Properties

Label 300.2.w.a.67.2
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.2
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37859 - 0.315398i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.80105 + 0.869612i) q^{4} +(2.22681 + 0.203301i) q^{5} +(-1.31228 - 0.527175i) q^{6} +(2.91192 - 2.91192i) q^{7} +(-2.20864 - 1.76689i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.37859 - 0.315398i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.80105 + 0.869612i) q^{4} +(2.22681 + 0.203301i) q^{5} +(-1.31228 - 0.527175i) q^{6} +(2.91192 - 2.91192i) q^{7} +(-2.20864 - 1.76689i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-3.00574 - 0.982600i) q^{10} +(-2.79799 + 0.909123i) q^{11} +(1.64284 + 1.14065i) q^{12} +(-0.922241 - 1.81000i) q^{13} +(-4.93278 + 3.09595i) q^{14} +(2.16759 + 0.549147i) q^{15} +(2.48755 + 3.13243i) q^{16} +(0.653515 + 4.12613i) q^{17} +(-1.21366 - 0.725971i) q^{18} +(-2.04108 - 1.48293i) q^{19} +(3.83379 + 2.30261i) q^{20} +(3.33160 - 2.42055i) q^{21} +(4.14404 - 0.370831i) q^{22} +(0.577981 - 1.13435i) q^{23} +(-1.90505 - 2.09064i) q^{24} +(4.91734 + 0.905424i) q^{25} +(0.700527 + 2.78613i) q^{26} +(0.891007 + 0.453990i) q^{27} +(7.77676 - 2.71227i) q^{28} +(-4.10725 - 5.65314i) q^{29} +(-2.81503 - 1.44070i) q^{30} +(-4.56619 + 6.28482i) q^{31} +(-2.44136 - 5.10292i) q^{32} +(-2.90576 + 0.460228i) q^{33} +(0.400441 - 5.89438i) q^{34} +(7.07629 - 5.89230i) q^{35} +(1.44417 + 1.38360i) q^{36} +(9.09435 - 4.63380i) q^{37} +(2.34611 + 2.68812i) q^{38} +(-0.627740 - 1.93199i) q^{39} +(-4.55901 - 4.38354i) q^{40} +(-1.48215 + 4.56160i) q^{41} +(-5.35636 + 2.28618i) q^{42} +(4.56222 + 4.56222i) q^{43} +(-5.82991 - 0.795794i) q^{44} +(2.05500 + 0.881472i) q^{45} +(-1.15457 + 1.38152i) q^{46} +(-0.753158 + 4.75525i) q^{47} +(1.96690 + 3.48300i) q^{48} -9.95861i q^{49} +(-6.49345 - 2.79913i) q^{50} +4.17756i q^{51} +(-0.0870029 - 4.06189i) q^{52} +(0.396929 - 2.50611i) q^{53} +(-1.08515 - 0.906891i) q^{54} +(-6.41542 + 1.45561i) q^{55} +(-11.5764 + 1.28635i) q^{56} +(-1.78397 - 1.78397i) q^{57} +(3.87924 + 9.08881i) q^{58} +(-1.41128 + 4.34348i) q^{59} +(3.42639 + 2.87400i) q^{60} +(3.01297 + 9.27297i) q^{61} +(8.27714 - 7.22405i) q^{62} +(3.66924 - 1.86957i) q^{63} +(1.75620 + 7.80485i) q^{64} +(-1.68568 - 4.21801i) q^{65} +(4.15103 + 0.282004i) q^{66} +(-14.9494 + 2.36776i) q^{67} +(-2.41112 + 7.99966i) q^{68} +(0.748317 - 1.02997i) q^{69} +(-11.6138 + 5.89124i) q^{70} +(3.33031 + 4.58377i) q^{71} +(-1.55454 - 2.36292i) q^{72} +(-7.97187 - 4.06187i) q^{73} +(-13.9989 + 3.51980i) q^{74} +(4.71516 + 1.66352i) q^{75} +(-2.38651 - 4.44578i) q^{76} +(-5.50025 + 10.7948i) q^{77} +(0.256055 + 2.86141i) q^{78} +(-7.70950 + 5.60128i) q^{79} +(4.90247 + 7.48103i) q^{80} +(0.809017 + 0.587785i) q^{81} +(3.48201 - 5.82113i) q^{82} +(-2.36463 - 14.9297i) q^{83} +(8.10531 - 1.46233i) q^{84} +(0.616405 + 9.32095i) q^{85} +(-4.85054 - 7.72837i) q^{86} +(-3.17233 - 6.22606i) q^{87} +(7.78609 + 2.93582i) q^{88} +(3.68014 - 1.19575i) q^{89} +(-2.55499 - 1.86333i) q^{90} +(-7.95608 - 2.58509i) q^{91} +(2.02742 - 1.54040i) q^{92} +(-5.49313 + 5.49313i) q^{93} +(2.53810 - 6.31802i) q^{94} +(-4.24361 - 3.71716i) q^{95} +(-1.61303 - 5.42200i) q^{96} +(-17.8238 - 2.82302i) q^{97} +(-3.14092 + 13.7289i) q^{98} -2.94198 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37859 0.315398i −0.974814 0.223020i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) 1.80105 + 0.869612i 0.900524 + 0.434806i
\(5\) 2.22681 + 0.203301i 0.995858 + 0.0909190i
\(6\) −1.31228 0.527175i −0.535737 0.215218i
\(7\) 2.91192 2.91192i 1.10060 1.10060i 0.106266 0.994338i \(-0.466110\pi\)
0.994338 0.106266i \(-0.0338896\pi\)
\(8\) −2.20864 1.76689i −0.780873 0.624690i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −3.00574 0.982600i −0.950500 0.310725i
\(11\) −2.79799 + 0.909123i −0.843627 + 0.274111i −0.698774 0.715342i \(-0.746271\pi\)
−0.144853 + 0.989453i \(0.546271\pi\)
\(12\) 1.64284 + 1.14065i 0.474246 + 0.329278i
\(13\) −0.922241 1.81000i −0.255784 0.502004i 0.727030 0.686606i \(-0.240900\pi\)
−0.982813 + 0.184602i \(0.940900\pi\)
\(14\) −4.93278 + 3.09595i −1.31834 + 0.827427i
\(15\) 2.16759 + 0.549147i 0.559669 + 0.141789i
\(16\) 2.48755 + 3.13243i 0.621887 + 0.783107i
\(17\) 0.653515 + 4.12613i 0.158501 + 1.00073i 0.930814 + 0.365492i \(0.119099\pi\)
−0.772314 + 0.635241i \(0.780901\pi\)
\(18\) −1.21366 0.725971i −0.286062 0.171113i
\(19\) −2.04108 1.48293i −0.468256 0.340208i 0.328505 0.944502i \(-0.393455\pi\)
−0.796761 + 0.604294i \(0.793455\pi\)
\(20\) 3.83379 + 2.30261i 0.857262 + 0.514880i
\(21\) 3.33160 2.42055i 0.727015 0.528207i
\(22\) 4.14404 0.370831i 0.883511 0.0790615i
\(23\) 0.577981 1.13435i 0.120517 0.236529i −0.822864 0.568238i \(-0.807625\pi\)
0.943382 + 0.331709i \(0.107625\pi\)
\(24\) −1.90505 2.09064i −0.388866 0.426751i
\(25\) 4.91734 + 0.905424i 0.983467 + 0.181085i
\(26\) 0.700527 + 2.78613i 0.137385 + 0.546405i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 7.77676 2.71227i 1.46967 0.512571i
\(29\) −4.10725 5.65314i −0.762697 1.04976i −0.996985 0.0775947i \(-0.975276\pi\)
0.234288 0.972167i \(-0.424724\pi\)
\(30\) −2.81503 1.44070i −0.513951 0.263035i
\(31\) −4.56619 + 6.28482i −0.820111 + 1.12879i 0.169572 + 0.985518i \(0.445761\pi\)
−0.989684 + 0.143269i \(0.954239\pi\)
\(32\) −2.44136 5.10292i −0.431576 0.902077i
\(33\) −2.90576 + 0.460228i −0.505829 + 0.0801154i
\(34\) 0.400441 5.89438i 0.0686750 1.01088i
\(35\) 7.07629 5.89230i 1.19611 0.995980i
\(36\) 1.44417 + 1.38360i 0.240696 + 0.230601i
\(37\) 9.09435 4.63380i 1.49510 0.761792i 0.500517 0.865726i \(-0.333143\pi\)
0.994584 + 0.103934i \(0.0331431\pi\)
\(38\) 2.34611 + 2.68812i 0.380590 + 0.436070i
\(39\) −0.627740 1.93199i −0.100519 0.309365i
\(40\) −4.55901 4.38354i −0.720843 0.693099i
\(41\) −1.48215 + 4.56160i −0.231474 + 0.712402i 0.766096 + 0.642726i \(0.222197\pi\)
−0.997570 + 0.0696763i \(0.977803\pi\)
\(42\) −5.35636 + 2.28618i −0.826505 + 0.352765i
\(43\) 4.56222 + 4.56222i 0.695733 + 0.695733i 0.963487 0.267755i \(-0.0862817\pi\)
−0.267755 + 0.963487i \(0.586282\pi\)
\(44\) −5.82991 0.795794i −0.878892 0.119970i
\(45\) 2.05500 + 0.881472i 0.306341 + 0.131402i
\(46\) −1.15457 + 1.38152i −0.170233 + 0.203694i
\(47\) −0.753158 + 4.75525i −0.109859 + 0.693625i 0.869867 + 0.493286i \(0.164204\pi\)
−0.979727 + 0.200339i \(0.935796\pi\)
\(48\) 1.96690 + 3.48300i 0.283898 + 0.502728i
\(49\) 9.95861i 1.42266i
\(50\) −6.49345 2.79913i −0.918312 0.395857i
\(51\) 4.17756i 0.584976i
\(52\) −0.0870029 4.06189i −0.0120651 0.563283i
\(53\) 0.396929 2.50611i 0.0545224 0.344241i −0.945314 0.326161i \(-0.894245\pi\)
0.999837 0.0180797i \(-0.00575525\pi\)
\(54\) −1.08515 0.906891i −0.147670 0.123412i
\(55\) −6.41542 + 1.45561i −0.865055 + 0.196274i
\(56\) −11.5764 + 1.28635i −1.54697 + 0.171896i
\(57\) −1.78397 1.78397i −0.236293 0.236293i
\(58\) 3.87924 + 9.08881i 0.509369 + 1.19342i
\(59\) −1.41128 + 4.34348i −0.183733 + 0.565473i −0.999924 0.0123093i \(-0.996082\pi\)
0.816191 + 0.577782i \(0.196082\pi\)
\(60\) 3.42639 + 2.87400i 0.442344 + 0.371032i
\(61\) 3.01297 + 9.27297i 0.385771 + 1.18728i 0.935919 + 0.352215i \(0.114571\pi\)
−0.550148 + 0.835067i \(0.685429\pi\)
\(62\) 8.27714 7.22405i 1.05120 0.917456i
\(63\) 3.66924 1.86957i 0.462281 0.235544i
\(64\) 1.75620 + 7.80485i 0.219525 + 0.975607i
\(65\) −1.68568 4.21801i −0.209083 0.523180i
\(66\) 4.15103 + 0.282004i 0.510956 + 0.0347123i
\(67\) −14.9494 + 2.36776i −1.82636 + 0.289268i −0.972788 0.231699i \(-0.925572\pi\)
−0.853577 + 0.520966i \(0.825572\pi\)
\(68\) −2.41112 + 7.99966i −0.292391 + 0.970101i
\(69\) 0.748317 1.02997i 0.0900868 0.123994i
\(70\) −11.6138 + 5.89124i −1.38811 + 0.704138i
\(71\) 3.33031 + 4.58377i 0.395235 + 0.543994i 0.959540 0.281572i \(-0.0908559\pi\)
−0.564305 + 0.825566i \(0.690856\pi\)
\(72\) −1.55454 2.36292i −0.183205 0.278473i
\(73\) −7.97187 4.06187i −0.933037 0.475406i −0.0797309 0.996816i \(-0.525406\pi\)
−0.853306 + 0.521410i \(0.825406\pi\)
\(74\) −13.9989 + 3.51980i −1.62734 + 0.409168i
\(75\) 4.71516 + 1.66352i 0.544459 + 0.192086i
\(76\) −2.38651 4.44578i −0.273752 0.509966i
\(77\) −5.50025 + 10.7948i −0.626812 + 1.23019i
\(78\) 0.256055 + 2.86141i 0.0289926 + 0.323991i
\(79\) −7.70950 + 5.60128i −0.867387 + 0.630193i −0.929884 0.367852i \(-0.880093\pi\)
0.0624977 + 0.998045i \(0.480093\pi\)
\(80\) 4.90247 + 7.48103i 0.548113 + 0.836405i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 3.48201 5.82113i 0.384524 0.642836i
\(83\) −2.36463 14.9297i −0.259552 1.63874i −0.681281 0.732022i \(-0.738577\pi\)
0.421729 0.906722i \(-0.361423\pi\)
\(84\) 8.10531 1.46233i 0.884362 0.159553i
\(85\) 0.616405 + 9.32095i 0.0668585 + 1.01100i
\(86\) −4.85054 7.72837i −0.523047 0.833372i
\(87\) −3.17233 6.22606i −0.340110 0.667503i
\(88\) 7.78609 + 2.93582i 0.830000 + 0.312959i
\(89\) 3.68014 1.19575i 0.390095 0.126749i −0.107401 0.994216i \(-0.534253\pi\)
0.497496 + 0.867466i \(0.334253\pi\)
\(90\) −2.55499 1.86333i −0.269320 0.196413i
\(91\) −7.95608 2.58509i −0.834024 0.270991i
\(92\) 2.02742 1.54040i 0.211373 0.160598i
\(93\) −5.49313 + 5.49313i −0.569611 + 0.569611i
\(94\) 2.53810 6.31802i 0.261785 0.651654i
\(95\) −4.24361 3.71716i −0.435386 0.381373i
\(96\) −1.61303 5.42200i −0.164630 0.553381i
\(97\) −17.8238 2.82302i −1.80973 0.286634i −0.842162 0.539225i \(-0.818717\pi\)
−0.967573 + 0.252591i \(0.918717\pi\)
\(98\) −3.14092 + 13.7289i −0.317281 + 1.38683i
\(99\) −2.94198 −0.295681
\(100\) 8.06899 + 5.90689i 0.806899 + 0.590689i
\(101\) −1.75718 −0.174846 −0.0874230 0.996171i \(-0.527863\pi\)
−0.0874230 + 0.996171i \(0.527863\pi\)
\(102\) 1.31759 5.75916i 0.130461 0.570242i
\(103\) 6.32547 + 1.00186i 0.623267 + 0.0987158i 0.460077 0.887879i \(-0.347822\pi\)
0.163190 + 0.986595i \(0.447822\pi\)
\(104\) −1.16117 + 5.62714i −0.113862 + 0.551787i
\(105\) 7.91093 4.71278i 0.772027 0.459920i
\(106\) −1.33763 + 3.32972i −0.129922 + 0.323411i
\(107\) 8.34389 8.34389i 0.806634 0.806634i −0.177489 0.984123i \(-0.556797\pi\)
0.984123 + 0.177489i \(0.0567973\pi\)
\(108\) 1.20995 + 1.59249i 0.116428 + 0.153237i
\(109\) −10.2590 3.33335i −0.982635 0.319277i −0.226729 0.973958i \(-0.572803\pi\)
−0.755906 + 0.654680i \(0.772803\pi\)
\(110\) 9.30336 + 0.0167168i 0.887040 + 0.00159388i
\(111\) 9.70727 3.15408i 0.921373 0.299372i
\(112\) 16.3649 + 1.87783i 1.54634 + 0.177439i
\(113\) 5.40831 + 10.6144i 0.508771 + 0.998519i 0.992378 + 0.123233i \(0.0393264\pi\)
−0.483607 + 0.875285i \(0.660674\pi\)
\(114\) 1.89671 + 3.02203i 0.177643 + 0.283039i
\(115\) 1.51767 2.40848i 0.141523 0.224592i
\(116\) −2.48131 13.7533i −0.230384 1.27696i
\(117\) −0.317783 2.00640i −0.0293790 0.185492i
\(118\) 3.31551 5.54278i 0.305218 0.510255i
\(119\) 13.9180 + 10.1120i 1.27586 + 0.926965i
\(120\) −3.81714 5.04276i −0.348456 0.460339i
\(121\) −1.89692 + 1.37819i −0.172447 + 0.125290i
\(122\) −1.22899 13.7340i −0.111268 1.24341i
\(123\) −2.17750 + 4.27358i −0.196338 + 0.385336i
\(124\) −13.6893 + 7.34845i −1.22933 + 0.659910i
\(125\) 10.7659 + 3.01590i 0.962930 + 0.269751i
\(126\) −5.64805 + 1.42011i −0.503169 + 0.126513i
\(127\) 5.19941 + 2.64923i 0.461373 + 0.235081i 0.669197 0.743085i \(-0.266638\pi\)
−0.207824 + 0.978166i \(0.566638\pi\)
\(128\) 0.0405449 11.3136i 0.00358370 0.999994i
\(129\) 3.79237 + 5.21974i 0.333899 + 0.459573i
\(130\) 0.993515 + 6.34659i 0.0871370 + 0.556633i
\(131\) 7.90202 10.8762i 0.690403 0.950258i −0.309597 0.950868i \(-0.600194\pi\)
1.00000 0.000610176i \(0.000194225\pi\)
\(132\) −5.63364 1.69800i −0.490346 0.147791i
\(133\) −10.2617 + 1.62529i −0.889799 + 0.140930i
\(134\) 21.3560 + 1.45084i 1.84488 + 0.125334i
\(135\) 1.89180 + 1.19209i 0.162820 + 0.102599i
\(136\) 5.84703 10.2678i 0.501379 0.880459i
\(137\) −10.7331 + 5.46880i −0.916994 + 0.467232i −0.847767 0.530369i \(-0.822053\pi\)
−0.0692269 + 0.997601i \(0.522053\pi\)
\(138\) −1.35648 + 1.18389i −0.115471 + 0.100780i
\(139\) −2.59947 8.00036i −0.220485 0.678582i −0.998719 0.0506073i \(-0.983884\pi\)
0.778234 0.627974i \(-0.216116\pi\)
\(140\) 17.8688 4.45868i 1.51019 0.376827i
\(141\) −1.48777 + 4.57889i −0.125293 + 0.385612i
\(142\) −3.14543 7.36954i −0.263959 0.618438i
\(143\) 4.22594 + 4.22594i 0.353391 + 0.353391i
\(144\) 1.39783 + 3.74781i 0.116486 + 0.312317i
\(145\) −7.99676 13.4235i −0.664095 1.11476i
\(146\) 9.70888 + 8.11399i 0.803512 + 0.671518i
\(147\) 1.55787 9.83600i 0.128491 0.811260i
\(148\) 20.4090 0.437146i 1.67761 0.0359332i
\(149\) 5.29270i 0.433595i −0.976217 0.216797i \(-0.930439\pi\)
0.976217 0.216797i \(-0.0695611\pi\)
\(150\) −5.97562 3.78047i −0.487908 0.308674i
\(151\) 2.46259i 0.200403i 0.994967 + 0.100202i \(0.0319488\pi\)
−0.994967 + 0.100202i \(0.968051\pi\)
\(152\) 1.88784 + 6.88164i 0.153124 + 0.558174i
\(153\) −0.653515 + 4.12613i −0.0528335 + 0.333578i
\(154\) 10.9873 13.1470i 0.885381 1.05941i
\(155\) −11.4457 + 13.0668i −0.919343 + 1.04955i
\(156\) 0.549488 4.02549i 0.0439942 0.322297i
\(157\) 10.9985 + 10.9985i 0.877778 + 0.877778i 0.993304 0.115527i \(-0.0368556\pi\)
−0.115527 + 0.993304i \(0.536856\pi\)
\(158\) 12.3949 5.29034i 0.986086 0.420877i
\(159\) 0.784084 2.41316i 0.0621819 0.191376i
\(160\) −4.39902 11.8595i −0.347773 0.937579i
\(161\) −1.62011 4.98619i −0.127683 0.392967i
\(162\) −0.929921 1.06548i −0.0730615 0.0837120i
\(163\) −3.25666 + 1.65935i −0.255082 + 0.129971i −0.576856 0.816846i \(-0.695721\pi\)
0.321775 + 0.946816i \(0.395721\pi\)
\(164\) −6.63625 + 6.92676i −0.518204 + 0.540889i
\(165\) −6.56414 + 0.434094i −0.511018 + 0.0337942i
\(166\) −1.44892 + 21.3278i −0.112458 + 1.65536i
\(167\) −13.9909 + 2.21594i −1.08265 + 0.171475i −0.672171 0.740396i \(-0.734638\pi\)
−0.410478 + 0.911871i \(0.634638\pi\)
\(168\) −11.6352 0.540443i −0.897672 0.0416961i
\(169\) 5.21564 7.17871i 0.401203 0.552208i
\(170\) 2.09004 13.0442i 0.160298 1.00045i
\(171\) −1.48293 2.04108i −0.113403 0.156085i
\(172\) 4.24942 + 12.1841i 0.324015 + 0.929033i
\(173\) −21.7320 11.0730i −1.65226 0.841866i −0.996194 0.0871591i \(-0.972221\pi\)
−0.656062 0.754707i \(-0.727779\pi\)
\(174\) 2.40968 + 9.58376i 0.182677 + 0.726543i
\(175\) 16.9554 11.6824i 1.28171 0.883106i
\(176\) −9.80791 6.50302i −0.739299 0.490184i
\(177\) −2.07338 + 4.06923i −0.155845 + 0.305862i
\(178\) −5.45057 + 0.487747i −0.408537 + 0.0365582i
\(179\) 9.28423 6.74539i 0.693936 0.504174i −0.184016 0.982923i \(-0.558910\pi\)
0.877952 + 0.478750i \(0.158910\pi\)
\(180\) 2.93461 + 3.37462i 0.218733 + 0.251530i
\(181\) 9.77894 + 7.10482i 0.726863 + 0.528097i 0.888570 0.458742i \(-0.151700\pi\)
−0.161706 + 0.986839i \(0.551700\pi\)
\(182\) 10.1529 + 6.07312i 0.752582 + 0.450170i
\(183\) 1.52526 + 9.63014i 0.112751 + 0.711880i
\(184\) −3.28083 + 1.48415i −0.241866 + 0.109413i
\(185\) 21.1934 8.46969i 1.55817 0.622704i
\(186\) 9.30533 5.84028i 0.682300 0.428230i
\(187\) −5.57969 10.9508i −0.408027 0.800799i
\(188\) −5.49170 + 7.90948i −0.400523 + 0.576858i
\(189\) 3.91653 1.27256i 0.284886 0.0925649i
\(190\) 4.67784 + 6.46288i 0.339366 + 0.468867i
\(191\) −1.72388 0.560124i −0.124736 0.0405291i 0.245984 0.969274i \(-0.420889\pi\)
−0.370720 + 0.928745i \(0.620889\pi\)
\(192\) 0.513631 + 7.98349i 0.0370681 + 0.576159i
\(193\) 11.3881 11.3881i 0.819731 0.819731i −0.166338 0.986069i \(-0.553194\pi\)
0.986069 + 0.166338i \(0.0531941\pi\)
\(194\) 23.6815 + 9.51339i 1.70023 + 0.683022i
\(195\) −1.00508 4.42978i −0.0719754 0.317223i
\(196\) 8.66013 17.9359i 0.618580 1.28114i
\(197\) 4.46632 + 0.707396i 0.318212 + 0.0503999i 0.313498 0.949589i \(-0.398499\pi\)
0.00471472 + 0.999989i \(0.498499\pi\)
\(198\) 4.05581 + 0.927896i 0.288234 + 0.0659427i
\(199\) −0.389180 −0.0275883 −0.0137941 0.999905i \(-0.504391\pi\)
−0.0137941 + 0.999905i \(0.504391\pi\)
\(200\) −9.26085 10.6882i −0.654841 0.755766i
\(201\) −15.1358 −1.06760
\(202\) 2.42244 + 0.554211i 0.170442 + 0.0389942i
\(203\) −28.4215 4.50153i −1.99480 0.315945i
\(204\) −3.63286 + 7.52399i −0.254351 + 0.526785i
\(205\) −4.22785 + 9.85648i −0.295286 + 0.688406i
\(206\) −8.40428 3.37619i −0.585554 0.235231i
\(207\) 0.900227 0.900227i 0.0625701 0.0625701i
\(208\) 3.37557 7.39132i 0.234054 0.512496i
\(209\) 7.05910 + 2.29364i 0.488288 + 0.158655i
\(210\) −12.3924 + 4.00192i −0.855154 + 0.276159i
\(211\) −10.6305 + 3.45406i −0.731833 + 0.237787i −0.651146 0.758952i \(-0.725712\pi\)
−0.0806873 + 0.996739i \(0.525712\pi\)
\(212\) 2.89423 4.16845i 0.198777 0.286291i
\(213\) 2.57224 + 5.04831i 0.176247 + 0.345905i
\(214\) −14.1345 + 8.87120i −0.966214 + 0.606423i
\(215\) 9.23169 + 11.0867i 0.629596 + 0.756106i
\(216\) −1.16576 2.57701i −0.0793202 0.175344i
\(217\) 5.00452 + 31.5973i 0.339729 + 2.14497i
\(218\) 13.0917 + 7.83102i 0.886681 + 0.530383i
\(219\) −7.23831 5.25894i −0.489120 0.355366i
\(220\) −12.8203 2.95731i −0.864344 0.199382i
\(221\) 6.86560 4.98815i 0.461830 0.335539i
\(222\) −14.3772 + 1.28655i −0.964933 + 0.0863476i
\(223\) 0.846437 1.66123i 0.0566816 0.111244i −0.860928 0.508727i \(-0.830116\pi\)
0.917610 + 0.397483i \(0.130116\pi\)
\(224\) −21.9684 7.75024i −1.46782 0.517835i
\(225\) 4.39687 + 2.38065i 0.293125 + 0.158710i
\(226\) −4.10810 16.3387i −0.273267 1.08684i
\(227\) 5.62529 + 2.86623i 0.373364 + 0.190238i 0.630596 0.776111i \(-0.282811\pi\)
−0.257232 + 0.966350i \(0.582811\pi\)
\(228\) −1.66166 4.76438i −0.110046 0.315529i
\(229\) −3.59408 4.94683i −0.237503 0.326895i 0.673582 0.739112i \(-0.264755\pi\)
−0.911086 + 0.412217i \(0.864755\pi\)
\(230\) −2.85188 + 2.84165i −0.188047 + 0.187373i
\(231\) −7.12122 + 9.80151i −0.468542 + 0.644892i
\(232\) −0.917037 + 19.7428i −0.0602064 + 1.29618i
\(233\) −3.82896 + 0.606447i −0.250843 + 0.0397297i −0.280590 0.959828i \(-0.590530\pi\)
0.0297465 + 0.999557i \(0.490530\pi\)
\(234\) −0.194721 + 2.86624i −0.0127293 + 0.187372i
\(235\) −2.64388 + 10.4359i −0.172468 + 0.680764i
\(236\) −6.31893 + 6.59555i −0.411327 + 0.429334i
\(237\) −8.49082 + 4.32629i −0.551538 + 0.281023i
\(238\) −15.9979 18.3300i −1.03699 1.18816i
\(239\) 6.49825 + 19.9996i 0.420337 + 1.29366i 0.907389 + 0.420291i \(0.138072\pi\)
−0.487052 + 0.873373i \(0.661928\pi\)
\(240\) 3.67182 + 8.15584i 0.237015 + 0.526457i
\(241\) −5.27854 + 16.2457i −0.340021 + 1.04648i 0.624175 + 0.781285i \(0.285435\pi\)
−0.964196 + 0.265192i \(0.914565\pi\)
\(242\) 3.04977 1.30169i 0.196046 0.0836756i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −2.63738 + 19.3212i −0.168841 + 1.23691i
\(245\) 2.02459 22.1759i 0.129347 1.41677i
\(246\) 4.34977 5.20476i 0.277331 0.331843i
\(247\) −0.801739 + 5.06198i −0.0510134 + 0.322086i
\(248\) 21.1897 5.81296i 1.34554 0.369124i
\(249\) 15.1158i 0.957923i
\(250\) −13.8906 7.55325i −0.878518 0.477709i
\(251\) 7.43789i 0.469475i −0.972059 0.234738i \(-0.924577\pi\)
0.972059 0.234738i \(-0.0754231\pi\)
\(252\) 8.23428 0.176373i 0.518711 0.0111104i
\(253\) −0.585922 + 3.69937i −0.0368366 + 0.232577i
\(254\) −6.33232 5.29210i −0.397325 0.332056i
\(255\) −0.849302 + 9.30262i −0.0531854 + 0.582553i
\(256\) −3.62419 + 15.5841i −0.226512 + 0.974008i
\(257\) −15.5114 15.5114i −0.967577 0.967577i 0.0319134 0.999491i \(-0.489840\pi\)
−0.999491 + 0.0319134i \(0.989840\pi\)
\(258\) −3.58184 8.39202i −0.222996 0.522464i
\(259\) 12.9888 39.9753i 0.807083 2.48395i
\(260\) 0.632048 9.06273i 0.0391979 0.562047i
\(261\) −2.15931 6.64567i −0.133658 0.411356i
\(262\) −14.3240 + 12.5016i −0.884940 + 0.772351i
\(263\) 3.45964 1.76277i 0.213330 0.108697i −0.344061 0.938947i \(-0.611803\pi\)
0.557391 + 0.830250i \(0.311803\pi\)
\(264\) 7.23097 + 4.11769i 0.445035 + 0.253426i
\(265\) 1.39338 5.49993i 0.0855946 0.337858i
\(266\) 14.6593 + 0.995894i 0.898819 + 0.0610622i
\(267\) 3.82189 0.605328i 0.233896 0.0370455i
\(268\) −28.9837 8.73577i −1.77046 0.533622i
\(269\) −12.4449 + 17.1289i −0.758778 + 1.04437i 0.238537 + 0.971133i \(0.423332\pi\)
−0.997315 + 0.0732344i \(0.976668\pi\)
\(270\) −2.23205 2.24008i −0.135838 0.136327i
\(271\) 9.84582 + 13.5516i 0.598091 + 0.823202i 0.995532 0.0944262i \(-0.0301016\pi\)
−0.397441 + 0.917628i \(0.630102\pi\)
\(272\) −11.2991 + 12.3110i −0.685111 + 0.746466i
\(273\) −7.45373 3.79787i −0.451120 0.229857i
\(274\) 16.5215 4.15406i 0.998100 0.250956i
\(275\) −14.5818 + 1.93710i −0.879317 + 0.116811i
\(276\) 2.24343 1.20428i 0.135039 0.0724892i
\(277\) 4.43885 8.71174i 0.266705 0.523438i −0.718349 0.695683i \(-0.755102\pi\)
0.985054 + 0.172245i \(0.0551021\pi\)
\(278\) 1.06033 + 11.8491i 0.0635941 + 0.710663i
\(279\) −6.28482 + 4.56619i −0.376262 + 0.273370i
\(280\) −26.0400 + 0.510950i −1.55619 + 0.0305351i
\(281\) 21.0726 + 15.3101i 1.25708 + 0.913325i 0.998611 0.0526937i \(-0.0167807\pi\)
0.258473 + 0.966018i \(0.416781\pi\)
\(282\) 3.49520 5.84319i 0.208136 0.347957i
\(283\) 2.50556 + 15.8195i 0.148940 + 0.940369i 0.943063 + 0.332613i \(0.107930\pi\)
−0.794124 + 0.607756i \(0.792070\pi\)
\(284\) 2.01194 + 11.1517i 0.119387 + 0.661730i
\(285\) −3.60988 4.33524i −0.213831 0.256798i
\(286\) −4.49301 7.15871i −0.265677 0.423303i
\(287\) 8.96712 + 17.5990i 0.529312 + 1.03883i
\(288\) −0.744986 5.60758i −0.0438987 0.330430i
\(289\) −0.429893 + 0.139681i −0.0252878 + 0.00821651i
\(290\) 6.79056 + 21.0277i 0.398755 + 1.23479i
\(291\) −17.1628 5.57652i −1.00610 0.326901i
\(292\) −10.8255 14.2481i −0.633513 0.833805i
\(293\) 14.9114 14.9114i 0.871133 0.871133i −0.121463 0.992596i \(-0.538759\pi\)
0.992596 + 0.121463i \(0.0387587\pi\)
\(294\) −5.24993 + 13.0685i −0.306182 + 0.762171i
\(295\) −4.02569 + 9.38518i −0.234385 + 0.546426i
\(296\) −28.2736 5.83430i −1.64337 0.339112i
\(297\) −2.90576 0.460228i −0.168610 0.0267051i
\(298\) −1.66931 + 7.29649i −0.0967003 + 0.422674i
\(299\) −2.58622 −0.149565
\(300\) 7.04561 + 7.09643i 0.406779 + 0.409713i
\(301\) 26.5697 1.53145
\(302\) 0.776697 3.39492i 0.0446939 0.195356i
\(303\) −1.73555 0.274884i −0.0997046 0.0157917i
\(304\) −0.432115 10.0824i −0.0247835 0.578266i
\(305\) 4.82410 + 21.2617i 0.276227 + 1.21744i
\(306\) 2.20230 5.48214i 0.125897 0.313393i
\(307\) 7.01043 7.01043i 0.400106 0.400106i −0.478164 0.878270i \(-0.658698\pi\)
0.878270 + 0.478164i \(0.158698\pi\)
\(308\) −19.2935 + 14.6590i −1.09935 + 0.835272i
\(309\) 6.09087 + 1.97904i 0.346497 + 0.112584i
\(310\) 19.9003 14.4038i 1.13026 0.818082i
\(311\) 28.3183 9.20117i 1.60578 0.521751i 0.637255 0.770653i \(-0.280070\pi\)
0.968529 + 0.248902i \(0.0800698\pi\)
\(312\) −2.02715 + 5.37622i −0.114765 + 0.304368i
\(313\) −6.28630 12.3376i −0.355323 0.697360i 0.642287 0.766465i \(-0.277986\pi\)
−0.997609 + 0.0691042i \(0.977986\pi\)
\(314\) −11.6936 18.6314i −0.659908 1.05143i
\(315\) 8.55077 3.41721i 0.481781 0.192538i
\(316\) −18.7561 + 3.38390i −1.05511 + 0.190359i
\(317\) −4.59264 28.9968i −0.257949 1.62862i −0.687924 0.725783i \(-0.741478\pi\)
0.429975 0.902841i \(-0.358522\pi\)
\(318\) −1.84204 + 3.07948i −0.103297 + 0.172688i
\(319\) 16.6315 + 12.0835i 0.931183 + 0.676544i
\(320\) 2.32399 + 17.7369i 0.129915 + 0.991525i
\(321\) 9.54643 6.93589i 0.532830 0.387124i
\(322\) 0.660843 + 7.38491i 0.0368273 + 0.411545i
\(323\) 4.78490 9.39089i 0.266239 0.522523i
\(324\) 0.945934 + 1.76216i 0.0525519 + 0.0978978i
\(325\) −2.89615 9.73540i −0.160650 0.540023i
\(326\) 5.01298 1.26043i 0.277643 0.0698088i
\(327\) −9.61125 4.89718i −0.531504 0.270815i
\(328\) 11.3334 7.45614i 0.625782 0.411697i
\(329\) 11.6538 + 16.0401i 0.642495 + 0.884318i
\(330\) 9.18620 + 1.47188i 0.505684 + 0.0810242i
\(331\) 4.96767 6.83741i 0.273048 0.375818i −0.650368 0.759619i \(-0.725385\pi\)
0.923416 + 0.383801i \(0.125385\pi\)
\(332\) 8.72421 28.9454i 0.478803 1.58858i
\(333\) 10.0812 1.59670i 0.552444 0.0874986i
\(334\) 19.9867 + 1.35782i 1.09362 + 0.0742964i
\(335\) −33.7709 + 2.23331i −1.84510 + 0.122019i
\(336\) 15.8697 + 4.41476i 0.865764 + 0.240845i
\(337\) 27.5810 14.0532i 1.50243 0.765527i 0.507085 0.861896i \(-0.330723\pi\)
0.995346 + 0.0963694i \(0.0307230\pi\)
\(338\) −9.45440 + 8.25153i −0.514252 + 0.448824i
\(339\) 3.68126 + 11.3298i 0.199939 + 0.615348i
\(340\) −6.99544 + 17.3235i −0.379381 + 0.939500i
\(341\) 7.06249 21.7361i 0.382455 1.17708i
\(342\) 1.40061 + 3.28154i 0.0757364 + 0.177445i
\(343\) −8.61524 8.61524i −0.465179 0.465179i
\(344\) −2.01537 18.1373i −0.108662 0.977896i
\(345\) 1.87575 2.14141i 0.100987 0.115290i
\(346\) 26.4673 + 22.1195i 1.42289 + 1.18915i
\(347\) −4.63833 + 29.2853i −0.248999 + 1.57212i 0.473532 + 0.880777i \(0.342979\pi\)
−0.722530 + 0.691339i \(0.757021\pi\)
\(348\) −0.299273 13.9721i −0.0160427 0.748985i
\(349\) 20.0990i 1.07587i −0.842985 0.537937i \(-0.819204\pi\)
0.842985 0.537937i \(-0.180796\pi\)
\(350\) −27.0593 + 10.7576i −1.44638 + 0.575016i
\(351\) 2.03141i 0.108429i
\(352\) 11.4701 + 12.0584i 0.611358 + 0.642716i
\(353\) −2.20264 + 13.9069i −0.117235 + 0.740190i 0.857111 + 0.515132i \(0.172257\pi\)
−0.974345 + 0.225058i \(0.927743\pi\)
\(354\) 4.14177 4.95588i 0.220133 0.263402i
\(355\) 6.48406 + 10.8842i 0.344138 + 0.577675i
\(356\) 7.66796 + 1.04669i 0.406401 + 0.0554746i
\(357\) 12.1647 + 12.1647i 0.643826 + 0.643826i
\(358\) −14.9267 + 6.37093i −0.788899 + 0.336714i
\(359\) 5.68610 17.5000i 0.300101 0.923616i −0.681359 0.731949i \(-0.738611\pi\)
0.981460 0.191667i \(-0.0613893\pi\)
\(360\) −2.98129 5.57781i −0.157128 0.293976i
\(361\) −3.90440 12.0165i −0.205495 0.632447i
\(362\) −11.2404 12.8789i −0.590780 0.676901i
\(363\) −2.08916 + 1.06448i −0.109653 + 0.0558708i
\(364\) −12.0813 11.5746i −0.633230 0.606672i
\(365\) −16.9260 10.6657i −0.885949 0.558268i
\(366\) 0.934604 13.7571i 0.0488526 0.719096i
\(367\) −0.168050 + 0.0266165i −0.00877212 + 0.00138937i −0.160819 0.986984i \(-0.551414\pi\)
0.152047 + 0.988373i \(0.451414\pi\)
\(368\) 4.99103 1.01127i 0.260176 0.0527163i
\(369\) −2.81922 + 3.88033i −0.146763 + 0.202002i
\(370\) −31.8885 + 4.99192i −1.65780 + 0.259517i
\(371\) −6.14178 8.45344i −0.318865 0.438880i
\(372\) −14.6703 + 5.11650i −0.760619 + 0.265278i
\(373\) 0.278937 + 0.142126i 0.0144428 + 0.00735898i 0.461197 0.887298i \(-0.347420\pi\)
−0.446754 + 0.894657i \(0.647420\pi\)
\(374\) 4.23829 + 16.8565i 0.219157 + 0.871628i
\(375\) 10.1615 + 4.66293i 0.524740 + 0.240793i
\(376\) 10.0655 9.17190i 0.519087 0.473005i
\(377\) −6.44431 + 12.6477i −0.331899 + 0.651389i
\(378\) −5.80067 + 0.519076i −0.298354 + 0.0266984i
\(379\) 5.42966 3.94488i 0.278903 0.202635i −0.439536 0.898225i \(-0.644857\pi\)
0.718439 + 0.695590i \(0.244857\pi\)
\(380\) −4.41047 10.3851i −0.226252 0.532743i
\(381\) 4.72097 + 3.42998i 0.241863 + 0.175723i
\(382\) 2.19987 + 1.31589i 0.112555 + 0.0673269i
\(383\) −4.11650 25.9905i −0.210343 1.32805i −0.836333 0.548222i \(-0.815305\pi\)
0.625989 0.779832i \(-0.284695\pi\)
\(384\) 1.80989 11.1680i 0.0923605 0.569915i
\(385\) −14.4426 + 22.9198i −0.736063 + 1.16810i
\(386\) −19.2913 + 12.1078i −0.981902 + 0.616269i
\(387\) 2.92913 + 5.74874i 0.148896 + 0.292225i
\(388\) −29.6466 20.5842i −1.50508 1.04500i
\(389\) 3.28723 1.06809i 0.166669 0.0541541i −0.224494 0.974476i \(-0.572073\pi\)
0.391163 + 0.920321i \(0.372073\pi\)
\(390\) −0.0115428 + 6.42387i −0.000584490 + 0.325286i
\(391\) 5.05820 + 1.64351i 0.255804 + 0.0831159i
\(392\) −17.5958 + 21.9950i −0.888720 + 1.11092i
\(393\) 9.50614 9.50614i 0.479522 0.479522i
\(394\) −5.93414 2.38388i −0.298958 0.120098i
\(395\) −18.3063 + 10.9056i −0.921091 + 0.548721i
\(396\) −5.29866 2.55839i −0.266268 0.128564i
\(397\) −7.27135 1.15167i −0.364938 0.0578006i −0.0287275 0.999587i \(-0.509146\pi\)
−0.336211 + 0.941787i \(0.609146\pi\)
\(398\) 0.536522 + 0.122747i 0.0268934 + 0.00615273i
\(399\) −10.3896 −0.520130
\(400\) 9.39595 + 17.6555i 0.469797 + 0.882774i
\(401\) 5.47950 0.273633 0.136817 0.990596i \(-0.456313\pi\)
0.136817 + 0.990596i \(0.456313\pi\)
\(402\) 20.8661 + 4.77380i 1.04071 + 0.238095i
\(403\) 15.5866 + 2.46868i 0.776426 + 0.122974i
\(404\) −3.16477 1.52807i −0.157453 0.0760241i
\(405\) 1.68203 + 1.47336i 0.0835806 + 0.0732118i
\(406\) 37.7620 + 15.1699i 1.87410 + 0.752868i
\(407\) −21.2332 + 21.2332i −1.05249 + 1.05249i
\(408\) 7.38129 9.22674i 0.365428 0.456792i
\(409\) 2.38942 + 0.776370i 0.118149 + 0.0383890i 0.367495 0.930026i \(-0.380216\pi\)
−0.249346 + 0.968415i \(0.580216\pi\)
\(410\) 8.93720 12.2546i 0.441377 0.605214i
\(411\) −11.4565 + 3.72244i −0.565108 + 0.183615i
\(412\) 10.5212 + 7.30510i 0.518345 + 0.359896i
\(413\) 8.53834 + 16.7574i 0.420144 + 0.824579i
\(414\) −1.52498 + 0.957119i −0.0749486 + 0.0470398i
\(415\) −2.23035 33.7262i −0.109484 1.65556i
\(416\) −6.98475 + 9.12499i −0.342456 + 0.447389i
\(417\) −1.31594 8.30851i −0.0644418 0.406869i
\(418\) −9.00824 5.38843i −0.440607 0.263557i
\(419\) −1.06381 0.772904i −0.0519706 0.0377589i 0.561497 0.827479i \(-0.310226\pi\)
−0.613467 + 0.789720i \(0.710226\pi\)
\(420\) 18.3463 1.60850i 0.895205 0.0784868i
\(421\) −25.4702 + 18.5052i −1.24134 + 0.901887i −0.997687 0.0679755i \(-0.978346\pi\)
−0.243654 + 0.969862i \(0.578346\pi\)
\(422\) 15.7445 1.40891i 0.766433 0.0685846i
\(423\) −2.18575 + 4.28978i −0.106275 + 0.208576i
\(424\) −5.30470 + 4.83377i −0.257619 + 0.234749i
\(425\) −0.522344 + 20.8813i −0.0253374 + 1.01289i
\(426\) −1.95386 7.77086i −0.0946646 0.376500i
\(427\) 35.7757 + 18.2286i 1.73131 + 0.882146i
\(428\) 22.2837 7.77180i 1.07712 0.375664i
\(429\) 3.51283 + 4.83499i 0.169601 + 0.233436i
\(430\) −9.23003 18.1957i −0.445112 0.877475i
\(431\) 20.7812 28.6029i 1.00100 1.37775i 0.0762831 0.997086i \(-0.475695\pi\)
0.924713 0.380666i \(-0.124305\pi\)
\(432\) 0.794331 + 3.92034i 0.0382173 + 0.188617i
\(433\) 22.9677 3.63773i 1.10376 0.174818i 0.422144 0.906529i \(-0.361278\pi\)
0.681615 + 0.731711i \(0.261278\pi\)
\(434\) 3.06652 45.1383i 0.147198 2.16671i
\(435\) −5.79841 14.5092i −0.278013 0.695661i
\(436\) −15.5782 14.9249i −0.746063 0.714773i
\(437\) −2.86188 + 1.45820i −0.136902 + 0.0697551i
\(438\) 8.32004 + 9.53289i 0.397547 + 0.455499i
\(439\) 9.85832 + 30.3408i 0.470512 + 1.44809i 0.851916 + 0.523679i \(0.175441\pi\)
−0.381404 + 0.924409i \(0.624559\pi\)
\(440\) 16.7413 + 8.12042i 0.798108 + 0.387126i
\(441\) 3.07738 9.47120i 0.146542 0.451009i
\(442\) −11.0381 + 4.71124i −0.525030 + 0.224091i
\(443\) −8.31661 8.31661i −0.395134 0.395134i 0.481379 0.876513i \(-0.340136\pi\)
−0.876513 + 0.481379i \(0.840136\pi\)
\(444\) 20.2261 + 2.76090i 0.959888 + 0.131027i
\(445\) 8.43807 1.91453i 0.400003 0.0907574i
\(446\) −1.69084 + 2.02319i −0.0800637 + 0.0958010i
\(447\) 0.827960 5.22753i 0.0391612 0.247254i
\(448\) 27.8411 + 17.6132i 1.31537 + 0.832147i
\(449\) 0.214086i 0.0101034i −0.999987 0.00505168i \(-0.998392\pi\)
0.999987 0.00505168i \(-0.00160801\pi\)
\(450\) −5.31066 4.66872i −0.250347 0.220085i
\(451\) 14.1108i 0.664451i
\(452\) 0.510212 + 23.8202i 0.0239983 + 1.12041i
\(453\) −0.385235 + 2.43228i −0.0180999 + 0.114278i
\(454\) −6.85100 5.72557i −0.321533 0.268715i
\(455\) −17.1911 7.37397i −0.805931 0.345697i
\(456\) 0.788074 + 7.09223i 0.0369049 + 0.332124i
\(457\) −4.54935 4.54935i −0.212810 0.212810i 0.592650 0.805460i \(-0.298082\pi\)
−0.805460 + 0.592650i \(0.798082\pi\)
\(458\) 3.39456 + 7.95324i 0.158617 + 0.371630i
\(459\) −1.29094 + 3.97310i −0.0602558 + 0.185448i
\(460\) 4.82784 3.01801i 0.225099 0.140715i
\(461\) 9.39860 + 28.9259i 0.437737 + 1.34721i 0.890256 + 0.455460i \(0.150525\pi\)
−0.452520 + 0.891754i \(0.649475\pi\)
\(462\) 12.9087 11.2663i 0.600565 0.524156i
\(463\) 14.7207 7.50059i 0.684131 0.348582i −0.0771362 0.997021i \(-0.524578\pi\)
0.761267 + 0.648438i \(0.224578\pi\)
\(464\) 7.49107 26.9281i 0.347764 1.25011i
\(465\) −13.3489 + 11.1154i −0.619041 + 0.515464i
\(466\) 5.46985 + 0.371600i 0.253386 + 0.0172140i
\(467\) 23.1722 3.67012i 1.07228 0.169833i 0.404760 0.914423i \(-0.367355\pi\)
0.667522 + 0.744590i \(0.267355\pi\)
\(468\) 1.17245 3.88997i 0.0541964 0.179814i
\(469\) −36.6369 + 50.4264i −1.69174 + 2.32847i
\(470\) 6.93631 13.5530i 0.319948 0.625154i
\(471\) 9.14256 + 12.5837i 0.421267 + 0.579824i
\(472\) 10.7915 7.09961i 0.496718 0.326786i
\(473\) −16.9127 8.61745i −0.777647 0.396231i
\(474\) 13.0699 3.28621i 0.600321 0.150941i
\(475\) −8.69401 9.14013i −0.398908 0.419378i
\(476\) 16.2734 + 30.3154i 0.745890 + 1.38950i
\(477\) 1.15193 2.26080i 0.0527434 0.103515i
\(478\) −2.65064 29.6208i −0.121237 1.35483i
\(479\) 13.8011 10.0271i 0.630587 0.458148i −0.226016 0.974124i \(-0.572570\pi\)
0.856604 + 0.515975i \(0.172570\pi\)
\(480\) −2.48962 12.4017i −0.113635 0.566057i
\(481\) −16.7744 12.1873i −0.764845 0.555693i
\(482\) 12.4008 20.7314i 0.564842 0.944288i
\(483\) −0.820153 5.17824i −0.0373182 0.235618i
\(484\) −4.61494 + 0.832609i −0.209770 + 0.0378458i
\(485\) −39.1163 9.90991i −1.77618 0.449986i
\(486\) −0.751794 1.19783i −0.0341021 0.0543348i
\(487\) 5.36443 + 10.5283i 0.243086 + 0.477082i 0.980024 0.198877i \(-0.0637295\pi\)
−0.736939 + 0.675959i \(0.763729\pi\)
\(488\) 9.72974 25.8043i 0.440445 1.16810i
\(489\) −3.47615 + 1.12947i −0.157197 + 0.0510764i
\(490\) −9.78533 + 29.9330i −0.442056 + 1.35224i
\(491\) −6.63918 2.15720i −0.299622 0.0973530i 0.155348 0.987860i \(-0.450350\pi\)
−0.454970 + 0.890507i \(0.650350\pi\)
\(492\) −7.63814 + 5.80335i −0.344354 + 0.261635i
\(493\) 20.6414 20.6414i 0.929644 0.929644i
\(494\) 2.70181 6.72556i 0.121560 0.302597i
\(495\) −6.55123 0.598108i −0.294456 0.0268830i
\(496\) −31.0453 + 1.33055i −1.39398 + 0.0597435i
\(497\) 23.0452 + 3.65000i 1.03372 + 0.163725i
\(498\) −4.76748 + 20.8385i −0.213636 + 0.933797i
\(499\) −37.1988 −1.66525 −0.832624 0.553839i \(-0.813162\pi\)
−0.832624 + 0.553839i \(0.813162\pi\)
\(500\) 16.7672 + 14.7939i 0.749853 + 0.661605i
\(501\) −14.1653 −0.632859
\(502\) −2.34589 + 10.2538i −0.104702 + 0.457651i
\(503\) 2.11162 + 0.334448i 0.0941526 + 0.0149123i 0.203333 0.979110i \(-0.434823\pi\)
−0.109180 + 0.994022i \(0.534823\pi\)
\(504\) −11.4074 2.35393i −0.508124 0.104852i
\(505\) −3.91290 0.357237i −0.174122 0.0158968i
\(506\) 1.97452 4.91513i 0.0877782 0.218504i
\(507\) 6.27442 6.27442i 0.278657 0.278657i
\(508\) 7.06059 + 9.29287i 0.313263 + 0.412304i
\(509\) −10.9355 3.55317i −0.484709 0.157491i 0.0564609 0.998405i \(-0.482018\pi\)
−0.541170 + 0.840913i \(0.682018\pi\)
\(510\) 4.10487 12.5567i 0.181767 0.556019i
\(511\) −35.0414 + 11.3856i −1.55014 + 0.503670i
\(512\) 9.91150 20.3411i 0.438030 0.898960i
\(513\) −1.14538 2.24793i −0.0505698 0.0992488i
\(514\) 16.4917 + 26.2763i 0.727419 + 1.15900i
\(515\) 13.8819 + 3.51691i 0.611710 + 0.154974i
\(516\) 2.29108 + 12.6989i 0.100859 + 0.559038i
\(517\) −2.21578 13.9899i −0.0974499 0.615274i
\(518\) −30.5144 + 51.0132i −1.34073 + 2.24139i
\(519\) −19.7323 14.3363i −0.866151 0.629295i
\(520\) −3.72970 + 12.2945i −0.163558 + 0.539149i
\(521\) −19.5545 + 14.2072i −0.856698 + 0.622428i −0.926985 0.375099i \(-0.877609\pi\)
0.0702864 + 0.997527i \(0.477609\pi\)
\(522\) 0.880781 + 9.84272i 0.0385508 + 0.430804i
\(523\) −0.167730 + 0.329188i −0.00733431 + 0.0143944i −0.894645 0.446778i \(-0.852571\pi\)
0.887310 + 0.461173i \(0.152571\pi\)
\(524\) 23.6900 12.7169i 1.03490 0.555539i
\(525\) 18.5742 8.88614i 0.810645 0.387823i
\(526\) −5.32541 + 1.33899i −0.232199 + 0.0583826i
\(527\) −28.9160 14.7335i −1.25960 0.641799i
\(528\) −8.66986 7.95725i −0.377307 0.346295i
\(529\) 12.5664 + 17.2961i 0.546364 + 0.752005i
\(530\) −3.65557 + 7.14271i −0.158788 + 0.310259i
\(531\) −2.68442 + 3.69478i −0.116494 + 0.160340i
\(532\) −19.8951 5.99645i −0.862563 0.259979i
\(533\) 9.62340 1.52420i 0.416836 0.0660203i
\(534\) −5.45976 0.370914i −0.236267 0.0160510i
\(535\) 20.2765 16.8839i 0.876632 0.729955i
\(536\) 37.2015 + 21.1845i 1.60686 + 0.915030i
\(537\) 10.2251 5.20997i 0.441247 0.224827i
\(538\) 22.5589 19.6887i 0.972582 0.848842i
\(539\) 9.05360 + 27.8641i 0.389966 + 1.20019i
\(540\) 2.37057 + 3.79215i 0.102013 + 0.163188i
\(541\) 9.02234 27.7679i 0.387901 1.19384i −0.546453 0.837490i \(-0.684022\pi\)
0.934354 0.356346i \(-0.115978\pi\)
\(542\) −9.29925 21.7875i −0.399437 0.935855i
\(543\) 8.54711 + 8.54711i 0.366792 + 0.366792i
\(544\) 19.4598 13.4082i 0.834333 0.574872i
\(545\) −22.1672 9.50840i −0.949537 0.407295i
\(546\) 9.07784 + 7.58661i 0.388496 + 0.324677i
\(547\) 3.50210 22.1114i 0.149739 0.945415i −0.792354 0.610062i \(-0.791145\pi\)
0.942093 0.335353i \(-0.108855\pi\)
\(548\) −24.0866 + 0.515919i −1.02893 + 0.0220390i
\(549\) 9.75018i 0.416127i
\(550\) 20.7134 + 1.92861i 0.883222 + 0.0822361i
\(551\) 17.6293i 0.751033i
\(552\) −3.47261 + 0.952642i −0.147804 + 0.0405471i
\(553\) −6.13898 + 38.7600i −0.261056 + 1.64824i
\(554\) −8.86704 + 10.6100i −0.376725 + 0.450774i
\(555\) 22.2574 5.05004i 0.944776 0.214362i
\(556\) 2.27543 16.6696i 0.0964997 0.706947i
\(557\) −1.54450 1.54450i −0.0654426 0.0654426i 0.673628 0.739071i \(-0.264735\pi\)
−0.739071 + 0.673628i \(0.764735\pi\)
\(558\) 10.1044 4.31270i 0.427753 0.182571i
\(559\) 4.05015 12.4651i 0.171303 0.527217i
\(560\) 36.0598 + 7.50858i 1.52381 + 0.317295i
\(561\) −3.79792 11.6888i −0.160348 0.493501i
\(562\) −24.2218 27.7527i −1.02173 1.17068i
\(563\) −33.8732 + 17.2592i −1.42758 + 0.727391i −0.985515 0.169590i \(-0.945756\pi\)
−0.442070 + 0.896981i \(0.645756\pi\)
\(564\) −6.66140 + 6.95301i −0.280496 + 0.292775i
\(565\) 9.88534 + 24.7357i 0.415879 + 1.04064i
\(566\) 1.53528 22.5989i 0.0645325 0.949901i
\(567\) 4.06738 0.644210i 0.170814 0.0270543i
\(568\) 0.743567 16.0082i 0.0311994 0.671689i
\(569\) −4.84171 + 6.66404i −0.202975 + 0.279371i −0.898354 0.439272i \(-0.855236\pi\)
0.695379 + 0.718643i \(0.255236\pi\)
\(570\) 3.60923 + 7.11509i 0.151174 + 0.298018i
\(571\) −3.79165 5.21876i −0.158676 0.218398i 0.722276 0.691605i \(-0.243096\pi\)
−0.880951 + 0.473207i \(0.843096\pi\)
\(572\) 3.93619 + 11.2860i 0.164580 + 0.471893i
\(573\) −1.61504 0.822902i −0.0674691 0.0343772i
\(574\) −6.81135 27.0900i −0.284300 1.13072i
\(575\) 3.86920 5.05468i 0.161357 0.210795i
\(576\) −0.741586 + 7.96555i −0.0308994 + 0.331898i
\(577\) 7.18802 14.1073i 0.299241 0.587294i −0.691607 0.722274i \(-0.743097\pi\)
0.990848 + 0.134980i \(0.0430971\pi\)
\(578\) 0.636704 0.0569758i 0.0264834 0.00236988i
\(579\) 13.0294 9.46638i 0.541481 0.393409i
\(580\) −2.72934 31.1304i −0.113330 1.29262i
\(581\) −50.3597 36.5885i −2.08927 1.51794i
\(582\) 21.9017 + 13.1009i 0.907854 + 0.543048i
\(583\) 1.16776 + 7.37294i 0.0483637 + 0.305356i
\(584\) 10.4301 + 23.0566i 0.431602 + 0.954090i
\(585\) −0.299737 4.53247i −0.0123926 0.187395i
\(586\) −25.2598 + 15.8537i −1.04347 + 0.654912i
\(587\) −6.18104 12.1310i −0.255119 0.500699i 0.727553 0.686051i \(-0.240657\pi\)
−0.982672 + 0.185352i \(0.940657\pi\)
\(588\) 11.3593 16.3604i 0.468450 0.674690i
\(589\) 18.6399 6.05648i 0.768045 0.249553i
\(590\) 8.50986 11.6687i 0.350345 0.480391i
\(591\) 4.30067 + 1.39737i 0.176906 + 0.0574803i
\(592\) 37.1377 + 16.9606i 1.52635 + 0.697075i
\(593\) 23.0428 23.0428i 0.946253 0.946253i −0.0523746 0.998628i \(-0.516679\pi\)
0.998628 + 0.0523746i \(0.0166790\pi\)
\(594\) 3.86072 + 1.55094i 0.158407 + 0.0636358i
\(595\) 28.9368 + 25.3470i 1.18629 + 1.03912i
\(596\) 4.60259 9.53240i 0.188530 0.390462i
\(597\) −0.384389 0.0608812i −0.0157320 0.00249170i
\(598\) 3.56535 + 0.815687i 0.145798 + 0.0333559i
\(599\) −18.7963 −0.767998 −0.383999 0.923334i \(-0.625453\pi\)
−0.383999 + 0.923334i \(0.625453\pi\)
\(600\) −7.47484 12.0053i −0.305159 0.490113i
\(601\) −19.7593 −0.805998 −0.402999 0.915200i \(-0.632032\pi\)
−0.402999 + 0.915200i \(0.632032\pi\)
\(602\) −36.6289 8.38003i −1.49288 0.341544i
\(603\) −14.9494 2.36776i −0.608788 0.0964226i
\(604\) −2.14150 + 4.43525i −0.0871365 + 0.180468i
\(605\) −4.50427 + 2.68333i −0.183124 + 0.109093i
\(606\) 2.30592 + 0.926341i 0.0936715 + 0.0376300i
\(607\) 19.6308 19.6308i 0.796789 0.796789i −0.185799 0.982588i \(-0.559487\pi\)
0.982588 + 0.185799i \(0.0594873\pi\)
\(608\) −2.58426 + 14.0358i −0.104806 + 0.569229i
\(609\) −27.3674 8.89221i −1.10898 0.360330i
\(610\) 0.0554018 30.8327i 0.00224316 1.24838i
\(611\) 9.30160 3.02227i 0.376303 0.122268i
\(612\) −4.76514 + 6.86305i −0.192619 + 0.277422i
\(613\) 16.9009 + 33.1698i 0.682620 + 1.33972i 0.928832 + 0.370501i \(0.120814\pi\)
−0.246212 + 0.969216i \(0.579186\pi\)
\(614\) −11.8756 + 7.45347i −0.479261 + 0.300797i
\(615\) −5.71769 + 9.07375i −0.230560 + 0.365889i
\(616\) 31.2214 14.1236i 1.25795 0.569057i
\(617\) −2.10927 13.3174i −0.0849160 0.536139i −0.993072 0.117507i \(-0.962510\pi\)
0.908156 0.418632i \(-0.137490\pi\)
\(618\) −7.77265 4.64935i −0.312662 0.187024i
\(619\) 3.48666 + 2.53321i 0.140141 + 0.101818i 0.655647 0.755068i \(-0.272396\pi\)
−0.515506 + 0.856886i \(0.672396\pi\)
\(620\) −31.9773 + 13.5805i −1.28424 + 0.545407i
\(621\) 1.02997 0.748317i 0.0413313 0.0300289i
\(622\) −41.9415 + 3.75316i −1.68170 + 0.150488i
\(623\) 7.23436 14.1982i 0.289839 0.568840i
\(624\) 4.49027 6.77226i 0.179755 0.271108i
\(625\) 23.3604 + 8.90455i 0.934417 + 0.356182i
\(626\) 4.77502 + 18.9912i 0.190848 + 0.759041i
\(627\) 6.61339 + 3.36969i 0.264113 + 0.134572i
\(628\) 10.2444 + 29.3733i 0.408797 + 1.17212i
\(629\) 25.0629 + 34.4962i 0.999325 + 1.37545i
\(630\) −12.8658 + 2.01406i −0.512587 + 0.0802419i
\(631\) 0.543515 0.748085i 0.0216370 0.0297808i −0.798061 0.602576i \(-0.794141\pi\)
0.819698 + 0.572795i \(0.194141\pi\)
\(632\) 26.9244 + 1.25061i 1.07099 + 0.0497468i
\(633\) −11.0399 + 1.74856i −0.438799 + 0.0694989i
\(634\) −2.81414 + 41.4234i −0.111764 + 1.64513i
\(635\) 11.0395 + 6.95638i 0.438089 + 0.276055i
\(636\) 3.51069 3.66438i 0.139208 0.145302i
\(637\) −18.0251 + 9.18424i −0.714180 + 0.363893i
\(638\) −19.1169 21.9037i −0.756847 0.867177i
\(639\) 1.75085 + 5.38855i 0.0692624 + 0.213168i
\(640\) 2.39036 25.1850i 0.0944872 0.995526i
\(641\) 0.925645 2.84884i 0.0365608 0.112523i −0.931111 0.364737i \(-0.881159\pi\)
0.967671 + 0.252215i \(0.0811589\pi\)
\(642\) −15.3482 + 6.55086i −0.605746 + 0.258542i
\(643\) 18.1860 + 18.1860i 0.717184 + 0.717184i 0.968028 0.250843i \(-0.0807079\pi\)
−0.250843 + 0.968028i \(0.580708\pi\)
\(644\) 1.41815 10.3892i 0.0558830 0.409393i
\(645\) 7.38369 + 12.3944i 0.290732 + 0.488027i
\(646\) −9.55830 + 11.4371i −0.376066 + 0.449986i
\(647\) −3.07874 + 19.4384i −0.121038 + 0.764203i 0.850265 + 0.526356i \(0.176442\pi\)
−0.971302 + 0.237848i \(0.923558\pi\)
\(648\) −0.748277 2.72765i −0.0293951 0.107152i
\(649\) 13.4361i 0.527412i
\(650\) 0.922097 + 14.3346i 0.0361676 + 0.562250i
\(651\) 31.9912i 1.25383i
\(652\) −7.30840 + 0.156541i −0.286219 + 0.00613062i
\(653\) −5.10462 + 32.2293i −0.199759 + 1.26123i 0.660287 + 0.751013i \(0.270435\pi\)
−0.860046 + 0.510216i \(0.829565\pi\)
\(654\) 11.7055 + 9.78260i 0.457720 + 0.382530i
\(655\) 19.8074 22.6127i 0.773940 0.883551i
\(656\) −17.9758 + 6.70447i −0.701838 + 0.261766i
\(657\) −6.32651 6.32651i −0.246821 0.246821i
\(658\) −11.0069 25.7884i −0.429092 1.00533i
\(659\) 3.81602 11.7445i 0.148651 0.457500i −0.848812 0.528696i \(-0.822681\pi\)
0.997462 + 0.0711952i \(0.0226813\pi\)
\(660\) −12.1998 4.92643i −0.474878 0.191761i
\(661\) −14.4254 44.3968i −0.561083 1.72683i −0.679313 0.733848i \(-0.737722\pi\)
0.118231 0.992986i \(-0.462278\pi\)
\(662\) −9.00491 + 7.85923i −0.349986 + 0.305458i
\(663\) 7.56139 3.85272i 0.293660 0.149627i
\(664\) −21.1565 + 37.1523i −0.821030 + 1.44179i
\(665\) −23.1812 + 1.53300i −0.898927 + 0.0594471i
\(666\) −14.4014 0.978376i −0.558044 0.0379113i
\(667\) −8.78657 + 1.39166i −0.340217 + 0.0538851i
\(668\) −27.1253 8.17564i −1.04951 0.316325i
\(669\) 1.09589 1.50836i 0.0423695 0.0583167i
\(670\) 47.2607 + 7.57244i 1.82584 + 0.292549i
\(671\) −16.8605 23.2066i −0.650894 0.895879i
\(672\) −20.4855 11.0914i −0.790245 0.427861i
\(673\) −23.1435 11.7922i −0.892115 0.454555i −0.0530536 0.998592i \(-0.516895\pi\)
−0.839062 + 0.544036i \(0.816895\pi\)
\(674\) −42.4553 + 10.6747i −1.63532 + 0.411174i
\(675\) 3.97033 + 3.03916i 0.152818 + 0.116977i
\(676\) 15.6363 8.39362i 0.601396 0.322831i
\(677\) −10.6821 + 20.9649i −0.410547 + 0.805745i −0.999998 0.00205983i \(-0.999344\pi\)
0.589450 + 0.807805i \(0.299344\pi\)
\(678\) −1.50159 16.7802i −0.0576681 0.644440i
\(679\) −60.1220 + 43.6812i −2.30727 + 1.67633i
\(680\) 15.1077 21.6758i 0.579353 0.831228i
\(681\) 5.10766 + 3.71093i 0.195726 + 0.142203i
\(682\) −16.5918 + 27.7378i −0.635334 + 1.06214i
\(683\) 5.16155 + 32.5887i 0.197501 + 1.24697i 0.864775 + 0.502160i \(0.167461\pi\)
−0.667274 + 0.744813i \(0.732539\pi\)
\(684\) −0.895884 4.96566i −0.0342550 0.189867i
\(685\) −25.0124 + 9.99592i −0.955676 + 0.381924i
\(686\) 9.15970 + 14.5942i 0.349719 + 0.557208i
\(687\) −2.77598 5.44816i −0.105910 0.207860i
\(688\) −2.94207 + 25.6396i −0.112165 + 0.977500i
\(689\) −4.90213 + 1.59280i −0.186756 + 0.0606808i
\(690\) −3.26130 + 2.36053i −0.124156 + 0.0898639i
\(691\) 12.2625 + 3.98433i 0.466487 + 0.151571i 0.532824 0.846226i \(-0.321131\pi\)
−0.0663361 + 0.997797i \(0.521131\pi\)
\(692\) −29.5112 38.8415i −1.12185 1.47653i
\(693\) −8.56684 + 8.56684i −0.325427 + 0.325427i
\(694\) 15.6309 38.9096i 0.593341 1.47699i
\(695\) −4.16205 18.3437i −0.157875 0.695817i
\(696\) −3.99420 + 19.3563i −0.151400 + 0.733698i
\(697\) −19.7904 3.13449i −0.749613 0.118727i
\(698\) −6.33918 + 27.7084i −0.239942 + 1.04878i
\(699\) −3.87668 −0.146630
\(700\) 40.6967 6.29589i 1.53819 0.237962i
\(701\) −10.1632 −0.383857 −0.191929 0.981409i \(-0.561474\pi\)
−0.191929 + 0.981409i \(0.561474\pi\)
\(702\) −0.640703 + 2.80049i −0.0241818 + 0.105698i
\(703\) −25.4339 4.02834i −0.959259 0.151932i
\(704\) −12.0094 20.2413i −0.452622 0.762874i
\(705\) −4.24387 + 9.89383i −0.159833 + 0.372623i
\(706\) 7.42276 18.4773i 0.279359 0.695402i
\(707\) −5.11678 + 5.11678i −0.192436 + 0.192436i
\(708\) −7.27290 + 5.52585i −0.273332 + 0.207674i
\(709\) 19.1758 + 6.23061i 0.720164 + 0.233995i 0.646094 0.763258i \(-0.276401\pi\)
0.0740695 + 0.997253i \(0.476401\pi\)
\(710\) −5.50603 17.0500i −0.206638 0.639876i
\(711\) −9.06306 + 2.94477i −0.339891 + 0.110437i
\(712\) −10.2409 3.86142i −0.383793 0.144713i
\(713\) 4.49003 + 8.81217i 0.168153 + 0.330019i
\(714\) −12.9335 20.6070i −0.484025 0.771197i
\(715\) 8.55121 + 10.2695i 0.319797 + 0.384057i
\(716\) 22.5872 4.07509i 0.844124 0.152293i
\(717\) 3.28963 + 20.7699i 0.122853 + 0.775666i
\(718\) −13.3583 + 22.3321i −0.498528 + 0.833425i
\(719\) −4.47990 3.25484i −0.167072 0.121385i 0.501107 0.865385i \(-0.332926\pi\)
−0.668179 + 0.744000i \(0.732926\pi\)
\(720\) 2.35076 + 8.62983i 0.0876076 + 0.321615i
\(721\) 21.3366 15.5020i 0.794617 0.577323i
\(722\) 1.59260 + 17.7973i 0.0592705 + 0.662348i
\(723\) −7.75494 + 15.2199i −0.288409 + 0.566035i
\(724\) 11.4339 + 21.3000i 0.424938 + 0.791609i
\(725\) −15.0782 31.5172i −0.559991 1.17052i
\(726\) 3.21585 0.808572i 0.119351 0.0300089i
\(727\) −20.1834 10.2839i −0.748560 0.381410i 0.0377137 0.999289i \(-0.487992\pi\)
−0.786274 + 0.617878i \(0.787992\pi\)
\(728\) 13.0046 + 19.7671i 0.481982 + 0.732616i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 19.9702 + 20.0421i 0.739131 + 0.741792i
\(731\) −15.8428 + 21.8058i −0.585969 + 0.806517i
\(732\) −5.62741 + 18.6707i −0.207995 + 0.690090i
\(733\) −20.5076 + 3.24809i −0.757467 + 0.119971i −0.523210 0.852204i \(-0.675266\pi\)
−0.234257 + 0.972175i \(0.575266\pi\)
\(734\) 0.240067 + 0.0163092i 0.00886104 + 0.000601984i
\(735\) 5.46874 21.5862i 0.201718 0.796217i
\(736\) −7.19957 0.180025i −0.265380 0.00663580i
\(737\) 39.6759 20.2159i 1.46148 0.744661i
\(738\) 5.11042 4.46023i 0.188117 0.164183i
\(739\) −12.0568 37.1070i −0.443517 1.36500i −0.884102 0.467293i \(-0.845229\pi\)
0.440586 0.897710i \(-0.354771\pi\)
\(740\) 45.5357 + 3.17572i 1.67393 + 0.116742i
\(741\) −1.58374 + 4.87424i −0.0581800 + 0.179060i
\(742\) 5.80083 + 13.5910i 0.212955 + 0.498940i
\(743\) 13.7818 + 13.7818i 0.505605 + 0.505605i 0.913174 0.407569i \(-0.133623\pi\)
−0.407569 + 0.913174i \(0.633623\pi\)
\(744\) 21.8381 2.42660i 0.800624 0.0889637i
\(745\) 1.07601 11.7858i 0.0394220 0.431799i
\(746\) −0.339715 0.283910i −0.0124379 0.0103947i
\(747\) 2.36463 14.9297i 0.0865172 0.546248i
\(748\) −0.526380 24.5750i −0.0192463 0.898551i
\(749\) 48.5935i 1.77557i
\(750\) −12.5380 9.63322i −0.457822 0.351756i
\(751\) 5.44983i 0.198867i −0.995044 0.0994336i \(-0.968297\pi\)
0.995044 0.0994336i \(-0.0317031\pi\)
\(752\) −16.7690 + 9.46971i −0.611502 + 0.345325i
\(753\) 1.16354 7.34632i 0.0424018 0.267715i
\(754\) 12.8731 15.4035i 0.468812 0.560962i
\(755\) −0.500648 + 5.48372i −0.0182204 + 0.199573i
\(756\) 8.16049 + 1.11392i 0.296794 + 0.0405130i
\(757\) 10.0153 + 10.0153i 0.364012 + 0.364012i 0.865288 0.501275i \(-0.167136\pi\)
−0.501275 + 0.865288i \(0.667136\pi\)
\(758\) −8.72951 + 3.72589i −0.317070 + 0.135330i
\(759\) −1.15742 + 3.56216i −0.0420116 + 0.129298i
\(760\) 2.80481 + 15.7079i 0.101741 + 0.569784i
\(761\) 8.57919 + 26.4040i 0.310995 + 0.957145i 0.977372 + 0.211529i \(0.0678444\pi\)
−0.666376 + 0.745616i \(0.732156\pi\)
\(762\) −5.42649 6.21754i −0.196581 0.225238i
\(763\) −39.5799 + 20.1670i −1.43289 + 0.730094i
\(764\) −2.61771 2.50792i −0.0947053 0.0907333i
\(765\) −2.29410 + 9.05523i −0.0829432 + 0.327393i
\(766\) −2.52238 + 37.1287i −0.0911373 + 1.34152i
\(767\) 9.16324 1.45132i 0.330866 0.0524040i
\(768\) −6.01747 + 14.8253i −0.217137 + 0.534963i
\(769\) −5.13191 + 7.06347i −0.185061 + 0.254715i −0.891460 0.453099i \(-0.850318\pi\)
0.706399 + 0.707814i \(0.250318\pi\)
\(770\) 27.1394 27.0420i 0.978034 0.974526i
\(771\) −12.8939 17.7470i −0.464364 0.639142i
\(772\) 30.4137 10.6073i 1.09461 0.381764i
\(773\) 38.1655 + 19.4463i 1.37272 + 0.699434i 0.975850 0.218442i \(-0.0700974\pi\)
0.396867 +