Properties

Label 150.2.h.b.139.1
Level 150
Weight 2
Character 150.139
Analytic conductor 1.198
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.h (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 139.1
Root \(2.17199 + 0.809017i\)
Character \(\chi\) = 150.139
Dual form 150.2.h.b.109.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.587785 - 0.809017i) q^{2} +(-0.951057 - 0.309017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.53938 + 1.62182i) q^{5} +(0.309017 + 0.951057i) q^{6} +4.63137i q^{7} +(0.951057 - 0.309017i) q^{8} +(0.809017 + 0.587785i) q^{9} +O(q^{10})\) \(q+(-0.587785 - 0.809017i) q^{2} +(-0.951057 - 0.309017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.53938 + 1.62182i) q^{5} +(0.309017 + 0.951057i) q^{6} +4.63137i q^{7} +(0.951057 - 0.309017i) q^{8} +(0.809017 + 0.587785i) q^{9} +(2.21691 + 0.292102i) q^{10} +(2.05464 - 1.49278i) q^{11} +(0.587785 - 0.809017i) q^{12} +(0.0846260 - 0.116478i) q^{13} +(3.74686 - 2.72225i) q^{14} +(1.96521 - 1.06675i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-7.12436 + 2.31485i) q^{17} -1.00000i q^{18} +(2.08298 + 6.41074i) q^{19} +(-1.06675 - 1.96521i) q^{20} +(1.43117 - 4.40469i) q^{21} +(-2.41537 - 0.784803i) q^{22} +(0.985910 + 1.35699i) q^{23} -1.00000 q^{24} +(-0.260613 - 4.99320i) q^{25} -0.143974 q^{26} +(-0.587785 - 0.809017i) q^{27} +(-4.40469 - 1.43117i) q^{28} +(0.696812 - 2.14457i) q^{29} +(-2.01814 - 0.962868i) q^{30} +(0.310207 + 0.954718i) q^{31} +1.00000i q^{32} +(-2.41537 + 0.784803i) q^{33} +(6.06035 + 4.40310i) q^{34} +(-7.51126 - 7.12944i) q^{35} +(-0.809017 + 0.587785i) q^{36} +(-0.0523017 + 0.0719871i) q^{37} +(3.96205 - 5.45330i) q^{38} +(-0.116478 + 0.0846260i) q^{39} +(-0.962868 + 2.01814i) q^{40} +(-2.48680 - 1.80677i) q^{41} +(-4.40469 + 1.43117i) q^{42} -9.02860i q^{43} +(0.784803 + 2.41537i) q^{44} +(-2.19867 + 0.407256i) q^{45} +(0.518324 - 1.59524i) q^{46} +(10.3526 + 3.36376i) q^{47} +(0.587785 + 0.809017i) q^{48} -14.4496 q^{49} +(-3.88640 + 3.14577i) q^{50} +7.49100 q^{51} +(0.0846260 + 0.116478i) q^{52} +(4.72205 + 1.53429i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-0.741845 + 5.63022i) q^{55} +(1.43117 + 4.40469i) q^{56} -6.74065i q^{57} +(-2.14457 + 0.696812i) q^{58} +(4.25029 + 3.08802i) q^{59} +(0.407256 + 2.19867i) q^{60} +(11.0841 - 8.05305i) q^{61} +(0.590048 - 0.812131i) q^{62} +(-2.72225 + 3.74686i) q^{63} +(0.809017 - 0.587785i) q^{64} +(0.0586344 + 0.316552i) q^{65} +(2.05464 + 1.49278i) q^{66} +(7.27491 - 2.36376i) q^{67} -7.49100i q^{68} +(-0.518324 - 1.59524i) q^{69} +(-1.35283 + 10.2673i) q^{70} +(-3.17196 + 9.76228i) q^{71} +(0.951057 + 0.309017i) q^{72} +(1.15547 + 1.59036i) q^{73} +0.0889810 q^{74} +(-1.29513 + 4.82935i) q^{75} -6.74065 q^{76} +(6.91363 + 9.51580i) q^{77} +(0.136928 + 0.0444905i) q^{78} +(-0.230908 + 0.710661i) q^{79} +(2.19867 - 0.407256i) q^{80} +(0.309017 + 0.951057i) q^{81} +3.07386i q^{82} +(-2.95072 + 0.958745i) q^{83} +(3.74686 + 2.72225i) q^{84} +(7.21284 - 15.1179i) q^{85} +(-7.30429 + 5.30688i) q^{86} +(-1.32542 + 1.82428i) q^{87} +(1.49278 - 2.05464i) q^{88} +(0.593709 - 0.431355i) q^{89} +(1.62182 + 1.53938i) q^{90} +(0.539451 + 0.391934i) q^{91} +(-1.59524 + 0.518324i) q^{92} -1.00385i q^{93} +(-3.36376 - 10.3526i) q^{94} +(-13.6036 - 6.49035i) q^{95} +(0.309017 - 0.951057i) q^{96} +(-8.67406 - 2.81837i) q^{97} +(8.49326 + 11.6900i) q^{98} +2.53967 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + O(q^{10}) \) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + 2q^{10} + 2q^{11} + 20q^{13} + 2q^{14} - 2q^{15} - 4q^{16} - 30q^{17} - 4q^{20} - 2q^{21} - 20q^{22} - 10q^{23} - 16q^{24} + 24q^{25} + 4q^{26} - 10q^{29} - 6q^{30} - 18q^{31} - 20q^{33} + 12q^{34} - 34q^{35} - 4q^{36} + 20q^{37} + 10q^{38} - 4q^{39} - 2q^{40} + 22q^{41} + 8q^{44} - 4q^{45} - 6q^{46} - 50q^{47} - 52q^{49} + 12q^{50} + 28q^{51} + 20q^{52} + 30q^{53} + 4q^{54} + 18q^{55} - 2q^{56} - 30q^{58} + 20q^{59} + 2q^{60} + 12q^{61} + 50q^{62} + 10q^{63} + 4q^{64} - 8q^{65} + 2q^{66} - 50q^{67} + 6q^{69} - 12q^{70} - 28q^{71} + 20q^{73} + 12q^{74} + 28q^{75} + 20q^{76} + 100q^{77} - 20q^{79} + 4q^{80} - 4q^{81} - 30q^{83} + 2q^{84} - 4q^{85} - 6q^{86} + 10q^{87} + 70q^{89} + 8q^{90} + 12q^{91} - 30q^{92} + 2q^{94} - 30q^{95} - 4q^{96} - 10q^{97} + 60q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.587785 0.809017i −0.415627 0.572061i
\(3\) −0.951057 0.309017i −0.549093 0.178411i
\(4\) −0.309017 + 0.951057i −0.154508 + 0.475528i
\(5\) −1.53938 + 1.62182i −0.688432 + 0.725301i
\(6\) 0.309017 + 0.951057i 0.126156 + 0.388267i
\(7\) 4.63137i 1.75049i 0.483677 + 0.875247i \(0.339301\pi\)
−0.483677 + 0.875247i \(0.660699\pi\)
\(8\) 0.951057 0.309017i 0.336249 0.109254i
\(9\) 0.809017 + 0.587785i 0.269672 + 0.195928i
\(10\) 2.21691 + 0.292102i 0.701048 + 0.0923709i
\(11\) 2.05464 1.49278i 0.619497 0.450091i −0.233249 0.972417i \(-0.574936\pi\)
0.852746 + 0.522326i \(0.174936\pi\)
\(12\) 0.587785 0.809017i 0.169679 0.233543i
\(13\) 0.0846260 0.116478i 0.0234710 0.0323051i −0.797120 0.603821i \(-0.793644\pi\)
0.820591 + 0.571516i \(0.193644\pi\)
\(14\) 3.74686 2.72225i 1.00139 0.727552i
\(15\) 1.96521 1.06675i 0.507415 0.275434i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) −7.12436 + 2.31485i −1.72791 + 0.561433i −0.993145 0.116887i \(-0.962708\pi\)
−0.734767 + 0.678320i \(0.762708\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 2.08298 + 6.41074i 0.477867 + 1.47072i 0.842051 + 0.539397i \(0.181348\pi\)
−0.364184 + 0.931327i \(0.618652\pi\)
\(20\) −1.06675 1.96521i −0.238532 0.439434i
\(21\) 1.43117 4.40469i 0.312307 0.961183i
\(22\) −2.41537 0.784803i −0.514959 0.167320i
\(23\) 0.985910 + 1.35699i 0.205576 + 0.282952i 0.899339 0.437252i \(-0.144048\pi\)
−0.693763 + 0.720204i \(0.744048\pi\)
\(24\) −1.00000 −0.204124
\(25\) −0.260613 4.99320i −0.0521225 0.998641i
\(26\) −0.143974 −0.0282357
\(27\) −0.587785 0.809017i −0.113119 0.155695i
\(28\) −4.40469 1.43117i −0.832409 0.270466i
\(29\) 0.696812 2.14457i 0.129395 0.398236i −0.865281 0.501287i \(-0.832860\pi\)
0.994676 + 0.103050i \(0.0328603\pi\)
\(30\) −2.01814 0.962868i −0.368460 0.175795i
\(31\) 0.310207 + 0.954718i 0.0557148 + 0.171472i 0.975042 0.222023i \(-0.0712659\pi\)
−0.919327 + 0.393495i \(0.871266\pi\)
\(32\) 1.00000i 0.176777i
\(33\) −2.41537 + 0.784803i −0.420463 + 0.136617i
\(34\) 6.06035 + 4.40310i 1.03934 + 0.755125i
\(35\) −7.51126 7.12944i −1.26963 1.20510i
\(36\) −0.809017 + 0.587785i −0.134836 + 0.0979642i
\(37\) −0.0523017 + 0.0719871i −0.00859835 + 0.0118346i −0.813295 0.581852i \(-0.802328\pi\)
0.804696 + 0.593687i \(0.202328\pi\)
\(38\) 3.96205 5.45330i 0.642730 0.884642i
\(39\) −0.116478 + 0.0846260i −0.0186514 + 0.0135510i
\(40\) −0.962868 + 2.01814i −0.152243 + 0.319096i
\(41\) −2.48680 1.80677i −0.388373 0.282170i 0.376415 0.926451i \(-0.377157\pi\)
−0.764789 + 0.644281i \(0.777157\pi\)
\(42\) −4.40469 + 1.43117i −0.679659 + 0.220835i
\(43\) 9.02860i 1.37685i −0.725308 0.688424i \(-0.758303\pi\)
0.725308 0.688424i \(-0.241697\pi\)
\(44\) 0.784803 + 2.41537i 0.118313 + 0.364131i
\(45\) −2.19867 + 0.407256i −0.327758 + 0.0607102i
\(46\) 0.518324 1.59524i 0.0764226 0.235205i
\(47\) 10.3526 + 3.36376i 1.51008 + 0.490655i 0.942939 0.332965i \(-0.108049\pi\)
0.567141 + 0.823620i \(0.308049\pi\)
\(48\) 0.587785 + 0.809017i 0.0848395 + 0.116772i
\(49\) −14.4496 −2.06423
\(50\) −3.88640 + 3.14577i −0.549620 + 0.444879i
\(51\) 7.49100 1.04895
\(52\) 0.0846260 + 0.116478i 0.0117355 + 0.0161525i
\(53\) 4.72205 + 1.53429i 0.648624 + 0.210751i 0.614807 0.788677i \(-0.289234\pi\)
0.0338165 + 0.999428i \(0.489234\pi\)
\(54\) −0.309017 + 0.951057i −0.0420519 + 0.129422i
\(55\) −0.741845 + 5.63022i −0.100030 + 0.759179i
\(56\) 1.43117 + 4.40469i 0.191248 + 0.588602i
\(57\) 6.74065i 0.892821i
\(58\) −2.14457 + 0.696812i −0.281596 + 0.0914959i
\(59\) 4.25029 + 3.08802i 0.553341 + 0.402026i 0.829016 0.559225i \(-0.188901\pi\)
−0.275675 + 0.961251i \(0.588901\pi\)
\(60\) 0.407256 + 2.19867i 0.0525765 + 0.283847i
\(61\) 11.0841 8.05305i 1.41917 1.03109i 0.427263 0.904127i \(-0.359478\pi\)
0.991908 0.126960i \(-0.0405221\pi\)
\(62\) 0.590048 0.812131i 0.0749362 0.103141i
\(63\) −2.72225 + 3.74686i −0.342971 + 0.472060i
\(64\) 0.809017 0.587785i 0.101127 0.0734732i
\(65\) 0.0586344 + 0.316552i 0.00727270 + 0.0392634i
\(66\) 2.05464 + 1.49278i 0.252909 + 0.183749i
\(67\) 7.27491 2.36376i 0.888771 0.288779i 0.171177 0.985240i \(-0.445243\pi\)
0.717595 + 0.696461i \(0.245243\pi\)
\(68\) 7.49100i 0.908417i
\(69\) −0.518324 1.59524i −0.0623988 0.192044i
\(70\) −1.35283 + 10.2673i −0.161695 + 1.22718i
\(71\) −3.17196 + 9.76228i −0.376442 + 1.15857i 0.566059 + 0.824365i \(0.308468\pi\)
−0.942501 + 0.334204i \(0.891532\pi\)
\(72\) 0.951057 + 0.309017i 0.112083 + 0.0364180i
\(73\) 1.15547 + 1.59036i 0.135237 + 0.186138i 0.871264 0.490814i \(-0.163301\pi\)
−0.736027 + 0.676952i \(0.763301\pi\)
\(74\) 0.0889810 0.0103438
\(75\) −1.29513 + 4.82935i −0.149548 + 0.557646i
\(76\) −6.74065 −0.773206
\(77\) 6.91363 + 9.51580i 0.787881 + 1.08443i
\(78\) 0.136928 + 0.0444905i 0.0155040 + 0.00503756i
\(79\) −0.230908 + 0.710661i −0.0259792 + 0.0799556i −0.963205 0.268766i \(-0.913384\pi\)
0.937226 + 0.348722i \(0.113384\pi\)
\(80\) 2.19867 0.407256i 0.245819 0.0455326i
\(81\) 0.309017 + 0.951057i 0.0343352 + 0.105673i
\(82\) 3.07386i 0.339451i
\(83\) −2.95072 + 0.958745i −0.323883 + 0.105236i −0.466446 0.884550i \(-0.654466\pi\)
0.142563 + 0.989786i \(0.454466\pi\)
\(84\) 3.74686 + 2.72225i 0.408816 + 0.297022i
\(85\) 7.21284 15.1179i 0.782343 1.63976i
\(86\) −7.30429 + 5.30688i −0.787642 + 0.572255i
\(87\) −1.32542 + 1.82428i −0.142099 + 0.195583i
\(88\) 1.49278 2.05464i 0.159131 0.219025i
\(89\) 0.593709 0.431355i 0.0629331 0.0457236i −0.555874 0.831267i \(-0.687616\pi\)
0.618807 + 0.785543i \(0.287616\pi\)
\(90\) 1.62182 + 1.53938i 0.170955 + 0.162265i
\(91\) 0.539451 + 0.391934i 0.0565498 + 0.0410859i
\(92\) −1.59524 + 0.518324i −0.166315 + 0.0540390i
\(93\) 1.00385i 0.104094i
\(94\) −3.36376 10.3526i −0.346945 1.06779i
\(95\) −13.6036 6.49035i −1.39570 0.665896i
\(96\) 0.309017 0.951057i 0.0315389 0.0970668i
\(97\) −8.67406 2.81837i −0.880717 0.286162i −0.166462 0.986048i \(-0.553234\pi\)
−0.714255 + 0.699886i \(0.753234\pi\)
\(98\) 8.49326 + 11.6900i 0.857948 + 1.18086i
\(99\) 2.53967 0.255247
\(100\) 4.82935 + 1.29513i 0.482935 + 0.129513i
\(101\) −2.88013 −0.286583 −0.143292 0.989680i \(-0.545769\pi\)
−0.143292 + 0.989680i \(0.545769\pi\)
\(102\) −4.40310 6.06035i −0.435972 0.600064i
\(103\) 10.6246 + 3.45214i 1.04687 + 0.340149i 0.781440 0.623981i \(-0.214486\pi\)
0.265432 + 0.964130i \(0.414486\pi\)
\(104\) 0.0444905 0.136928i 0.00436265 0.0134269i
\(105\) 4.94051 + 9.10161i 0.482145 + 0.888226i
\(106\) −1.53429 4.72205i −0.149023 0.458646i
\(107\) 14.0538i 1.35863i 0.733846 + 0.679316i \(0.237723\pi\)
−0.733846 + 0.679316i \(0.762277\pi\)
\(108\) 0.951057 0.309017i 0.0915155 0.0297352i
\(109\) 5.43552 + 3.94914i 0.520628 + 0.378259i 0.816841 0.576863i \(-0.195724\pi\)
−0.296212 + 0.955122i \(0.595724\pi\)
\(110\) 4.99099 2.70920i 0.475872 0.258312i
\(111\) 0.0719871 0.0523017i 0.00683272 0.00496426i
\(112\) 2.72225 3.74686i 0.257229 0.354045i
\(113\) −0.586387 + 0.807092i −0.0551626 + 0.0759248i −0.835707 0.549175i \(-0.814942\pi\)
0.780545 + 0.625100i \(0.214942\pi\)
\(114\) −5.45330 + 3.96205i −0.510748 + 0.371080i
\(115\) −3.71849 0.489952i −0.346751 0.0456883i
\(116\) 1.82428 + 1.32542i 0.169380 + 0.123062i
\(117\) 0.136928 0.0444905i 0.0126590 0.00411315i
\(118\) 5.25365i 0.483638i
\(119\) −10.7209 32.9956i −0.982784 3.02470i
\(120\) 1.53938 1.62182i 0.140526 0.148051i
\(121\) −1.40604 + 4.32736i −0.127822 + 0.393396i
\(122\) −13.0301 4.23374i −1.17969 0.383305i
\(123\) 1.80677 + 2.48680i 0.162911 + 0.224227i
\(124\) −1.00385 −0.0901484
\(125\) 8.49927 + 7.26377i 0.760198 + 0.649692i
\(126\) 4.63137 0.412595
\(127\) −6.77227 9.32123i −0.600942 0.827125i 0.394852 0.918745i \(-0.370796\pi\)
−0.995794 + 0.0916192i \(0.970796\pi\)
\(128\) −0.951057 0.309017i −0.0840623 0.0273135i
\(129\) −2.78999 + 8.58671i −0.245645 + 0.756017i
\(130\) 0.221631 0.233501i 0.0194383 0.0204794i
\(131\) −0.551316 1.69677i −0.0481687 0.148248i 0.924079 0.382201i \(-0.124834\pi\)
−0.972248 + 0.233953i \(0.924834\pi\)
\(132\) 2.53967i 0.221050i
\(133\) −29.6905 + 9.64703i −2.57449 + 0.836504i
\(134\) −6.18841 4.49614i −0.534597 0.388407i
\(135\) 2.21691 + 0.292102i 0.190801 + 0.0251402i
\(136\) −6.06035 + 4.40310i −0.519670 + 0.377563i
\(137\) 9.41828 12.9632i 0.804658 1.10752i −0.187467 0.982271i \(-0.560028\pi\)
0.992126 0.125246i \(-0.0399721\pi\)
\(138\) −0.985910 + 1.35699i −0.0839262 + 0.115515i
\(139\) −2.99660 + 2.17716i −0.254168 + 0.184664i −0.707572 0.706641i \(-0.750210\pi\)
0.453404 + 0.891305i \(0.350210\pi\)
\(140\) 9.10161 4.94051i 0.769226 0.417549i
\(141\) −8.80644 6.39825i −0.741636 0.538830i
\(142\) 9.76228 3.17196i 0.819232 0.266185i
\(143\) 0.365648i 0.0305770i
\(144\) −0.309017 0.951057i −0.0257514 0.0792547i
\(145\) 2.40545 + 4.43141i 0.199762 + 0.368009i
\(146\) 0.607465 1.86958i 0.0502741 0.154728i
\(147\) 13.7424 + 4.46517i 1.13345 + 0.368281i
\(148\) −0.0523017 0.0719871i −0.00429918 0.00591731i
\(149\) −1.88534 −0.154453 −0.0772267 0.997014i \(-0.524607\pi\)
−0.0772267 + 0.997014i \(0.524607\pi\)
\(150\) 4.66828 1.79084i 0.381164 0.146222i
\(151\) −6.15090 −0.500553 −0.250276 0.968174i \(-0.580522\pi\)
−0.250276 + 0.968174i \(0.580522\pi\)
\(152\) 3.96205 + 5.45330i 0.321365 + 0.442321i
\(153\) −7.12436 2.31485i −0.575971 0.187144i
\(154\) 3.63471 11.1865i 0.292893 0.901433i
\(155\) −2.02591 0.966575i −0.162725 0.0776371i
\(156\) −0.0444905 0.136928i −0.00356209 0.0109630i
\(157\) 23.4830i 1.87414i −0.349137 0.937072i \(-0.613525\pi\)
0.349137 0.937072i \(-0.386475\pi\)
\(158\) 0.710661 0.230908i 0.0565372 0.0183700i
\(159\) −4.01682 2.91839i −0.318554 0.231443i
\(160\) −1.62182 1.53938i −0.128216 0.121699i
\(161\) −6.28472 + 4.56611i −0.495305 + 0.359860i
\(162\) 0.587785 0.809017i 0.0461808 0.0635624i
\(163\) 9.27366 12.7641i 0.726369 0.999762i −0.272919 0.962037i \(-0.587989\pi\)
0.999288 0.0377245i \(-0.0120109\pi\)
\(164\) 2.48680 1.80677i 0.194187 0.141085i
\(165\) 2.44537 5.12542i 0.190372 0.399013i
\(166\) 2.51003 + 1.82364i 0.194816 + 0.141542i
\(167\) 3.84208 1.24837i 0.297309 0.0966016i −0.156564 0.987668i \(-0.550042\pi\)
0.453873 + 0.891066i \(0.350042\pi\)
\(168\) 4.63137i 0.357318i
\(169\) 4.01082 + 12.3440i 0.308524 + 0.949540i
\(170\) −16.4702 + 3.05076i −1.26321 + 0.233982i
\(171\) −2.08298 + 6.41074i −0.159289 + 0.490241i
\(172\) 8.58671 + 2.78999i 0.654730 + 0.212735i
\(173\) 11.8495 + 16.3094i 0.900899 + 1.23998i 0.970180 + 0.242384i \(0.0779295\pi\)
−0.0692809 + 0.997597i \(0.522070\pi\)
\(174\) 2.25493 0.170946
\(175\) 23.1254 1.20699i 1.74811 0.0912402i
\(176\) −2.53967 −0.191435
\(177\) −3.08802 4.25029i −0.232110 0.319472i
\(178\) −0.697947 0.226777i −0.0523134 0.0169976i
\(179\) 2.39818 7.38084i 0.179248 0.551670i −0.820554 0.571570i \(-0.806335\pi\)
0.999802 + 0.0198998i \(0.00633471\pi\)
\(180\) 0.292102 2.21691i 0.0217720 0.165238i
\(181\) 3.64358 + 11.2138i 0.270825 + 0.833515i 0.990294 + 0.138990i \(0.0443855\pi\)
−0.719469 + 0.694525i \(0.755615\pi\)
\(182\) 0.666798i 0.0494264i
\(183\) −13.0301 + 4.23374i −0.963214 + 0.312967i
\(184\) 1.35699 + 0.985910i 0.100039 + 0.0726822i
\(185\) −0.0362381 0.195640i −0.00266427 0.0143837i
\(186\) −0.812131 + 0.590048i −0.0595484 + 0.0432644i
\(187\) −11.1824 + 15.3913i −0.817741 + 1.12552i
\(188\) −6.39825 + 8.80644i −0.466641 + 0.642276i
\(189\) 3.74686 2.72225i 0.272544 0.198015i
\(190\) 2.74517 + 14.8205i 0.199156 + 1.07519i
\(191\) −3.95155 2.87097i −0.285924 0.207736i 0.435573 0.900153i \(-0.356546\pi\)
−0.721497 + 0.692417i \(0.756546\pi\)
\(192\) −0.951057 + 0.309017i −0.0686366 + 0.0223014i
\(193\) 18.7342i 1.34852i 0.738496 + 0.674258i \(0.235536\pi\)
−0.738496 + 0.674258i \(0.764464\pi\)
\(194\) 2.81837 + 8.67406i 0.202347 + 0.622761i
\(195\) 0.0420552 0.319178i 0.00301164 0.0228568i
\(196\) 4.46517 13.7424i 0.318941 0.981598i
\(197\) −1.19314 0.387674i −0.0850075 0.0276206i 0.266204 0.963917i \(-0.414230\pi\)
−0.351212 + 0.936296i \(0.614230\pi\)
\(198\) −1.49278 2.05464i −0.106087 0.146017i
\(199\) −19.3703 −1.37312 −0.686562 0.727071i \(-0.740881\pi\)
−0.686562 + 0.727071i \(0.740881\pi\)
\(200\) −1.79084 4.66828i −0.126632 0.330098i
\(201\) −7.64929 −0.539539
\(202\) 1.69290 + 2.33007i 0.119112 + 0.163943i
\(203\) 9.93229 + 3.22720i 0.697110 + 0.226505i
\(204\) −2.31485 + 7.12436i −0.162072 + 0.498805i
\(205\) 6.75839 1.25185i 0.472027 0.0874328i
\(206\) −3.45214 10.6246i −0.240522 0.740250i
\(207\) 1.67733i 0.116583i
\(208\) −0.136928 + 0.0444905i −0.00949423 + 0.00308486i
\(209\) 13.8496 + 10.0623i 0.957997 + 0.696026i
\(210\) 4.45940 9.34675i 0.307728 0.644987i
\(211\) 1.01062 0.734260i 0.0695741 0.0505485i −0.552455 0.833543i \(-0.686309\pi\)
0.622029 + 0.782994i \(0.286309\pi\)
\(212\) −2.91839 + 4.01682i −0.200436 + 0.275876i
\(213\) 6.03342 8.30429i 0.413403 0.569001i
\(214\) 11.3698 8.26061i 0.777221 0.564684i
\(215\) 14.6428 + 13.8985i 0.998629 + 0.947867i
\(216\) −0.809017 0.587785i −0.0550466 0.0399937i
\(217\) −4.42165 + 1.43668i −0.300161 + 0.0975283i
\(218\) 6.71867i 0.455046i
\(219\) −0.607465 1.86958i −0.0410487 0.126335i
\(220\) −5.12542 2.44537i −0.345556 0.164867i
\(221\) −0.333278 + 1.02573i −0.0224187 + 0.0689978i
\(222\) −0.0846260 0.0274966i −0.00567972 0.00184545i
\(223\) 12.8640 + 17.7058i 0.861437 + 1.18567i 0.981225 + 0.192867i \(0.0617787\pi\)
−0.119788 + 0.992800i \(0.538221\pi\)
\(224\) −4.63137 −0.309446
\(225\) 2.72409 4.19277i 0.181606 0.279518i
\(226\) 0.997621 0.0663607
\(227\) −8.52486 11.7335i −0.565815 0.778777i 0.426237 0.904612i \(-0.359839\pi\)
−0.992051 + 0.125835i \(0.959839\pi\)
\(228\) 6.41074 + 2.08298i 0.424562 + 0.137948i
\(229\) −1.45262 + 4.47071i −0.0959920 + 0.295433i −0.987511 0.157550i \(-0.949640\pi\)
0.891519 + 0.452983i \(0.149640\pi\)
\(230\) 1.78929 + 3.29630i 0.117982 + 0.217352i
\(231\) −3.63471 11.1865i −0.239146 0.736017i
\(232\) 2.25493i 0.148044i
\(233\) −11.2403 + 3.65218i −0.736374 + 0.239262i −0.653108 0.757265i \(-0.726535\pi\)
−0.0832661 + 0.996527i \(0.526535\pi\)
\(234\) −0.116478 0.0846260i −0.00761438 0.00553217i
\(235\) −21.3920 + 11.6119i −1.39546 + 0.757480i
\(236\) −4.25029 + 3.08802i −0.276671 + 0.201013i
\(237\) 0.439213 0.604525i 0.0285299 0.0392681i
\(238\) −20.3924 + 28.0677i −1.32184 + 1.81936i
\(239\) 7.85849 5.70953i 0.508324 0.369319i −0.303864 0.952716i \(-0.598277\pi\)
0.812187 + 0.583397i \(0.198277\pi\)
\(240\) −2.21691 0.292102i −0.143101 0.0188551i
\(241\) −5.40451 3.92661i −0.348135 0.252935i 0.399951 0.916537i \(-0.369027\pi\)
−0.748086 + 0.663601i \(0.769027\pi\)
\(242\) 4.32736 1.40604i 0.278173 0.0903839i
\(243\) 1.00000i 0.0641500i
\(244\) 4.23374 + 13.0301i 0.271037 + 0.834168i
\(245\) 22.2434 23.4347i 1.42108 1.49719i
\(246\) 0.949874 2.92341i 0.0605618 0.186390i
\(247\) 0.922982 + 0.299895i 0.0587279 + 0.0190819i
\(248\) 0.590048 + 0.812131i 0.0374681 + 0.0515704i
\(249\) 3.10257 0.196617
\(250\) 0.880772 11.1456i 0.0557049 0.704909i
\(251\) −19.6023 −1.23729 −0.618644 0.785672i \(-0.712317\pi\)
−0.618644 + 0.785672i \(0.712317\pi\)
\(252\) −2.72225 3.74686i −0.171486 0.236030i
\(253\) 4.05138 + 1.31637i 0.254708 + 0.0827597i
\(254\) −3.56039 + 10.9578i −0.223399 + 0.687551i
\(255\) −11.5315 + 12.1491i −0.722131 + 0.760804i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 9.46931i 0.590679i 0.955392 + 0.295340i \(0.0954328\pi\)
−0.955392 + 0.295340i \(0.904567\pi\)
\(258\) 8.58671 2.78999i 0.534585 0.173697i
\(259\) −0.333399 0.242229i −0.0207164 0.0150514i
\(260\) −0.319178 0.0420552i −0.0197946 0.00260815i
\(261\) 1.82428 1.32542i 0.112920 0.0820412i
\(262\) −1.04866 + 1.44336i −0.0647867 + 0.0891713i
\(263\) 12.4296 17.1079i 0.766441 1.05492i −0.230210 0.973141i \(-0.573941\pi\)
0.996651 0.0817747i \(-0.0260588\pi\)
\(264\) −2.05464 + 1.49278i −0.126454 + 0.0918745i
\(265\) −9.75738 + 5.29647i −0.599391 + 0.325360i
\(266\) 25.2563 + 18.3497i 1.54856 + 1.12509i
\(267\) −0.697947 + 0.226777i −0.0427137 + 0.0138785i
\(268\) 7.64929i 0.467255i
\(269\) 0.603355 + 1.85694i 0.0367872 + 0.113219i 0.967764 0.251859i \(-0.0810420\pi\)
−0.930977 + 0.365079i \(0.881042\pi\)
\(270\) −1.06675 1.96521i −0.0649203 0.119599i
\(271\) −4.91521 + 15.1274i −0.298577 + 0.918927i 0.683419 + 0.730027i \(0.260492\pi\)
−0.981996 + 0.188900i \(0.939508\pi\)
\(272\) 7.12436 + 2.31485i 0.431978 + 0.140358i
\(273\) −0.391934 0.539451i −0.0237209 0.0326491i
\(274\) −16.0233 −0.968006
\(275\) −7.98924 9.87020i −0.481769 0.595195i
\(276\) 1.67733 0.100963
\(277\) 1.16998 + 1.61033i 0.0702970 + 0.0967555i 0.842718 0.538356i \(-0.180954\pi\)
−0.772421 + 0.635111i \(0.780954\pi\)
\(278\) 3.52272 + 1.14460i 0.211278 + 0.0686485i
\(279\) −0.310207 + 0.954718i −0.0185716 + 0.0571575i
\(280\) −9.34675 4.45940i −0.558575 0.266500i
\(281\) −7.78302 23.9537i −0.464296 1.42896i −0.859866 0.510521i \(-0.829453\pi\)
0.395569 0.918436i \(-0.370547\pi\)
\(282\) 10.8854i 0.648214i
\(283\) 10.7090 3.47958i 0.636586 0.206839i 0.0270957 0.999633i \(-0.491374\pi\)
0.609490 + 0.792794i \(0.291374\pi\)
\(284\) −8.30429 6.03342i −0.492769 0.358018i
\(285\) 10.9321 + 10.3764i 0.647564 + 0.614647i
\(286\) −0.295815 + 0.214922i −0.0174919 + 0.0127086i
\(287\) 8.36781 11.5173i 0.493936 0.679845i
\(288\) −0.587785 + 0.809017i −0.0346356 + 0.0476718i
\(289\) 31.6448 22.9913i 1.86146 1.35243i
\(290\) 2.17120 4.55077i 0.127497 0.267230i
\(291\) 7.37859 + 5.36086i 0.432541 + 0.314259i
\(292\) −1.86958 + 0.607465i −0.109409 + 0.0355492i
\(293\) 20.0482i 1.17123i −0.810591 0.585613i \(-0.800854\pi\)
0.810591 0.585613i \(-0.199146\pi\)
\(294\) −4.46517 13.7424i −0.260414 0.801472i
\(295\) −11.5510 + 2.13958i −0.672527 + 0.124571i
\(296\) −0.0274966 + 0.0846260i −0.00159821 + 0.00491878i
\(297\) −2.41537 0.784803i −0.140154 0.0455389i
\(298\) 1.10818 + 1.52528i 0.0641950 + 0.0883569i
\(299\) 0.241492 0.0139659
\(300\) −4.19277 2.72409i −0.242070 0.157275i
\(301\) 41.8148 2.41016
\(302\) 3.61541 + 4.97618i 0.208043 + 0.286347i
\(303\) 2.73916 + 0.890008i 0.157361 + 0.0511296i
\(304\) 2.08298 6.41074i 0.119467 0.367681i
\(305\) −4.00200 + 30.3731i −0.229154 + 1.73916i
\(306\) 2.31485 + 7.12436i 0.132331 + 0.407273i
\(307\) 14.4493i 0.824668i −0.911033 0.412334i \(-0.864714\pi\)
0.911033 0.412334i \(-0.135286\pi\)
\(308\) −11.1865 + 3.63471i −0.637410 + 0.207107i
\(309\) −9.03781 6.56635i −0.514143 0.373547i
\(310\) 0.408824 + 2.20713i 0.0232196 + 0.125357i
\(311\) 19.0778 13.8608i 1.08180 0.785977i 0.103807 0.994597i \(-0.466897\pi\)
0.977997 + 0.208621i \(0.0668975\pi\)
\(312\) −0.0846260 + 0.116478i −0.00479100 + 0.00659425i
\(313\) 16.1598 22.2420i 0.913405 1.25719i −0.0525858 0.998616i \(-0.516746\pi\)
0.965991 0.258577i \(-0.0832537\pi\)
\(314\) −18.9981 + 13.8029i −1.07213 + 0.778945i
\(315\) −1.88615 10.1828i −0.106273 0.573738i
\(316\) −0.604525 0.439213i −0.0340072 0.0247077i
\(317\) −5.74985 + 1.86824i −0.322944 + 0.104931i −0.466002 0.884783i \(-0.654306\pi\)
0.143059 + 0.989714i \(0.454306\pi\)
\(318\) 4.96506i 0.278427i
\(319\) −1.76968 5.44650i −0.0990829 0.304946i
\(320\) −0.292102 + 2.21691i −0.0163290 + 0.123929i
\(321\) 4.34286 13.3660i 0.242395 0.746015i
\(322\) 7.38813 + 2.40055i 0.411724 + 0.133777i
\(323\) −29.6798 40.8507i −1.65143 2.27299i
\(324\) −1.00000 −0.0555556
\(325\) −0.603651 0.392199i −0.0334845 0.0217553i
\(326\) −15.7773 −0.873824
\(327\) −3.94914 5.43552i −0.218388 0.300585i
\(328\) −2.92341 0.949874i −0.161418 0.0524480i
\(329\) −15.5788 + 47.9467i −0.858888 + 2.64339i
\(330\) −5.58390 + 1.03430i −0.307384 + 0.0569362i
\(331\) 5.23211 + 16.1028i 0.287583 + 0.885089i 0.985613 + 0.169020i \(0.0540603\pi\)
−0.698030 + 0.716069i \(0.745940\pi\)
\(332\) 3.10257i 0.170275i
\(333\) −0.0846260 + 0.0274966i −0.00463747 + 0.00150681i
\(334\) −3.26827 2.37454i −0.178832 0.129929i
\(335\) −7.36525 + 15.4373i −0.402407 + 0.843432i
\(336\) −3.74686 + 2.72225i −0.204408 + 0.148511i
\(337\) −13.3205 + 18.3341i −0.725616 + 0.998724i 0.273703 + 0.961814i \(0.411751\pi\)
−0.999319 + 0.0369100i \(0.988249\pi\)
\(338\) 7.62902 10.5005i 0.414964 0.571149i
\(339\) 0.807092 0.586387i 0.0438352 0.0318482i
\(340\) 12.1491 + 11.5315i 0.658876 + 0.625384i
\(341\) 2.06255 + 1.49853i 0.111693 + 0.0811500i
\(342\) 6.41074 2.08298i 0.346653 0.112634i
\(343\) 34.5018i 1.86292i
\(344\) −2.78999 8.58671i −0.150426 0.462964i
\(345\) 3.38509 + 1.61505i 0.182247 + 0.0869512i
\(346\) 6.22964 19.1729i 0.334908 1.03074i
\(347\) −9.75025 3.16805i −0.523421 0.170070i 0.0353763 0.999374i \(-0.488737\pi\)
−0.558797 + 0.829304i \(0.688737\pi\)
\(348\) −1.32542 1.82428i −0.0710497 0.0977916i
\(349\) −1.38746 −0.0742691 −0.0371346 0.999310i \(-0.511823\pi\)
−0.0371346 + 0.999310i \(0.511823\pi\)
\(350\) −14.5692 17.9994i −0.778758 0.962107i
\(351\) −0.143974 −0.00768478
\(352\) 1.49278 + 2.05464i 0.0795656 + 0.109513i
\(353\) −12.2858 3.99189i −0.653906 0.212467i −0.0367706 0.999324i \(-0.511707\pi\)
−0.617136 + 0.786857i \(0.711707\pi\)
\(354\) −1.62347 + 4.99652i −0.0862863 + 0.265562i
\(355\) −10.9498 20.1722i −0.581156 1.07063i
\(356\) 0.226777 + 0.697947i 0.0120191 + 0.0369911i
\(357\) 34.6936i 1.83618i
\(358\) −7.38084 + 2.39818i −0.390089 + 0.126748i
\(359\) 7.98876 + 5.80417i 0.421630 + 0.306332i 0.778294 0.627901i \(-0.216086\pi\)
−0.356663 + 0.934233i \(0.616086\pi\)
\(360\) −1.96521 + 1.06675i −0.103576 + 0.0562226i
\(361\) −21.3875 + 15.5389i −1.12566 + 0.817837i
\(362\) 6.93051 9.53902i 0.364259 0.501360i
\(363\) 2.67445 3.68107i 0.140372 0.193206i
\(364\) −0.539451 + 0.391934i −0.0282749 + 0.0205429i
\(365\) −4.35799 0.574214i −0.228108 0.0300557i
\(366\) 11.0841 + 8.05305i 0.579374 + 0.420940i
\(367\) −5.05886 + 1.64372i −0.264070 + 0.0858016i −0.438060 0.898946i \(-0.644334\pi\)
0.173989 + 0.984748i \(0.444334\pi\)
\(368\) 1.67733i 0.0874369i
\(369\) −0.949874 2.92341i −0.0494485 0.152187i
\(370\) −0.136976 + 0.144311i −0.00712103 + 0.00750239i
\(371\) −7.10585 + 21.8696i −0.368918 + 1.13541i
\(372\) 0.954718 + 0.310207i 0.0494998 + 0.0160835i
\(373\) −5.69246 7.83499i −0.294744 0.405681i 0.635804 0.771851i \(-0.280669\pi\)
−0.930548 + 0.366170i \(0.880669\pi\)
\(374\) 19.0247 0.983744
\(375\) −5.83866 9.53468i −0.301507 0.492369i
\(376\) 10.8854 0.561369
\(377\) −0.190826 0.262649i −0.00982803 0.0135271i
\(378\) −4.40469 1.43117i −0.226553 0.0736116i
\(379\) 6.95968 21.4197i 0.357495 1.10026i −0.597054 0.802201i \(-0.703662\pi\)
0.954549 0.298055i \(-0.0963379\pi\)
\(380\) 10.3764 10.9321i 0.532300 0.560807i
\(381\) 3.56039 + 10.9578i 0.182404 + 0.561383i
\(382\) 4.88438i 0.249907i
\(383\) −6.85864 + 2.22851i −0.350460 + 0.113871i −0.478957 0.877839i \(-0.658985\pi\)
0.128497 + 0.991710i \(0.458985\pi\)
\(384\) 0.809017 + 0.587785i 0.0412850 + 0.0299953i
\(385\) −26.0756 3.43576i −1.32894 0.175102i
\(386\) 15.1563 11.0117i 0.771434 0.560479i
\(387\) 5.30688 7.30429i 0.269764 0.371298i
\(388\) 5.36086 7.37859i 0.272157 0.374591i
\(389\) 10.7139 7.78411i 0.543217 0.394670i −0.282062 0.959396i \(-0.591018\pi\)
0.825278 + 0.564726i \(0.191018\pi\)
\(390\) −0.282940 + 0.153584i −0.0143272 + 0.00777705i
\(391\) −10.1652 7.38545i −0.514076 0.373498i
\(392\) −13.7424 + 4.46517i −0.694095 + 0.225525i
\(393\) 1.78409i 0.0899957i
\(394\) 0.387674 + 1.19314i 0.0195307 + 0.0601094i
\(395\) −0.797111 1.46847i −0.0401070 0.0738867i
\(396\) −0.784803 + 2.41537i −0.0394378 + 0.121377i
\(397\) −27.8304 9.04265i −1.39677 0.453838i −0.488624 0.872494i \(-0.662501\pi\)
−0.908144 + 0.418657i \(0.862501\pi\)
\(398\) 11.3856 + 15.6709i 0.570707 + 0.785511i
\(399\) 31.2184 1.56288
\(400\) −2.72409 + 4.19277i −0.136205 + 0.209639i
\(401\) 27.4005 1.36832 0.684158 0.729334i \(-0.260170\pi\)
0.684158 + 0.729334i \(0.260170\pi\)
\(402\) 4.49614 + 6.18841i 0.224247 + 0.308650i
\(403\) 0.137455 + 0.0446618i 0.00684711 + 0.00222476i
\(404\) 0.890008 2.73916i 0.0442796 0.136279i
\(405\) −2.01814 0.962868i −0.100282 0.0478453i
\(406\) −3.22720 9.93229i −0.160163 0.492931i
\(407\) 0.225983i 0.0112016i
\(408\) 7.12436 2.31485i 0.352709 0.114602i
\(409\) 8.09226 + 5.87937i 0.400137 + 0.290716i 0.769597 0.638530i \(-0.220457\pi\)
−0.369460 + 0.929247i \(0.620457\pi\)
\(410\) −4.98525 4.73184i −0.246204 0.233689i
\(411\) −12.9632 + 9.41828i −0.639425 + 0.464570i
\(412\) −6.56635 + 9.03781i −0.323501 + 0.445261i
\(413\) −14.3018 + 19.6847i −0.703744 + 0.968620i
\(414\) 1.35699 0.985910i 0.0666924 0.0484548i
\(415\) 2.98736 6.26141i 0.146644 0.307360i
\(416\) 0.116478 + 0.0846260i 0.00571079 + 0.00414913i
\(417\) 3.52272 1.14460i 0.172508 0.0560513i
\(418\) 17.1191i 0.837320i
\(419\) 2.48795 + 7.65713i 0.121544 + 0.374075i 0.993256 0.115945i \(-0.0369895\pi\)
−0.871711 + 0.490020i \(0.836990\pi\)
\(420\) −10.1828 + 1.88615i −0.496872 + 0.0920349i
\(421\) 3.10662 9.56120i 0.151408 0.465984i −0.846372 0.532593i \(-0.821218\pi\)
0.997779 + 0.0666083i \(0.0212178\pi\)
\(422\) −1.18806 0.386023i −0.0578337 0.0187913i
\(423\) 6.39825 + 8.80644i 0.311094 + 0.428184i
\(424\) 4.96506 0.241125
\(425\) 13.4152 + 34.9701i 0.650733 + 1.69630i
\(426\) −10.2647 −0.497325
\(427\) 37.2967 + 51.3345i 1.80491 + 2.48425i
\(428\) −13.3660 4.34286i −0.646068 0.209920i
\(429\) −0.112991 + 0.347752i −0.00545528 + 0.0167896i
\(430\) 2.63727 20.0156i 0.127181 0.965236i
\(431\) 7.09793 + 21.8452i 0.341895 + 1.05225i 0.963225 + 0.268697i \(0.0865929\pi\)
−0.621329 + 0.783549i \(0.713407\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 17.1156 5.56121i 0.822525 0.267254i 0.132631 0.991165i \(-0.457657\pi\)
0.689893 + 0.723911i \(0.257657\pi\)
\(434\) 3.76128 + 2.73273i 0.180547 + 0.131175i
\(435\) −0.918335 4.95785i −0.0440308 0.237711i
\(436\) −5.43552 + 3.94914i −0.260314 + 0.189129i
\(437\) −6.64567 + 9.14699i −0.317906 + 0.437560i
\(438\) −1.15547 + 1.59036i −0.0552103 + 0.0759905i
\(439\) −21.1610 + 15.3743i −1.00996 + 0.733777i −0.964200 0.265176i \(-0.914570\pi\)
−0.0457572 + 0.998953i \(0.514570\pi\)
\(440\) 1.03430 + 5.58390i 0.0493082 + 0.266202i
\(441\) −11.6900 8.49326i −0.556665 0.404441i
\(442\) 1.02573 0.333278i 0.0487888 0.0158524i
\(443\) 40.5689i 1.92749i 0.266833 + 0.963743i \(0.414023\pi\)
−0.266833 + 0.963743i \(0.585977\pi\)
\(444\) 0.0274966 + 0.0846260i 0.00130493 + 0.00401617i
\(445\) −0.214364 + 1.62691i −0.0101618 + 0.0771230i
\(446\) 6.76301 20.8144i 0.320238 0.985590i
\(447\) 1.79307 + 0.582604i 0.0848093 + 0.0275562i
\(448\) 2.72225 + 3.74686i 0.128614 + 0.177022i
\(449\) 23.1589 1.09294 0.546468 0.837480i \(-0.315972\pi\)
0.546468 + 0.837480i \(0.315972\pi\)
\(450\) −4.99320 + 0.260613i −0.235382 + 0.0122854i
\(451\) −7.80660 −0.367598
\(452\) −0.586387 0.807092i −0.0275813 0.0379624i
\(453\) 5.84985 + 1.90073i 0.274850 + 0.0893042i
\(454\) −4.48178 + 13.7935i −0.210340 + 0.647361i
\(455\) −1.46607 + 0.271558i −0.0687303 + 0.0127308i
\(456\) −2.08298 6.41074i −0.0975443 0.300210i
\(457\) 38.3997i 1.79626i −0.439728 0.898131i \(-0.644925\pi\)
0.439728 0.898131i \(-0.355075\pi\)
\(458\) 4.47071 1.45262i 0.208903 0.0678766i
\(459\) 6.06035 + 4.40310i 0.282873 + 0.205519i
\(460\) 1.61505 3.38509i 0.0753020 0.157830i
\(461\) 26.3670 19.1567i 1.22803 0.892217i 0.231290 0.972885i \(-0.425705\pi\)
0.996741 + 0.0806677i \(0.0257053\pi\)
\(462\) −6.91363 + 9.51580i −0.321651 + 0.442715i
\(463\) 1.49167 2.05311i 0.0693238 0.0954160i −0.772947 0.634470i \(-0.781218\pi\)
0.842271 + 0.539054i \(0.181218\pi\)
\(464\) −1.82428 + 1.32542i −0.0846900 + 0.0615309i
\(465\) 1.62807 + 1.54531i 0.0754997 + 0.0716619i
\(466\) 9.56154 + 6.94686i 0.442930 + 0.321807i
\(467\) −1.42329 + 0.462456i −0.0658622 + 0.0213999i −0.341763 0.939786i \(-0.611024\pi\)
0.275901 + 0.961186i \(0.411024\pi\)
\(468\) 0.143974i 0.00665521i
\(469\) 10.9475 + 33.6928i 0.505506 + 1.55579i
\(470\) 21.9682 + 10.4812i 1.01332 + 0.483460i
\(471\) −7.25663 + 22.3336i −0.334368 + 1.02908i
\(472\) 4.99652 + 1.62347i 0.229983 + 0.0747262i
\(473\) −13.4777 18.5505i −0.619707 0.852954i
\(474\) −0.747233 −0.0343216
\(475\) 31.4673 12.0714i 1.44382 0.553876i
\(476\) 34.6936 1.59018
\(477\) 2.91839 + 4.01682i 0.133624 + 0.183917i
\(478\) −9.23821 3.00168i −0.422546 0.137294i
\(479\) −7.50880 + 23.1097i −0.343086 + 1.05591i 0.619514 + 0.784985i \(0.287330\pi\)
−0.962600 + 0.270925i \(0.912670\pi\)
\(480\) 1.06675 + 1.96521i 0.0486902 + 0.0896991i
\(481\) 0.00395881 + 0.0121840i 0.000180506 + 0.000555541i
\(482\) 6.68035i 0.304281i
\(483\) 7.38813 2.40055i 0.336171 0.109229i
\(484\) −3.68107 2.67445i −0.167321 0.121566i
\(485\) 17.9236 9.72923i 0.813868 0.441782i
\(486\) −0.809017 + 0.587785i −0.0366978 + 0.0266625i
\(487\) −5.87877 + 8.09143i −0.266392 + 0.366658i −0.921168 0.389166i \(-0.872763\pi\)
0.654775 + 0.755824i \(0.272763\pi\)
\(488\) 8.05305 11.0841i 0.364545 0.501753i
\(489\) −12.7641 + 9.27366i −0.577213 + 0.419370i
\(490\) −32.0334 4.22076i −1.44712 0.190674i
\(491\) −3.38163 2.45690i −0.152611 0.110878i 0.508860 0.860850i \(-0.330067\pi\)
−0.661470 + 0.749971i \(0.730067\pi\)
\(492\) −2.92341 + 0.949874i −0.131798 + 0.0428236i
\(493\) 16.8917i 0.760764i
\(494\) −0.299895 0.922982i −0.0134929 0.0415269i
\(495\) −3.90953 + 4.11890i −0.175720 + 0.185131i
\(496\) 0.310207 0.954718i 0.0139287 0.0428681i
\(497\) −45.2127 14.6905i −2.02807 0.658959i
\(498\) −1.82364 2.51003i −0.0817194 0.112477i
\(499\) −1.70548 −0.0763476 −0.0381738 0.999271i \(-0.512154\pi\)
−0.0381738 + 0.999271i \(0.512154\pi\)
\(500\) −9.53468 + 5.83866i −0.426404 + 0.261113i
\(501\) −4.03980 −0.180485
\(502\) 11.5220 + 15.8586i 0.514250 + 0.707804i
\(503\) 29.4265 + 9.56125i 1.31206 + 0.426315i 0.879762 0.475414i \(-0.157702\pi\)
0.432301 + 0.901729i \(0.357702\pi\)
\(504\) −1.43117 + 4.40469i −0.0637495 + 0.196201i
\(505\) 4.43361 4.67105i 0.197293 0.207859i
\(506\) −1.31637 4.05138i −0.0585199 0.180106i
\(507\) 12.9793i 0.576430i
\(508\) 10.9578 3.56039i 0.486172 0.157967i
\(509\) −29.2182 21.2283i −1.29507 0.940926i −0.295179 0.955442i \(-0.595379\pi\)
−0.999895 + 0.0145162i \(0.995379\pi\)
\(510\) 16.6068 + 2.18814i 0.735364 + 0.0968924i
\(511\) −7.36556 + 5.35139i −0.325833 + 0.236732i
\(512\) 0.587785 0.809017i 0.0259767 0.0357538i
\(513\) 3.96205 5.45330i 0.174929 0.240769i
\(514\) 7.66083 5.56592i 0.337905 0.245502i
\(515\) −21.9540 + 11.9170i −0.967410 + 0.525127i
\(516\) −7.30429 5.30688i −0.321553 0.233622i
\(517\) 26.2922 8.54286i 1.15633 0.375714i
\(518\) 0.412104i 0.0181068i
\(519\) −6.22964 19.1729i −0.273451 0.841595i
\(520\) 0.153584 + 0.282940i 0.00673513 + 0.0124077i
\(521\) 1.38131 4.25122i 0.0605161 0.186249i −0.916228 0.400657i \(-0.868782\pi\)
0.976744 + 0.214407i \(0.0687820\pi\)
\(522\) −2.14457 0.696812i −0.0938652 0.0304986i
\(523\) −18.0150 24.7955i −0.787741 1.08423i −0.994386 0.105817i \(-0.966254\pi\)
0.206644 0.978416i \(-0.433746\pi\)
\(524\) 1.78409 0.0779385
\(525\) −22.3665 5.99821i −0.976155 0.261784i
\(526\) −21.1465 −0.922030
\(527\) −4.42005 6.08368i −0.192540 0.265009i
\(528\) 2.41537 + 0.784803i 0.105116 + 0.0341541i
\(529\) 6.23799 19.1986i 0.271217 0.834720i
\(530\) 10.0202 + 4.78070i 0.435249 + 0.207660i
\(531\) 1.62347 + 4.99652i 0.0704525 + 0.216830i
\(532\) 31.2184i 1.35349i
\(533\) −0.420896 + 0.136757i −0.0182310 + 0.00592362i
\(534\) 0.593709 + 0.431355i 0.0256923 + 0.0186666i
\(535\) −22.7928 21.6341i −0.985417 0.935326i
\(536\) 6.18841 4.49614i 0.267298 0.194204i
\(537\) −4.56161 + 6.27852i −0.196848 + 0.270938i
\(538\) 1.14765 1.57960i 0.0494787 0.0681016i
\(539\) −29.6887 + 21.5701i −1.27878 + 0.929090i
\(540\) −0.962868 + 2.01814i −0.0414352 + 0.0868469i
\(541\) −11.9065 8.65055i −0.511899 0.371916i 0.301645 0.953420i \(-0.402464\pi\)
−0.813543 + 0.581504i \(0.802464\pi\)
\(542\) 15.1274 4.91521i 0.649780 0.211126i
\(543\) 11.7909i 0.505995i
\(544\) −2.31485 7.12436i −0.0992482 0.305455i
\(545\) −14.7721 + 2.73622i −0.632769 + 0.117207i
\(546\) −0.206052 + 0.634163i −0.00881821 + 0.0271397i
\(547\) 10.1457 + 3.29653i 0.433798 + 0.140950i 0.517773 0.855518i \(-0.326761\pi\)
−0.0839742 + 0.996468i \(0.526761\pi\)
\(548\) 9.41828 + 12.9632i 0.402329 + 0.553759i
\(549\) 13.7007 0.584730
\(550\) −3.28920 + 12.2650i −0.140252 + 0.522981i
\(551\) 15.1997 0.647529
\(552\) −0.985910 1.35699i −0.0419631 0.0577573i
\(553\) −3.29134 1.06942i −0.139962 0.0454764i
\(554\) 0.615092 1.89306i 0.0261328 0.0804284i
\(555\) −0.0259916 + 0.197263i −0.00110328 + 0.00837333i
\(556\) −1.14460 3.52272i −0.0485418 0.149396i
\(557\) 16.1652i 0.684942i −0.939528 0.342471i \(-0.888736\pi\)
0.939528 0.342471i \(-0.111264\pi\)
\(558\) 0.954718 0.310207i 0.0404164 0.0131321i
\(559\) −1.05163 0.764054i −0.0444792 0.0323160i
\(560\) 1.88615 + 10.1828i 0.0797045 + 0.430304i
\(561\) 15.3913 11.1824i 0.649821 0.472123i
\(562\) −14.8042 + 20.3762i −0.624477 + 0.859519i
\(563\) −25.5559 + 35.1746i −1.07705 + 1.48243i −0.214326 + 0.976762i \(0.568755\pi\)
−0.862726 + 0.505672i \(0.831245\pi\)
\(564\) 8.80644 6.39825i 0.370818 0.269415i
\(565\) −0.406287 2.19344i −0.0170926 0.0922786i
\(566\) −9.10965 6.61855i −0.382907 0.278198i
\(567\) −4.40469 + 1.43117i −0.184980 + 0.0601036i
\(568\) 10.2647i 0.430696i
\(569\) −3.71683 11.4392i −0.155818 0.479558i 0.842425 0.538813i \(-0.181127\pi\)
−0.998243 + 0.0592558i \(0.981127\pi\)
\(570\) 1.96896 14.9434i 0.0824706 0.625910i
\(571\) 5.80332 17.8608i 0.242861 0.747450i −0.753120 0.657884i \(-0.771452\pi\)
0.995981 0.0895664i \(-0.0285481\pi\)
\(572\) 0.347752 + 0.112991i 0.0145402 + 0.00472441i
\(573\) 2.87097 + 3.95155i 0.119936 + 0.165078i
\(574\) −14.2362 −0.594206
\(575\) 6.51878 5.27650i 0.271852 0.220045i
\(576\) 1.00000 0.0416667
\(577\) −12.4817 17.1796i −0.519619 0.715195i 0.465885 0.884845i \(-0.345736\pi\)
−0.985504 + 0.169651i \(0.945736\pi\)
\(578\) −37.2007 12.0872i −1.54734 0.502762i
\(579\) 5.78918 17.8173i 0.240590 0.740460i
\(580\) −4.95785 + 0.918335i −0.205863 + 0.0381318i
\(581\) −4.44031 13.6659i −0.184215 0.566955i
\(582\) 9.12044i 0.378055i
\(583\) 11.9925 3.89659i 0.496678 0.161380i
\(584\) 1.59036 + 1.15547i 0.0658097 + 0.0478135i
\(585\) −0.138628 + 0.290560i −0.00573157 + 0.0120132i
\(586\) −16.2193 + 11.7840i −0.670013 + 0.486793i
\(587\) 19.1781 26.3964i 0.791566 1.08950i −0.202345 0.979314i \(-0.564856\pi\)
0.993911 0.110183i \(-0.0351438\pi\)
\(588\) −8.49326 + 11.6900i −0.350256 + 0.482086i
\(589\) −5.47429 + 3.97731i −0.225564 + 0.163882i
\(590\) 8.52049 + 8.08737i 0.350783 + 0.332952i
\(591\) 1.01494 + 0.737399i 0.0417492 + 0.0303326i
\(592\) 0.0846260 0.0274966i 0.00347811 0.00113011i
\(593\) 0.911868i 0.0374460i −0.999825 0.0187230i \(-0.994040\pi\)
0.999825 0.0187230i \(-0.00596006\pi\)
\(594\) 0.784803 + 2.41537i 0.0322008 + 0.0991040i
\(595\) 70.0165 + 33.4053i 2.87040 + 1.36949i
\(596\) 0.582604 1.79307i 0.0238644 0.0734470i
\(597\) 18.4222 + 5.98575i 0.753972 + 0.244980i
\(598\) −0.141946 0.195371i −0.00580459 0.00798933i
\(599\) 35.5516 1.45260 0.726300 0.687378i \(-0.241238\pi\)
0.726300 + 0.687378i \(0.241238\pi\)
\(600\) 0.260613 + 4.99320i 0.0106395 + 0.203847i
\(601\) −42.8608 −1.74833 −0.874164 0.485630i \(-0.838590\pi\)
−0.874164 + 0.485630i \(0.838590\pi\)
\(602\) −24.5781 33.8289i −1.00173 1.37876i
\(603\) 7.27491 + 2.36376i 0.296257 + 0.0962598i
\(604\) 1.90073 5.84985i 0.0773397 0.238027i
\(605\) −4.85377 8.94180i −0.197334 0.363536i
\(606\) −0.890008 2.73916i −0.0361541 0.111271i
\(607\) 47.7389i 1.93766i 0.247724 + 0.968831i \(0.420317\pi\)
−0.247724 + 0.968831i \(0.579683\pi\)
\(608\) −6.41074 + 2.08298i −0.259990 + 0.0844758i
\(609\) −8.44891 6.13849i −0.342367 0.248744i
\(610\) 26.9247 14.6152i 1.09015 0.591752i
\(611\) 1.26790 0.921184i 0.0512938 0.0372671i
\(612\) 4.40310 6.06035i 0.177985 0.244975i
\(613\) −14.4025 + 19.8234i −0.581713 + 0.800660i −0.993882 0.110448i \(-0.964771\pi\)
0.412169 + 0.911108i \(0.364771\pi\)
\(614\) −11.6898 + 8.49311i −0.471761 + 0.342754i
\(615\) −6.81446 0.897881i −0.274785 0.0362061i
\(616\) 9.51580 + 6.91363i 0.383402 + 0.278558i
\(617\) −2.49230 + 0.809796i −0.100336 + 0.0326012i −0.358755 0.933432i \(-0.616799\pi\)
0.258419 + 0.966033i \(0.416799\pi\)
\(618\) 11.1713i 0.449378i
\(619\) 2.08751 + 6.42470i 0.0839041 + 0.258230i 0.984204 0.177041i \(-0.0566525\pi\)
−0.900299 + 0.435271i \(0.856652\pi\)
\(620\) 1.54531 1.62807i 0.0620610 0.0653847i
\(621\) 0.518324 1.59524i 0.0207996 0.0640146i
\(622\) −22.4273 7.28708i −0.899254 0.292185i
\(623\) 1.99777 + 2.74969i 0.0800388 + 0.110164i
\(624\) 0.143974 0.00576358
\(625\) −24.8642 + 2.60258i −0.994566 + 0.104103i
\(626\) −27.4927 −1.09883
\(627\) −10.0623 13.8496i −0.401851 0.553100i
\(628\) 22.3336 + 7.25663i 0.891208 + 0.289571i
\(629\) 0.205977 0.633933i 0.00821285 0.0252766i
\(630\) −7.12944 + 7.51126i −0.284044 + 0.299256i
\(631\) −9.31855 28.6796i −0.370966 1.14172i −0.946160 0.323699i \(-0.895074\pi\)
0.575194 0.818017i \(-0.304926\pi\)
\(632\) 0.747233i 0.0297234i
\(633\) −1.18806 + 0.386023i −0.0472210 + 0.0153430i
\(634\) 4.89111 + 3.55360i 0.194251 + 0.141132i
\(635\) 25.5425 + 3.36551i 1.01362 + 0.133556i
\(636\) 4.01682 2.91839i 0.159277 0.115722i
\(637\) −1.22281 + 1.68305i −0.0484495 + 0.0666850i
\(638\) −3.36612 + 4.63307i −0.133266 + 0.183425i
\(639\) −8.30429 + 6.03342i −0.328513 + 0.238678i
\(640\) 1.96521 1.06675i 0.0776817 0.0421670i
\(641\) −16.6059 12.0649i −0.655892 0.476534i 0.209381 0.977834i \(-0.432855\pi\)
−0.865273 + 0.501301i \(0.832855\pi\)
\(642\) −13.3660 + 4.34286i −0.527512 + 0.171399i
\(643\) 33.4413i 1.31880i 0.751793 + 0.659399i \(0.229189\pi\)
−0.751793 + 0.659399i \(0.770811\pi\)
\(644\) −2.40055 7.38813i −0.0945949 0.291133i
\(645\) −9.63125 17.7431i −0.379230 0.698633i
\(646\) −15.6036 + 48.0228i −0.613914 + 1.88943i
\(647\) 17.2006 + 5.58881i 0.676224 + 0.219719i 0.626942 0.779066i \(-0.284306\pi\)
0.0492828 + 0.998785i \(0.484306\pi\)
\(648\) 0.587785 + 0.809017i 0.0230904 + 0.0317812i
\(649\) 13.3426 0.523742
\(650\) 0.0375215 + 0.718893i 0.00147172 + 0.0281973i
\(651\) 4.64920 0.182217
\(652\) 9.27366 + 12.7641i 0.363185 + 0.499881i
\(653\) −29.4770 9.57766i −1.15352 0.374803i −0.331055 0.943612i \(-0.607404\pi\)
−0.822470 + 0.568809i \(0.807404\pi\)
\(654\) −2.07618 + 6.38984i −0.0811852 + 0.249862i
\(655\) 3.60055 + 1.71785i 0.140685 + 0.0671218i
\(656\) 0.949874 + 2.92341i 0.0370864 + 0.114140i
\(657\) 1.96580i 0.0766930i
\(658\) 47.9467 15.5788i 1.86916 0.607326i
\(659\) −17.4953 12.7110i −0.681519 0.495152i 0.192343 0.981328i \(-0.438392\pi\)
−0.873861 + 0.486176i \(0.838392\pi\)
\(660\) 4.11890 + 3.90953i 0.160328 + 0.152178i
\(661\) 29.7396 21.6071i 1.15674 0.840418i 0.167374 0.985893i \(-0.446471\pi\)
0.989362 + 0.145476i \(0.0464713\pi\)
\(662\) 9.95207 13.6978i 0.386798 0.532382i
\(663\) 0.633933 0.872534i 0.0246199 0.0338864i
\(664\) −2.51003 + 1.82364i −0.0974080 + 0.0707710i
\(665\) 30.0592 63.0032i 1.16565 2.44316i
\(666\) 0.0719871 + 0.0523017i 0.00278945 + 0.00202665i
\(667\) 3.59715 1.16878i 0.139282 0.0452555i
\(668\) 4.03980i 0.156305i
\(669\) −6.76301 20.8144i −0.261473 0.804731i
\(670\) 16.8183 3.11522i 0.649746 0.120351i
\(671\) 10.7523 33.0923i 0.415089 1.27751i
\(672\) 4.40469 + 1.43117i 0.169915 + 0.0552087i
\(673\) 18.1235 + 24.9448i 0.698608 + 0.961552i 0.999968 + 0.00804101i \(0.00255956\pi\)
−0.301360 + 0.953511i \(0.597440\pi\)
\(674\) 22.6622 0.872917
\(675\) −3.88640 + 3.14577i −0.149588 + 0.121081i
\(676\) −12.9793 −0.499203
\(677\) 15.1708 + 20.8808i 0.583061 + 0.802515i 0.994027 0.109136i \(-0.0348085\pi\)
−0.410966 + 0.911651i \(0.634808\pi\)
\(678\) −0.948794 0.308282i −0.0364382 0.0118395i
\(679\) 13.0529 40.1728i 0.500925 1.54169i
\(680\) 2.18814 16.6068i 0.0839113 0.636844i
\(681\) 4.48178 + 13.7935i 0.171742 + 0.528568i
\(682\) 2.54945i 0.0976235i
\(683\) 19.8582 6.45234i 0.759855 0.246892i 0.0966385 0.995320i \(-0.469191\pi\)
0.663216 + 0.748428i \(0.269191\pi\)
\(684\) −5.45330 3.96205i −0.208512 0.151493i
\(685\) 6.52560 + 35.2300i 0.249331 + 1.34607i
\(686\) −27.9126 + 20.2797i −1.06571 + 0.774281i
\(687\) 2.76305 3.80302i 0.105417 0.145094i
\(688\) −5.30688 + 7.30429i −0.202323 + 0.278473i
\(689\) 0.578318 0.420173i 0.0220322 0.0160073i
\(690\) −0.683103 3.68789i −0.0260053 0.140396i
\(691\) −16.7033 12.1357i −0.635424 0.461662i 0.222851 0.974852i \(-0.428464\pi\)
−0.858275 + 0.513190i \(0.828464\pi\)
\(692\) −19.1729 + 6.22964i −0.728843 + 0.236815i
\(693\) 11.7622i 0.446808i
\(694\) 3.16805 + 9.75025i 0.120258 + 0.370115i
\(695\) 1.08195 8.21143i 0.0410406 0.311477i
\(696\) −0.696812 + 2.14457i −0.0264126 + 0.0812896i
\(697\) 21.8993 + 7.11551i 0.829494 + 0.269519i
\(698\) 0.815529 + 1.12248i 0.0308682 + 0.0424865i
\(699\) 11.8187 0.447025
\(700\) −5.99821 + 22.3665i −0.226711 + 0.845375i
\(701\) −12.3050 −0.464752 −0.232376 0.972626i \(-0.574650\pi\)
−0.232376 + 0.972626i \(0.574650\pi\)
\(702\) 0.0846260 + 0.116478i 0.00319400 + 0.00439617i
\(703\) −0.570434 0.185345i −0.0215143 0.00699043i
\(704\) 0.784803 2.41537i 0.0295784 0.0910328i
\(705\) 23.9333 4.43313i 0.901380 0.166961i
\(706\) 3.99189 + 12.2858i 0.150237 + 0.462382i
\(707\) 13.3389i 0.501662i
\(708\) 4.99652 1.62347i 0.187781 0.0610137i
\(709\) −19.9814 14.5173i −0.750417 0.545210i 0.145539 0.989353i \(-0.453508\pi\)
−0.895956 + 0.444143i \(0.853508\pi\)
\(710\) −9.88352 + 20.7155i −0.370922 + 0.777440i
\(711\) −0.604525 + 0.439213i −0.0226714 + 0.0164718i
\(712\) 0.431355 0.593709i 0.0161657 0.0222502i
\(713\) −0.989705 + 1.36221i −0.0370648 + 0.0510153i
\(714\) 28.0677 20.3924i 1.05041 0.763166i
\(715\) 0.593016 + 0.562871i 0.0221775 + 0.0210502i
\(716\) 6.27852 + 4.56161i 0.234639 + 0.170475i
\(717\) −9.23821 + 3.00168i −0.345007 + 0.112100i
\(718\) 9.87465i 0.368519i
\(719\) 6.49650 + 19.9942i 0.242279 + 0.745657i 0.996072 + 0.0885457i \(0.0282219\pi\)
−0.753793 + 0.657111i \(0.771778\pi\)
\(720\) 2.01814 + 0.962868i 0.0752116 + 0.0358840i
\(721\) −15.9881 + 49.2064i −0.595429 + 1.83254i
\(722\) 25.1425 + 8.16929i 0.935706 + 0.304029i
\(723\) 3.92661 + 5.40451i 0.146032 + 0.200996i
\(724\) −11.7909 −0.438205
\(725\) −10.8899 2.92042i −0.404439 0.108462i
\(726\) −4.55005 −0.168868
\(727\) −5.09683 7.01519i −0.189031 0.260179i 0.703974 0.710226i \(-0.251407\pi\)
−0.893005 + 0.450047i \(0.851407\pi\)
\(728\) 0.634163 + 0.206052i 0.0235036 + 0.00763680i
\(729\) −0.309017 + 0.951057i −0.0114451 + 0.0352243i
\(730\) 2.09701 + 3.86320i 0.0776139 + 0.142983i
\(731\) 20.8998 + 64.3230i 0.773008 + 2.37907i
\(732\) 13.7007i 0.506391i
\(733\) −32.2766 + 10.4873i −1.19216 + 0.387357i −0.836872 0.547398i \(-0.815618\pi\)
−0.355291 + 0.934756i \(0.615618\pi\)
\(734\) 4.30332 + 3.12654i 0.158838 + 0.115403i
\(735\) −28.3965 + 15.4141i −1.04742 + 0.568557i
\(736\) −1.35699 + 0.985910i −0.0500193 + 0.0363411i
\(737\) 11.4187 15.7165i 0.420614 0.578926i
\(738\) −1.80677 + 2.48680i −0.0665080 + 0.0915405i
\(739\) −13.2781 + 9.64708i −0.488442 + 0.354874i −0.804585 0.593838i \(-0.797612\pi\)
0.316143 + 0.948712i \(0.397612\pi\)
\(740\) 0.197263 + 0.0259916i 0.00725152 + 0.000955469i
\(741\) −0.785135 0.570434i −0.0288427 0.0209554i
\(742\) 21.8696 7.10585i 0.802857 0.260864i
\(743\) 3.98742i 0.146284i 0.997322 + 0.0731422i \(0.0233027\pi\)
−0.997322 + 0.0731422i \(0.976697\pi\)
\(744\) −0.310207 0.954718i −0.0113727 0.0350017i
\(745\) 2.90226 3.05769i 0.106331 0.112025i
\(746\) −2.99270 + 9.21059i −0.109571 + 0.337224i
\(747\) −2.95072 0.958745i −0.107961 0.0350787i
\(748\) −11.1824 15.3913i −0.408870 0.562762i
\(749\) −65.0883 −2.37828
\(750\) −4.28184 + 10.3279i −0.156351 + 0.377122i
\(751\) 37.5827 1.37141 0.685706 0.727879i \(-0.259494\pi\)
0.685706 + 0.727879i \(0.259494\pi\)
\(752\) −6.39825 8.80644i −0.233320 0.321138i
\(753\) 18.6429 + 6.05745i 0.679385 + 0.220746i
\(754\) −0.100323 + 0.308763i −0.00365355 + 0.0112445i
\(755\) 9.46858 9.97566i 0.344597 0.363051i
\(756\) 1.43117 + 4.40469i 0.0520512 + 0.160197i
\(757\) 31.2749i 1.13671i 0.822785 + 0.568353i \(0.192419\pi\)
−0.822785 + 0.568353i \(0.807581\pi\)
\(758\) −21.4197 + 6.95968i −0.777999 + 0.252787i
\(759\) −3.44631 2.50389i −0.125093 0.0908855i
\(760\) −14.9434 1.96896i −0.542054 0.0714217i
\(761\) −24.2292 + 17.6035i −0.878306 + 0.638127i −0.932803 0.360387i \(-0.882645\pi\)
0.0544967 + 0.998514i \(0.482645\pi\)
\(762\) 6.77227 9.32123i 0.245333 0.337673i
\(763\) −18.2899 + 25.1739i −0.662139 + 0.911357i
\(764\) 3.95155 2.87097i 0.142962 0.103868i
\(765\) 14.7214 7.99102i 0.532253 0.288916i
\(766\) 5.83431 + 4.23887i 0.210802 + 0.153157i
\(767\) 0.719370 0.233738i 0.0259750 0.00843978i
\(768\) 1.00000i 0.0360844i