Properties

Label 354.2.e.b.19.1
Level 354
Weight 2
Character 354.19
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) = 354.19
Dual form 354.2.e.b.205.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-2.36756 + 0.521140i) q^{5} +(0.267528 + 0.963550i) q^{6} +(2.60217 - 1.97812i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(-0.468408 + 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-2.36756 + 0.521140i) q^{5} +(0.267528 + 0.963550i) q^{6} +(2.60217 - 1.97812i) q^{7} +(0.994138 - 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.648553 - 2.33588i) q^{10} +(-0.927348 - 2.32747i) q^{11} +(-0.976621 - 0.214970i) q^{12} +(-0.131941 - 2.43350i) q^{13} +(0.528812 + 3.22561i) q^{14} +(-1.36045 + 2.00652i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(-0.651026 - 0.494897i) q^{17} +(0.856857 + 0.515554i) q^{18} +(5.97215 - 2.01225i) q^{19} +(1.75999 + 1.66715i) q^{20} +(0.528812 - 3.22561i) q^{21} +(2.49072 + 0.270883i) q^{22} +(4.88591 - 2.93976i) q^{23} +(0.647386 - 0.762162i) q^{24} +(0.795892 - 0.368219i) q^{25} +(2.21183 + 1.02330i) q^{26} +(-0.647386 - 0.762162i) q^{27} +(-3.09757 - 1.04369i) q^{28} +(-0.464606 - 0.876340i) q^{29} +(-1.13553 - 2.14185i) q^{30} +(-2.03429 - 0.685432i) q^{31} +(-0.647386 - 0.762162i) q^{32} +(-2.27385 - 1.05199i) q^{33} +(0.742193 - 0.343375i) q^{34} +(-5.12992 + 6.03941i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(2.04670 + 0.222592i) q^{37} +(-1.01956 + 6.21902i) q^{38} +(-1.76931 - 1.67597i) q^{39} +(-2.29734 + 0.774064i) q^{40} +(-4.85172 - 2.91918i) q^{41} +(2.60217 + 1.97812i) q^{42} +(-0.124687 + 0.312940i) q^{43} +(-1.40600 + 2.07370i) q^{44} +(0.392198 + 2.39231i) q^{45} +(0.308707 + 5.69377i) q^{46} +(8.13554 + 1.79077i) q^{47} +(0.370138 + 0.928977i) q^{48} +(0.985634 - 3.54993i) q^{49} +(-0.0474767 + 0.875657i) q^{50} +(-0.812982 + 0.0884171i) q^{51} +(-1.94014 + 1.47485i) q^{52} +(2.07159 + 7.46120i) q^{53} +(0.976621 - 0.214970i) q^{54} +(3.40849 + 5.02715i) q^{55} +(2.37304 - 2.24786i) q^{56} +(2.95193 - 5.56793i) q^{57} +0.991883 q^{58} +(-7.48869 + 1.70866i) q^{59} +2.42424 q^{60} +(-2.20129 + 4.15208i) q^{61} +(1.55847 - 1.47626i) q^{62} +(-1.83434 - 2.70544i) q^{63} +(0.976621 - 0.214970i) q^{64} +(1.58057 + 5.69271i) q^{65} +(1.99454 - 1.51621i) q^{66} +(-9.99052 + 1.08653i) q^{67} +(-0.0442735 + 0.816577i) q^{68} +(1.52548 - 5.49429i) q^{69} +(-2.93299 - 7.36126i) q^{70} +(4.13333 + 0.909814i) q^{71} +(-0.0541389 - 0.998533i) q^{72} +(-0.656455 - 4.00420i) q^{73} +(-1.15536 + 1.70402i) q^{74} +(0.324590 - 0.814660i) q^{75} +(-5.01701 - 3.81383i) q^{76} +(-7.01712 - 4.22206i) q^{77} +(2.30950 - 0.778162i) q^{78} +(4.23142 + 4.00821i) q^{79} +(0.392198 - 2.39231i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(4.85172 - 2.91918i) q^{82} +(-7.54360 + 8.88101i) q^{83} +(-2.96657 + 1.37248i) q^{84} +(1.79926 + 0.832424i) q^{85} +(-0.218082 - 0.256746i) q^{86} +(-0.939961 - 0.316710i) q^{87} +(-1.17356 - 2.21356i) q^{88} +(7.85479 + 14.8157i) q^{89} +(-2.29734 - 0.774064i) q^{90} +(-5.15708 - 6.07138i) q^{91} +(-5.17512 - 2.39426i) q^{92} +(-1.94826 + 0.901359i) q^{93} +(-5.39292 + 6.34903i) q^{94} +(-13.0908 + 7.87646i) q^{95} +(-0.994138 - 0.108119i) q^{96} +(2.14087 - 13.0587i) q^{97} +(2.67473 + 2.53364i) q^{98} +(-2.37426 + 0.799982i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.468408 + 0.883512i −0.331215 + 0.624737i
\(3\) 0.725995 0.687699i 0.419154 0.397043i
\(4\) −0.561187 0.827689i −0.280594 0.413844i
\(5\) −2.36756 + 0.521140i −1.05881 + 0.233061i −0.710049 0.704152i \(-0.751327\pi\)
−0.348757 + 0.937213i \(0.613396\pi\)
\(6\) 0.267528 + 0.963550i 0.109218 + 0.393368i
\(7\) 2.60217 1.97812i 0.983527 0.747658i 0.0158562 0.999874i \(-0.494953\pi\)
0.967671 + 0.252216i \(0.0811595\pi\)
\(8\) 0.994138 0.108119i 0.351481 0.0382258i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) 0.648553 2.33588i 0.205090 0.738669i
\(11\) −0.927348 2.32747i −0.279606 0.701758i −0.999967 0.00815855i \(-0.997403\pi\)
0.720361 0.693600i \(-0.243976\pi\)
\(12\) −0.976621 0.214970i −0.281926 0.0620566i
\(13\) −0.131941 2.43350i −0.0365937 0.674932i −0.958077 0.286512i \(-0.907504\pi\)
0.921483 0.388419i \(-0.126979\pi\)
\(14\) 0.528812 + 3.22561i 0.141331 + 0.862081i
\(15\) −1.36045 + 2.00652i −0.351267 + 0.518081i
\(16\) −0.370138 + 0.928977i −0.0925345 + 0.232244i
\(17\) −0.651026 0.494897i −0.157897 0.120030i 0.523243 0.852184i \(-0.324722\pi\)
−0.681139 + 0.732154i \(0.738515\pi\)
\(18\) 0.856857 + 0.515554i 0.201963 + 0.121517i
\(19\) 5.97215 2.01225i 1.37011 0.461642i 0.464428 0.885611i \(-0.346260\pi\)
0.905677 + 0.423968i \(0.139363\pi\)
\(20\) 1.75999 + 1.66715i 0.393545 + 0.372786i
\(21\) 0.528812 3.22561i 0.115396 0.703887i
\(22\) 2.49072 + 0.270883i 0.531024 + 0.0577524i
\(23\) 4.88591 2.93976i 1.01878 0.612982i 0.0948326 0.995493i \(-0.469768\pi\)
0.923951 + 0.382512i \(0.124941\pi\)
\(24\) 0.647386 0.762162i 0.132147 0.155576i
\(25\) 0.795892 0.368219i 0.159178 0.0736438i
\(26\) 2.21183 + 1.02330i 0.433775 + 0.200686i
\(27\) −0.647386 0.762162i −0.124590 0.146678i
\(28\) −3.09757 1.04369i −0.585385 0.197239i
\(29\) −0.464606 0.876340i −0.0862752 0.162732i 0.836620 0.547784i \(-0.184528\pi\)
−0.922895 + 0.385052i \(0.874184\pi\)
\(30\) −1.13553 2.14185i −0.207319 0.391046i
\(31\) −2.03429 0.685432i −0.365369 0.123107i 0.130628 0.991431i \(-0.458301\pi\)
−0.495997 + 0.868324i \(0.665197\pi\)
\(32\) −0.647386 0.762162i −0.114443 0.134732i
\(33\) −2.27385 1.05199i −0.395826 0.183129i
\(34\) 0.742193 0.343375i 0.127285 0.0588884i
\(35\) −5.12992 + 6.03941i −0.867115 + 1.02085i
\(36\) −0.856857 + 0.515554i −0.142810 + 0.0859256i
\(37\) 2.04670 + 0.222592i 0.336476 + 0.0365940i 0.274798 0.961502i \(-0.411389\pi\)
0.0616785 + 0.998096i \(0.480355\pi\)
\(38\) −1.01956 + 6.21902i −0.165394 + 1.00886i
\(39\) −1.76931 1.67597i −0.283316 0.268371i
\(40\) −2.29734 + 0.774064i −0.363241 + 0.122390i
\(41\) −4.85172 2.91918i −0.757712 0.455900i 0.0835666 0.996502i \(-0.473369\pi\)
−0.841278 + 0.540602i \(0.818196\pi\)
\(42\) 2.60217 + 1.97812i 0.401523 + 0.305230i
\(43\) −0.124687 + 0.312940i −0.0190145 + 0.0477229i −0.938177 0.346155i \(-0.887487\pi\)
0.919163 + 0.393877i \(0.128867\pi\)
\(44\) −1.40600 + 2.07370i −0.211963 + 0.312622i
\(45\) 0.392198 + 2.39231i 0.0584655 + 0.356624i
\(46\) 0.308707 + 5.69377i 0.0455164 + 0.839501i
\(47\) 8.13554 + 1.79077i 1.18669 + 0.261210i 0.764092 0.645107i \(-0.223187\pi\)
0.422598 + 0.906317i \(0.361118\pi\)
\(48\) 0.370138 + 0.928977i 0.0534248 + 0.134086i
\(49\) 0.985634 3.54993i 0.140805 0.507133i
\(50\) −0.0474767 + 0.875657i −0.00671422 + 0.123837i
\(51\) −0.812982 + 0.0884171i −0.113840 + 0.0123809i
\(52\) −1.94014 + 1.47485i −0.269049 + 0.204526i
\(53\) 2.07159 + 7.46120i 0.284555 + 1.02488i 0.958266 + 0.285880i \(0.0922857\pi\)
−0.673710 + 0.738995i \(0.735300\pi\)
\(54\) 0.976621 0.214970i 0.132901 0.0292538i
\(55\) 3.40849 + 5.02715i 0.459601 + 0.677861i
\(56\) 2.37304 2.24786i 0.317111 0.300384i
\(57\) 2.95193 5.56793i 0.390993 0.737490i
\(58\) 0.991883 0.130241
\(59\) −7.48869 + 1.70866i −0.974944 + 0.222449i
\(60\) 2.42424 0.312968
\(61\) −2.20129 + 4.15208i −0.281846 + 0.531619i −0.983502 0.180898i \(-0.942100\pi\)
0.701655 + 0.712516i \(0.252445\pi\)
\(62\) 1.55847 1.47626i 0.197925 0.187485i
\(63\) −1.83434 2.70544i −0.231105 0.340854i
\(64\) 0.976621 0.214970i 0.122078 0.0268713i
\(65\) 1.58057 + 5.69271i 0.196046 + 0.706093i
\(66\) 1.99454 1.51621i 0.245511 0.186633i
\(67\) −9.99052 + 1.08653i −1.22054 + 0.132741i −0.695618 0.718412i \(-0.744869\pi\)
−0.524918 + 0.851153i \(0.675904\pi\)
\(68\) −0.0442735 + 0.816577i −0.00536895 + 0.0990245i
\(69\) 1.52548 5.49429i 0.183646 0.661435i
\(70\) −2.93299 7.36126i −0.350560 0.879839i
\(71\) 4.13333 + 0.909814i 0.490536 + 0.107975i 0.453349 0.891333i \(-0.350229\pi\)
0.0371869 + 0.999308i \(0.488160\pi\)
\(72\) −0.0541389 0.998533i −0.00638033 0.117678i
\(73\) −0.656455 4.00420i −0.0768323 0.468656i −0.997018 0.0771734i \(-0.975410\pi\)
0.920185 0.391483i \(-0.128038\pi\)
\(74\) −1.15536 + 1.70402i −0.134307 + 0.198089i
\(75\) 0.324590 0.814660i 0.0374804 0.0940688i
\(76\) −5.01701 3.81383i −0.575491 0.437477i
\(77\) −7.01712 4.22206i −0.799675 0.481149i
\(78\) 2.30950 0.778162i 0.261500 0.0881095i
\(79\) 4.23142 + 4.00821i 0.476072 + 0.450959i 0.887720 0.460384i \(-0.152288\pi\)
−0.411648 + 0.911343i \(0.635047\pi\)
\(80\) 0.392198 2.39231i 0.0438491 0.267468i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) 4.85172 2.91918i 0.535783 0.322370i
\(83\) −7.54360 + 8.88101i −0.828017 + 0.974817i −0.999947 0.0102919i \(-0.996724\pi\)
0.171930 + 0.985109i \(0.445000\pi\)
\(84\) −2.96657 + 1.37248i −0.323679 + 0.149750i
\(85\) 1.79926 + 0.832424i 0.195157 + 0.0902891i
\(86\) −0.218082 0.256746i −0.0235164 0.0276856i
\(87\) −0.939961 0.316710i −0.100774 0.0339548i
\(88\) −1.17356 2.21356i −0.125101 0.235966i
\(89\) 7.85479 + 14.8157i 0.832606 + 1.57046i 0.821280 + 0.570525i \(0.193260\pi\)
0.0113254 + 0.999936i \(0.496395\pi\)
\(90\) −2.29734 0.774064i −0.242161 0.0815935i
\(91\) −5.15708 6.07138i −0.540609 0.636454i
\(92\) −5.17512 2.39426i −0.539543 0.249619i
\(93\) −1.94826 + 0.901359i −0.202025 + 0.0934666i
\(94\) −5.39292 + 6.34903i −0.556237 + 0.654853i
\(95\) −13.0908 + 7.87646i −1.34309 + 0.808108i
\(96\) −0.994138 0.108119i −0.101464 0.0110349i
\(97\) 2.14087 13.0587i 0.217373 1.32592i −0.622281 0.782794i \(-0.713794\pi\)
0.839654 0.543121i \(-0.182758\pi\)
\(98\) 2.67473 + 2.53364i 0.270188 + 0.255936i
\(99\) −2.37426 + 0.799982i −0.238622 + 0.0804012i
\(100\) −0.751415 0.452111i −0.0751415 0.0452111i
\(101\) −2.77197 2.10720i −0.275822 0.209674i 0.458114 0.888894i \(-0.348525\pi\)
−0.733935 + 0.679220i \(0.762318\pi\)
\(102\) 0.302690 0.759695i 0.0299708 0.0752210i
\(103\) −9.21059 + 13.5846i −0.907547 + 1.33853i 0.0332096 + 0.999448i \(0.489427\pi\)
−0.940756 + 0.339083i \(0.889883\pi\)
\(104\) −0.394275 2.40497i −0.0386618 0.235827i
\(105\) 0.428999 + 7.91243i 0.0418661 + 0.772174i
\(106\) −7.56241 1.66461i −0.734527 0.161682i
\(107\) −7.17189 18.0001i −0.693332 1.74013i −0.672215 0.740356i \(-0.734657\pi\)
−0.0211175 0.999777i \(-0.506722\pi\)
\(108\) −0.267528 + 0.963550i −0.0257429 + 0.0927176i
\(109\) −0.125158 + 2.30840i −0.0119880 + 0.221105i 0.986401 + 0.164359i \(0.0525554\pi\)
−0.998389 + 0.0567464i \(0.981927\pi\)
\(110\) −6.03812 + 0.656685i −0.575712 + 0.0626124i
\(111\) 1.63897 1.24592i 0.155565 0.118257i
\(112\) 0.874463 + 3.14953i 0.0826290 + 0.297603i
\(113\) 6.69713 1.47415i 0.630013 0.138676i 0.111525 0.993762i \(-0.464426\pi\)
0.518487 + 0.855085i \(0.326495\pi\)
\(114\) 3.53662 + 5.21613i 0.331235 + 0.488535i
\(115\) −10.0357 + 9.50630i −0.935832 + 0.886467i
\(116\) −0.464606 + 0.876340i −0.0431376 + 0.0813662i
\(117\) −2.43707 −0.225308
\(118\) 1.99814 7.41670i 0.183944 0.682762i
\(119\) −2.67304 −0.245037
\(120\) −1.13553 + 2.14185i −0.103660 + 0.195523i
\(121\) 3.42882 3.24795i 0.311710 0.295268i
\(122\) −2.63731 3.88973i −0.238770 0.352160i
\(123\) −5.52985 + 1.21721i −0.498610 + 0.109752i
\(124\) 0.574292 + 2.06841i 0.0515730 + 0.185749i
\(125\) 7.95718 6.04889i 0.711711 0.541029i
\(126\) 3.24951 0.353406i 0.289490 0.0314839i
\(127\) −0.901189 + 16.6215i −0.0799676 + 1.47492i 0.633236 + 0.773959i \(0.281726\pi\)
−0.713204 + 0.700957i \(0.752757\pi\)
\(128\) −0.267528 + 0.963550i −0.0236464 + 0.0851666i
\(129\) 0.124687 + 0.312940i 0.0109780 + 0.0275528i
\(130\) −5.76993 1.27006i −0.506056 0.111391i
\(131\) 0.306041 + 5.64460i 0.0267389 + 0.493171i 0.980977 + 0.194123i \(0.0621861\pi\)
−0.954238 + 0.299048i \(0.903331\pi\)
\(132\) 0.405330 + 2.47241i 0.0352795 + 0.215195i
\(133\) 11.5601 17.0498i 1.00239 1.47841i
\(134\) 3.71968 9.33568i 0.321331 0.806480i
\(135\) 1.92992 + 1.46709i 0.166101 + 0.126267i
\(136\) −0.700717 0.421608i −0.0600860 0.0361525i
\(137\) 15.9668 5.37983i 1.36413 0.459630i 0.460394 0.887715i \(-0.347708\pi\)
0.903738 + 0.428085i \(0.140812\pi\)
\(138\) 4.13972 + 3.92135i 0.352397 + 0.333808i
\(139\) 1.48501 9.05818i 0.125957 0.768305i −0.846006 0.533173i \(-0.821000\pi\)
0.971963 0.235132i \(-0.0755522\pi\)
\(140\) 7.87760 + 0.856741i 0.665779 + 0.0724078i
\(141\) 7.13787 4.29471i 0.601117 0.361680i
\(142\) −2.73992 + 3.22568i −0.229929 + 0.270693i
\(143\) −5.54154 + 2.56379i −0.463407 + 0.214395i
\(144\) 0.907575 + 0.419889i 0.0756313 + 0.0349908i
\(145\) 1.55668 + 1.83267i 0.129275 + 0.152195i
\(146\) 3.84525 + 1.29562i 0.318235 + 0.107226i
\(147\) −1.72572 3.25506i −0.142335 0.268472i
\(148\) −0.964347 1.81895i −0.0792688 0.149517i
\(149\) 2.95545 + 0.995808i 0.242120 + 0.0815797i 0.437745 0.899099i \(-0.355777\pi\)
−0.195625 + 0.980679i \(0.562674\pi\)
\(150\) 0.567721 + 0.668373i 0.0463542 + 0.0545724i
\(151\) 17.4698 + 8.08237i 1.42167 + 0.657734i 0.971896 0.235409i \(-0.0756430\pi\)
0.449772 + 0.893143i \(0.351505\pi\)
\(152\) 5.71958 2.64616i 0.463919 0.214632i
\(153\) −0.529417 + 0.623278i −0.0428008 + 0.0503890i
\(154\) 7.01712 4.22206i 0.565456 0.340223i
\(155\) 5.17351 + 0.562654i 0.415547 + 0.0451934i
\(156\) −0.394275 + 2.40497i −0.0315672 + 0.192552i
\(157\) 5.98797 + 5.67211i 0.477892 + 0.452683i 0.888330 0.459205i \(-0.151866\pi\)
−0.410438 + 0.911888i \(0.634624\pi\)
\(158\) −5.52334 + 1.86103i −0.439413 + 0.148055i
\(159\) 6.63503 + 3.99217i 0.526192 + 0.316599i
\(160\) 1.92992 + 1.46709i 0.152574 + 0.115983i
\(161\) 6.89879 17.3146i 0.543700 1.36459i
\(162\) 0.561187 0.827689i 0.0440910 0.0650294i
\(163\) 3.94801 + 24.0818i 0.309232 + 1.88623i 0.445065 + 0.895498i \(0.353181\pi\)
−0.135833 + 0.990732i \(0.543371\pi\)
\(164\) 0.306547 + 5.65393i 0.0239373 + 0.441497i
\(165\) 5.93172 + 1.30567i 0.461784 + 0.101646i
\(166\) −4.31299 10.8248i −0.334753 0.840167i
\(167\) 5.10707 18.3940i 0.395197 1.42337i −0.451965 0.892036i \(-0.649277\pi\)
0.847162 0.531335i \(-0.178310\pi\)
\(168\) 0.176962 3.26388i 0.0136529 0.251814i
\(169\) 7.01928 0.763393i 0.539944 0.0587225i
\(170\) −1.57824 + 1.19975i −0.121046 + 0.0920166i
\(171\) −1.68597 6.07233i −0.128930 0.464363i
\(172\) 0.328989 0.0724160i 0.0250852 0.00552167i
\(173\) 4.81286 + 7.09844i 0.365915 + 0.539684i 0.965424 0.260683i \(-0.0839479\pi\)
−0.599509 + 0.800368i \(0.704638\pi\)
\(174\) 0.720103 0.682117i 0.0545908 0.0517112i
\(175\) 1.34266 2.53253i 0.101496 0.191442i
\(176\) 2.50541 0.188852
\(177\) −4.26171 + 6.39045i −0.320330 + 0.480336i
\(178\) −16.7691 −1.25690
\(179\) 10.2989 19.4259i 0.769779 1.45196i −0.118647 0.992937i \(-0.537856\pi\)
0.888426 0.459020i \(-0.151800\pi\)
\(180\) 1.75999 1.66715i 0.131182 0.124262i
\(181\) −7.73586 11.4095i −0.575002 0.848064i 0.423320 0.905980i \(-0.360865\pi\)
−0.998321 + 0.0579160i \(0.981554\pi\)
\(182\) 7.77976 1.71245i 0.576674 0.126936i
\(183\) 1.25725 + 4.52822i 0.0929388 + 0.334735i
\(184\) 4.53943 3.45078i 0.334651 0.254395i
\(185\) −4.96170 + 0.539618i −0.364792 + 0.0396735i
\(186\) 0.116218 2.14351i 0.00852150 0.157170i
\(187\) −0.548129 + 1.97418i −0.0400832 + 0.144367i
\(188\) −3.08336 7.73865i −0.224877 0.564399i
\(189\) −3.19225 0.702668i −0.232202 0.0511116i
\(190\) −0.827116 15.2553i −0.0600053 1.10673i
\(191\) −0.199387 1.21621i −0.0144271 0.0880015i 0.978632 0.205622i \(-0.0659217\pi\)
−0.993059 + 0.117620i \(0.962473\pi\)
\(192\) 0.561187 0.827689i 0.0405002 0.0597333i
\(193\) −7.91967 + 19.8769i −0.570070 + 1.43077i 0.307606 + 0.951514i \(0.400472\pi\)
−0.877676 + 0.479254i \(0.840907\pi\)
\(194\) 10.5348 + 8.00832i 0.756352 + 0.574964i
\(195\) 5.06236 + 3.04592i 0.362523 + 0.218123i
\(196\) −3.49137 + 1.17638i −0.249383 + 0.0840270i
\(197\) −2.99622 2.83817i −0.213472 0.202211i 0.573491 0.819212i \(-0.305589\pi\)
−0.786962 + 0.617001i \(0.788347\pi\)
\(198\) 0.405330 2.47241i 0.0288056 0.175706i
\(199\) 25.3953 + 2.76190i 1.80022 + 0.195786i 0.946010 0.324137i \(-0.105074\pi\)
0.854213 + 0.519923i \(0.174039\pi\)
\(200\) 0.751415 0.452111i 0.0531331 0.0319691i
\(201\) −6.50586 + 7.65929i −0.458888 + 0.540245i
\(202\) 3.16015 1.46204i 0.222347 0.102869i
\(203\) −2.94249 1.36134i −0.206522 0.0955473i
\(204\) 0.529417 + 0.623278i 0.0370666 + 0.0436382i
\(205\) 13.0081 + 4.38293i 0.908523 + 0.306117i
\(206\) −7.68785 14.5008i −0.535638 1.01032i
\(207\) −2.67093 5.03790i −0.185642 0.350158i
\(208\) 2.30950 + 0.778162i 0.160135 + 0.0539558i
\(209\) −10.2217 12.0339i −0.707051 0.832405i
\(210\) −7.19167 3.32722i −0.496273 0.229600i
\(211\) −23.1539 + 10.7121i −1.59398 + 0.737454i −0.997857 0.0654385i \(-0.979155\pi\)
−0.596124 + 0.802892i \(0.703293\pi\)
\(212\) 5.01300 5.90176i 0.344295 0.405335i
\(213\) 3.62645 2.18197i 0.248481 0.149506i
\(214\) 19.2627 + 2.09494i 1.31677 + 0.143207i
\(215\) 0.132118 0.805884i 0.00901037 0.0549608i
\(216\) −0.725995 0.687699i −0.0493977 0.0467920i
\(217\) −6.64943 + 2.24045i −0.451392 + 0.152092i
\(218\) −1.98088 1.19185i −0.134162 0.0807225i
\(219\) −3.23027 2.45559i −0.218281 0.165933i
\(220\) 2.24812 5.64234i 0.151568 0.380407i
\(221\) −1.11844 + 1.64957i −0.0752341 + 0.110962i
\(222\) 0.333072 + 2.03165i 0.0223544 + 0.136356i
\(223\) 0.955256 + 17.6187i 0.0639687 + 1.17983i 0.837632 + 0.546235i \(0.183940\pi\)
−0.773663 + 0.633597i \(0.781578\pi\)
\(224\) −3.19225 0.702668i −0.213291 0.0469490i
\(225\) −0.324590 0.814660i −0.0216393 0.0543106i
\(226\) −1.83456 + 6.60750i −0.122033 + 0.439524i
\(227\) −0.857402 + 15.8139i −0.0569078 + 1.04960i 0.821047 + 0.570860i \(0.193390\pi\)
−0.877955 + 0.478743i \(0.841093\pi\)
\(228\) −6.26510 + 0.681371i −0.414916 + 0.0451249i
\(229\) −4.50068 + 3.42133i −0.297414 + 0.226088i −0.743229 0.669037i \(-0.766707\pi\)
0.445816 + 0.895125i \(0.352914\pi\)
\(230\) −3.69814 13.3195i −0.243848 0.878261i
\(231\) −7.99791 + 1.76047i −0.526224 + 0.115831i
\(232\) −0.556632 0.820971i −0.0365447 0.0538994i
\(233\) −15.0396 + 14.2462i −0.985275 + 0.933302i −0.997778 0.0666200i \(-0.978778\pi\)
0.0125037 + 0.999922i \(0.496020\pi\)
\(234\) 1.14155 2.15318i 0.0746252 0.140758i
\(235\) −20.1946 −1.31735
\(236\) 5.61680 + 5.23943i 0.365622 + 0.341058i
\(237\) 5.82844 0.378598
\(238\) 1.25208 2.36166i 0.0811600 0.153084i
\(239\) 11.7631 11.1426i 0.760891 0.720754i −0.205267 0.978706i \(-0.565806\pi\)
0.966158 + 0.257952i \(0.0830477\pi\)
\(240\) −1.36045 2.00652i −0.0878168 0.129520i
\(241\) 28.1756 6.20193i 1.81495 0.399501i 0.828028 0.560687i \(-0.189463\pi\)
0.986924 + 0.161185i \(0.0515317\pi\)
\(242\) 1.26351 + 4.55076i 0.0812217 + 0.292534i
\(243\) −0.796093 + 0.605174i −0.0510694 + 0.0388219i
\(244\) 4.67196 0.508107i 0.299092 0.0325282i
\(245\) −0.483539 + 8.91835i −0.0308922 + 0.569772i
\(246\) 1.51481 5.45584i 0.0965806 0.347852i
\(247\) −5.68478 14.2677i −0.361714 0.907834i
\(248\) −2.09647 0.461468i −0.133126 0.0293033i
\(249\) 0.630848 + 11.6353i 0.0399783 + 0.737357i
\(250\) 1.61706 + 9.86361i 0.102272 + 0.623829i
\(251\) 2.89772 4.27382i 0.182902 0.269761i −0.725174 0.688566i \(-0.758241\pi\)
0.908076 + 0.418805i \(0.137551\pi\)
\(252\) −1.20986 + 3.03652i −0.0762141 + 0.191283i
\(253\) −11.3731 8.64563i −0.715023 0.543546i
\(254\) −14.2631 8.58184i −0.894948 0.538473i
\(255\) 1.87871 0.633011i 0.117649 0.0396407i
\(256\) −0.725995 0.687699i −0.0453747 0.0429812i
\(257\) 1.69368 10.3310i 0.105649 0.644429i −0.879916 0.475130i \(-0.842401\pi\)
0.985565 0.169300i \(-0.0541506\pi\)
\(258\) −0.334890 0.0364215i −0.0208494 0.00226750i
\(259\) 5.76618 3.46940i 0.358293 0.215578i
\(260\) 3.82479 4.50290i 0.237204 0.279258i
\(261\) −0.900209 + 0.416481i −0.0557215 + 0.0257795i
\(262\) −5.13042 2.37359i −0.316958 0.146641i
\(263\) −2.94058 3.46191i −0.181324 0.213471i 0.663989 0.747742i \(-0.268862\pi\)
−0.845313 + 0.534271i \(0.820586\pi\)
\(264\) −2.37426 0.799982i −0.146126 0.0492355i
\(265\) −8.79296 16.5853i −0.540147 1.01883i
\(266\) 9.64889 + 18.1997i 0.591612 + 1.11590i
\(267\) 15.8913 + 5.35440i 0.972531 + 0.327684i
\(268\) 6.50586 + 7.65929i 0.397409 + 0.467866i
\(269\) −11.7075 5.41648i −0.713821 0.330249i 0.0291476 0.999575i \(-0.490721\pi\)
−0.742968 + 0.669326i \(0.766583\pi\)
\(270\) −2.20018 + 1.01791i −0.133899 + 0.0619482i
\(271\) 10.6122 12.4936i 0.644645 0.758935i −0.338658 0.940909i \(-0.609973\pi\)
0.983303 + 0.181975i \(0.0582489\pi\)
\(272\) 0.700717 0.421608i 0.0424872 0.0255637i
\(273\) −7.91930 0.861276i −0.479298 0.0521268i
\(274\) −2.72582 + 16.6268i −0.164673 + 1.00446i
\(275\) −1.59509 1.51095i −0.0961873 0.0911135i
\(276\) −5.40364 + 1.82070i −0.325261 + 0.109593i
\(277\) 15.8093 + 9.51213i 0.949888 + 0.571528i 0.904053 0.427421i \(-0.140578\pi\)
0.0458348 + 0.998949i \(0.485405\pi\)
\(278\) 7.30742 + 5.55496i 0.438270 + 0.333164i
\(279\) −0.794561 + 1.99420i −0.0475691 + 0.119389i
\(280\) −4.44687 + 6.55865i −0.265752 + 0.391954i
\(281\) 2.40168 + 14.6496i 0.143272 + 0.873921i 0.956448 + 0.291903i \(0.0942883\pi\)
−0.813176 + 0.582018i \(0.802263\pi\)
\(282\) 0.450993 + 8.31808i 0.0268562 + 0.495334i
\(283\) −17.1966 3.78526i −1.02223 0.225010i −0.327936 0.944700i \(-0.606353\pi\)
−0.694296 + 0.719690i \(0.744284\pi\)
\(284\) −1.56653 3.93168i −0.0929562 0.233303i
\(285\) −4.08721 + 14.7208i −0.242105 + 0.871985i
\(286\) 0.330565 6.09692i 0.0195467 0.360518i
\(287\) −18.3995 + 2.00106i −1.08609 + 0.118119i
\(288\) −0.796093 + 0.605174i −0.0469102 + 0.0356602i
\(289\) −4.36907 15.7360i −0.257004 0.925645i
\(290\) −2.34835 + 0.516910i −0.137900 + 0.0303540i
\(291\) −7.42623 10.9529i −0.435333 0.642069i
\(292\) −2.94584 + 2.79045i −0.172392 + 0.163299i
\(293\) 1.16153 2.19088i 0.0678573 0.127993i −0.847263 0.531174i \(-0.821751\pi\)
0.915120 + 0.403182i \(0.132096\pi\)
\(294\) 3.68422 0.214868
\(295\) 16.8395 7.94802i 0.980433 0.462752i
\(296\) 2.05877 0.119664
\(297\) −1.17356 + 2.21356i −0.0680966 + 0.128444i
\(298\) −2.26417 + 2.14473i −0.131160 + 0.124241i
\(299\) −7.79855 11.5020i −0.451002 0.665178i
\(300\) −0.856440 + 0.188517i −0.0494466 + 0.0108840i
\(301\) 0.294576 + 1.06097i 0.0169791 + 0.0611531i
\(302\) −15.3239 + 11.6489i −0.881789 + 0.670318i
\(303\) −3.46156 + 0.376467i −0.198861 + 0.0216275i
\(304\) −0.341186 + 6.29280i −0.0195683 + 0.360917i
\(305\) 3.04788 10.9775i 0.174521 0.628569i
\(306\) −0.302690 0.759695i −0.0173036 0.0434289i
\(307\) −16.0295 3.52835i −0.914851 0.201374i −0.267493 0.963560i \(-0.586195\pi\)
−0.647358 + 0.762186i \(0.724126\pi\)
\(308\) 0.443364 + 8.17736i 0.0252630 + 0.465948i
\(309\) 2.65528 + 16.1965i 0.151054 + 0.921386i
\(310\) −2.92043 + 4.30731i −0.165869 + 0.244639i
\(311\) −4.50325 + 11.3023i −0.255356 + 0.640895i −0.999636 0.0269726i \(-0.991413\pi\)
0.744280 + 0.667867i \(0.232793\pi\)
\(312\) −1.94014 1.47485i −0.109839 0.0834972i
\(313\) −26.3493 15.8539i −1.48935 0.896113i −0.999707 0.0241909i \(-0.992299\pi\)
−0.489644 0.871922i \(-0.662873\pi\)
\(314\) −7.81619 + 2.63358i −0.441093 + 0.148622i
\(315\) 5.75282 + 5.44937i 0.324135 + 0.307037i
\(316\) 0.942936 5.75165i 0.0530443 0.323556i
\(317\) 7.71057 + 0.838575i 0.433069 + 0.0470991i 0.322058 0.946720i \(-0.395626\pi\)
0.111011 + 0.993819i \(0.464591\pi\)
\(318\) −6.63503 + 3.99217i −0.372074 + 0.223870i
\(319\) −1.60880 + 1.89403i −0.0900757 + 0.106045i
\(320\) −2.20018 + 1.01791i −0.122994 + 0.0569030i
\(321\) −17.5854 8.13587i −0.981521 0.454100i
\(322\) 12.0662 + 14.2055i 0.672426 + 0.791641i
\(323\) −4.88388 1.64557i −0.271746 0.0915620i
\(324\) 0.468408 + 0.883512i 0.0260227 + 0.0490840i
\(325\) −1.00107 1.88822i −0.0555294 0.104740i
\(326\) −23.1258 7.79200i −1.28082 0.431559i
\(327\) 1.49662 + 1.76196i 0.0827635 + 0.0974367i
\(328\) −5.13890 2.37751i −0.283748 0.131276i
\(329\) 24.7124 11.4332i 1.36244 0.630331i
\(330\) −3.93204 + 4.62916i −0.216452 + 0.254827i
\(331\) −4.06394 + 2.44519i −0.223375 + 0.134400i −0.622843 0.782347i \(-0.714022\pi\)
0.399468 + 0.916747i \(0.369195\pi\)
\(332\) 11.5841 + 1.25984i 0.635759 + 0.0691430i
\(333\) 0.333072 2.03165i 0.0182523 0.111334i
\(334\) 13.8591 + 13.1281i 0.758338 + 0.718336i
\(335\) 23.0869 7.77890i 1.26137 0.425007i
\(336\) 2.80079 + 1.68518i 0.152795 + 0.0919339i
\(337\) −13.6313 10.3623i −0.742545 0.564468i 0.164059 0.986451i \(-0.447541\pi\)
−0.906604 + 0.421982i \(0.861334\pi\)
\(338\) −2.61342 + 6.55920i −0.142151 + 0.356773i
\(339\) 3.84831 5.67584i 0.209012 0.308269i
\(340\) −0.320730 1.95637i −0.0173941 0.106099i
\(341\) 0.291173 + 5.37038i 0.0157679 + 0.290822i
\(342\) 6.15470 + 1.35475i 0.332808 + 0.0732566i
\(343\) 4.01163 + 10.0684i 0.216608 + 0.543644i
\(344\) −0.0901209 + 0.324586i −0.00485899 + 0.0175005i
\(345\) −0.748381 + 13.8031i −0.0402915 + 0.743132i
\(346\) −8.52594 + 0.927252i −0.458358 + 0.0498494i
\(347\) 3.35824 2.55286i 0.180280 0.137045i −0.511143 0.859496i \(-0.670778\pi\)
0.691422 + 0.722451i \(0.256984\pi\)
\(348\) 0.265357 + 0.955729i 0.0142246 + 0.0512324i
\(349\) 6.11075 1.34508i 0.327101 0.0720003i −0.0483842 0.998829i \(-0.515407\pi\)
0.375485 + 0.926828i \(0.377476\pi\)
\(350\) 1.60861 + 2.37252i 0.0859838 + 0.126817i
\(351\) −1.76931 + 1.67597i −0.0944385 + 0.0894569i
\(352\) −1.17356 + 2.21356i −0.0625507 + 0.117983i
\(353\) −36.2578 −1.92981 −0.964904 0.262601i \(-0.915420\pi\)
−0.964904 + 0.262601i \(0.915420\pi\)
\(354\) −3.64982 6.75861i −0.193986 0.359216i
\(355\) −10.2601 −0.544547
\(356\) 7.85479 14.8157i 0.416303 0.785230i
\(357\) −1.94062 + 1.83825i −0.102708 + 0.0972905i
\(358\) 12.3389 + 18.1985i 0.652130 + 0.961819i
\(359\) −14.3635 + 3.16165i −0.758078 + 0.166866i −0.577158 0.816632i \(-0.695838\pi\)
−0.180920 + 0.983498i \(0.557907\pi\)
\(360\) 0.648553 + 2.33588i 0.0341817 + 0.123112i
\(361\) 16.4917 12.5366i 0.867982 0.659823i
\(362\) 13.7040 1.49040i 0.720267 0.0783337i
\(363\) 0.255693 4.71599i 0.0134204 0.247525i
\(364\) −2.13113 + 7.67564i −0.111702 + 0.402313i
\(365\) 3.64095 + 9.13809i 0.190576 + 0.478310i
\(366\) −4.58964 1.01026i −0.239904 0.0528069i
\(367\) 1.41983 + 26.1872i 0.0741146 + 1.36696i 0.765015 + 0.644013i \(0.222732\pi\)
−0.690900 + 0.722950i \(0.742786\pi\)
\(368\) 0.922502 + 5.62702i 0.0480888 + 0.293328i
\(369\) −3.17757 + 4.68657i −0.165418 + 0.243973i
\(370\) 1.84734 4.63649i 0.0960389 0.241039i
\(371\) 20.1498 + 15.3175i 1.04612 + 0.795242i
\(372\) 1.83938 + 1.10672i 0.0953675 + 0.0573807i
\(373\) 6.24153 2.10302i 0.323174 0.108890i −0.153038 0.988220i \(-0.548906\pi\)
0.476213 + 0.879330i \(0.342009\pi\)
\(374\) −1.48747 1.40900i −0.0769151 0.0728578i
\(375\) 1.61706 9.86361i 0.0835045 0.509355i
\(376\) 8.28146 + 0.900663i 0.427084 + 0.0464482i
\(377\) −2.07127 + 1.24624i −0.106676 + 0.0641849i
\(378\) 2.11609 2.49126i 0.108840 0.128137i
\(379\) 10.8971 5.04154i 0.559747 0.258967i −0.119552 0.992828i \(-0.538146\pi\)
0.679299 + 0.733861i \(0.262284\pi\)
\(380\) 13.8656 + 6.41493i 0.711292 + 0.329079i
\(381\) 10.7763 + 12.6868i 0.552087 + 0.649967i
\(382\) 1.16793 + 0.393520i 0.0597563 + 0.0201342i
\(383\) 0.0703707 + 0.132733i 0.00359578 + 0.00678235i 0.885303 0.465014i \(-0.153951\pi\)
−0.881708 + 0.471796i \(0.843606\pi\)
\(384\) 0.468408 + 0.883512i 0.0239034 + 0.0450865i
\(385\) 18.8138 + 6.33909i 0.958838 + 0.323070i
\(386\) −13.8518 16.3076i −0.705039 0.830036i
\(387\) 0.305730 + 0.141446i 0.0155411 + 0.00719010i
\(388\) −12.0100 + 5.55642i −0.609716 + 0.282085i
\(389\) 3.17913 3.74276i 0.161188 0.189766i −0.675639 0.737233i \(-0.736132\pi\)
0.836827 + 0.547467i \(0.184408\pi\)
\(390\) −5.06236 + 3.04592i −0.256343 + 0.154236i
\(391\) −4.63573 0.504166i −0.234439 0.0254968i
\(392\) 0.596041 3.63569i 0.0301046 0.183630i
\(393\) 4.10397 + 3.88749i 0.207018 + 0.196098i
\(394\) 3.91101 1.31777i 0.197034 0.0663884i
\(395\) −12.1070 7.28453i −0.609169 0.366525i
\(396\) 1.99454 + 1.51621i 0.100229 + 0.0761924i
\(397\) −10.8402 + 27.2069i −0.544056 + 1.36548i 0.357945 + 0.933743i \(0.383478\pi\)
−0.902001 + 0.431734i \(0.857902\pi\)
\(398\) −14.3355 + 21.1433i −0.718575 + 1.05982i
\(399\) −3.33260 20.3280i −0.166839 1.01767i
\(400\) 0.0474767 + 0.875657i 0.00237384 + 0.0437828i
\(401\) 8.35855 + 1.83986i 0.417406 + 0.0918781i 0.418708 0.908121i \(-0.362483\pi\)
−0.00130141 + 0.999999i \(0.500414\pi\)
\(402\) −3.71968 9.33568i −0.185521 0.465622i
\(403\) −1.39959 + 5.04088i −0.0697187 + 0.251104i
\(404\) −0.188510 + 3.47686i −0.00937873 + 0.172980i
\(405\) 2.41003 0.262107i 0.119755 0.0130242i
\(406\) 2.58105 1.96206i 0.128095 0.0973754i
\(407\) −1.37993 4.97006i −0.0684006 0.246357i
\(408\) −0.798657 + 0.175798i −0.0395394 + 0.00870328i
\(409\) −3.10452 4.57882i −0.153508 0.226408i 0.743157 0.669117i \(-0.233328\pi\)
−0.896665 + 0.442709i \(0.854017\pi\)
\(410\) −9.96546 + 9.43978i −0.492159 + 0.466198i
\(411\) 7.89209 14.8861i 0.389288 0.734275i
\(412\) 16.4127 0.808596
\(413\) −16.1069 + 19.2597i −0.792569 + 0.947709i
\(414\) 5.70213 0.280245
\(415\) 13.2317 24.9576i 0.649518 1.22512i
\(416\) −1.76931 + 1.67597i −0.0867473 + 0.0821714i
\(417\) −5.15119 7.59744i −0.252255 0.372048i
\(418\) 15.4201 3.39421i 0.754220 0.166016i
\(419\) 1.38305 + 4.98129i 0.0675663 + 0.243352i 0.989620 0.143711i \(-0.0459035\pi\)
−0.922053 + 0.387063i \(0.873490\pi\)
\(420\) 6.30828 4.79543i 0.307813 0.233993i
\(421\) 6.15328 0.669210i 0.299893 0.0326153i 0.0430643 0.999072i \(-0.486288\pi\)
0.256828 + 0.966457i \(0.417322\pi\)
\(422\) 1.38118 25.4744i 0.0672349 1.24007i
\(423\) 2.22859 8.02665i 0.108358 0.390269i
\(424\) 2.86615 + 7.19349i 0.139192 + 0.349347i
\(425\) −0.700376 0.154165i −0.0339732 0.00747808i
\(426\) 0.229131 + 4.22607i 0.0111014 + 0.204754i
\(427\) 2.48516 + 15.1588i 0.120265 + 0.733586i
\(428\) −10.8737 + 16.0375i −0.525600 + 0.775202i
\(429\) −2.26002 + 5.67221i −0.109115 + 0.273857i
\(430\) 0.650123 + 0.494211i 0.0313517 + 0.0238329i
\(431\) 17.7147 + 10.6586i 0.853287 + 0.513406i 0.873745 0.486385i \(-0.161685\pi\)
−0.0204573 + 0.999791i \(0.506512\pi\)
\(432\) 0.947653 0.319302i 0.0455940 0.0153624i
\(433\) −18.2780 17.3138i −0.878383 0.832049i 0.108398 0.994108i \(-0.465428\pi\)
−0.986781 + 0.162059i \(0.948187\pi\)
\(434\) 1.13518 6.92429i 0.0544904 0.332377i
\(435\) 2.39047 + 0.259979i 0.114614 + 0.0124650i
\(436\) 1.98088 1.19185i 0.0948668 0.0570795i
\(437\) 23.2639 27.3884i 1.11286 1.31016i
\(438\) 3.68263 1.70376i 0.175963 0.0814090i
\(439\) −34.1066 15.7794i −1.62782 0.753109i −0.628130 0.778108i \(-0.716179\pi\)
−0.999687 + 0.0249999i \(0.992041\pi\)
\(440\) 3.93204 + 4.62916i 0.187453 + 0.220686i
\(441\) −3.49137 1.17638i −0.166256 0.0560180i
\(442\) −0.933529 1.76082i −0.0444034 0.0837538i
\(443\) 15.6389 + 29.4982i 0.743029 + 1.40150i 0.909606 + 0.415472i \(0.136384\pi\)
−0.166577 + 0.986028i \(0.553272\pi\)
\(444\) −1.95100 0.657369i −0.0925905 0.0311974i
\(445\) −26.3178 30.9837i −1.24758 1.46877i
\(446\) −16.0137 7.40875i −0.758273 0.350814i
\(447\) 2.83046 1.30951i 0.133876 0.0619377i
\(448\) 2.11609 2.49126i 0.0999760 0.117701i
\(449\) −18.0040 + 10.8327i −0.849662 + 0.511225i −0.872557 0.488513i \(-0.837539\pi\)
0.0228945 + 0.999738i \(0.492712\pi\)
\(450\) 0.871802 + 0.0948142i 0.0410972 + 0.00446958i
\(451\) −2.29507 + 13.9993i −0.108071 + 0.659203i
\(452\) −4.97848 4.71587i −0.234168 0.221816i
\(453\) 18.2412 6.14618i 0.857047 0.288773i
\(454\) −13.5701 8.16487i −0.636877 0.383196i
\(455\) 15.3738 + 11.6868i 0.720733 + 0.547887i
\(456\) 2.33263 5.85445i 0.109235 0.274160i
\(457\) −12.1446 + 17.9119i −0.568099 + 0.837883i −0.997882 0.0650493i \(-0.979280\pi\)
0.429784 + 0.902932i \(0.358590\pi\)
\(458\) −0.914629 5.57899i −0.0427378 0.260689i
\(459\) 0.0442735 + 0.816577i 0.00206651 + 0.0381145i
\(460\) 13.5002 + 2.97161i 0.629448 + 0.138552i
\(461\) −6.16634 15.4764i −0.287195 0.720806i −0.999815 0.0192547i \(-0.993871\pi\)
0.712619 0.701551i \(-0.247509\pi\)
\(462\) 2.19089 7.89087i 0.101929 0.367116i
\(463\) −0.0785894 + 1.44950i −0.00365236 + 0.0673638i −0.999791 0.0204262i \(-0.993498\pi\)
0.996139 + 0.0877900i \(0.0279804\pi\)
\(464\) 0.986068 0.107241i 0.0457771 0.00497856i
\(465\) 4.14288 3.14934i 0.192122 0.146047i
\(466\) −5.54206 19.9607i −0.256731 0.924661i
\(467\) −16.2884 + 3.58535i −0.753738 + 0.165910i −0.575189 0.818021i \(-0.695071\pi\)
−0.178549 + 0.983931i \(0.557140\pi\)
\(468\) 1.36765 + 2.01714i 0.0632199 + 0.0932423i
\(469\) −23.8477 + 22.5898i −1.10119 + 1.04310i
\(470\) 9.45934 17.8422i 0.436327 0.822999i
\(471\) 8.24794 0.380045
\(472\) −7.26005 + 2.50832i −0.334171 + 0.115455i
\(473\) 0.843985 0.0388065
\(474\) −2.73009 + 5.14949i −0.125397 + 0.236524i
\(475\) 4.01224 3.80059i 0.184094 0.174383i
\(476\) 1.50008 + 2.21245i 0.0687559 + 0.101407i
\(477\) 7.56241 1.66461i 0.346259 0.0762174i
\(478\) 4.33468 + 15.6121i 0.198264 + 0.714081i
\(479\) 14.5136 11.0330i 0.663144 0.504109i −0.218614 0.975812i \(-0.570153\pi\)
0.881758 + 0.471702i \(0.156360\pi\)
\(480\) 2.41003 0.262107i 0.110002 0.0119635i
\(481\) 0.271636 5.01002i 0.0123855 0.228437i
\(482\) −7.71823 + 27.7985i −0.351556 + 1.26619i
\(483\) −6.89879 17.3146i −0.313906 0.787844i
\(484\) −4.61250 1.01529i −0.209659 0.0461494i
\(485\) 1.73678 + 32.0331i 0.0788633 + 1.45455i
\(486\) −0.161782 0.986827i −0.00733858 0.0447634i
\(487\) 10.0524 14.8262i 0.455518 0.671839i −0.528698 0.848810i \(-0.677320\pi\)
0.984216 + 0.176971i \(0.0566299\pi\)
\(488\) −1.73947 + 4.36574i −0.0787421 + 0.197628i
\(489\) 19.4273 + 14.7682i 0.878531 + 0.667842i
\(490\) −7.65297 4.60464i −0.345726 0.208016i
\(491\) 22.4770 7.57340i 1.01437 0.341783i 0.237466 0.971396i \(-0.423683\pi\)
0.776909 + 0.629613i \(0.216787\pi\)
\(492\) 4.11075 + 3.89391i 0.185327 + 0.175551i
\(493\) −0.131228 + 0.800452i −0.00591019 + 0.0360506i
\(494\) 15.2685 + 1.66055i 0.686963 + 0.0747117i
\(495\) 5.20431 3.13133i 0.233916 0.140743i
\(496\) 1.38972 1.63610i 0.0624002 0.0734632i
\(497\) 12.5553 5.80871i 0.563183 0.260556i
\(498\) −10.5754 4.89271i −0.473896 0.219248i
\(499\) −12.9027 15.1902i −0.577604 0.680008i 0.393319 0.919402i \(-0.371327\pi\)
−0.970922 + 0.239395i \(0.923051\pi\)
\(500\) −9.47206 3.19151i −0.423603 0.142729i
\(501\) −8.94184 16.8661i −0.399492 0.753522i
\(502\) 2.41865 + 4.56206i 0.107950 + 0.203615i
\(503\) −9.08069 3.05964i −0.404888 0.136423i 0.109487 0.993988i \(-0.465079\pi\)
−0.514374 + 0.857566i \(0.671976\pi\)
\(504\) −2.11609 2.49126i −0.0942583 0.110969i
\(505\) 7.66096 + 3.54434i 0.340908 + 0.157721i
\(506\) 12.9658 5.99861i 0.576400 0.266671i
\(507\) 4.57098 5.38137i 0.203004 0.238995i
\(508\) 14.2631 8.58184i 0.632824 0.380758i
\(509\) −5.83509 0.634604i −0.258636 0.0281283i −0.0221175 0.999755i \(-0.507041\pi\)
−0.236518 + 0.971627i \(0.576006\pi\)
\(510\) −0.320730 + 1.95637i −0.0142022 + 0.0866295i
\(511\) −9.62898 9.12106i −0.425961 0.403492i
\(512\) 0.947653 0.319302i 0.0418807 0.0141113i
\(513\) −5.39995 3.24904i −0.238414 0.143449i
\(514\) 8.33422 + 6.33551i 0.367607 + 0.279447i
\(515\) 14.7272 36.9624i 0.648957 1.62876i
\(516\) 0.189044 0.278819i 0.00832221 0.0122743i
\(517\) −3.37652 20.5959i −0.148499 0.905805i
\(518\) 0.364325 + 6.71959i 0.0160075 + 0.295242i
\(519\) 8.37571 + 1.84363i 0.367653 + 0.0809265i
\(520\) 2.18680 + 5.48845i 0.0958974 + 0.240684i
\(521\) −8.53782 + 30.7505i −0.374049 + 1.34720i 0.501953 + 0.864895i \(0.332615\pi\)
−0.876002 + 0.482307i \(0.839799\pi\)
\(522\) 0.0536995 0.990428i 0.00235036 0.0433499i
\(523\) −26.6595 + 2.89940i −1.16574 + 0.126782i −0.670455 0.741950i \(-0.733901\pi\)
−0.495283 + 0.868732i \(0.664936\pi\)
\(524\) 4.50022 3.42098i 0.196593 0.149446i
\(525\) −0.766854 2.76196i −0.0334682 0.120542i
\(526\) 4.43603 0.976445i 0.193420 0.0425750i
\(527\) 0.985156 + 1.45300i 0.0429141 + 0.0632935i
\(528\) 1.81892 1.72297i 0.0791582 0.0749826i
\(529\) 4.45659 8.40601i 0.193765 0.365479i
\(530\) 18.7720 0.815403
\(531\) 1.30073 + 7.57021i 0.0564467 + 0.328519i
\(532\) −20.5993 −0.893094
\(533\) −6.46370 + 12.1918i −0.279974 + 0.528087i
\(534\) −12.1743 + 11.5321i −0.526833 + 0.499043i
\(535\) 26.3605 + 38.8788i 1.13966 + 1.68088i
\(536\) −9.81448 + 2.16033i −0.423921 + 0.0933120i
\(537\) −5.88217 21.1857i −0.253834 0.914229i
\(538\) 10.2694 7.80662i 0.442747 0.336567i
\(539\) −9.17638 + 0.997992i −0.395255 + 0.0429866i
\(540\) 0.131246 2.42069i 0.00564792 0.104170i
\(541\) 6.86924 24.7408i 0.295332 1.06369i −0.655808 0.754927i \(-0.727672\pi\)
0.951140 0.308761i \(-0.0999142\pi\)
\(542\) 6.06744 + 15.2281i 0.260619 + 0.654104i
\(543\) −13.4625 2.96333i −0.577733 0.127169i
\(544\) 0.0442735 + 0.816577i 0.00189821 + 0.0350104i
\(545\) −0.906682 5.53051i −0.0388380 0.236901i
\(546\) 4.47042 6.59337i 0.191316 0.282170i
\(547\) 9.94900 24.9701i 0.425389 1.06764i −0.547590 0.836747i \(-0.684454\pi\)
0.972978 0.230898i \(-0.0741662\pi\)
\(548\) −13.4132 10.1964i −0.572982 0.435570i
\(549\) 4.02681 + 2.42285i 0.171860 + 0.103405i
\(550\) 2.08209 0.701538i 0.0887807 0.0299137i
\(551\) −4.53812 4.29873i −0.193330 0.183132i
\(552\) 0.922502 5.62702i 0.0392643 0.239502i
\(553\) 18.9396 + 2.05980i 0.805392 + 0.0875917i
\(554\) −15.8093 + 9.51213i −0.671672 + 0.404132i
\(555\) −3.23108 + 3.80392i −0.137152 + 0.161467i
\(556\) −8.33073 + 3.85420i −0.353302 + 0.163455i
\(557\) −3.90005 1.80435i −0.165250 0.0764529i 0.335520 0.942033i \(-0.391088\pi\)
−0.500771 + 0.865580i \(0.666950\pi\)
\(558\) −1.38972 1.63610i −0.0588315 0.0692617i
\(559\) 0.777990 + 0.262135i 0.0329055 + 0.0110871i
\(560\) −3.71169 7.00099i −0.156848 0.295846i
\(561\) 0.959706 + 1.81020i 0.0405188 + 0.0764266i
\(562\) −14.0680 4.74008i −0.593425 0.199948i
\(563\) −0.522610 0.615264i −0.0220254 0.0259303i 0.751039 0.660258i \(-0.229553\pi\)
−0.773064 + 0.634327i \(0.781277\pi\)
\(564\) −7.56037 3.49780i −0.318349 0.147284i
\(565\) −15.0876 + 6.98029i −0.634742 + 0.293663i
\(566\) 11.3994 13.4204i 0.479151 0.564100i
\(567\) −2.80079 + 1.68518i −0.117622 + 0.0707708i
\(568\) 4.20746 + 0.457589i 0.176541 + 0.0192000i
\(569\) −0.397197 + 2.42279i −0.0166513 + 0.101569i −0.993845 0.110783i \(-0.964664\pi\)
0.977193 + 0.212352i \(0.0681123\pi\)
\(570\) −11.0915 10.5064i −0.464573 0.440067i
\(571\) 33.8369 11.4010i 1.41603 0.477116i 0.495779 0.868449i \(-0.334882\pi\)
0.920249 + 0.391333i \(0.127986\pi\)
\(572\) 5.23186 + 3.14791i 0.218755 + 0.131621i
\(573\) −0.981137 0.745841i −0.0409876 0.0311580i
\(574\) 6.85051 17.1935i 0.285935 0.717642i
\(575\) 2.80618 4.13881i 0.117026 0.172600i
\(576\) −0.161782 0.986827i −0.00674092 0.0411178i
\(577\) −0.411999 7.59887i −0.0171517 0.316345i −0.994502 0.104717i \(-0.966606\pi\)
0.977350 0.211628i \(-0.0678765\pi\)
\(578\) 15.9494 + 3.51073i 0.663409 + 0.146027i
\(579\) 7.91967 + 19.8769i 0.329130 + 0.826054i
\(580\) 0.643289 2.31692i 0.0267111 0.0962047i
\(581\) −2.06203 + 38.0320i −0.0855476 + 1.57783i
\(582\) 13.1555 1.43075i 0.545313 0.0593064i
\(583\) 15.4446 11.7407i 0.639651 0.486250i
\(584\) −1.08554 3.90975i −0.0449199 0.161787i
\(585\) 5.76993 1.27006i 0.238557 0.0525104i
\(586\) 1.39160 + 2.05245i 0.0574864 + 0.0847860i
\(587\) −27.7602 + 26.2959i −1.14579 + 1.08535i −0.150478 + 0.988613i \(0.548081\pi\)
−0.995310 + 0.0967345i \(0.969160\pi\)
\(588\) −1.72572 + 3.25506i −0.0711675 + 0.134236i
\(589\) −13.5283 −0.557426
\(590\) −0.865590 + 18.6008i −0.0356358 + 0.765784i
\(591\) −4.12705 −0.169764
\(592\) −0.964347 + 1.81895i −0.0396344 + 0.0747584i
\(593\) 24.4613 23.1710i 1.00451 0.951519i 0.00568121 0.999984i \(-0.498192\pi\)
0.998825 + 0.0484652i \(0.0154330\pi\)
\(594\) −1.40600 2.07370i −0.0576891 0.0850850i
\(595\) 6.32860 1.39303i 0.259447 0.0571086i
\(596\) −0.834342 3.00503i −0.0341760 0.123091i
\(597\) 20.3362 15.4592i 0.832306 0.632702i
\(598\) 13.8151 1.50248i 0.564940 0.0614409i
\(599\) 0.653482 12.0528i 0.0267005 0.492462i −0.954348 0.298698i \(-0.903448\pi\)
0.981048 0.193764i \(-0.0620697\pi\)
\(600\) 0.234607 0.844978i 0.00957779 0.0344961i
\(601\) 1.89651 + 4.75989i 0.0773604 + 0.194160i 0.962570 0.271032i \(-0.0873648\pi\)
−0.885210 + 0.465191i \(0.845985\pi\)
\(602\) −1.07536 0.236704i −0.0438283 0.00964734i
\(603\) 0.544065 + 10.0347i 0.0221560 + 0.408644i
\(604\) −3.11411 18.9952i −0.126711 0.772906i
\(605\) −6.42530 + 9.47661i −0.261226 + 0.385279i
\(606\) 1.28881 3.23467i 0.0523543 0.131399i
\(607\) −15.8314 12.0348i −0.642579 0.488476i 0.232411 0.972618i \(-0.425339\pi\)
−0.874989 + 0.484142i \(0.839132\pi\)
\(608\) −5.39995 3.24904i −0.218997 0.131766i
\(609\) −3.07243 + 1.03522i −0.124501 + 0.0419493i
\(610\) 8.27108 + 7.83479i 0.334886 + 0.317221i
\(611\) 3.28442 20.0341i 0.132874 0.810493i
\(612\) 0.812982 + 0.0884171i 0.0328629 + 0.00357405i
\(613\) 1.30218 0.783493i 0.0525944 0.0316450i −0.489014 0.872276i \(-0.662643\pi\)
0.541608 + 0.840631i \(0.317816\pi\)
\(614\) 10.6257 12.5095i 0.428818 0.504843i
\(615\) 12.4579 5.76365i 0.502352 0.232413i
\(616\) −7.43247 3.43863i −0.299463 0.138546i
\(617\) 17.2322 + 20.2874i 0.693743 + 0.816738i 0.990398 0.138247i \(-0.0441468\pi\)
−0.296654 + 0.954985i \(0.595871\pi\)
\(618\) −15.5535 5.24060i −0.625655 0.210808i
\(619\) 8.64398 + 16.3043i 0.347431 + 0.655324i 0.994222 0.107343i \(-0.0342342\pi\)
−0.646791 + 0.762667i \(0.723889\pi\)
\(620\) −2.43761 4.59781i −0.0978967 0.184653i
\(621\) −5.40364 1.82070i −0.216841 0.0730622i
\(622\) −7.87636 9.27277i −0.315813 0.371804i
\(623\) 49.7467 + 23.0153i 1.99306 + 0.922087i
\(624\) 2.21183 1.02330i 0.0885440 0.0409648i
\(625\) −18.5254 + 21.8098i −0.741016 + 0.872392i
\(626\) 26.3493 15.8539i 1.05313 0.633648i
\(627\) −15.6967 1.70711i −0.626864 0.0681756i
\(628\) 1.33437 8.13929i 0.0532471 0.324793i
\(629\) −1.22230 1.15782i −0.0487362 0.0461653i
\(630\) −7.50925 + 2.53016i −0.299176 + 0.100804i
\(631\) 40.6418 + 24.4534i 1.61792 + 0.973472i 0.978914 + 0.204274i \(0.0654834\pi\)
0.639010 + 0.769198i \(0.279344\pi\)
\(632\) 4.63998 + 3.52722i 0.184568 + 0.140305i
\(633\) −9.44290 + 23.6999i −0.375322 + 0.941986i
\(634\) −4.35259 + 6.41959i −0.172863 + 0.254954i
\(635\) −6.52848 39.8220i −0.259075 1.58029i
\(636\) −0.419222 7.73210i −0.0166232 0.306598i
\(637\) −8.76881 1.93016i −0.347433 0.0764758i
\(638\) −0.919821 2.30858i −0.0364161 0.0913974i
\(639\) 1.13225 4.07801i 0.0447912 0.161323i
\(640\) 0.131246 2.42069i 0.00518794 0.0956860i
\(641\) −5.18822 + 0.564253i −0.204922 + 0.0222866i −0.210004 0.977700i \(-0.567348\pi\)
0.00508212 + 0.999987i \(0.498382\pi\)
\(642\) 15.4253 11.7260i 0.608788 0.462788i
\(643\) −7.28581 26.2411i −0.287324 1.03485i −0.956497 0.291742i \(-0.905765\pi\)
0.669173 0.743107i \(-0.266649\pi\)
\(644\) −18.2027 + 4.00671i −0.717285 + 0.157886i
\(645\) −0.458289 0.675925i −0.0180451 0.0266145i
\(646\) 3.74153 3.54417i 0.147209 0.139443i
\(647\) −11.2250 + 21.1726i −0.441300 + 0.832380i 0.558695 + 0.829373i \(0.311302\pi\)
−0.999995 + 0.00300736i \(0.999043\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 10.9215 + 15.8452i 0.428706 + 0.621977i
\(650\) 2.13718 0.0838269
\(651\) −3.28670 + 6.19936i −0.128816 + 0.242972i
\(652\) 17.7166 16.7821i 0.693838 0.657238i
\(653\) 23.4792 + 34.6292i 0.918813 + 1.35515i 0.934762 + 0.355274i \(0.115613\pi\)
−0.0159494 + 0.999873i \(0.505077\pi\)
\(654\) −2.25774 + 0.496967i −0.0882848 + 0.0194330i
\(655\) −3.66620 13.2044i −0.143250 0.515941i
\(656\) 4.50766 3.42664i 0.175995 0.133788i
\(657\) −4.03387 + 0.438710i −0.157376 + 0.0171157i
\(658\) −1.47415 + 27.1891i −0.0574683 + 1.05994i
\(659\) −6.22641 + 22.4255i −0.242546 + 0.873573i 0.737590 + 0.675249i \(0.235964\pi\)
−0.980136 + 0.198324i \(0.936450\pi\)
\(660\) −2.24812 5.64234i −0.0875078 0.219628i
\(661\) −32.6856 7.19464i −1.27132 0.279839i −0.472460 0.881352i \(-0.656634\pi\)
−0.798863 + 0.601513i \(0.794565\pi\)
\(662\) −0.256773 4.73589i −0.00997975 0.184066i
\(663\) 0.322428 + 1.96673i 0.0125221 + 0.0763813i
\(664\) −6.53917 + 9.64455i −0.253769 + 0.374281i
\(665\) −18.4838 + 46.3910i −0.716773 + 1.79896i
\(666\) 1.63897 + 1.24592i 0.0635090 + 0.0482783i
\(667\) −4.84625 2.91589i −0.187648 0.112904i
\(668\) −18.0905 + 6.09541i −0.699944 + 0.235839i
\(669\) 12.8099 + 12.1341i 0.495258 + 0.469133i
\(670\) −3.94137 + 24.0413i −0.152268 + 0.928796i
\(671\) 11.7052 + 1.27302i 0.451874 + 0.0491442i
\(672\) −2.80079 + 1.68518i −0.108043 + 0.0650071i
\(673\) 27.2484 32.0793i 1.05035 1.23656i 0.0795081 0.996834i \(-0.474665\pi\)
0.970839 0.239731i \(-0.0770591\pi\)
\(674\) 15.5402 7.18967i 0.598586 0.276936i
\(675\) −0.795892 0.368219i −0.0306339 0.0141727i
\(676\) −4.57098 5.38137i −0.175807 0.206976i
\(677\) −40.9695 13.8042i −1.57459 0.530540i −0.609571 0.792731i \(-0.708658\pi\)
−0.965016 + 0.262191i \(0.915555\pi\)
\(678\) 3.21209 + 6.05864i 0.123360 + 0.232681i
\(679\) −20.2608 38.2160i −0.777539 1.46659i
\(680\) 1.87871 + 0.633011i 0.0720452 + 0.0242749i
\(681\) 10.2527 + 12.0704i 0.392885 + 0.462540i
\(682\) −4.88118 2.25828i −0.186910 0.0864738i
\(683\) 3.68386 1.70433i 0.140959 0.0652145i −0.348142 0.937442i \(-0.613187\pi\)
0.489101 + 0.872227i \(0.337325\pi\)
\(684\) −4.07986 + 4.80318i −0.155997 + 0.183654i
\(685\) −34.9987 + 21.0580i −1.33723 + 0.804585i
\(686\) −10.7747 1.17181i −0.411378 0.0447401i
\(687\) −0.914629 + 5.57899i −0.0348953 + 0.212852i
\(688\) −0.244562 0.231662i −0.00932386 0.00883202i
\(689\) 17.8835 6.02566i 0.681308 0.229559i
\(690\) −11.8446 7.12668i −0.450917 0.271308i
\(691\) 28.2762 + 21.4950i 1.07568 + 0.817709i 0.984016 0.178081i \(-0.0569889\pi\)
0.0916622 + 0.995790i \(0.470782\pi\)
\(692\) 3.17439 7.96711i 0.120672 0.302864i
\(693\) −4.59577 + 6.77825i −0.174579 + 0.257484i
\(694\) 0.682461 + 4.16282i 0.0259058 + 0.158019i
\(695\) 1.20472 + 22.2197i 0.0456976 + 0.842842i
\(696\) −0.968693 0.213226i −0.0367182 0.00808229i
\(697\) 1.71390 + 4.30157i 0.0649186 + 0.162933i
\(698\) −1.67393 + 6.02896i −0.0633593 + 0.228200i
\(699\) −1.12153 + 20.6854i −0.0424202 + 0.782394i
\(700\) −2.84964 + 0.309917i −0.107706 + 0.0117137i
\(701\) 32.7884 24.9251i 1.23840 0.941409i 0.238842 0.971058i \(-0.423232\pi\)
0.999560 + 0.0296493i \(0.00943905\pi\)
\(702\) −0.651986 2.34824i −0.0246076 0.0886287i
\(703\) 12.6711 2.78913i 0.477901 0.105194i
\(704\) −1.40600 2.07370i −0.0529908 0.0781556i
\(705\) −14.6612 + 13.8878i −0.552173 + 0.523046i
\(706\) 16.9835 32.0342i 0.639181 1.20562i
\(707\) −11.3814 −0.428042
\(708\) 7.68092 0.0588669i 0.288667 0.00221236i
\(709\) −34.4685 −1.29449 −0.647247 0.762281i \(-0.724080\pi\)
−0.647247 + 0.762281i \(0.724080\pi\)
\(710\) 4.80589 9.06488i 0.180362 0.340199i
\(711\) 4.23142 4.00821i 0.158691 0.150320i
\(712\) 9.41060 + 13.8796i 0.352677 + 0.520160i
\(713\) −11.9544 + 2.63135i −0.447694 + 0.0985450i
\(714\) −0.715115 2.57561i −0.0267625 0.0963898i
\(715\) 11.7839 8.95785i 0.440691 0.335005i
\(716\) −21.8582 + 2.37722i −0.816879 + 0.0888410i
\(717\) 0.877196 16.1789i 0.0327595 0.604213i
\(718\) 3.93464 14.1713i 0.146839 0.528868i
\(719\) 13.4660 + 33.7971i 0.502196 + 1.26042i 0.933619 + 0.358267i \(0.116632\pi\)
−0.431423 + 0.902150i \(0.641988\pi\)
\(720\) −2.36756 0.521140i −0.0882339 0.0194217i
\(721\) 2.90443 + 53.5691i 0.108167 + 1.99502i
\(722\) 3.35143 + 20.4428i 0.124727 + 0.760804i
\(723\) 16.1903 23.8789i 0.602125 0.888067i
\(724\) −5.10229 + 12.8058i −0.189625 + 0.475923i
\(725\) −0.692461 0.526395i −0.0257174 0.0195498i
\(726\) 4.04686 + 2.43492i 0.150193 + 0.0903682i
\(727\) 11.8559 3.99472i 0.439712 0.148156i −0.0907339 0.995875i \(-0.528921\pi\)
0.530445 + 0.847719i \(0.322025\pi\)
\(728\) −5.78328 5.47821i −0.214343 0.203036i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) −9.77907 1.06354i −0.361940 0.0393633i
\(731\) 0.236047 0.142025i 0.00873052 0.00525298i
\(732\) 3.04240 3.58179i 0.112450 0.132387i
\(733\) 9.03113 4.17825i 0.333572 0.154327i −0.245952 0.969282i \(-0.579100\pi\)
0.579524 + 0.814955i \(0.303238\pi\)
\(734\) −23.8018 11.0119i −0.878541 0.406456i
\(735\) 5.78209 + 6.80721i 0.213276 + 0.251088i
\(736\) −5.40364 1.82070i −0.199181 0.0671119i
\(737\) 11.7936 + 22.2450i 0.434421 + 0.819406i
\(738\) −2.65224 5.00265i −0.0976302 0.184150i
\(739\) 26.0919 + 8.79137i 0.959805 + 0.323396i 0.755233 0.655456i \(-0.227523\pi\)
0.204571 + 0.978852i \(0.434420\pi\)
\(740\) 3.23108 + 3.80392i 0.118777 + 0.139835i
\(741\) −13.9390 6.44889i −0.512063 0.236906i
\(742\) −22.9715 + 10.6277i −0.843309 + 0.390156i
\(743\) −15.1753 + 17.8657i −0.556727 + 0.655429i −0.966472 0.256770i \(-0.917342\pi\)
0.409746 + 0.912200i \(0.365617\pi\)
\(744\) −1.83938 + 1.10672i −0.0674350 + 0.0405743i
\(745\) −7.51617 0.817433i −0.275371 0.0299484i
\(746\) −1.06555 + 6.49954i −0.0390124 + 0.237965i
\(747\) 8.45958 + 8.01334i 0.309520 + 0.293193i
\(748\) 1.94161 0.654206i 0.0709924 0.0239201i
\(749\) −54.2687 32.6524i −1.98294 1.19309i
\(750\) 7.95718 + 6.04889i 0.290555 + 0.220874i
\(751\) −9.21188 + 23.1201i −0.336146 + 0.843664i 0.659608 + 0.751610i \(0.270722\pi\)
−0.995754 + 0.0920538i \(0.970657\pi\)
\(752\) −4.67485 + 6.89489i −0.170474 + 0.251431i
\(753\) −0.835370 5.09553i −0.0304426 0.185691i
\(754\) −0.130870 2.41375i −0.00476599 0.0879035i
\(755\) −45.5728 10.0313i −1.65856 0.365078i
\(756\) 1.20986 + 3.03652i 0.0440022 + 0.110437i
\(757\) −0.762796 + 2.74734i −0.0277243 + 0.0998539i −0.976118 0.217242i \(-0.930294\pi\)
0.948393 + 0.317096i \(0.102708\pi\)
\(758\) −0.650037 + 11.9892i −0.0236104 + 0.435468i
\(759\) −14.2024 + 1.54461i −0.515516 + 0.0560657i