 1.08886 + 1.08886i 0.0499080 + 0.0499080i
\(477\) 6.46546 1.73242i 0.296033 0.0793219i
\(478\) 17.6674 65.9355i 0.808087 3.01582i
\(479\) 31.8403 + 8.53158i 1.45482 + 0.389818i 0.897697 0.440612i \(-0.145239\pi\)
0.557123 + 0.830430i \(0.311905\pi\)
\(480\) −38.8826 6.38768i −1.77474 0.291557i
\(481\) −4.80931 2.26908i −0.219285 0.103461i
\(482\) 10.2497 + 10.2497i 0.466862 + 0.466862i
\(483\) 0.405417 0.234068i 0.0184471 0.0106504i
\(484\) −32.9041 + 18.9972i −1.49564 + 0.863508i
\(485\) −33.2978 + 3.30637i −1.51197 + 0.150134i
\(486\) −23.4357 + 23.4357i −1.06306 + 1.06306i
\(487\) −16.4931 + 28.5670i −0.747376 + 1.29449i 0.201701 + 0.979447i \(0.435353\pi\)
−0.949077 + 0.315045i \(0.897980\pi\)
\(488\) 11.1396 19.2944i 0.504267 0.873415i
\(489\) −18.8165 + 18.8165i −0.850911 + 0.850911i
\(490\) 41.1978 4.09082i 1.86113 0.184804i
\(491\) −18.4427 + 10.6479i −0.832307 + 0.480533i −0.854642 0.519218i \(-0.826223\pi\)
0.0223350 + 0.999751i \(0.492890\pi\)
\(492\) −30.5994 + 17.6666i −1.37953 + 0.796470i
\(493\) −8.98502 8.98502i −0.404665 0.404665i
\(494\) −11.8420 + 65.4317i −0.532795 + 2.94391i
\(495\) 5.38797 + 0.885142i 0.242171 + 0.0397842i
\(496\) 9.52693 + 2.55273i 0.427772 + 0.114621i
\(497\) 0.159161 0.593999i 0.00713937 0.0266445i
\(498\) 28.3441 7.59477i 1.27013 0.340330i
\(499\) 14.9199 + 14.9199i 0.667904 + 0.667904i 0.957231 0.289326i \(-0.0934312\pi\)
−0.289326 + 0.957231i \(0.593431\pi\)
\(500\) −12.6169 + 54.7025i −0.564244 + 2.44637i
\(501\) 3.18332 0.852967i 0.142220 0.0381077i
\(502\) 34.6261i 1.54544i
\(503\) 11.3059 + 42.1943i 0.504106 + 1.88135i 0.471471 + 0.881881i \(0.343723\pi\)
0.0326345 + 0.999467i \(0.489610\pi\)
\(504\) −0.592643 1.02649i −0.0263984 0.0457234i
\(505\) −16.9327 7.65584i −0.753496 0.340680i
\(506\) 15.7736i 0.701224i
\(507\) 9.79506 13.7236i 0.435014 0.609486i
\(508\) 41.4280 41.4280i 1.83807 1.83807i
\(509\) 9.67023 36.0898i 0.428626 1.59965i −0.327250 0.944938i \(-0.606122\pi\)
0.755876 0.654715i \(-0.227211\pi\)
\(510\) −19.1138 8.64196i −0.846372 0.382673i
\(511\) 0.881719 + 0.509060i 0.0390049 + 0.0225195i
\(512\) −27.0748 −1.19655
\(513\) 33.7551 + 19.4885i 1.49032 + 0.860438i
\(514\) −11.9664 44.6591i −0.527814 1.96983i
\(515\) 3.96233 24.1192i 0.174601 1.06282i
\(516\) 12.6891 21.9781i 0.558605 0.967533i
\(517\) −0.617635 0.165495i −0.0271636 0.00727846i
\(518\) −0.219530 0.380238i −0.00964562 0.0167067i
\(519\) −0.102326 −0.00449161
\(520\) −21.6377 + 60.8068i −0.948875 + 2.66655i
\(521\) −35.6853 −1.56340 −0.781701 0.623653i \(-0.785648\pi\)
−0.781701 + 0.623653i \(0.785648\pi\)
\(522\) 8.12768 + 14.0776i 0.355739 + 0.616158i
\(523\) 4.16849 + 1.11694i 0.182275 + 0.0488406i 0.348802 0.937196i \(-0.386589\pi\)
−0.166527 + 0.986037i \(0.553255\pi\)
\(524\) −18.7386 + 32.4562i −0.818600 + 1.41786i
\(525\) 0.652910 0.323276i 0.0284953 0.0141089i
\(526\) 14.2979 + 53.3604i 0.623417 + 2.32662i
\(527\) 2.08738 + 1.20515i 0.0909276 + 0.0524971i
\(528\) 26.8432 1.16820
\(529\) 10.9797 + 6.33914i 0.477379 + 0.275615i
\(530\) −10.6229 28.1563i −0.461431 1.22303i
\(531\) −0.438183 + 1.63532i −0.0190155 + 0.0709670i
\(532\) −2.77630 + 2.77630i −0.120368 + 0.120368i
\(533\) 6.60765 + 18.4124i 0.286209 + 0.797529i
\(534\) 1.95589i 0.0846398i
\(535\) 15.4902 5.84421i 0.669699 0.252667i
\(536\) 0.577707 + 1.00062i 0.0249531 + 0.0432201i
\(537\) 7.12450 + 26.5890i 0.307445 + 1.14740i
\(538\) 27.9987i 1.20711i
\(539\) −12.5057 + 3.35089i −0.538659 + 0.144333i
\(540\) 48.6364 + 39.8500i 2.09298 + 1.71487i
\(541\) −5.42748 5.42748i −0.233345 0.233345i 0.580742 0.814088i \(-0.302762\pi\)
−0.814088 + 0.580742i \(0.802762\pi\)
\(542\) 20.2467 5.42507i 0.869668 0.233027i
\(543\) −7.56177 + 28.2209i −0.324507 + 1.21108i
\(544\) 35.8247 + 9.59920i 1.53597 + 0.411563i
\(545\) −1.71498 + 10.4393i −0.0734616 + 0.447170i
\(546\) 1.31029 0.470222i 0.0560751 0.0201237i
\(547\) 11.6940 + 11.6940i 0.500000 + 0.500000i 0.911438 0.411438i \(-0.134973\pi\)
−0.411438 + 0.911438i \(0.634973\pi\)
\(548\) −80.3785 + 46.4066i −3.43360 + 1.98239i
\(549\) −3.17628 + 1.83382i −0.135560 + 0.0782657i
\(550\) 1.56647 24.4985i 0.0667943 1.04462i
\(551\) 22.9093 22.9093i 0.975971 0.975971i
\(552\) 16.6786 28.8883i 0.709890 1.22957i
\(553\) −0.852100 + 1.47588i −0.0362350 + 0.0627608i
\(554\) 19.1378 19.1378i 0.813087 0.813087i
\(555\) 3.30855 + 2.71085i 0.140440 + 0.115069i
\(556\) −47.4434 + 27.3915i −2.01205 + 1.16166i
\(557\) −4.22190 + 2.43751i −0.178888 + 0.103281i −0.586770 0.809754i \(-0.699601\pi\)
0.407882 + 0.913034i \(0.366267\pi\)
\(558\) −2.18031 2.18031i −0.0922998 0.0922998i
\(559\) −10.7225 9.08000i −0.453514 0.384043i
\(560\) −2.27963 + 1.63632i −0.0963321 + 0.0691470i
\(561\) 6.33635 + 1.69782i 0.267521 + 0.0716820i
\(562\) 12.1004 45.1595i 0.510426 1.90494i
\(563\) −37.6390 + 10.0853i −1.58630 + 0.425047i −0.940868 0.338774i \(-0.889988\pi\)
−0.645428 + 0.763821i \(0.723321\pi\)
\(564\) −1.58913 1.58913i −0.0669146 0.0669146i
\(565\) 8.66633 10.5772i 0.364595 0.444984i
\(566\) 21.1577 5.66919i 0.889325 0.238294i
\(567\) 0.371828i 0.0156153i
\(568\) −11.3412 42.3258i −0.475865 1.77595i
\(569\) −1.84104 3.18877i −0.0771804 0.133680i 0.824852 0.565349i \(-0.191258\pi\)
−0.902032 + 0.431668i \(0.857925\pi\)
\(570\) 22.0346 48.7349i 0.922929 2.04128i
\(571\) 2.96698i 0.124164i −0.998071 0.0620821i \(-0.980226\pi\)
0.998071 0.0620821i \(-0.0197741\pi\)
\(572\) 5.97401 33.0089i 0.249786 1.38017i
\(573\) 17.9811 17.9811i 0.751170 0.751170i
\(574\) −0.418034 + 1.56012i −0.0174484 + 0.0651184i
\(575\) −13.3707 8.90320i −0.557598 0.371289i
\(576\) −15.5927 9.00245i −0.649696 0.375102i
\(577\) −35.0533 −1.45929 −0.729644 0.683827i \(-0.760314\pi\)
−0.729644 + 0.683827i \(0.760314\pi\)
\(578\) −21.9120 12.6509i −0.911417 0.526207i
\(579\) 5.60990 + 20.9364i 0.233139 + 0.870088i
\(580\) 42.4591 30.4771i 1.76302 1.26549i
\(581\) 0.479643 0.830767i 0.0198990 0.0344660i
\(582\) 49.6753 + 13.3104i 2.05911 + 0.551736i
\(583\) 4.70547 + 8.15012i 0.194881 + 0.337543i
\(584\) 72.5469 3.00201
\(585\) 8.08988 6.88801i 0.334475 0.284784i
\(586\) 16.9010 0.698173
\(587\) −3.52719 6.10926i −0.145583 0.252156i 0.784008 0.620751i \(-0.213172\pi\)
−0.929590 + 0.368595i \(0.879839\pi\)
\(588\) −43.9537 11.7774i −1.81262 0.485690i
\(589\) −3.07280 + 5.32224i −0.126612 + 0.219299i
\(590\) 7.51095 + 1.23391i 0.309221 + 0.0507992i
\(591\) −5.09774 19.0250i −0.209693 0.782585i
\(592\) −14.2672 8.23718i −0.586379 0.338546i
\(593\) 40.0169 1.64330 0.821649 0.569993i \(-0.193054\pi\)
0.821649 + 0.569993i \(0.193054\pi\)
\(594\) −23.8114 13.7475i −0.976995 0.564068i
\(595\) −0.641605 + 0.242067i −0.0263032 + 0.00992380i
\(596\) 18.0917 67.5192i 0.741066 2.76570i
\(597\) −12.7909 + 12.7909i −0.523495 + 0.523495i
\(598\) −23.4237 19.8356i −0.957867 0.811138i
\(599\) 13.9207i 0.568784i 0.958708 + 0.284392i \(0.0917918\pi\)
−0.958708 + 0.284392i \(0.908208\pi\)
\(600\) 28.7730 43.2109i 1.17465 1.76408i
\(601\) 1.15689 + 2.00379i 0.0471906 + 0.0817365i 0.888656 0.458575i \(-0.151640\pi\)
−0.841465 + 0.540311i \(0.818307\pi\)
\(602\) −0.300255 1.12057i −0.0122375 0.0456708i
\(603\) 0.190206i 0.00774580i
\(604\) 58.2743 15.6145i 2.37115 0.635347i
\(605\) −1.67187 16.8371i −0.0679711 0.684524i
\(606\) 20.1954 + 20.1954i 0.820381 + 0.820381i
\(607\) −22.7965 + 6.10830i −0.925282 + 0.247928i −0.689842 0.723960i \(-0.742320\pi\)
−0.235440 + 0.971889i \(0.575653\pi\)
\(608\) −24.4753 + 91.3432i −0.992606 + 3.70446i
\(609\) −0.655175 0.175554i −0.0265490 0.00711379i
\(610\) 9.61542 + 13.3957i 0.389317 + 0.542377i
\(611\) −1.02244 + 0.709071i −0.0413637 + 0.0286860i
\(612\) −12.7726 12.7726i −0.516303 0.516303i
\(613\) 9.23121 5.32964i 0.372845 0.215262i −0.301856 0.953354i \(-0.597606\pi\)
0.674701 + 0.738091i \(0.264273\pi\)
\(614\) −60.9165 + 35.1702i −2.45839 + 1.41935i
\(615\) −1.55477 15.6577i −0.0626942 0.631381i
\(616\) 1.17838 1.17838i 0.0474783 0.0474783i
\(617\) 6.86421 11.8892i 0.276343 0.478639i −0.694130 0.719849i \(-0.744211\pi\)
0.970473 + 0.241210i \(0.0775442\pi\)
\(618\) −18.7830 + 32.5332i −0.755565 + 1.30868i
\(619\) −16.8604 + 16.8604i −0.677679 + 0.677679i −0.959474 0.281796i \(-0.909070\pi\)
0.281796 + 0.959474i \(0.409070\pi\)
\(620\) −6.28323 + 7.66861i −0.252341 + 0.307979i
\(621\) −15.5814 + 8.99592i −0.625260 + 0.360994i
\(622\) −8.13301 + 4.69560i −0.326104 + 0.188276i
\(623\) −0.0452127 0.0452127i −0.00181141 0.00181141i
\(624\) 33.7558 39.8620i 1.35131 1.59576i
\(625\) −19.8823 15.1557i −0.795292 0.606227i
\(626\) 22.4811 + 6.02379i 0.898526 + 0.240759i
\(627\) −4.32898 + 16.1560i −0.172883 + 0.645207i
\(628\) 35.2894 9.45576i 1.40820 0.377326i
\(629\) −2.84678 2.84678i −0.113509 0.113509i
\(630\) 0.872967 0.0866830i 0.0347798 0.00345353i
\(631\) 29.5533 7.91879i 1.17650 0.315242i 0.382962 0.923764i \(-0.374904\pi\)
0.793537 + 0.608522i \(0.208237\pi\)
\(632\) 121.434i 4.83038i
\(633\) −7.92814 29.5882i −0.315115 1.17603i
\(634\) 11.2987 + 19.5700i 0.448729 + 0.777222i
\(635\) 9.20995 + 24.4112i 0.365486 + 0.968727i
\(636\) 33.0766i 1.31157i
\(637\) −10.7501 + 22.7847i −0.425933 + 0.902761i
\(638\) −16.1607 + 16.1607i −0.639807 + 0.639807i
\(639\) −1.86700 + 6.96776i −0.0738576 + 0.275640i
\(640\) −8.31606 + 18.3930i −0.328721 + 0.727046i
\(641\) −13.2495 7.64957i −0.523322 0.302140i 0.214971 0.976620i \(-0.431034\pi\)
−0.738293 + 0.674480i \(0.764368\pi\)
\(642\) −25.4452 −1.00424
\(643\) 19.3539 + 11.1740i 0.763245 + 0.440660i 0.830460 0.557079i \(-0.188078\pi\)
−0.0672147 + 0.997739i \(0.521411\pi\)
\(644\) −0.469078 1.75062i −0.0184843 0.0689842i
\(645\) 6.59022 + 9.18116i 0.259490 + 0.361508i
\(646\) −25.1710 + 43.5974i −0.990340 + 1.71532i
\(647\) 4.51668 + 1.21024i 0.177569 + 0.0475795i 0.346508 0.938047i \(-0.387367\pi\)
−0.168939 + 0.985627i \(0.554034\pi\)
\(648\) −13.2474 22.9452i −0.520408 0.901373i
\(649\) −2.38033 −0.0934361
\(650\) −34.4102 33.1334i −1.34968 1.29960i
\(651\) 0.128662 0.00504265
\(652\) 51.5111 + 89.2199i 2.01733 + 3.49412i
\(653\) −23.6714 6.34274i −0.926335 0.248211i −0.236044 0.971742i \(-0.575851\pi\)
−0.690291 + 0.723532i \(0.742518\pi\)
\(654\) 8.12969 14.0810i 0.317896 0.550612i
\(655\) −9.73212 13.5583i −0.380265 0.529766i
\(656\) 15.6854 + 58.5387i 0.612412 + 2.28555i
\(657\) −10.3428 5.97141i −0.403510 0.232967i
\(658\) −0.102733 −0.00400494
\(659\) −35.2803 20.3691i −1.37433 0.793467i −0.382856 0.923808i \(-0.625059\pi\)
−0.991469 + 0.130341i \(0.958393\pi\)
\(660\) −11.1160 + 24.5857i −0.432690 + 0.956997i
\(661\) 4.42523 16.5152i 0.172122 0.642367i −0.824902 0.565275i \(-0.808770\pi\)
0.997024 0.0770916i \(-0.0245634\pi\)
\(662\) 33.7389 33.7389i 1.31130 1.31130i
\(663\) 10.4893 7.27440i 0.407371 0.282514i
\(664\) 68.3547i 2.65268i
\(665\) −0.617206 1.63592i −0.0239342 0.0634381i
\(666\) 2.57515 + 4.46029i 0.0997850 + 0.172833i
\(667\) 3.87071 + 14.4457i 0.149875 + 0.559340i
\(668\) 12.7589i 0.493657i
\(669\) 12.1850 3.26496i 0.471099 0.126231i
\(670\) −0.850967 + 0.0844984i −0.0328757 + 0.00326446i
\(671\) −3.64628 3.64628i −0.140763 0.140763i
\(672\) 1.91233 0.512407i 0.0737696 0.0197665i
\(673\) −6.16392 + 23.0041i −0.237602 + 0.886742i 0.739357 + 0.673314i \(0.235130\pi\)
−0.976959 + 0.213428i \(0.931537\pi\)
\(674\) −72.7057 19.4814i −2.80052 0.750396i
\(675\) −25.0933 + 12.4245i −0.965842 + 0.478218i
\(676\) −41.5055 50.3805i −1.59636 1.93771i
\(677\) 26.1344 + 26.1344i 1.00443 + 1.00443i 0.999990 + 0.00443504i \(0.00141172\pi\)
0.00443504 + 0.999990i \(0.498588\pi\)
\(678\) −18.2004 + 10.5080i −0.698981 + 0.403557i
\(679\) 1.45598 0.840613i 0.0558756 0.0322598i
\(680\) −30.9686 + 37.7968i −1.18759 + 1.44944i
\(681\) 8.41509 8.41509i 0.322467 0.322467i
\(682\) 2.16761 3.75440i 0.0830019 0.143764i
\(683\) −13.3938 + 23.1988i −0.512500 + 0.887676i 0.487395 + 0.873181i \(0.337947\pi\)
−0.999895 + 0.0144941i \(0.995386\pi\)
\(684\) 32.5667 32.5667i 1.24522 1.24522i
\(685\) −4.08406 41.1298i −0.156044 1.57149i
\(686\) −3.60610 + 2.08198i −0.137682 + 0.0794905i
\(687\) 19.8987 11.4885i 0.759182 0.438314i
\(688\) −30.7796 30.7796i −1.17346 1.17346i
\(689\) 18.0201 + 3.26131i 0.686510 + 0.124246i
\(690\) 14.3966 + 20.0566i 0.548068 + 0.763541i
\(691\) −38.9899 10.4473i −1.48325 0.397435i −0.575796 0.817593i \(-0.695308\pi\)
−0.907451 + 0.420158i \(0.861975\pi\)
\(692\) −0.102532 + 0.382655i −0.00389769 + 0.0145464i
\(693\) −0.264991 + 0.0710042i −0.0100662 + 0.00269723i
\(694\) −13.4464 13.4464i −0.510419 0.510419i
\(695\) −2.41062 24.2768i −0.0914399 0.920873i
\(696\) −46.6850 + 12.5092i −1.76959 + 0.474160i
\(697\) 14.8102i 0.560976i
\(698\) 2.50548 + 9.35058i 0.0948339 + 0.353925i
\(699\) −10.8801 18.8449i −0.411524 0.712780i
\(700\) −0.554686 2.76553i −0.0209652 0.104527i
\(701\) 24.9781i 0.943410i −0.881756 0.471705i \(-0.843639\pi\)
0.881756 0.471705i \(-0.156361\pi\)
\(702\) −50.3582 + 18.0721i −1.90065 + 0.682086i
\(703\) 7.25852 7.25852i 0.273760 0.273760i
\(704\) 6.55185 24.4519i 0.246932 0.921564i
\(705\) 0.936386 0.353284i 0.0352663 0.0133054i
\(706\) 4.04624 + 2.33610i 0.152282 + 0.0879202i
\(707\) 0.933677 0.0351145
\(708\) −7.24528 4.18306i −0.272294 0.157209i
\(709\) 2.64139 + 9.85779i 0.0991993 + 0.370217i 0.997623 0.0689135i \(-0.0219533\pi\)
−0.898423 + 0.439130i \(0.855287\pi\)
\(710\) 32.0025 + 5.25742i 1.20103 + 0.197307i
\(711\) 9.99535 17.3124i 0.374855 0.649268i
\(712\) −4.40087 1.17921i −0.164930 0.0441927i
\(713\) −1.41841 2.45675i −0.0531198 0.0920061i
\(714\) 1.05394 0.0394428
\(715\) 12.2982 + 8.48010i 0.459928 + 0.317138i
\(716\) 106.570 3.98272
\(717\) −16.7059 28.9355i −0.623893 1.08061i
\(718\) 31.0572 + 8.32175i 1.15904 + 0.310565i
\(719\) 14.2117 24.6153i 0.530005 0.917996i −0.469382 0.882995i \(-0.655523\pi\)
0.999387 0.0350008i \(-0.0111434\pi\)
\(720\) 26.7407 19.1944i 0.996566 0.715333i
\(721\) 0.317850 + 1.18623i 0.0118373 + 0.0441776i
\(722\) −67.5612 39.0065i −2.51437 1.45167i
\(723\) 7.09498 0.263865
\(724\) 97.9570 + 56.5555i 3.64054 + 2.10187i
\(725\) 4.57713 + 22.8204i 0.169990 + 0.847530i
\(726\) −6.73044 + 25.1183i −0.249790 + 0.932229i
\(727\) 8.56116 8.56116i 0.317516 0.317516i −0.530296 0.847812i \(-0.677919\pi\)
0.847812 + 0.530296i \(0.177919\pi\)
\(728\) −0.268054 3.23172i −0.00993473 0.119775i
\(729\) 26.1513i 0.968566i
\(730\) −22.1208 + 48.9255i −0.818728 + 1.81081i
\(731\) −5.31873 9.21232i −0.196720 0.340730i
\(732\) −4.69082 17.5064i −0.173378 0.647054i
\(733\) 17.2200i 0.636036i 0.948085 + 0.318018i \(0.103017\pi\)
−0.948085 + 0.318018i \(0.896983\pi\)
\(734\) 35.8610 9.60893i 1.32365 0.354672i
\(735\) 12.8430 15.6747i 0.473720 0.578169i
\(736\) −30.8663 30.8663i −1.13775 1.13775i
\(737\) 0.258313 0.0692148i 0.00951508 0.00254956i
\(738\) 4.90365 18.3007i 0.180506 0.673656i
\(739\) 15.7497 + 4.22013i 0.579364 + 0.155240i 0.536588 0.843845i \(-0.319713\pi\)
0.0427762 + 0.999085i \(0.486380\pi\)
\(740\) 13.4526 9.65626i 0.494528 0.354971i
\(741\) 18.5477 + 26.7449i 0.681367 + 0.982497i
\(742\) 1.06915 + 1.06915i 0.0392498 + 0.0392498i
\(743\) 28.6826 16.5599i 1.05226 0.607525i 0.128982 0.991647i \(-0.458829\pi\)
0.923282 + 0.384122i \(0.125496\pi\)
\(744\) 7.93963 4.58395i 0.291081 0.168056i
\(745\) 24.0786 + 19.7287i 0.882171 + 0.722802i
\(746\) −54.1344 + 54.1344i −1.98200 + 1.98200i
\(747\) −5.62634 + 9.74510i −0.205857 + 0.356555i
\(748\) 12.6982 21.9940i 0.464293 0.804179i
\(749\) −0.588194 + 0.588194i −0.0214921 + 0.0214921i
\(750\) 20.3679 + 32.5802i 0.743732 + 1.18966i
\(751\) 18.9961 10.9674i 0.693176 0.400205i −0.111625 0.993750i \(-0.535605\pi\)
0.804801 + 0.593545i \(0.202272\pi\)
\(752\) −3.33829 + 1.92736i −0.121735 + 0.0702836i
\(753\) −11.9843 11.9843i −0.436732 0.436732i
\(754\) 3.67617 + 44.3207i 0.133878 + 1.61407i
\(755\) −4.35528 + 26.5111i −0.158505 + 0.964838i
\(756\) −3.05152 0.817652i −0.110983 0.0297377i
\(757\) 0.762791 2.84678i 0.0277241 0.103468i −0.950677 0.310181i \(-0.899610\pi\)
0.978401 + 0.206714i \(0.0662768\pi\)
\(758\) 24.2556 6.49926i 0.881002 0.236064i
\(759\) −5.45935 5.45935i −0.198162 0.198162i
\(760\) −96.3715 78.9615i −3.49576 2.86423i
\(761\) −21.2875 + 5.70396i −0.771670 + 0.206768i −0.623109 0.782135i \(-0.714131\pi\)
−0.148561 + 0.988903i \(0.547464\pi\)
\(762\) 40.0993i 1.45265i
\(763\) −0.137572 0.513426i −0.00498044 0.0185873i
\(764\) −49.2241 85.2587i −1.78087 3.08455i
\(765\) 7.52619 2.83951i 0.272110 0.102663i
\(766\) 55.8361i 2.01744i
\(767\) −2.99330 + 3.53477i −0.108082 + 0.127633i
\(768\) −3.12197 + 3.12197i −0.112654 + 0.112654i
\(769\) 5.46718 20.4038i 0.197152 0.735780i −0.794548 0.607202i \(-0.792292\pi\)
0.991699 0.128578i \(-0.0410413\pi\)
\(770\) 0.435388 + 1.15400i 0.0156903 + 0.0415874i
\(771\) −19.5984 11.3152i −0.705820 0.407506i