Properties

Label 177.2.e.a.22.2
Level $177$
Weight $2$
Character 177.22
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 22.2
Character \(\chi\) \(=\) 177.22
Dual form 177.2.e.a.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.335352 - 2.04556i) q^{2} +(0.267528 + 0.963550i) q^{3} +(-2.17654 + 0.733362i) q^{4} +(0.939837 - 1.38616i) q^{5} +(1.88128 - 0.870373i) q^{6} +(4.70399 + 1.03543i) q^{7} +(0.288147 + 0.543503i) q^{8} +(-0.856857 + 0.515554i) q^{9} +O(q^{10})\) \(q+(-0.335352 - 2.04556i) q^{2} +(0.267528 + 0.963550i) q^{3} +(-2.17654 + 0.733362i) q^{4} +(0.939837 - 1.38616i) q^{5} +(1.88128 - 0.870373i) q^{6} +(4.70399 + 1.03543i) q^{7} +(0.288147 + 0.543503i) q^{8} +(-0.856857 + 0.515554i) q^{9} +(-3.15064 - 1.45764i) q^{10} +(-1.41839 - 1.07823i) q^{11} +(-1.28892 - 1.90101i) q^{12} +(-3.26031 - 1.96166i) q^{13} +(0.540532 - 9.96952i) q^{14} +(1.58706 + 0.534744i) q^{15} +(-2.64175 + 2.00820i) q^{16} +(-1.03358 + 0.227509i) q^{17} +(1.34194 + 1.57986i) q^{18} +(3.52321 + 0.383172i) q^{19} +(-1.02904 + 3.70626i) q^{20} +(0.260765 + 4.80954i) q^{21} +(-1.72993 + 3.26299i) q^{22} +(2.75545 - 3.24397i) q^{23} +(-0.446604 + 0.423046i) q^{24} +(0.812557 + 2.03936i) q^{25} +(-2.91934 + 7.32699i) q^{26} +(-0.725995 - 0.687699i) q^{27} +(-10.9978 + 1.19608i) q^{28} +(-1.14152 + 6.96298i) q^{29} +(0.561624 - 3.42576i) q^{30} +(-7.28939 + 0.792768i) q^{31} +(5.88702 + 5.57649i) q^{32} +(0.659472 - 1.65515i) q^{33} +(0.811997 + 2.03796i) q^{34} +(5.85625 - 5.54733i) q^{35} +(1.48690 - 1.75051i) q^{36} +(1.92944 - 3.63932i) q^{37} +(-0.397715 - 7.33543i) q^{38} +(1.01793 - 3.66627i) q^{39} +(1.02419 + 0.111387i) q^{40} +(4.11714 + 4.84707i) q^{41} +(9.75074 - 2.14630i) q^{42} +(-5.34772 + 4.06523i) q^{43} +(3.87793 + 1.30663i) q^{44} +(-0.0906681 + 1.67227i) q^{45} +(-7.55977 - 4.54856i) q^{46} +(3.53939 + 5.22021i) q^{47} +(-2.64175 - 2.00820i) q^{48} +(14.7024 + 6.80205i) q^{49} +(3.89914 - 2.34604i) q^{50} +(-0.495729 - 0.935045i) q^{51} +(8.53480 + 1.87865i) q^{52} +(-7.36559 + 3.40768i) q^{53} +(-1.16326 + 1.71569i) q^{54} +(-2.82766 + 0.952749i) q^{55} +(0.792683 + 2.85499i) q^{56} +(0.573353 + 3.49730i) q^{57} +14.6260 q^{58} +(-6.99758 - 3.16762i) q^{59} -3.84647 q^{60} +(-1.03271 - 6.29924i) q^{61} +(4.06617 + 14.6450i) q^{62} +(-4.56447 + 1.53795i) q^{63} +(5.70832 - 8.41914i) q^{64} +(-5.78332 + 2.67565i) q^{65} +(-3.60686 - 0.793931i) q^{66} +(5.07044 + 9.56387i) q^{67} +(2.08279 - 1.25317i) q^{68} +(3.86288 + 1.78716i) q^{69} +(-13.3113 - 10.1190i) q^{70} +(-7.41736 - 10.9398i) q^{71} +(-0.527106 - 0.317149i) q^{72} +(-0.132562 + 2.44496i) q^{73} +(-8.09147 - 2.72634i) q^{74} +(-1.74765 + 1.32853i) q^{75} +(-7.94941 + 1.74980i) q^{76} +(-5.55568 - 6.54065i) q^{77} +(-7.84093 - 0.852753i) q^{78} +(4.04393 - 14.5649i) q^{79} +(0.300872 + 5.54926i) q^{80} +(0.468408 - 0.883512i) q^{81} +(8.53427 - 10.0473i) q^{82} +(-10.8798 + 10.3059i) q^{83} +(-4.09470 - 10.2769i) q^{84} +(-0.656037 + 1.64653i) q^{85} +(10.1090 + 9.57578i) q^{86} +(-7.01457 + 0.762880i) q^{87} +(0.177318 - 1.08159i) q^{88} +(0.177813 - 1.08461i) q^{89} +(3.45114 - 0.375334i) q^{90} +(-13.3053 - 12.6034i) q^{91} +(-3.61835 + 9.08136i) q^{92} +(-2.71399 - 6.81160i) q^{93} +(9.49130 - 8.99064i) q^{94} +(3.84238 - 4.52360i) q^{95} +(-3.79828 + 7.16431i) q^{96} +(0.525722 + 9.69636i) q^{97} +(8.98351 - 32.3557i) q^{98} +(1.77125 + 0.192635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{13}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.335352 2.04556i −0.237130 1.44643i −0.789972 0.613142i \(-0.789905\pi\)
0.552843 0.833286i \(-0.313543\pi\)
\(3\) 0.267528 + 0.963550i 0.154458 + 0.556306i
\(4\) −2.17654 + 0.733362i −1.08827 + 0.366681i
\(5\) 0.939837 1.38616i 0.420308 0.619908i −0.557308 0.830306i \(-0.688166\pi\)
0.977616 + 0.210398i \(0.0674761\pi\)
\(6\) 1.88128 0.870373i 0.768030 0.355328i
\(7\) 4.70399 + 1.03543i 1.77794 + 0.391355i 0.977980 0.208697i \(-0.0669223\pi\)
0.799961 + 0.600052i \(0.204853\pi\)
\(8\) 0.288147 + 0.543503i 0.101875 + 0.192157i
\(9\) −0.856857 + 0.515554i −0.285619 + 0.171851i
\(10\) −3.15064 1.45764i −0.996319 0.460946i
\(11\) −1.41839 1.07823i −0.427662 0.325100i 0.369104 0.929388i \(-0.379665\pi\)
−0.796766 + 0.604288i \(0.793458\pi\)
\(12\) −1.28892 1.90101i −0.372078 0.548774i
\(13\) −3.26031 1.96166i −0.904246 0.544067i −0.0141808 0.999899i \(-0.504514\pi\)
−0.890066 + 0.455832i \(0.849342\pi\)
\(14\) 0.540532 9.96952i 0.144463 2.66447i
\(15\) 1.58706 + 0.534744i 0.409778 + 0.138070i
\(16\) −2.64175 + 2.00820i −0.660437 + 0.502051i
\(17\) −1.03358 + 0.227509i −0.250681 + 0.0551790i −0.338533 0.940954i \(-0.609931\pi\)
0.0878522 + 0.996134i \(0.472000\pi\)
\(18\) 1.34194 + 1.57986i 0.316299 + 0.372376i
\(19\) 3.52321 + 0.383172i 0.808279 + 0.0879057i 0.502922 0.864332i \(-0.332258\pi\)
0.305358 + 0.952238i \(0.401224\pi\)
\(20\) −1.02904 + 3.70626i −0.230100 + 0.828746i
\(21\) 0.260765 + 4.80954i 0.0569037 + 1.04953i
\(22\) −1.72993 + 3.26299i −0.368822 + 0.695673i
\(23\) 2.75545 3.24397i 0.574551 0.676414i −0.395738 0.918364i \(-0.629511\pi\)
0.970289 + 0.241950i \(0.0777870\pi\)
\(24\) −0.446604 + 0.423046i −0.0911628 + 0.0863540i
\(25\) 0.812557 + 2.03936i 0.162511 + 0.407873i
\(26\) −2.91934 + 7.32699i −0.572530 + 1.43694i
\(27\) −0.725995 0.687699i −0.139718 0.132348i
\(28\) −10.9978 + 1.19608i −2.07838 + 0.226038i
\(29\) −1.14152 + 6.96298i −0.211975 + 1.29299i 0.639579 + 0.768726i \(0.279109\pi\)
−0.851554 + 0.524267i \(0.824339\pi\)
\(30\) 0.561624 3.42576i 0.102538 0.625455i
\(31\) −7.28939 + 0.792768i −1.30921 + 0.142385i −0.735978 0.677006i \(-0.763277\pi\)
−0.573235 + 0.819391i \(0.694312\pi\)
\(32\) 5.88702 + 5.57649i 1.04069 + 0.985793i
\(33\) 0.659472 1.65515i 0.114799 0.288125i
\(34\) 0.811997 + 2.03796i 0.139256 + 0.349507i
\(35\) 5.85625 5.54733i 0.989886 0.937670i
\(36\) 1.48690 1.75051i 0.247816 0.291752i
\(37\) 1.92944 3.63932i 0.317198 0.598300i −0.672727 0.739891i \(-0.734877\pi\)
0.989925 + 0.141591i \(0.0452219\pi\)
\(38\) −0.397715 7.33543i −0.0645179 1.18996i
\(39\) 1.01793 3.66627i 0.163000 0.587073i
\(40\) 1.02419 + 0.111387i 0.161939 + 0.0176119i
\(41\) 4.11714 + 4.84707i 0.642989 + 0.756985i 0.983034 0.183424i \(-0.0587181\pi\)
−0.340045 + 0.940409i \(0.610442\pi\)
\(42\) 9.75074 2.14630i 1.50457 0.331181i
\(43\) −5.34772 + 4.06523i −0.815519 + 0.619942i −0.927523 0.373766i \(-0.878066\pi\)
0.112004 + 0.993708i \(0.464273\pi\)
\(44\) 3.87793 + 1.30663i 0.584619 + 0.196981i
\(45\) −0.0906681 + 1.67227i −0.0135160 + 0.249288i
\(46\) −7.55977 4.54856i −1.11463 0.670649i
\(47\) 3.53939 + 5.22021i 0.516273 + 0.761446i 0.993065 0.117571i \(-0.0375106\pi\)
−0.476791 + 0.879016i \(0.658200\pi\)
\(48\) −2.64175 2.00820i −0.381303 0.289859i
\(49\) 14.7024 + 6.80205i 2.10034 + 0.971722i
\(50\) 3.89914 2.34604i 0.551422 0.331780i
\(51\) −0.495729 0.935045i −0.0694160 0.130932i
\(52\) 8.53480 + 1.87865i 1.18356 + 0.260522i
\(53\) −7.36559 + 3.40768i −1.01174 + 0.468081i −0.854485 0.519476i \(-0.826127\pi\)
−0.157257 + 0.987558i \(0.550265\pi\)
\(54\) −1.16326 + 1.71569i −0.158300 + 0.233475i
\(55\) −2.82766 + 0.952749i −0.381281 + 0.128469i
\(56\) 0.792683 + 2.85499i 0.105927 + 0.381514i
\(57\) 0.573353 + 3.49730i 0.0759424 + 0.463228i
\(58\) 14.6260 1.92049
\(59\) −6.99758 3.16762i −0.911008 0.412389i
\(60\) −3.84647 −0.496577
\(61\) −1.03271 6.29924i −0.132225 0.806535i −0.966780 0.255611i \(-0.917724\pi\)
0.834555 0.550924i \(-0.185725\pi\)
\(62\) 4.06617 + 14.6450i 0.516404 + 1.85992i
\(63\) −4.56447 + 1.53795i −0.575069 + 0.193763i
\(64\) 5.70832 8.41914i 0.713540 1.05239i
\(65\) −5.78332 + 2.67565i −0.717333 + 0.331874i
\(66\) −3.60686 0.793931i −0.443974 0.0977261i
\(67\) 5.07044 + 9.56387i 0.619453 + 1.16841i 0.972521 + 0.232815i \(0.0747935\pi\)
−0.353068 + 0.935598i \(0.614862\pi\)
\(68\) 2.08279 1.25317i 0.252575 0.151970i
\(69\) 3.86288 + 1.78716i 0.465037 + 0.215149i
\(70\) −13.3113 10.1190i −1.59100 1.20945i
\(71\) −7.41736 10.9398i −0.880278 1.29831i −0.953622 0.301007i \(-0.902677\pi\)
0.0733438 0.997307i \(-0.476633\pi\)
\(72\) −0.527106 0.317149i −0.0621200 0.0373764i
\(73\) −0.132562 + 2.44496i −0.0155152 + 0.286161i 0.980472 + 0.196661i \(0.0630098\pi\)
−0.995987 + 0.0895004i \(0.971473\pi\)
\(74\) −8.09147 2.72634i −0.940615 0.316930i
\(75\) −1.74765 + 1.32853i −0.201801 + 0.153405i
\(76\) −7.94941 + 1.74980i −0.911860 + 0.200716i
\(77\) −5.55568 6.54065i −0.633128 0.745376i
\(78\) −7.84093 0.852753i −0.887811 0.0965552i
\(79\) 4.04393 14.5649i 0.454978 1.63868i −0.279570 0.960125i \(-0.590192\pi\)
0.734548 0.678557i \(-0.237394\pi\)
\(80\) 0.300872 + 5.54926i 0.0336385 + 0.620426i
\(81\) 0.468408 0.883512i 0.0520454 0.0981680i
\(82\) 8.53427 10.0473i 0.942453 1.10954i
\(83\) −10.8798 + 10.3059i −1.19421 + 1.13122i −0.205932 + 0.978566i \(0.566022\pi\)
−0.988280 + 0.152651i \(0.951219\pi\)
\(84\) −4.09470 10.2769i −0.446768 1.12130i
\(85\) −0.656037 + 1.64653i −0.0711572 + 0.178591i
\(86\) 10.1090 + 9.57578i 1.09008 + 1.03258i
\(87\) −7.01457 + 0.762880i −0.752040 + 0.0817893i
\(88\) 0.177318 1.08159i 0.0189021 0.115298i
\(89\) 0.177813 1.08461i 0.0188481 0.114969i −0.975727 0.218992i \(-0.929723\pi\)
0.994575 + 0.104023i \(0.0331716\pi\)
\(90\) 3.45114 0.375334i 0.363782 0.0395637i
\(91\) −13.3053 12.6034i −1.39477 1.32120i
\(92\) −3.61835 + 9.08136i −0.377239 + 0.946798i
\(93\) −2.71399 6.81160i −0.281428 0.706330i
\(94\) 9.49130 8.99064i 0.978953 0.927313i
\(95\) 3.84238 4.52360i 0.394220 0.464111i
\(96\) −3.79828 + 7.16431i −0.387660 + 0.731204i
\(97\) 0.525722 + 9.69636i 0.0533789 + 0.984517i 0.895453 + 0.445155i \(0.146852\pi\)
−0.842074 + 0.539361i \(0.818666\pi\)
\(98\) 8.98351 32.3557i 0.907472 3.26842i
\(99\) 1.77125 + 0.192635i 0.178017 + 0.0193605i
\(100\) −3.26415 3.84286i −0.326415 0.384286i
\(101\) −0.884842 + 0.194768i −0.0880451 + 0.0193802i −0.258774 0.965938i \(-0.583319\pi\)
0.170729 + 0.985318i \(0.445388\pi\)
\(102\) −1.74644 + 1.32761i −0.172924 + 0.131453i
\(103\) 9.15495 + 3.08466i 0.902064 + 0.303941i 0.731850 0.681466i \(-0.238657\pi\)
0.170215 + 0.985407i \(0.445554\pi\)
\(104\) 0.126721 2.33723i 0.0124260 0.229184i
\(105\) 6.91184 + 4.15872i 0.674527 + 0.405849i
\(106\) 9.44068 + 13.9240i 0.916960 + 1.35241i
\(107\) −8.03970 6.11162i −0.777227 0.590833i 0.139558 0.990214i \(-0.455432\pi\)
−0.916785 + 0.399381i \(0.869225\pi\)
\(108\) 2.08449 + 0.964388i 0.200580 + 0.0927983i
\(109\) −7.66547 + 4.61216i −0.734219 + 0.441765i −0.832949 0.553350i \(-0.813349\pi\)
0.0987306 + 0.995114i \(0.468522\pi\)
\(110\) 2.89717 + 5.46463i 0.276234 + 0.521032i
\(111\) 4.02284 + 0.885495i 0.381831 + 0.0840474i
\(112\) −14.5061 + 6.71124i −1.37070 + 0.634153i
\(113\) 3.25081 4.79459i 0.305811 0.451037i −0.643468 0.765473i \(-0.722505\pi\)
0.949279 + 0.314436i \(0.101815\pi\)
\(114\) 6.96165 2.34565i 0.652018 0.219690i
\(115\) −1.90697 6.86828i −0.177826 0.640470i
\(116\) −2.62181 15.9923i −0.243429 1.48485i
\(117\) 3.80496 0.351769
\(118\) −4.13289 + 15.3762i −0.380464 + 1.41550i
\(119\) −5.09754 −0.467291
\(120\) 0.166673 + 1.01666i 0.0152151 + 0.0928077i
\(121\) −2.09356 7.54033i −0.190324 0.685484i
\(122\) −12.5391 + 4.22493i −1.13524 + 0.382507i
\(123\) −3.56894 + 5.26380i −0.321801 + 0.474621i
\(124\) 15.2843 7.07125i 1.37257 0.635017i
\(125\) 11.7684 + 2.59043i 1.05260 + 0.231695i
\(126\) 4.67667 + 8.82113i 0.416631 + 0.785848i
\(127\) 8.92311 5.36886i 0.791798 0.476409i −0.0613258 0.998118i \(-0.519533\pi\)
0.853124 + 0.521709i \(0.174705\pi\)
\(128\) −4.41727 2.04365i −0.390435 0.180635i
\(129\) −5.34772 4.06523i −0.470840 0.357923i
\(130\) 7.41265 + 10.9328i 0.650132 + 0.958874i
\(131\) 12.4784 + 7.50799i 1.09024 + 0.655976i 0.942889 0.333108i \(-0.108097\pi\)
0.147352 + 0.989084i \(0.452925\pi\)
\(132\) −0.221544 + 4.08613i −0.0192829 + 0.355652i
\(133\) 16.1764 + 5.45046i 1.40267 + 0.472615i
\(134\) 17.8631 13.5791i 1.54313 1.17306i
\(135\) −1.63558 + 0.360017i −0.140768 + 0.0309854i
\(136\) −0.421476 0.496199i −0.0361412 0.0425488i
\(137\) 7.86610 + 0.855490i 0.672046 + 0.0730894i 0.437779 0.899083i \(-0.355765\pi\)
0.234267 + 0.972172i \(0.424731\pi\)
\(138\) 2.36031 8.50108i 0.200923 0.723660i
\(139\) −0.996322 18.3761i −0.0845069 1.55864i −0.666537 0.745472i \(-0.732224\pi\)
0.582031 0.813167i \(-0.302258\pi\)
\(140\) −8.67816 + 16.3687i −0.733438 + 1.38341i
\(141\) −4.08305 + 4.80693i −0.343854 + 0.404817i
\(142\) −19.8905 + 18.8413i −1.66918 + 1.58113i
\(143\) 2.50927 + 6.29778i 0.209835 + 0.526647i
\(144\) 1.22826 3.08271i 0.102355 0.256892i
\(145\) 8.57893 + 8.12639i 0.712441 + 0.674860i
\(146\) 5.04577 0.548760i 0.417591 0.0454157i
\(147\) −2.62081 + 15.9862i −0.216161 + 1.31852i
\(148\) −1.53058 + 9.33610i −0.125813 + 0.767422i
\(149\) −1.60036 + 0.174050i −0.131107 + 0.0142587i −0.173437 0.984845i \(-0.555487\pi\)
0.0423303 + 0.999104i \(0.486522\pi\)
\(150\) 3.30366 + 3.12939i 0.269742 + 0.255513i
\(151\) 1.17004 2.93657i 0.0952162 0.238975i −0.873652 0.486551i \(-0.838255\pi\)
0.968868 + 0.247576i \(0.0796341\pi\)
\(152\) 0.806946 + 2.02528i 0.0654520 + 0.164272i
\(153\) 0.768341 0.727811i 0.0621166 0.0588400i
\(154\) −11.5162 + 13.5579i −0.927999 + 1.09253i
\(155\) −5.75193 + 10.8493i −0.462006 + 0.871436i
\(156\) 0.473126 + 8.72630i 0.0378804 + 0.698663i
\(157\) 3.93727 14.1808i 0.314228 1.13175i −0.622767 0.782407i \(-0.713992\pi\)
0.936996 0.349341i \(-0.113595\pi\)
\(158\) −31.1495 3.38772i −2.47813 0.269512i
\(159\) −5.25398 6.18546i −0.416668 0.490539i
\(160\) 13.2627 2.91935i 1.04851 0.230794i
\(161\) 16.3205 12.4065i 1.28624 0.977771i
\(162\) −1.96436 0.661869i −0.154334 0.0520013i
\(163\) 1.01447 18.7107i 0.0794590 1.46554i −0.638592 0.769545i \(-0.720483\pi\)
0.718051 0.695990i \(-0.245034\pi\)
\(164\) −12.5158 7.53049i −0.977318 0.588033i
\(165\) −1.67450 2.46970i −0.130360 0.192266i
\(166\) 24.7298 + 18.7991i 1.91941 + 1.45910i
\(167\) −11.2616 5.21018i −0.871451 0.403176i −0.0673927 0.997727i \(-0.521468\pi\)
−0.804058 + 0.594550i \(0.797330\pi\)
\(168\) −2.53886 + 1.52758i −0.195877 + 0.117855i
\(169\) 0.692175 + 1.30558i 0.0532442 + 0.100429i
\(170\) 3.58807 + 0.789795i 0.275193 + 0.0605745i
\(171\) −3.21643 + 1.48808i −0.245967 + 0.113796i
\(172\) 8.65824 12.7699i 0.660184 0.973699i
\(173\) −4.65253 + 1.56762i −0.353725 + 0.119184i −0.490554 0.871411i \(-0.663206\pi\)
0.136829 + 0.990595i \(0.456309\pi\)
\(174\) 3.91287 + 14.0929i 0.296634 + 1.06838i
\(175\) 1.71065 + 10.4345i 0.129313 + 0.788773i
\(176\) 5.91235 0.445660
\(177\) 1.18011 7.58995i 0.0887023 0.570496i
\(178\) −2.27826 −0.170763
\(179\) −3.53663 21.5725i −0.264340 1.61240i −0.701262 0.712904i \(-0.747380\pi\)
0.436922 0.899499i \(-0.356069\pi\)
\(180\) −1.02904 3.70626i −0.0767000 0.276249i
\(181\) 6.51115 2.19386i 0.483970 0.163068i −0.0667313 0.997771i \(-0.521257\pi\)
0.550701 + 0.834703i \(0.314360\pi\)
\(182\) −21.3191 + 31.4434i −1.58028 + 2.33074i
\(183\) 5.79335 2.68029i 0.428257 0.198133i
\(184\) 2.55708 + 0.562855i 0.188510 + 0.0414943i
\(185\) −3.23130 6.09487i −0.237570 0.448104i
\(186\) −13.0234 + 7.83591i −0.954921 + 0.574557i
\(187\) 1.71134 + 0.791748i 0.125145 + 0.0578984i
\(188\) −11.5319 8.76634i −0.841052 0.639351i
\(189\) −2.70301 3.98665i −0.196615 0.289986i
\(190\) −10.5418 6.34281i −0.764785 0.460156i
\(191\) −0.527752 + 9.73382i −0.0381868 + 0.704315i 0.915280 + 0.402818i \(0.131969\pi\)
−0.953467 + 0.301497i \(0.902514\pi\)
\(192\) 9.63940 + 3.24789i 0.695664 + 0.234397i
\(193\) −13.8736 + 10.5464i −0.998644 + 0.759149i −0.970659 0.240459i \(-0.922702\pi\)
−0.0279846 + 0.999608i \(0.508909\pi\)
\(194\) 19.6582 4.32709i 1.41137 0.310667i
\(195\) −4.12533 4.85671i −0.295421 0.347796i
\(196\) −36.9887 4.02277i −2.64205 0.287340i
\(197\) −1.08558 + 3.90990i −0.0773444 + 0.278569i −0.992102 0.125434i \(-0.959968\pi\)
0.914758 + 0.404003i \(0.132381\pi\)
\(198\) −0.199946 3.68779i −0.0142096 0.262080i
\(199\) −3.09576 + 5.83921i −0.219452 + 0.413931i −0.968655 0.248410i \(-0.920092\pi\)
0.749203 + 0.662341i \(0.230437\pi\)
\(200\) −0.874264 + 1.02926i −0.0618198 + 0.0727799i
\(201\) −7.85878 + 7.44423i −0.554315 + 0.525075i
\(202\) 0.695144 + 1.74468i 0.0489102 + 0.122755i
\(203\) −12.5794 + 31.5718i −0.882898 + 2.21591i
\(204\) 1.76470 + 1.67161i 0.123554 + 0.117036i
\(205\) 10.5882 1.15154i 0.739514 0.0804270i
\(206\) 3.23972 19.7614i 0.225722 1.37684i
\(207\) −0.688588 + 4.20020i −0.0478601 + 0.291934i
\(208\) 12.5523 1.36515i 0.870347 0.0946560i
\(209\) −4.58415 4.34233i −0.317092 0.300365i
\(210\) 6.18900 15.5332i 0.427081 1.07189i
\(211\) −4.53762 11.3886i −0.312382 0.784021i −0.998406 0.0564413i \(-0.982025\pi\)
0.686024 0.727579i \(-0.259355\pi\)
\(212\) 13.5324 12.8186i 0.929411 0.880385i
\(213\) 8.55667 10.0737i 0.586294 0.690238i
\(214\) −9.80554 + 18.4952i −0.670293 + 1.26431i
\(215\) 0.609058 + 11.2334i 0.0415374 + 0.766113i
\(216\) 0.164573 0.592739i 0.0111978 0.0403308i
\(217\) −35.1101 3.81845i −2.38343 0.259213i
\(218\) 12.0051 + 14.1335i 0.813086 + 0.957239i
\(219\) −2.39131 + 0.526367i −0.161590 + 0.0355686i
\(220\) 5.45580 4.14739i 0.367830 0.279617i
\(221\) 3.81610 + 1.28579i 0.256698 + 0.0864918i
\(222\) 0.462261 8.52591i 0.0310250 0.572222i
\(223\) 3.62428 + 2.18066i 0.242700 + 0.146028i 0.631707 0.775207i \(-0.282354\pi\)
−0.389008 + 0.921235i \(0.627182\pi\)
\(224\) 21.9185 + 32.3273i 1.46449 + 2.15996i
\(225\) −1.74765 1.32853i −0.116510 0.0885684i
\(226\) −10.8978 5.04185i −0.724910 0.335379i
\(227\) 20.4932 12.3304i 1.36018 0.818396i 0.366480 0.930426i \(-0.380563\pi\)
0.993705 + 0.112030i \(0.0357353\pi\)
\(228\) −3.81271 7.19153i −0.252503 0.476271i
\(229\) 3.92564 + 0.864098i 0.259413 + 0.0571012i 0.342773 0.939418i \(-0.388634\pi\)
−0.0833594 + 0.996520i \(0.526565\pi\)
\(230\) −13.4100 + 6.20411i −0.884227 + 0.409087i
\(231\) 4.81594 7.10298i 0.316866 0.467342i
\(232\) −4.11332 + 1.38594i −0.270053 + 0.0909914i
\(233\) 1.92130 + 6.91989i 0.125868 + 0.453337i 0.999444 0.0333519i \(-0.0106182\pi\)
−0.873575 + 0.486689i \(0.838204\pi\)
\(234\) −1.27600 7.78327i −0.0834148 0.508808i
\(235\) 10.5625 0.689020
\(236\) 17.5535 + 1.76269i 1.14264 + 0.114741i
\(237\) 15.1159 0.981883
\(238\) 1.70947 + 10.4273i 0.110809 + 0.675902i
\(239\) −2.10304 7.57447i −0.136034 0.489952i 0.863871 0.503713i \(-0.168033\pi\)
−0.999905 + 0.0137616i \(0.995619\pi\)
\(240\) −5.26650 + 1.77449i −0.339951 + 0.114543i
\(241\) −7.29204 + 10.7549i −0.469721 + 0.692787i −0.986579 0.163284i \(-0.947791\pi\)
0.516858 + 0.856071i \(0.327102\pi\)
\(242\) −14.7221 + 6.81117i −0.946372 + 0.437838i
\(243\) 0.976621 + 0.214970i 0.0626502 + 0.0137904i
\(244\) 6.86735 + 12.9532i 0.439637 + 0.829244i
\(245\) 23.2466 13.9870i 1.48517 0.893596i
\(246\) 11.9643 + 5.53526i 0.762813 + 0.352915i
\(247\) −10.7351 8.16060i −0.683057 0.519247i
\(248\) −2.53129 3.73337i −0.160737 0.237069i
\(249\) −12.8409 7.72610i −0.813758 0.489622i
\(250\) 1.35230 24.9417i 0.0855269 1.57745i
\(251\) 12.9697 + 4.36999i 0.818637 + 0.275831i 0.697299 0.716780i \(-0.254385\pi\)
0.121338 + 0.992611i \(0.461281\pi\)
\(252\) 8.80687 6.69481i 0.554781 0.421733i
\(253\) −7.40607 + 1.63020i −0.465615 + 0.102490i
\(254\) −13.9747 16.4523i −0.876850 1.03231i
\(255\) −1.76202 0.191631i −0.110342 0.0120004i
\(256\) 2.74347 9.88108i 0.171467 0.617568i
\(257\) 1.13246 + 20.8870i 0.0706409 + 1.30290i 0.792080 + 0.610417i \(0.208998\pi\)
−0.721439 + 0.692478i \(0.756519\pi\)
\(258\) −6.52229 + 12.3023i −0.406060 + 0.765911i
\(259\) 12.8443 15.1215i 0.798108 0.939605i
\(260\) 10.6254 10.0649i 0.658960 0.624200i
\(261\) −2.61167 6.55479i −0.161658 0.405732i
\(262\) 11.1734 28.0431i 0.690294 1.73251i
\(263\) 7.13202 + 6.75581i 0.439779 + 0.416581i 0.875287 0.483604i \(-0.160672\pi\)
−0.435508 + 0.900185i \(0.643431\pi\)
\(264\) 1.08960 0.118502i 0.0670605 0.00729327i
\(265\) −2.19887 + 13.4125i −0.135076 + 0.823924i
\(266\) 5.72445 34.9176i 0.350988 2.14093i
\(267\) 1.09265 0.118833i 0.0668689 0.00727243i
\(268\) −18.0498 17.0977i −1.10257 1.04441i
\(269\) 0.445138 1.11721i 0.0271406 0.0681177i −0.914782 0.403948i \(-0.867638\pi\)
0.941922 + 0.335830i \(0.109017\pi\)
\(270\) 1.28493 + 3.22493i 0.0781984 + 0.196263i
\(271\) −4.86880 + 4.61198i −0.295759 + 0.280158i −0.821161 0.570696i \(-0.806673\pi\)
0.525403 + 0.850854i \(0.323915\pi\)
\(272\) 2.27358 2.67667i 0.137856 0.162297i
\(273\) 8.58451 16.1921i 0.519558 0.979990i
\(274\) −0.887959 16.3774i −0.0536436 0.989398i
\(275\) 1.04639 3.76875i 0.0630995 0.227264i
\(276\) −9.71836 1.05694i −0.584976 0.0636200i
\(277\) 12.4768 + 14.6889i 0.749660 + 0.882568i 0.996247 0.0865526i \(-0.0275851\pi\)
−0.246587 + 0.969121i \(0.579309\pi\)
\(278\) −37.2552 + 8.20049i −2.23442 + 0.491833i
\(279\) 5.83725 4.43736i 0.349467 0.265658i
\(280\) 4.70245 + 1.58444i 0.281025 + 0.0946884i
\(281\) 1.54641 28.5218i 0.0922510 1.70147i −0.476674 0.879080i \(-0.658158\pi\)
0.568925 0.822389i \(-0.307359\pi\)
\(282\) 11.2021 + 6.74009i 0.667077 + 0.401367i
\(283\) −8.45613 12.4719i −0.502665 0.741375i 0.488708 0.872447i \(-0.337468\pi\)
−0.991373 + 0.131072i \(0.958158\pi\)
\(284\) 24.1670 + 18.3713i 1.43405 + 1.09013i
\(285\) 5.38666 + 2.49213i 0.319078 + 0.147621i
\(286\) 12.0410 7.24482i 0.711999 0.428395i
\(287\) 14.3482 + 27.0636i 0.846947 + 1.59751i
\(288\) −7.91932 1.74317i −0.466650 0.102717i
\(289\) −14.4122 + 6.66782i −0.847779 + 0.392224i
\(290\) 13.7460 20.2739i 0.807195 1.19052i
\(291\) −9.20229 + 3.10061i −0.539448 + 0.181761i
\(292\) −1.50452 5.41878i −0.0880451 0.317110i
\(293\) 0.628653 + 3.83461i 0.0367263 + 0.224021i 0.998812 0.0487262i \(-0.0155162\pi\)
−0.962086 + 0.272747i \(0.912068\pi\)
\(294\) 33.5797 1.95841
\(295\) −10.9674 + 6.72269i −0.638547 + 0.391410i
\(296\) 2.53394 0.147282
\(297\) 0.288246 + 1.75822i 0.0167257 + 0.102022i
\(298\) 0.892715 + 3.21527i 0.0517136 + 0.186256i
\(299\) −15.3472 + 5.17106i −0.887550 + 0.299050i
\(300\) 2.82953 4.17325i 0.163363 0.240943i
\(301\) −29.3649 + 13.5856i −1.69256 + 0.783063i
\(302\) −6.39930 1.40859i −0.368238 0.0810553i
\(303\) −0.424389 0.800483i −0.0243805 0.0459866i
\(304\) −10.0769 + 6.06308i −0.577951 + 0.347741i
\(305\) −9.70230 4.48876i −0.555552 0.257026i
\(306\) −1.74644 1.32761i −0.0998376 0.0758945i
\(307\) −18.7468 27.6494i −1.06994 1.57804i −0.785006 0.619488i \(-0.787340\pi\)
−0.284929 0.958548i \(-0.591970\pi\)
\(308\) 16.8888 + 10.1617i 0.962329 + 0.579014i
\(309\) −0.523017 + 9.64649i −0.0297534 + 0.548770i
\(310\) 24.1218 + 8.12758i 1.37003 + 0.461615i
\(311\) 0.420774 0.319864i 0.0238599 0.0181378i −0.593176 0.805073i \(-0.702126\pi\)
0.617036 + 0.786935i \(0.288333\pi\)
\(312\) 2.28594 0.503174i 0.129416 0.0284866i
\(313\) 17.1211 + 20.1565i 0.967741 + 1.13931i 0.990213 + 0.139565i \(0.0445705\pi\)
−0.0224718 + 0.999747i \(0.507154\pi\)
\(314\) −30.3280 3.29836i −1.71151 0.186137i
\(315\) −2.15802 + 7.77248i −0.121591 + 0.437930i
\(316\) 1.87958 + 34.6668i 0.105735 + 1.95016i
\(317\) −12.1632 + 22.9422i −0.683152 + 1.28856i 0.262986 + 0.964800i \(0.415293\pi\)
−0.946139 + 0.323762i \(0.895052\pi\)
\(318\) −10.8908 + 12.8216i −0.610725 + 0.719001i
\(319\) 9.12685 8.64541i 0.511006 0.484050i
\(320\) −6.30535 15.8252i −0.352480 0.884658i
\(321\) 3.73800 9.38168i 0.208635 0.523635i
\(322\) −30.8514 29.2240i −1.71928 1.62859i
\(323\) −3.72871 + 0.405521i −0.207471 + 0.0225638i
\(324\) −0.371576 + 2.26651i −0.0206431 + 0.125917i
\(325\) 1.35136 8.24291i 0.0749598 0.457234i
\(326\) −38.6140 + 4.19953i −2.13863 + 0.232590i
\(327\) −6.49477 6.15218i −0.359162 0.340216i
\(328\) −1.44806 + 3.63434i −0.0799555 + 0.200673i
\(329\) 11.2441 + 28.2206i 0.619908 + 1.55585i
\(330\) −4.49037 + 4.25351i −0.247187 + 0.234148i
\(331\) −1.33611 + 1.57299i −0.0734395 + 0.0864596i −0.797655 0.603114i \(-0.793926\pi\)
0.724215 + 0.689574i \(0.242202\pi\)
\(332\) 16.1224 30.4100i 0.884829 1.66896i
\(333\) 0.223006 + 4.11311i 0.0122207 + 0.225397i
\(334\) −6.88112 + 24.7836i −0.376518 + 1.35610i
\(335\) 18.0224 + 1.96005i 0.984668 + 0.107089i
\(336\) −10.3474 12.1819i −0.564497 0.664578i
\(337\) −12.7899 + 2.81528i −0.696712 + 0.153358i −0.549186 0.835700i \(-0.685062\pi\)
−0.147526 + 0.989058i \(0.547131\pi\)
\(338\) 2.43852 1.85371i 0.132638 0.100829i
\(339\) 5.48951 + 1.84963i 0.298149 + 0.100458i
\(340\) 0.220390 4.06485i 0.0119523 0.220447i
\(341\) 11.1940 + 6.73521i 0.606189 + 0.364732i
\(342\) 4.12259 + 6.08037i 0.222924 + 0.328789i
\(343\) 35.2757 + 26.8159i 1.90471 + 1.44792i
\(344\) −3.75039 1.73512i −0.202207 0.0935511i
\(345\) 6.10776 3.67492i 0.328831 0.197851i
\(346\) 4.76689 + 8.99131i 0.256270 + 0.483376i
\(347\) −33.1890 7.30545i −1.78168 0.392177i −0.802740 0.596329i \(-0.796625\pi\)
−0.978939 + 0.204152i \(0.934556\pi\)
\(348\) 14.7080 6.80465i 0.788433 0.364768i
\(349\) 4.59987 6.78430i 0.246225 0.363155i −0.684414 0.729094i \(-0.739942\pi\)
0.930639 + 0.365939i \(0.119252\pi\)
\(350\) 20.7707 6.99846i 1.11024 0.374083i
\(351\) 1.01793 + 3.66627i 0.0543333 + 0.195691i
\(352\) −2.33736 14.2572i −0.124581 0.759914i
\(353\) 5.94587 0.316467 0.158233 0.987402i \(-0.449420\pi\)
0.158233 + 0.987402i \(0.449420\pi\)
\(354\) −15.9214 + 0.131327i −0.846215 + 0.00697997i
\(355\) −22.1353 −1.17482
\(356\) 0.408395 + 2.49110i 0.0216449 + 0.132028i
\(357\) −1.36374 4.91173i −0.0721766 0.259956i
\(358\) −42.9417 + 14.4688i −2.26954 + 0.764698i
\(359\) 8.54580 12.6041i 0.451030 0.665219i −0.532403 0.846491i \(-0.678711\pi\)
0.983433 + 0.181272i \(0.0580213\pi\)
\(360\) −0.935011 + 0.432582i −0.0492794 + 0.0227991i
\(361\) −6.28961 1.38445i −0.331032 0.0728657i
\(362\) −6.67120 12.5832i −0.350630 0.661359i
\(363\) 6.70540 4.03450i 0.351942 0.211757i
\(364\) 38.2024 + 17.6743i 2.00235 + 0.926386i
\(365\) 3.26451 + 2.48162i 0.170872 + 0.129894i
\(366\) −7.42550 10.9518i −0.388137 0.572460i
\(367\) 10.7621 + 6.47532i 0.561775 + 0.338009i 0.767953 0.640506i \(-0.221275\pi\)
−0.206179 + 0.978514i \(0.566103\pi\)
\(368\) −0.764656 + 14.1032i −0.0398604 + 0.735183i
\(369\) −6.02673 2.03064i −0.313739 0.105711i
\(370\) −11.3838 + 8.65373i −0.591815 + 0.449886i
\(371\) −38.1761 + 8.40319i −1.98200 + 0.436272i
\(372\) 10.9025 + 12.8354i 0.565267 + 0.665484i
\(373\) −23.0787 2.50995i −1.19497 0.129961i −0.511070 0.859539i \(-0.670751\pi\)
−0.683897 + 0.729578i \(0.739716\pi\)
\(374\) 1.04567 3.76615i 0.0540702 0.194743i
\(375\) 0.652382 + 12.0325i 0.0336889 + 0.621354i
\(376\) −1.81733 + 3.42785i −0.0937218 + 0.176778i
\(377\) 17.3807 20.4622i 0.895153 1.05386i
\(378\) −7.24846 + 6.86610i −0.372820 + 0.353154i
\(379\) 8.47971 + 21.2825i 0.435574 + 1.09321i 0.968934 + 0.247319i \(0.0795496\pi\)
−0.533361 + 0.845888i \(0.679071\pi\)
\(380\) −5.04566 + 12.6636i −0.258837 + 0.649631i
\(381\) 7.56034 + 7.16154i 0.387328 + 0.366897i
\(382\) 20.0881 2.18471i 1.02780 0.111779i
\(383\) 5.26417 32.1100i 0.268987 1.64075i −0.413972 0.910290i \(-0.635859\pi\)
0.682959 0.730457i \(-0.260693\pi\)
\(384\) 0.787411 4.80300i 0.0401824 0.245102i
\(385\) −14.2878 + 1.55389i −0.728173 + 0.0791936i
\(386\) 26.2259 + 24.8425i 1.33486 + 1.26445i
\(387\) 2.48639 6.24036i 0.126390 0.317215i
\(388\) −8.25520 20.7190i −0.419094 1.05185i
\(389\) 8.67618 8.21851i 0.439900 0.416695i −0.435429 0.900223i \(-0.643403\pi\)
0.875329 + 0.483528i \(0.160645\pi\)
\(390\) −8.55124 + 10.0673i −0.433009 + 0.509778i
\(391\) −2.10996 + 3.97980i −0.106705 + 0.201267i
\(392\) 0.539516 + 9.95078i 0.0272497 + 0.502590i
\(393\) −3.89601 + 14.0321i −0.196528 + 0.707828i
\(394\) 8.36199 + 0.909421i 0.421271 + 0.0458160i
\(395\) −16.3886 19.2942i −0.824601 0.970795i
\(396\) −3.99646 + 0.879688i −0.200830 + 0.0442060i
\(397\) 25.4181 19.3224i 1.27570 0.969761i 0.275736 0.961234i \(-0.411079\pi\)
0.999964 0.00852774i \(-0.00271450\pi\)
\(398\) 12.9826 + 4.37435i 0.650760 + 0.219267i
\(399\) −0.924149 + 17.0449i −0.0462653 + 0.853313i
\(400\) −6.24203 3.75570i −0.312101 0.187785i
\(401\) −0.0616161 0.0908770i −0.00307696 0.00453818i 0.826147 0.563454i \(-0.190528\pi\)
−0.829224 + 0.558916i \(0.811217\pi\)
\(402\) 17.8631 + 13.5791i 0.890928 + 0.677266i
\(403\) 25.3208 + 11.7146i 1.26132 + 0.583548i
\(404\) 1.78306 1.07283i 0.0887105 0.0533753i
\(405\) −0.784458 1.47964i −0.0389800 0.0735241i
\(406\) 68.8005 + 15.1441i 3.41451 + 0.751591i
\(407\) −6.66074 + 3.08159i −0.330161 + 0.152749i
\(408\) 0.365356 0.538860i 0.0180878 0.0266776i
\(409\) 6.35995 2.14292i 0.314479 0.105960i −0.157636 0.987497i \(-0.550387\pi\)
0.472115 + 0.881537i \(0.343491\pi\)
\(410\) −5.90633 21.2727i −0.291693 1.05058i
\(411\) 1.28010 + 7.80825i 0.0631425 + 0.385152i
\(412\) −22.1883 −1.09314
\(413\) −29.6367 22.1459i −1.45833 1.08973i
\(414\) 8.82267 0.433610
\(415\) 4.06033 + 24.7669i 0.199314 + 1.21576i
\(416\) −8.25433 29.7294i −0.404702 1.45760i
\(417\) 17.4397 5.87613i 0.854027 0.287755i
\(418\) −7.34519 + 10.8333i −0.359265 + 0.529876i
\(419\) 7.98849 3.69587i 0.390263 0.180555i −0.214938 0.976628i \(-0.568955\pi\)
0.605201 + 0.796073i \(0.293093\pi\)
\(420\) −18.0937 3.98274i −0.882885 0.194338i
\(421\) 11.3632 + 21.4332i 0.553807 + 1.04459i 0.989505 + 0.144498i \(0.0461568\pi\)
−0.435698 + 0.900093i \(0.643498\pi\)
\(422\) −21.7743 + 13.1011i −1.05995 + 0.637753i
\(423\) −5.72405 2.64823i −0.278313 0.128761i
\(424\) −3.97446 3.02130i −0.193017 0.146727i
\(425\) −1.30382 1.92299i −0.0632445 0.0932787i
\(426\) −23.4758 14.1249i −1.13741 0.684355i
\(427\) 1.66455 30.7009i 0.0805533 1.48572i
\(428\) 21.9808 + 7.40618i 1.06248 + 0.357991i
\(429\) −5.39693 + 4.10264i −0.260566 + 0.198077i
\(430\) 22.7744 5.01302i 1.09828 0.241749i
\(431\) 5.22170 + 6.14745i 0.251520 + 0.296112i 0.873403 0.486998i \(-0.161908\pi\)
−0.621883 + 0.783110i \(0.713632\pi\)
\(432\) 3.29894 + 0.358781i 0.158720 + 0.0172619i
\(433\) −7.04915 + 25.3887i −0.338761 + 1.22011i 0.576451 + 0.817132i \(0.304437\pi\)
−0.915212 + 0.402974i \(0.867977\pi\)
\(434\) 3.96338 + 73.1002i 0.190248 + 3.50892i
\(435\) −5.53508 + 10.4403i −0.265387 + 0.500572i
\(436\) 13.3018 15.6601i 0.637041 0.749983i
\(437\) 10.9510 10.3734i 0.523858 0.496225i
\(438\) 1.87864 + 4.71504i 0.0897651 + 0.225293i
\(439\) 8.72435 21.8965i 0.416390 1.04506i −0.559893 0.828565i \(-0.689158\pi\)
0.976283 0.216496i \(-0.0694628\pi\)
\(440\) −1.33260 1.26231i −0.0635293 0.0601782i
\(441\) −16.1047 + 1.75149i −0.766889 + 0.0834043i
\(442\) 1.35043 8.23724i 0.0642332 0.391805i
\(443\) −3.85790 + 23.5321i −0.183294 + 1.11805i 0.721569 + 0.692343i \(0.243421\pi\)
−0.904863 + 0.425703i \(0.860027\pi\)
\(444\) −9.40527 + 1.02288i −0.446354 + 0.0485440i
\(445\) −1.33632 1.26583i −0.0633479 0.0600063i
\(446\) 3.24525 8.14496i 0.153667 0.385675i
\(447\) −0.595849 1.49547i −0.0281827 0.0707332i
\(448\) 35.5693 33.6930i 1.68049 1.59185i
\(449\) −7.56583 + 8.90719i −0.357054 + 0.420356i −0.911136 0.412106i \(-0.864793\pi\)
0.554082 + 0.832462i \(0.313069\pi\)
\(450\) −2.13150 + 4.02044i −0.100480 + 0.189525i
\(451\) −0.613443 11.3143i −0.0288859 0.532769i
\(452\) −3.55936 + 12.8196i −0.167418 + 0.602985i
\(453\) 3.14255 + 0.341773i 0.147650 + 0.0160579i
\(454\) −32.0950 37.7851i −1.50629 1.77334i
\(455\) −29.9751 + 6.59803i −1.40526 + 0.309320i
\(456\) −1.73558 + 1.31935i −0.0812760 + 0.0617844i
\(457\) −10.8859 3.66790i −0.509223 0.171577i 0.0529497 0.998597i \(-0.483138\pi\)
−0.562172 + 0.827020i \(0.690034\pi\)
\(458\) 0.451092 8.31989i 0.0210781 0.388763i
\(459\) 0.906835 + 0.545624i 0.0423274 + 0.0254676i
\(460\) 9.18753 + 13.5506i 0.428371 + 0.631800i
\(461\) 9.10745 + 6.92330i 0.424176 + 0.322450i 0.795391 0.606097i \(-0.207266\pi\)
−0.371215 + 0.928547i \(0.621059\pi\)
\(462\) −16.1446 7.46929i −0.751115 0.347503i
\(463\) −12.8622 + 7.73892i −0.597756 + 0.359658i −0.782052 0.623213i \(-0.785827\pi\)
0.184296 + 0.982871i \(0.440999\pi\)
\(464\) −10.9675 20.6868i −0.509152 0.960363i
\(465\) −11.9926 2.63978i −0.556146 0.122417i
\(466\) 13.5107 6.25073i 0.625873 0.289559i
\(467\) −5.62746 + 8.29988i −0.260408 + 0.384072i −0.935307 0.353837i \(-0.884877\pi\)
0.674899 + 0.737910i \(0.264187\pi\)
\(468\) −8.28165 + 2.79041i −0.382819 + 0.128987i
\(469\) 13.9486 + 50.2384i 0.644088 + 2.31979i
\(470\) −3.54215 21.6061i −0.163387 0.996617i
\(471\) 14.7172 0.678133
\(472\) −0.294722 4.71594i −0.0135657 0.217069i
\(473\) 11.9684 0.550309
\(474\) −5.06915 30.9205i −0.232834 1.42022i
\(475\) 2.08138 + 7.49645i 0.0955002 + 0.343961i
\(476\) 11.0950 3.73834i 0.508538 0.171346i
\(477\) 4.55441 6.71726i 0.208532 0.307562i
\(478\) −14.7888 + 6.84201i −0.676422 + 0.312946i
\(479\) 24.0023 + 5.28330i 1.09669 + 0.241400i 0.726233 0.687449i \(-0.241269\pi\)
0.370459 + 0.928849i \(0.379200\pi\)
\(480\) 6.36109 + 11.9983i 0.290343 + 0.547644i
\(481\) −13.4297 + 8.08037i −0.612341 + 0.368433i
\(482\) 24.4453 + 11.3096i 1.11345 + 0.515138i
\(483\) 16.3205 + 12.4065i 0.742608 + 0.564516i
\(484\) 10.0865 + 14.8765i 0.458478 + 0.676204i
\(485\) 13.9348 + 8.38427i 0.632745 + 0.380710i
\(486\) 0.112223 2.06982i 0.00509052 0.0938892i
\(487\) 33.8079 + 11.3912i 1.53198 + 0.516185i 0.953985 0.299855i \(-0.0969383\pi\)
0.577996 + 0.816039i \(0.303835\pi\)
\(488\) 3.12608 2.37639i 0.141511 0.107574i
\(489\) 18.3001 4.02816i 0.827559 0.182160i
\(490\) −36.4070 42.8616i −1.64470 1.93629i
\(491\) 11.5560 + 1.25679i 0.521516 + 0.0567183i 0.365092 0.930972i \(-0.381038\pi\)
0.156425 + 0.987690i \(0.450003\pi\)
\(492\) 3.90768 14.0742i 0.176172 0.634514i
\(493\) −0.404281 7.45653i −0.0182079 0.335825i
\(494\) −13.0929 + 24.6959i −0.589080 + 1.11112i
\(495\) 1.93171 2.27418i 0.0868237 0.102217i
\(496\) 17.6647 16.7329i 0.793167 0.751328i
\(497\) −23.5638 59.1408i −1.05698 2.65283i
\(498\) −11.4980 + 28.8577i −0.515237 + 1.29315i
\(499\) −5.74880 5.44555i −0.257352 0.243776i 0.548136 0.836389i \(-0.315338\pi\)
−0.805487 + 0.592613i \(0.798096\pi\)
\(500\) −27.5142 + 2.99235i −1.23047 + 0.133822i
\(501\) 2.00747 12.2450i 0.0896871 0.547067i
\(502\) 4.58966 27.9957i 0.204846 1.24951i
\(503\) 32.6247 3.54815i 1.45466 0.158204i 0.653625 0.756818i \(-0.273247\pi\)
0.801037 + 0.598614i \(0.204282\pi\)
\(504\) −2.15112 2.03764i −0.0958183 0.0907639i
\(505\) −0.561628 + 1.40958i −0.0249921 + 0.0627255i
\(506\) 5.81831 + 14.6028i 0.258655 + 0.649176i
\(507\) −1.07281 + 1.01622i −0.0476454 + 0.0451321i
\(508\) −15.4842 + 18.2294i −0.687000 + 0.808799i
\(509\) −6.05357 + 11.4182i −0.268320 + 0.506104i −0.980657 0.195732i \(-0.937292\pi\)
0.712338 + 0.701837i \(0.247636\pi\)
\(510\) 0.198905 + 3.66858i 0.00880765 + 0.162448i
\(511\) −3.15515 + 11.3638i −0.139576 + 0.502706i
\(512\) −30.8095 3.35074i −1.36160 0.148083i
\(513\) −2.29433 2.70109i −0.101297 0.119256i
\(514\) 42.3458 9.32102i 1.86779 0.411132i
\(515\) 12.8800 9.79111i 0.567560 0.431448i
\(516\) 14.6208 + 4.92632i 0.643645 + 0.216869i
\(517\) 0.608363 11.2206i 0.0267558 0.493482i
\(518\) −35.2393 21.2028i −1.54833 0.931597i
\(519\) −2.75516 4.06356i −0.120938 0.178370i
\(520\) −3.12067 2.37227i −0.136850 0.104031i
\(521\) −25.5572 11.8240i −1.11968 0.518020i −0.229356 0.973343i \(-0.573662\pi\)
−0.890327 + 0.455322i \(0.849524\pi\)
\(522\) −12.5324 + 7.54048i −0.548527 + 0.330038i
\(523\) −4.38218 8.26567i −0.191619 0.361433i 0.769023 0.639221i \(-0.220743\pi\)
−0.960642 + 0.277789i \(0.910398\pi\)
\(524\) −32.6658 7.19028i −1.42701 0.314109i
\(525\) −9.59651 + 4.43982i −0.418826 + 0.193769i
\(526\) 11.4277 16.8545i 0.498270 0.734893i
\(527\) 7.35383 2.47779i 0.320338 0.107934i
\(528\) 1.58172 + 5.69685i 0.0688356 + 0.247923i
\(529\) 0.790173 + 4.81984i 0.0343553 + 0.209558i
\(530\) 28.1735 1.22378
\(531\) 7.62901 0.893434i 0.331071 0.0387717i
\(532\) −39.2057 −1.69978
\(533\) −3.91482 23.8794i −0.169570 1.03433i
\(534\) −0.609500 2.19522i −0.0263757 0.0949965i
\(535\) −16.0277 + 5.40035i −0.692936 + 0.233477i
\(536\) −3.73695 + 5.51160i −0.161412 + 0.238065i
\(537\) 19.8400 9.17897i 0.856160 0.396102i
\(538\) −2.43460 0.535896i −0.104963 0.0231041i
\(539\) −13.5196 25.5006i −0.582329 1.09839i
\(540\) 3.29587 1.98306i 0.141832 0.0853374i
\(541\) −23.2925 10.7763i −1.00142 0.463307i −0.150506 0.988609i \(-0.548090\pi\)
−0.850916 + 0.525302i \(0.823952\pi\)
\(542\) 11.0668 + 8.41278i 0.475361 + 0.361360i
\(543\) 3.85581 + 5.68689i 0.165469 + 0.244048i
\(544\) −7.35343 4.42441i −0.315276 0.189695i
\(545\) −0.811119 + 14.9602i −0.0347445 + 0.640825i
\(546\) −36.0007 12.1301i −1.54069 0.519118i
\(547\) −1.97237 + 1.49936i −0.0843326 + 0.0641080i −0.646491 0.762922i \(-0.723764\pi\)
0.562158 + 0.827030i \(0.309971\pi\)
\(548\) −17.7483 + 3.90669i −0.758168 + 0.166885i
\(549\) 4.13248 + 4.86513i 0.176370 + 0.207639i
\(550\) −8.06010 0.876588i −0.343684 0.0373779i
\(551\) −6.68984 + 24.0946i −0.284997 + 1.02647i
\(552\) 0.141751 + 2.61445i 0.00603334 + 0.111278i
\(553\) 34.1035 64.3261i 1.45023 2.73542i
\(554\) 25.8628 30.4480i 1.09880 1.29361i
\(555\) 5.00825 4.74407i 0.212588 0.201374i
\(556\) 15.6448 + 39.2656i 0.663489 + 1.66523i
\(557\) 11.2507 28.2370i 0.476706 1.19644i −0.472372 0.881399i \(-0.656602\pi\)
0.949078 0.315042i \(-0.102019\pi\)
\(558\) −11.0344 10.4523i −0.467124 0.442483i
\(559\) 25.4098 2.76348i 1.07472 0.116883i
\(560\) −4.33055 + 26.4152i −0.182999 + 1.11625i
\(561\) −0.305058 + 1.86077i −0.0128796 + 0.0785619i
\(562\) −58.8616 + 6.40159i −2.48293 + 0.270035i
\(563\) 23.2585 + 22.0316i 0.980227 + 0.928521i 0.997453 0.0713309i \(-0.0227246\pi\)
−0.0172252 + 0.999852i \(0.505483\pi\)
\(564\) 5.36169 13.4568i 0.225768 0.566635i
\(565\) −3.59082 9.01227i −0.151067 0.379149i
\(566\) −22.6761 + 21.4800i −0.953149 + 0.902871i
\(567\) 3.11820 3.67103i 0.130952 0.154169i
\(568\) 3.80851 7.18362i 0.159802 0.301418i
\(569\) −1.86090 34.3223i −0.0780130 1.43887i −0.731456 0.681889i \(-0.761159\pi\)
0.653443 0.756976i \(-0.273324\pi\)
\(570\) 3.29137 11.8545i 0.137861 0.496529i
\(571\) −18.2769 1.98774i −0.764866 0.0831842i −0.282634 0.959228i \(-0.591208\pi\)
−0.482232 + 0.876044i \(0.660174\pi\)
\(572\) −10.0801 11.8672i −0.421469 0.496192i
\(573\) −9.52021 + 2.09556i −0.397713 + 0.0875431i
\(574\) 50.5484 38.4259i 2.10985 1.60387i
\(575\) 8.85458 + 2.98346i 0.369262 + 0.124419i
\(576\) −0.550694 + 10.1570i −0.0229456 + 0.423206i
\(577\) −20.7789 12.5023i −0.865039 0.520477i 0.0125331 0.999921i \(-0.496010\pi\)
−0.877572 + 0.479445i \(0.840838\pi\)
\(578\) 18.4726 + 27.2450i 0.768358 + 1.13324i
\(579\) −13.8736 10.5464i −0.576567 0.438295i
\(580\) −24.6320 11.3960i −1.02279 0.473191i
\(581\) −61.8494 + 37.2136i −2.56595 + 1.54388i
\(582\) 9.42849 + 17.7840i 0.390823 + 0.737171i
\(583\) 14.1216 + 3.10840i 0.584856 + 0.128737i
\(584\) −1.36704 + 0.632461i −0.0565686 + 0.0261714i
\(585\) 3.57604 5.27427i 0.147851 0.218064i
\(586\) 7.63311 2.57189i 0.315321 0.106244i
\(587\) 7.57298 + 27.2754i 0.312570 + 1.12578i 0.938324 + 0.345756i \(0.112378\pi\)
−0.625754 + 0.780020i \(0.715209\pi\)
\(588\) −6.01940 36.7167i −0.248236 1.51417i
\(589\) −25.9858 −1.07073
\(590\) 17.4296 + 20.1800i 0.717565 + 0.830797i
\(591\) −4.05781 −0.166916
\(592\) 2.21139 + 13.4889i 0.0908875 + 0.554389i
\(593\) 6.54368 + 23.5682i 0.268717 + 0.967830i 0.967578 + 0.252573i \(0.0812766\pi\)
−0.698861 + 0.715257i \(0.746310\pi\)
\(594\) 3.49988 1.17925i 0.143602 0.0483851i
\(595\) −4.79085 + 7.06598i −0.196406 + 0.289677i
\(596\) 3.35561 1.55247i 0.137451 0.0635917i
\(597\) −6.45458 1.42076i −0.264168 0.0581478i
\(598\) 15.7244 + 29.6594i 0.643019 + 1.21286i
\(599\) 16.3236 9.82161i 0.666966 0.401300i −0.141423 0.989949i \(-0.545168\pi\)
0.808388 + 0.588649i \(0.200340\pi\)
\(600\) −1.22564 0.567040i −0.0500364 0.0231493i
\(601\) −13.8994 10.5660i −0.566968 0.430998i 0.282021 0.959408i \(-0.408995\pi\)
−0.848989 + 0.528410i \(0.822788\pi\)
\(602\) 37.6378 + 55.5116i 1.53400 + 2.26248i
\(603\) −9.27533 5.58078i −0.377721 0.227267i
\(604\) −0.393063 + 7.24962i −0.0159935 + 0.294983i
\(605\) −12.4197 4.18468i −0.504932 0.170131i
\(606\) −1.49512 + 1.13656i −0.0607349 + 0.0461695i
\(607\) 16.9119 3.72260i 0.686434 0.151096i 0.141959 0.989873i \(-0.454660\pi\)
0.544475 + 0.838777i \(0.316729\pi\)
\(608\) 18.6045 + 21.9029i 0.754510 + 0.888278i
\(609\) −33.7864 3.67449i −1.36909 0.148898i
\(610\) −5.92834 + 21.3519i −0.240031 + 0.864515i
\(611\) −1.29921 23.9626i −0.0525605 0.969422i
\(612\) −1.13858 + 2.14758i −0.0460242 + 0.0868108i
\(613\) −3.39769 + 4.00007i −0.137232 + 0.161561i −0.826485 0.562959i \(-0.809663\pi\)
0.689253 + 0.724520i \(0.257939\pi\)
\(614\) −50.2718 + 47.6199i −2.02880 + 1.92178i
\(615\) 3.94222 + 9.89422i 0.158966 + 0.398974i
\(616\) 1.95401 4.90419i 0.0787292 0.197596i
\(617\) 7.42544 + 7.03375i 0.298937 + 0.283168i 0.822435 0.568858i \(-0.192615\pi\)
−0.523498 + 0.852027i \(0.675373\pi\)
\(618\) 19.9078 2.16511i 0.800811 0.0870934i
\(619\) −3.90897 + 23.8436i −0.157115 + 0.958356i 0.784122 + 0.620607i \(0.213114\pi\)
−0.941236 + 0.337749i \(0.890334\pi\)
\(620\) 4.56285 27.8322i 0.183249 1.11777i
\(621\) −4.23132 + 0.460184i −0.169797 + 0.0184665i
\(622\) −0.795408 0.753451i −0.0318930 0.0302106i
\(623\) 1.95947 4.91789i 0.0785043 0.197031i
\(624\) 4.67349 + 11.7296i 0.187089 + 0.469559i
\(625\) 6.68232 6.32983i 0.267293 0.253193i
\(626\) 35.4897 41.7817i 1.41845 1.66993i
\(627\) 2.95767 5.57875i 0.118118 0.222794i
\(628\) 1.83000 + 33.7525i 0.0730251 + 1.34687i
\(629\) −1.16626 + 4.20050i −0.0465020 + 0.167485i
\(630\) 16.6228 + 1.80783i 0.662267 + 0.0720258i
\(631\) −4.24171 4.99372i −0.168860 0.198797i 0.671223 0.741256i \(-0.265769\pi\)
−0.840083 + 0.542459i \(0.817494\pi\)
\(632\) 9.08132 1.99895i 0.361236 0.0795140i
\(633\) 9.75950 7.41898i 0.387905 0.294878i
\(634\) 51.0085 + 17.1868i 2.02581 + 0.682574i
\(635\) 0.944196 17.4147i 0.0374693 0.691080i
\(636\) 15.9717 + 9.60984i 0.633318 + 0.381055i
\(637\) −34.5910 51.0179i −1.37055 2.02140i
\(638\) −20.7454 15.7702i −0.821318 0.624350i
\(639\) 11.9957 + 5.54978i 0.474541 + 0.219546i
\(640\) −6.98433 + 4.20233i −0.276080 + 0.166112i
\(641\) −4.35627 8.21680i −0.172062 0.324544i 0.782451 0.622712i \(-0.213969\pi\)
−0.954513 + 0.298168i \(0.903624\pi\)
\(642\) −20.4443 4.50014i −0.806873 0.177606i
\(643\) 14.0246 6.48846i 0.553075 0.255880i −0.123385 0.992359i \(-0.539375\pi\)
0.676460 + 0.736479i \(0.263513\pi\)
\(644\) −26.4238 + 38.9721i −1.04124 + 1.53572i
\(645\) −10.6610 + 3.59212i −0.419777 + 0.141439i
\(646\) 2.07995 + 7.49129i 0.0818344 + 0.294741i
\(647\) 6.93502 + 42.3018i 0.272644 + 1.66305i 0.667725 + 0.744408i \(0.267268\pi\)
−0.395081 + 0.918646i \(0.629284\pi\)
\(648\) 0.615162 0.0241658
\(649\) 6.50989 + 12.0380i 0.255535 + 0.472532i
\(650\) −17.3145 −0.679132
\(651\) −5.71367 34.8518i −0.223936 1.36595i
\(652\) 11.5137 + 41.4686i 0.450911 + 1.62403i
\(653\) 36.1613 12.1842i 1.41510 0.476803i 0.495141 0.868813i \(-0.335116\pi\)
0.919961 + 0.392009i \(0.128220\pi\)
\(654\) −10.4066 + 15.3486i −0.406930 + 0.600177i
\(655\) 22.1349 10.2407i 0.864882 0.400137i
\(656\) −20.6104 4.53668i −0.804699 0.177128i
\(657\) −1.14692 2.16333i −0.0447457 0.0843994i
\(658\) 53.9561 32.4643i 2.10343 1.26559i
\(659\) 35.1640 + 16.2686i 1.36980 + 0.633735i 0.960401 0.278622i \(-0.0898776\pi\)
0.409395 + 0.912357i \(0.365740\pi\)
\(660\) 5.45580 + 4.14739i 0.212367 + 0.161437i
\(661\) 11.5177 + 16.9874i 0.447988 + 0.660732i 0.982893 0.184180i \(-0.0589629\pi\)
−0.534905 + 0.844912i \(0.679653\pi\)
\(662\) 3.66572 + 2.20559i 0.142472 + 0.0857227i
\(663\) −0.218011 + 4.02098i −0.00846686 + 0.156162i
\(664\) −8.73625 2.94359i −0.339032 0.114233i
\(665\) 22.7584 17.3005i 0.882531 0.670883i
\(666\) 8.33881 1.83551i 0.323122 0.0711246i
\(667\) 19.4423 + 22.8892i 0.752807 + 0.886273i
\(668\) 28.3323 + 3.08133i 1.09621 + 0.119220i
\(669\) −1.13157 + 4.07556i −0.0437492 + 0.157570i
\(670\) −2.03445 37.5232i −0.0785975 1.44965i
\(671\) −5.32727 + 10.0483i −0.205657 + 0.387910i
\(672\) −25.2852 + 29.7680i −0.975397 + 1.14833i
\(673\) −4.85466 + 4.59858i −0.187133 + 0.177262i −0.775531 0.631310i \(-0.782518\pi\)
0.588397 + 0.808572i \(0.299759\pi\)
\(674\) 10.0479 + 25.2185i 0.387033 + 0.971378i
\(675\) 0.812557 2.03936i 0.0312753 0.0784951i
\(676\) −2.46401 2.33403i −0.0947695 0.0897705i
\(677\) −12.0757 + 1.31331i −0.464106 + 0.0504745i −0.337185 0.941438i \(-0.609475\pi\)
−0.126920 + 0.991913i \(0.540509\pi\)
\(678\) 1.94261 11.8494i 0.0746055 0.455073i
\(679\) −7.56689 + 46.1560i −0.290390 + 1.77130i
\(680\) −1.08393 + 0.117884i −0.0415667 + 0.00452066i
\(681\) 17.3635 + 16.4475i 0.665369 + 0.630271i
\(682\) 10.0233 25.1567i 0.383813 0.963298i
\(683\) −17.7954 44.6631i −0.680922 1.70899i −0.704933 0.709274i \(-0.749023\pi\)
0.0240109 0.999712i \(-0.492356\pi\)
\(684\) 5.90939 5.59767i 0.225951 0.214032i
\(685\) 8.57869 10.0996i 0.327775 0.385886i
\(686\) 43.0236 81.1512i 1.64265 3.09837i
\(687\) 0.217617 + 4.01372i 0.00830262 + 0.153133i
\(688\) 5.96351 21.4786i 0.227357 0.818865i
\(689\) 30.6988 + 3.33870i 1.16953 + 0.127194i
\(690\) −9.56551 11.2614i −0.364153 0.428714i
\(691\) −33.7712 + 7.43361i −1.28472 + 0.282788i −0.804285 0.594244i \(-0.797452\pi\)
−0.480433 + 0.877031i \(0.659520\pi\)
\(692\) 8.97678 6.82397i 0.341246 0.259408i
\(693\) 8.13248 + 2.74015i 0.308927 + 0.104090i
\(694\) −3.81372 + 70.3400i −0.144767 + 2.67007i
\(695\) −26.4085 15.8895i −1.00173 0.602721i
\(696\) −2.43585 3.59261i −0.0923308 0.136178i
\(697\) −5.35816 4.07317i −0.202955 0.154282i
\(698\) −15.4203 7.13417i −0.583665 0.270032i
\(699\) −6.15366 + 3.70254i −0.232753 + 0.140043i
\(700\) −11.3756 21.4566i −0.429955 0.810982i
\(701\) −29.4568 6.48393i −1.11257 0.244895i −0.379595 0.925153i \(-0.623937\pi\)
−0.732973 + 0.680258i \(0.761868\pi\)
\(702\) 7.15820 3.31174i 0.270169 0.124993i
\(703\) 8.19231 12.0828i 0.308979 0.455710i
\(704\) −17.1745 + 5.78675i −0.647287 + 0.218096i
\(705\) 2.82576 + 10.1775i 0.106424 + 0.383306i
\(706\) −1.99396 12.1626i −0.0750437 0.457746i
\(707\) −4.36396 −0.164124
\(708\) 2.99763 + 17.3853i 0.112658 + 0.653379i
\(709\) −28.3095 −1.06318 −0.531592 0.847000i \(-0.678406\pi\)
−0.531592 + 0.847000i \(0.678406\pi\)
\(710\) 7.42314 + 45.2791i 0.278585 + 1.69930i
\(711\) 4.04393 + 14.5649i 0.151659 + 0.546228i
\(712\) 0.640725 0.215885i 0.0240122 0.00809065i
\(713\) −17.5138 + 25.8310i −0.655898 + 0.967377i
\(714\) −9.58990 + 4.43676i −0.358893 + 0.166042i
\(715\) 11.0880 + 2.44065i 0.414668 + 0.0912753i
\(716\) 23.5180 + 44.3597i 0.878911 + 1.65780i
\(717\) 6.73576 4.05277i 0.251551 0.151354i
\(718\) −28.6483 13.2541i −1.06914 0.494639i
\(719\) −14.7840 11.2385i −0.551352 0.419127i 0.292056 0.956401i \(-0.405661\pi\)
−0.843407 + 0.537275i \(0.819454\pi\)
\(720\) −3.11875 4.59981i −0.116229 0.171425i
\(721\) 39.8709 + 23.9895i 1.48487 + 0.893416i
\(722\) −0.722734 + 13.3300i −0.0268974 + 0.496093i
\(723\) −12.3138 4.14899i −0.457954 0.154303i
\(724\) −12.5629 + 9.55005i −0.466896 + 0.354925i
\(725\) −15.1276 + 3.32984i −0.561825 + 0.123667i
\(726\) −10.5015 12.3633i −0.389746 0.458845i
\(727\) −6.13645 0.667380i −0.227588 0.0247517i −0.00638587 0.999980i \(-0.502033\pi\)
−0.221203 + 0.975228i \(0.570998\pi\)
\(728\) 3.01613 10.8631i 0.111785 0.402614i
\(729\) 0.0541389 + 0.998533i 0.00200514 + 0.0369827i
\(730\) 3.98153 7.50997i 0.147363 0.277956i
\(731\) 4.60244 5.41841i 0.170227 0.200407i
\(732\) −10.6438 + 10.0824i −0.393408 + 0.372656i
\(733\) −4.92445 12.3594i −0.181889 0.456506i 0.809555 0.587045i \(-0.199709\pi\)
−0.991443 + 0.130539i \(0.958329\pi\)
\(734\) 9.63655 24.1859i 0.355692 0.892719i
\(735\) 19.6963 + 18.6573i 0.726508 + 0.688185i
\(736\) 34.3113 3.73158i 1.26473 0.137548i
\(737\) 3.12021 19.0324i 0.114934 0.701069i
\(738\) −2.13272 + 13.0090i −0.0785064 + 0.478868i
\(739\) 4.04797 0.440243i 0.148907 0.0161946i −0.0333619 0.999443i \(-0.510621\pi\)
0.182269 + 0.983249i \(0.441656\pi\)
\(740\) 11.5028 + 10.8960i 0.422851 + 0.400546i
\(741\) 4.99121 12.5270i 0.183357 0.460190i
\(742\) 29.9916 + 75.2733i 1.10103 + 2.76337i
\(743\) −4.27981 + 4.05405i −0.157011 + 0.148729i −0.762172 0.647374i \(-0.775867\pi\)
0.605161 + 0.796103i \(0.293109\pi\)
\(744\) 2.92009 3.43780i 0.107056 0.126036i
\(745\) −1.26282 + 2.38193i −0.0462662 + 0.0872672i
\(746\) 2.60522 + 48.0504i 0.0953839 + 1.75925i
\(747\) 4.00919 14.4398i 0.146688 0.528324i
\(748\) −4.30543 0.468244i −0.157422 0.0171207i
\(749\) −31.4905 37.0735i −1.15064 1.35464i
\(750\) 24.3944 5.36960i 0.890756 0.196070i
\(751\) −18.7648 + 14.2646i −0.684736 + 0.520523i −0.888720 0.458451i \(-0.848404\pi\)
0.203983 + 0.978974i \(0.434611\pi\)
\(752\) −19.8334 6.68266i −0.723251 0.243691i
\(753\) −0.740949 + 13.6660i −0.0270017 + 0.498017i
\(754\) −47.6852 28.6912i −1.73659 1.04487i
\(755\) −2.97090 4.38175i −0.108122 0.159468i
\(756\) 8.80687 + 6.69481i 0.320303 + 0.243488i
\(757\) 18.1753 + 8.40880i 0.660594 + 0.305623i 0.721392 0.692527i \(-0.243503\pi\)
−0.0607984 + 0.998150i \(0.519365\pi\)
\(758\) 40.6908 24.4829i 1.47796 0.889258i
\(759\) −3.55211 6.69999i −0.128933 0.243194i
\(760\) 3.56576 + 0.784882i 0.129344 + 0.0284707i
\(761\) −20.2107 + 9.35046i −0.732637 + 0.338954i −0.750486 0.660887i \(-0.770180\pi\)
0.0178487 + 0.999841i \(0.494318\pi\)
\(762\) 12.1140 17.8668i 0.438843 0.647244i
\(763\) −40.8338 + 13.7585i −1.47828 + 0.498092i
\(764\) −5.98974 21.5731i −0.216701 0.780487i
\(765\) −0.286744 1.74906i −0.0103673 0.0632375i
\(766\) −67.4483 −2.43701
\(767\) 16.6005 + 24.0543i 0.599408 + 0.868551i
\(768\) 10.2549 0.370041
\(769\) 5.66051 + 34.5276i 0.204123 + 1.24510i 0.867738 + 0.497022i \(0.165573\pi\)
−0.663615 + 0.748074i \(0.730979\pi\)
\(770\) 7.97001 + 28.7054i 0.287219 + 1.03447i
\(771\) −19.8227 + 6.67905i −0.713897 + 0.240540i
\(772\) 22.4621 33.1291i 0.808429 1.19234i
\(773\) 0.676501