Properties

Label 224.2.bd.a.37.5
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.5
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29489 - 0.568565i) q^{2} +(-1.02607 + 1.33720i) q^{3} +(1.35347 + 1.47246i) q^{4} +(-1.35700 + 1.04126i) q^{5} +(2.08893 - 1.14813i) q^{6} +(2.49879 - 0.869520i) q^{7} +(-0.915400 - 2.67620i) q^{8} +(0.0411741 + 0.153664i) q^{9} +O(q^{10})\) \(q+(-1.29489 - 0.568565i) q^{2} +(-1.02607 + 1.33720i) q^{3} +(1.35347 + 1.47246i) q^{4} +(-1.35700 + 1.04126i) q^{5} +(2.08893 - 1.14813i) q^{6} +(2.49879 - 0.869520i) q^{7} +(-0.915400 - 2.67620i) q^{8} +(0.0411741 + 0.153664i) q^{9} +(2.34919 - 0.576775i) q^{10} +(-2.95986 + 0.389673i) q^{11} +(-3.35772 + 0.299013i) q^{12} +(-4.73941 + 1.96313i) q^{13} +(-3.73003 - 0.294793i) q^{14} -2.88298i q^{15} +(-0.336253 + 3.98584i) q^{16} +(-3.38322 + 1.95330i) q^{17} +(0.0340521 - 0.222387i) q^{18} +(0.0265578 - 0.201726i) q^{19} +(-3.36987 - 0.588808i) q^{20} +(-1.40121 + 4.23356i) q^{21} +(4.05424 + 1.17829i) q^{22} +(-0.677747 - 2.52939i) q^{23} +(4.51787 + 1.52189i) q^{24} +(-0.536875 + 2.00364i) q^{25} +(7.25317 + 0.152634i) q^{26} +(-4.91933 - 2.03765i) q^{27} +(4.66236 + 2.50249i) q^{28} +(0.550660 + 1.32941i) q^{29} +(-1.63916 + 3.73314i) q^{30} +(1.63375 + 2.82974i) q^{31} +(2.70162 - 4.97003i) q^{32} +(2.51595 - 4.35775i) q^{33} +(5.49146 - 0.605726i) q^{34} +(-2.48545 + 3.78183i) q^{35} +(-0.170535 + 0.268606i) q^{36} +(-2.57847 + 1.97853i) q^{37} +(-0.149084 + 0.246113i) q^{38} +(2.23787 - 8.35184i) q^{39} +(4.02882 + 2.67843i) q^{40} +(-7.75365 + 7.75365i) q^{41} +(4.22146 - 4.68531i) q^{42} +(4.20735 - 10.1574i) q^{43} +(-4.57985 - 3.83085i) q^{44} +(-0.215877 - 0.165649i) q^{45} +(-0.560515 + 3.66061i) q^{46} +(4.09529 + 2.36442i) q^{47} +(-4.98484 - 4.53938i) q^{48} +(5.48787 - 4.34549i) q^{49} +(1.83439 - 2.28924i) q^{50} +(0.859461 - 6.52825i) q^{51} +(-9.30526 - 4.32155i) q^{52} +(9.39473 - 1.23684i) q^{53} +(5.21144 + 5.43549i) q^{54} +(3.61078 - 3.61078i) q^{55} +(-4.61440 - 5.89129i) q^{56} +(0.242498 + 0.242498i) q^{57} +(0.0428140 - 2.03452i) q^{58} +(0.412720 + 3.13492i) q^{59} +(4.24507 - 3.90202i) q^{60} +(10.8048 + 1.42248i) q^{61} +(-0.506633 - 4.59309i) q^{62} +(0.236499 + 0.348171i) q^{63} +(-6.32408 + 4.89959i) q^{64} +(4.38725 - 7.59894i) q^{65} +(-5.73554 + 4.21232i) q^{66} +(-7.78278 + 10.1427i) q^{67} +(-7.45522 - 2.33791i) q^{68} +(4.07770 + 1.68904i) q^{69} +(5.36860 - 3.48390i) q^{70} +(0.0346489 + 0.0346489i) q^{71} +(0.373544 - 0.250854i) q^{72} +(-4.47988 - 1.20038i) q^{73} +(4.46375 - 1.09595i) q^{74} +(-2.12840 - 2.77378i) q^{75} +(0.332978 - 0.233925i) q^{76} +(-7.05723 + 3.54737i) q^{77} +(-7.64635 + 9.54232i) q^{78} +(7.28192 + 4.20422i) q^{79} +(-3.69401 - 5.75891i) q^{80} +(7.35900 - 4.24872i) q^{81} +(14.4486 - 5.63165i) q^{82} +(5.25480 - 2.17661i) q^{83} +(-8.13022 + 3.66677i) q^{84} +(2.55713 - 6.17345i) q^{85} +(-11.2232 + 10.7606i) q^{86} +(-2.34270 - 0.627724i) q^{87} +(3.75230 + 7.56447i) q^{88} +(2.51830 - 0.674777i) q^{89} +(0.185355 + 0.337237i) q^{90} +(-10.1358 + 9.02645i) q^{91} +(2.80710 - 4.42139i) q^{92} +(-5.46027 - 0.718858i) q^{93} +(-3.95862 - 5.39009i) q^{94} +(0.174011 + 0.301396i) q^{95} +(3.87387 + 8.71220i) q^{96} -4.84621 q^{97} +(-9.57687 + 2.50671i) q^{98} +(-0.181748 - 0.438779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29489 0.568565i −0.915624 0.402036i
\(3\) −1.02607 + 1.33720i −0.592401 + 0.772032i −0.989310 0.145826i \(-0.953416\pi\)
0.396909 + 0.917858i \(0.370083\pi\)
\(4\) 1.35347 + 1.47246i 0.676734 + 0.736228i
\(5\) −1.35700 + 1.04126i −0.606869 + 0.465667i −0.865910 0.500199i \(-0.833260\pi\)
0.259041 + 0.965866i \(0.416593\pi\)
\(6\) 2.08893 1.14813i 0.852801 0.468724i
\(7\) 2.49879 0.869520i 0.944453 0.328648i
\(8\) −0.915400 2.67620i −0.323643 0.946179i
\(9\) 0.0411741 + 0.153664i 0.0137247 + 0.0512212i
\(10\) 2.34919 0.576775i 0.742878 0.182392i
\(11\) −2.95986 + 0.389673i −0.892431 + 0.117491i −0.562775 0.826610i \(-0.690266\pi\)
−0.329656 + 0.944101i \(0.606933\pi\)
\(12\) −3.35772 + 0.299013i −0.969289 + 0.0863178i
\(13\) −4.73941 + 1.96313i −1.31448 + 0.544474i −0.926187 0.377064i \(-0.876934\pi\)
−0.388289 + 0.921538i \(0.626934\pi\)
\(14\) −3.73003 0.294793i −0.996892 0.0787866i
\(15\) 2.88298i 0.744383i
\(16\) −0.336253 + 3.98584i −0.0840633 + 0.996460i
\(17\) −3.38322 + 1.95330i −0.820551 + 0.473745i −0.850606 0.525803i \(-0.823765\pi\)
0.0300556 + 0.999548i \(0.490432\pi\)
\(18\) 0.0340521 0.222387i 0.00802615 0.0524172i
\(19\) 0.0265578 0.201726i 0.00609278 0.0462792i −0.988128 0.153630i \(-0.950904\pi\)
0.994221 + 0.107351i \(0.0342369\pi\)
\(20\) −3.36987 0.588808i −0.753525 0.131661i
\(21\) −1.40121 + 4.23356i −0.305768 + 0.923839i
\(22\) 4.05424 + 1.17829i 0.864367 + 0.251212i
\(23\) −0.677747 2.52939i −0.141320 0.527413i −0.999892 0.0147198i \(-0.995314\pi\)
0.858572 0.512694i \(-0.171352\pi\)
\(24\) 4.51787 + 1.52189i 0.922207 + 0.310655i
\(25\) −0.536875 + 2.00364i −0.107375 + 0.400729i
\(26\) 7.25317 + 0.152634i 1.42246 + 0.0299340i
\(27\) −4.91933 2.03765i −0.946725 0.392146i
\(28\) 4.66236 + 2.50249i 0.881102 + 0.472926i
\(29\) 0.550660 + 1.32941i 0.102255 + 0.246865i 0.966724 0.255820i \(-0.0823455\pi\)
−0.864469 + 0.502685i \(0.832345\pi\)
\(30\) −1.63916 + 3.73314i −0.299269 + 0.681575i
\(31\) 1.63375 + 2.82974i 0.293431 + 0.508237i 0.974619 0.223872i \(-0.0718697\pi\)
−0.681188 + 0.732109i \(0.738536\pi\)
\(32\) 2.70162 4.97003i 0.477584 0.878586i
\(33\) 2.51595 4.35775i 0.437970 0.758587i
\(34\) 5.49146 0.605726i 0.941778 0.103881i
\(35\) −2.48545 + 3.78183i −0.420118 + 0.639246i
\(36\) −0.170535 + 0.268606i −0.0284225 + 0.0447676i
\(37\) −2.57847 + 1.97853i −0.423898 + 0.325268i −0.798584 0.601883i \(-0.794417\pi\)
0.374686 + 0.927152i \(0.377751\pi\)
\(38\) −0.149084 + 0.246113i −0.0241846 + 0.0399248i
\(39\) 2.23787 8.35184i 0.358346 1.33736i
\(40\) 4.02882 + 2.67843i 0.637013 + 0.423497i
\(41\) −7.75365 + 7.75365i −1.21092 + 1.21092i −0.240191 + 0.970726i \(0.577210\pi\)
−0.970726 + 0.240191i \(0.922790\pi\)
\(42\) 4.22146 4.68531i 0.651385 0.722959i
\(43\) 4.20735 10.1574i 0.641615 1.54899i −0.182886 0.983134i \(-0.558544\pi\)
0.824501 0.565861i \(-0.191456\pi\)
\(44\) −4.57985 3.83085i −0.690438 0.577523i
\(45\) −0.215877 0.165649i −0.0321811 0.0246934i
\(46\) −0.560515 + 3.66061i −0.0826434 + 0.539728i
\(47\) 4.09529 + 2.36442i 0.597360 + 0.344886i 0.768002 0.640447i \(-0.221251\pi\)
−0.170643 + 0.985333i \(0.554584\pi\)
\(48\) −4.98484 4.53938i −0.719500 0.655204i
\(49\) 5.48787 4.34549i 0.783981 0.620784i
\(50\) 1.83439 2.28924i 0.259422 0.323748i
\(51\) 0.859461 6.52825i 0.120349 0.914138i
\(52\) −9.30526 4.32155i −1.29041 0.599291i
\(53\) 9.39473 1.23684i 1.29047 0.169893i 0.546131 0.837700i \(-0.316100\pi\)
0.744335 + 0.667807i \(0.232767\pi\)
\(54\) 5.21144 + 5.43549i 0.709187 + 0.739676i
\(55\) 3.61078 3.61078i 0.486877 0.486877i
\(56\) −4.61440 5.89129i −0.616625 0.787257i
\(57\) 0.242498 + 0.242498i 0.0321197 + 0.0321197i
\(58\) 0.0428140 2.03452i 0.00562176 0.267146i
\(59\) 0.412720 + 3.13492i 0.0537315 + 0.408131i 0.997082 + 0.0763343i \(0.0243216\pi\)
−0.943351 + 0.331797i \(0.892345\pi\)
\(60\) 4.24507 3.90202i 0.548036 0.503749i
\(61\) 10.8048 + 1.42248i 1.38342 + 0.182130i 0.785219 0.619218i \(-0.212550\pi\)
0.598198 + 0.801348i \(0.295884\pi\)
\(62\) −0.506633 4.59309i −0.0643424 0.583323i
\(63\) 0.236499 + 0.348171i 0.0297961 + 0.0438654i
\(64\) −6.32408 + 4.89959i −0.790511 + 0.612448i
\(65\) 4.38725 7.59894i 0.544171 0.942532i
\(66\) −5.73554 + 4.21232i −0.705996 + 0.518500i
\(67\) −7.78278 + 10.1427i −0.950818 + 1.23913i 0.0201192 + 0.999798i \(0.493595\pi\)
−0.970938 + 0.239333i \(0.923071\pi\)
\(68\) −7.45522 2.33791i −0.904079 0.283513i
\(69\) 4.07770 + 1.68904i 0.490898 + 0.203337i
\(70\) 5.36860 3.48390i 0.641671 0.416406i
\(71\) 0.0346489 + 0.0346489i 0.00411207 + 0.00411207i 0.709160 0.705048i \(-0.249074\pi\)
−0.705048 + 0.709160i \(0.749074\pi\)
\(72\) 0.373544 0.250854i 0.0440226 0.0295634i
\(73\) −4.47988 1.20038i −0.524330 0.140494i −0.0130612 0.999915i \(-0.504158\pi\)
−0.511269 + 0.859421i \(0.670824\pi\)
\(74\) 4.46375 1.09595i 0.518901 0.127401i
\(75\) −2.12840 2.77378i −0.245766 0.320289i
\(76\) 0.332978 0.233925i 0.0381953 0.0268330i
\(77\) −7.05723 + 3.54737i −0.804246 + 0.404260i
\(78\) −7.64635 + 9.54232i −0.865779 + 1.08045i
\(79\) 7.28192 + 4.20422i 0.819280 + 0.473012i 0.850168 0.526511i \(-0.176500\pi\)
−0.0308880 + 0.999523i \(0.509834\pi\)
\(80\) −3.69401 5.75891i −0.413003 0.643866i
\(81\) 7.35900 4.24872i 0.817666 0.472080i
\(82\) 14.4486 5.63165i 1.59558 0.621911i
\(83\) 5.25480 2.17661i 0.576790 0.238914i −0.0751663 0.997171i \(-0.523949\pi\)
0.651956 + 0.758257i \(0.273949\pi\)
\(84\) −8.13022 + 3.66677i −0.887079 + 0.400078i
\(85\) 2.55713 6.17345i 0.277359 0.669604i
\(86\) −11.2232 + 10.7606i −1.21023 + 1.16034i
\(87\) −2.34270 0.627724i −0.251164 0.0672991i
\(88\) 3.75230 + 7.56447i 0.399996 + 0.806375i
\(89\) 2.51830 0.674777i 0.266940 0.0715262i −0.122867 0.992423i \(-0.539209\pi\)
0.389806 + 0.920897i \(0.372542\pi\)
\(90\) 0.185355 + 0.337237i 0.0195381 + 0.0355479i
\(91\) −10.1358 + 9.02645i −1.06252 + 0.946229i
\(92\) 2.80710 4.42139i 0.292661 0.460962i
\(93\) −5.46027 0.718858i −0.566204 0.0745421i
\(94\) −3.95862 5.39009i −0.408300 0.555946i
\(95\) 0.174011 + 0.301396i 0.0178532 + 0.0309226i
\(96\) 3.87387 + 8.71220i 0.395376 + 0.889185i
\(97\) −4.84621 −0.492058 −0.246029 0.969263i \(-0.579126\pi\)
−0.246029 + 0.969263i \(0.579126\pi\)
\(98\) −9.57687 + 2.50671i −0.967410 + 0.253216i
\(99\) −0.181748 0.438779i −0.0182664 0.0440989i
\(100\) −3.67692 + 1.92134i −0.367692 + 0.192134i
\(101\) 2.31619 + 17.5932i 0.230469 + 1.75059i 0.580879 + 0.813990i \(0.302709\pi\)
−0.350410 + 0.936596i \(0.613958\pi\)
\(102\) −4.82464 + 7.96469i −0.477711 + 0.788622i
\(103\) −10.4784 + 2.80769i −1.03247 + 0.276650i −0.734990 0.678078i \(-0.762813\pi\)
−0.297481 + 0.954728i \(0.596147\pi\)
\(104\) 9.59218 + 10.8866i 0.940591 + 1.06752i
\(105\) −2.50681 7.20396i −0.244640 0.703035i
\(106\) −12.8683 3.73995i −1.24988 0.363256i
\(107\) 6.36344 + 8.29300i 0.615177 + 0.801714i 0.992222 0.124481i \(-0.0397265\pi\)
−0.377045 + 0.926195i \(0.623060\pi\)
\(108\) −3.65779 10.0014i −0.351971 0.962384i
\(109\) 13.1644 + 10.1014i 1.26092 + 0.967539i 0.999998 + 0.00218008i \(0.000693941\pi\)
0.260924 + 0.965359i \(0.415973\pi\)
\(110\) −6.72851 + 2.62259i −0.641539 + 0.250054i
\(111\) 5.47804i 0.519952i
\(112\) 2.62554 + 10.2521i 0.248091 + 0.968737i
\(113\) 6.28314i 0.591068i −0.955332 0.295534i \(-0.904502\pi\)
0.955332 0.295534i \(-0.0954976\pi\)
\(114\) −0.176132 0.451884i −0.0164963 0.0423228i
\(115\) 3.55346 + 2.72666i 0.331362 + 0.254263i
\(116\) −1.21220 + 2.61013i −0.112550 + 0.242345i
\(117\) −0.496802 0.647446i −0.0459294 0.0598564i
\(118\) 1.24798 4.29402i 0.114886 0.395297i
\(119\) −6.75550 + 7.82266i −0.619276 + 0.717102i
\(120\) −7.71544 + 2.63908i −0.704320 + 0.240914i
\(121\) −2.01626 + 0.540254i −0.183296 + 0.0491140i
\(122\) −13.1823 7.98521i −1.19347 0.722947i
\(123\) −2.41239 18.3239i −0.217518 1.65221i
\(124\) −1.95544 + 6.23559i −0.175604 + 0.559973i
\(125\) −4.63060 11.1793i −0.414174 0.999904i
\(126\) −0.108281 0.585307i −0.00964648 0.0521433i
\(127\) 16.0544 1.42459 0.712297 0.701878i \(-0.247655\pi\)
0.712297 + 0.701878i \(0.247655\pi\)
\(128\) 10.9747 2.74876i 0.970037 0.242958i
\(129\) 9.26548 + 16.0483i 0.815780 + 1.41297i
\(130\) −10.0015 + 7.34533i −0.877188 + 0.644228i
\(131\) 12.5642 + 1.65411i 1.09774 + 0.144520i 0.657570 0.753394i \(-0.271584\pi\)
0.440171 + 0.897914i \(0.354918\pi\)
\(132\) 9.82185 2.19345i 0.854882 0.190915i
\(133\) −0.109043 0.527164i −0.00945522 0.0457109i
\(134\) 15.8446 8.70866i 1.36877 0.752314i
\(135\) 8.79726 2.35722i 0.757147 0.202877i
\(136\) 8.32442 + 7.26611i 0.713813 + 0.623064i
\(137\) −20.3390 5.44983i −1.73768 0.465610i −0.755752 0.654857i \(-0.772729\pi\)
−0.981930 + 0.189247i \(0.939395\pi\)
\(138\) −4.31984 4.50556i −0.367729 0.383539i
\(139\) 3.58935 8.66547i 0.304445 0.734995i −0.695421 0.718603i \(-0.744782\pi\)
0.999866 0.0163924i \(-0.00521810\pi\)
\(140\) −8.93256 + 1.45886i −0.754939 + 0.123296i
\(141\) −7.36374 + 3.05016i −0.620139 + 0.256870i
\(142\) −0.0251663 0.0645667i −0.00211191 0.00541831i
\(143\) 13.2630 7.65741i 1.10911 0.640345i
\(144\) −0.626324 + 0.112443i −0.0521937 + 0.00937028i
\(145\) −2.13151 1.23063i −0.177012 0.102198i
\(146\) 5.11844 + 4.10146i 0.423605 + 0.339439i
\(147\) 0.179853 + 11.7971i 0.0148340 + 0.973012i
\(148\) −6.40318 1.11881i −0.526338 0.0919656i
\(149\) −4.56175 5.94499i −0.373713 0.487033i 0.568199 0.822891i \(-0.307640\pi\)
−0.941913 + 0.335858i \(0.890974\pi\)
\(150\) 1.17896 + 4.80187i 0.0962617 + 0.392071i
\(151\) −16.0424 4.29854i −1.30551 0.349810i −0.461979 0.886891i \(-0.652860\pi\)
−0.843531 + 0.537080i \(0.819527\pi\)
\(152\) −0.564171 + 0.113587i −0.0457603 + 0.00921309i
\(153\) −0.439452 0.439452i −0.0355276 0.0355276i
\(154\) 11.1552 0.580946i 0.898914 0.0468139i
\(155\) −5.16351 2.13879i −0.414743 0.171792i
\(156\) 15.3266 8.00878i 1.22711 0.641215i
\(157\) 4.29687 5.59979i 0.342928 0.446912i −0.589770 0.807571i \(-0.700782\pi\)
0.932698 + 0.360659i \(0.117448\pi\)
\(158\) −7.03890 9.58424i −0.559984 0.762481i
\(159\) −7.98574 + 13.8317i −0.633310 + 1.09693i
\(160\) 1.50901 + 9.55743i 0.119298 + 0.755581i
\(161\) −3.89290 5.73108i −0.306803 0.451672i
\(162\) −11.9447 + 1.31754i −0.938468 + 0.103516i
\(163\) −18.2668 2.40487i −1.43077 0.188364i −0.625013 0.780614i \(-0.714906\pi\)
−0.805754 + 0.592250i \(0.798240\pi\)
\(164\) −21.9112 0.922598i −1.71098 0.0720428i
\(165\) 1.12342 + 8.53323i 0.0874582 + 0.664311i
\(166\) −8.04192 0.169232i −0.624174 0.0131350i
\(167\) 6.52823 + 6.52823i 0.505169 + 0.505169i 0.913040 0.407870i \(-0.133728\pi\)
−0.407870 + 0.913040i \(0.633728\pi\)
\(168\) 12.6125 0.125499i 0.973077 0.00968243i
\(169\) 9.41576 9.41576i 0.724290 0.724290i
\(170\) −6.82120 + 6.54003i −0.523162 + 0.501597i
\(171\) 0.0320915 0.00422493i 0.00245410 0.000323088i
\(172\) 20.6509 7.55262i 1.57462 0.575882i
\(173\) 0.525728 3.99330i 0.0399703 0.303605i −0.959769 0.280790i \(-0.909404\pi\)
0.999740 0.0228153i \(-0.00726296\pi\)
\(174\) 2.67663 + 2.14481i 0.202915 + 0.162598i
\(175\) 0.400673 + 5.47350i 0.0302880 + 0.413758i
\(176\) −0.557912 11.9286i −0.0420542 0.899149i
\(177\) −4.61548 2.66475i −0.346921 0.200295i
\(178\) −3.64457 0.558059i −0.273172 0.0418283i
\(179\) 0.179804 + 0.137969i 0.0134392 + 0.0103123i 0.615459 0.788169i \(-0.288971\pi\)
−0.602020 + 0.798481i \(0.705637\pi\)
\(180\) −0.0482728 0.542070i −0.00359804 0.0404035i
\(181\) −3.51154 + 8.47760i −0.261011 + 0.630135i −0.999002 0.0446754i \(-0.985775\pi\)
0.737991 + 0.674810i \(0.235775\pi\)
\(182\) 18.2568 5.92538i 1.35329 0.439218i
\(183\) −12.9886 + 12.9886i −0.960148 + 0.960148i
\(184\) −6.14873 + 4.12919i −0.453290 + 0.304408i
\(185\) 1.43882 5.36973i 0.105784 0.394791i
\(186\) 6.66172 + 4.03536i 0.488461 + 0.295887i
\(187\) 9.25270 7.09985i 0.676625 0.519192i
\(188\) 2.06134 + 9.23030i 0.150339 + 0.673189i
\(189\) −14.0641 0.814204i −1.02301 0.0592246i
\(190\) −0.0539615 0.489211i −0.00391478 0.0354911i
\(191\) 12.7718 22.1214i 0.924135 1.60065i 0.131189 0.991357i \(-0.458120\pi\)
0.792946 0.609292i \(-0.208546\pi\)
\(192\) −0.0627771 13.4839i −0.00453055 0.973114i
\(193\) −2.36124 4.08978i −0.169966 0.294389i 0.768442 0.639919i \(-0.221032\pi\)
−0.938408 + 0.345531i \(0.887699\pi\)
\(194\) 6.27529 + 2.75538i 0.450540 + 0.197825i
\(195\) 5.65967 + 13.6637i 0.405297 + 0.978474i
\(196\) 13.8262 + 2.19917i 0.987585 + 0.157083i
\(197\) 11.8679 + 4.91584i 0.845551 + 0.350239i 0.763040 0.646351i \(-0.223706\pi\)
0.0825113 + 0.996590i \(0.473706\pi\)
\(198\) −0.0141310 + 0.671505i −0.00100425 + 0.0477218i
\(199\) −1.54223 + 5.75569i −0.109326 + 0.408010i −0.998800 0.0489757i \(-0.984404\pi\)
0.889474 + 0.456986i \(0.151071\pi\)
\(200\) 5.85360 0.397352i 0.413912 0.0280971i
\(201\) −5.57716 20.8143i −0.393383 1.46812i
\(202\) 7.00367 24.0981i 0.492776 1.69554i
\(203\) 2.53193 + 2.84310i 0.177707 + 0.199547i
\(204\) 10.7758 7.57026i 0.754458 0.530024i
\(205\) 2.44812 18.5953i 0.170984 1.29875i
\(206\) 15.1648 + 2.32203i 1.05658 + 0.161784i
\(207\) 0.360769 0.208290i 0.0250752 0.0144772i
\(208\) −6.23108 19.5507i −0.432047 1.35559i
\(209\) 0.607431i 0.0420169i
\(210\) −0.849882 + 10.7536i −0.0586475 + 0.742069i
\(211\) −25.9046 + 10.7301i −1.78335 + 0.738687i −0.791515 + 0.611150i \(0.790707\pi\)
−0.991834 + 0.127537i \(0.959293\pi\)
\(212\) 14.5367 + 12.1593i 0.998381 + 0.835105i
\(213\) −0.0818847 + 0.0107803i −0.00561065 + 0.000738656i
\(214\) −3.52483 14.3565i −0.240952 0.981392i
\(215\) 4.86719 + 18.1646i 0.331939 + 1.23882i
\(216\) −0.950009 + 15.0304i −0.0646399 + 1.02269i
\(217\) 6.54292 + 5.65034i 0.444162 + 0.383570i
\(218\) −11.3031 20.5650i −0.765544 1.39284i
\(219\) 6.20181 4.75881i 0.419079 0.321571i
\(220\) 10.2038 + 0.429642i 0.687939 + 0.0289665i
\(221\) 12.1999 15.8992i 0.820653 1.06950i
\(222\) −3.11462 + 7.09344i −0.209040 + 0.476081i
\(223\) −3.82967 −0.256454 −0.128227 0.991745i \(-0.540929\pi\)
−0.128227 + 0.991745i \(0.540929\pi\)
\(224\) 2.42923 14.7682i 0.162310 0.986740i
\(225\) −0.329992 −0.0219995
\(226\) −3.57238 + 8.13596i −0.237631 + 0.541196i
\(227\) −0.357043 + 0.465308i −0.0236978 + 0.0308836i −0.805052 0.593204i \(-0.797863\pi\)
0.781354 + 0.624088i \(0.214529\pi\)
\(228\) −0.0288546 + 0.685281i −0.00191094 + 0.0453839i
\(229\) 4.59828 3.52839i 0.303863 0.233162i −0.445563 0.895251i \(-0.646996\pi\)
0.749426 + 0.662088i \(0.230330\pi\)
\(230\) −3.05104 5.55109i −0.201180 0.366028i
\(231\) 2.49767 13.0768i 0.164334 0.860388i
\(232\) 3.05369 2.69062i 0.200485 0.176648i
\(233\) 5.39037 + 20.1171i 0.353135 + 1.31792i 0.882816 + 0.469719i \(0.155645\pi\)
−0.529681 + 0.848197i \(0.677688\pi\)
\(234\) 0.275188 + 1.12083i 0.0179896 + 0.0732712i
\(235\) −8.01929 + 1.05576i −0.523121 + 0.0688701i
\(236\) −4.05742 + 4.85072i −0.264116 + 0.315755i
\(237\) −13.0936 + 5.42356i −0.850522 + 0.352298i
\(238\) 13.1953 6.28852i 0.855325 0.407624i
\(239\) 20.5655i 1.33027i 0.746723 + 0.665135i \(0.231626\pi\)
−0.746723 + 0.665135i \(0.768374\pi\)
\(240\) 11.4911 + 0.969413i 0.741749 + 0.0625754i
\(241\) 22.1725 12.8013i 1.42825 0.824603i 0.431271 0.902223i \(-0.358065\pi\)
0.996983 + 0.0776197i \(0.0247320\pi\)
\(242\) 2.91799 + 0.446805i 0.187576 + 0.0287217i
\(243\) 0.215561 1.63735i 0.0138283 0.105036i
\(244\) 12.5294 + 17.8349i 0.802115 + 1.14176i
\(245\) −2.92224 + 11.6111i −0.186695 + 0.741809i
\(246\) −7.29458 + 25.0990i −0.465085 + 1.60026i
\(247\) 0.270147 + 1.00820i 0.0171890 + 0.0641503i
\(248\) 6.07742 6.96259i 0.385916 0.442125i
\(249\) −2.48123 + 9.26006i −0.157241 + 0.586833i
\(250\) −0.360032 + 17.1087i −0.0227704 + 1.08205i
\(251\) 9.02332 + 3.73758i 0.569547 + 0.235914i 0.648824 0.760939i \(-0.275261\pi\)
−0.0792769 + 0.996853i \(0.525261\pi\)
\(252\) −0.192573 + 0.819472i −0.0121310 + 0.0516219i
\(253\) 2.99167 + 7.22253i 0.188085 + 0.454076i
\(254\) −20.7886 9.12795i −1.30439 0.572739i
\(255\) 5.63134 + 9.75376i 0.352648 + 0.610804i
\(256\) −15.7739 2.68051i −0.985867 0.167532i
\(257\) −5.22968 + 9.05808i −0.326219 + 0.565027i −0.981758 0.190133i \(-0.939108\pi\)
0.655540 + 0.755161i \(0.272441\pi\)
\(258\) −2.87326 26.0488i −0.178881 1.62172i
\(259\) −4.72268 + 7.18596i −0.293453 + 0.446514i
\(260\) 17.1271 3.82488i 1.06218 0.237209i
\(261\) −0.181609 + 0.139354i −0.0112413 + 0.00862577i
\(262\) −15.3288 9.28546i −0.947015 0.573658i
\(263\) 1.65018 6.15854i 0.101754 0.379752i −0.896203 0.443645i \(-0.853685\pi\)
0.997957 + 0.0638933i \(0.0203517\pi\)
\(264\) −13.9653 2.74409i −0.859505 0.168887i
\(265\) −11.4608 + 11.4608i −0.704030 + 0.704030i
\(266\) −0.158529 + 0.744616i −0.00972002 + 0.0456553i
\(267\) −1.68164 + 4.05984i −0.102915 + 0.248458i
\(268\) −25.4685 + 2.26803i −1.55573 + 0.138542i
\(269\) −16.9987 13.0435i −1.03643 0.795279i −0.0572659 0.998359i \(-0.518238\pi\)
−0.979162 + 0.203080i \(0.934905\pi\)
\(270\) −12.7317 1.94948i −0.774826 0.118642i
\(271\) −21.8781 12.6313i −1.32900 0.767298i −0.343854 0.939023i \(-0.611733\pi\)
−0.985145 + 0.171725i \(0.945066\pi\)
\(272\) −6.64793 14.1418i −0.403090 0.857471i
\(273\) −1.67014 22.8153i −0.101081 1.38085i
\(274\) 23.2382 + 18.6210i 1.40387 + 1.12494i
\(275\) 0.808308 6.13971i 0.0487428 0.370238i
\(276\) 3.03200 + 8.29030i 0.182505 + 0.499018i
\(277\) −2.60913 + 0.343499i −0.156767 + 0.0206388i −0.208501 0.978022i \(-0.566859\pi\)
0.0517339 + 0.998661i \(0.483525\pi\)
\(278\) −9.57469 + 9.18002i −0.574252 + 0.550581i
\(279\) −0.367560 + 0.367560i −0.0220053 + 0.0220053i
\(280\) 12.3961 + 3.18968i 0.740810 + 0.190620i
\(281\) 18.0355 + 18.0355i 1.07591 + 1.07591i 0.996872 + 0.0790354i \(0.0251840\pi\)
0.0790354 + 0.996872i \(0.474816\pi\)
\(282\) 11.2694 + 0.237151i 0.671085 + 0.0141222i
\(283\) −0.135283 1.02758i −0.00804177 0.0610833i 0.986953 0.161006i \(-0.0514738\pi\)
−0.994995 + 0.0999226i \(0.968140\pi\)
\(284\) −0.00412284 + 0.0979152i −0.000244645 + 0.00581020i
\(285\) −0.581574 0.0765657i −0.0344495 0.00453536i
\(286\) −21.5279 + 2.37459i −1.27297 + 0.140412i
\(287\) −12.6328 + 26.1167i −0.745688 + 1.54162i
\(288\) 0.874951 + 0.210505i 0.0515570 + 0.0124041i
\(289\) −0.869228 + 1.50555i −0.0511310 + 0.0885616i
\(290\) 2.06037 + 2.80543i 0.120989 + 0.164740i
\(291\) 4.97254 6.48034i 0.291495 0.379884i
\(292\) −4.29586 8.22110i −0.251396 0.481103i
\(293\) 1.27503 + 0.528136i 0.0744883 + 0.0308540i 0.419616 0.907701i \(-0.362165\pi\)
−0.345128 + 0.938556i \(0.612165\pi\)
\(294\) 6.47455 15.3782i 0.377604 0.896876i
\(295\) −3.82433 3.82433i −0.222661 0.222661i
\(296\) 7.65528 + 5.08936i 0.444954 + 0.295813i
\(297\) 15.3545 + 4.11424i 0.890961 + 0.238732i
\(298\) 2.52684 + 10.2918i 0.146376 + 0.596185i
\(299\) 8.17763 + 10.6573i 0.472925 + 0.616327i
\(300\) 1.20356 6.88820i 0.0694873 0.397690i
\(301\) 1.68117 29.0396i 0.0969010 1.67382i
\(302\) 18.3291 + 14.6873i 1.05472 + 0.845157i
\(303\) −25.9021 14.9546i −1.48804 0.859119i
\(304\) 0.795120 + 0.173686i 0.0456032 + 0.00996160i
\(305\) −16.1433 + 9.32036i −0.924364 + 0.533682i
\(306\) 0.319184 + 0.818899i 0.0182465 + 0.0468133i
\(307\) −0.474191 + 0.196416i −0.0270635 + 0.0112101i −0.396174 0.918175i \(-0.629662\pi\)
0.369111 + 0.929385i \(0.379662\pi\)
\(308\) −14.7751 5.59022i −0.841888 0.318532i
\(309\) 6.99716 16.8926i 0.398054 0.960988i
\(310\) 5.47012 + 5.70529i 0.310682 + 0.324039i
\(311\) −24.9226 6.67799i −1.41323 0.378674i −0.530154 0.847901i \(-0.677866\pi\)
−0.883077 + 0.469227i \(0.844533\pi\)
\(312\) −24.3997 + 1.65629i −1.38136 + 0.0937692i
\(313\) −11.3077 + 3.02990i −0.639152 + 0.171260i −0.563819 0.825898i \(-0.690668\pi\)
−0.0753325 + 0.997158i \(0.524002\pi\)
\(314\) −8.74781 + 4.80805i −0.493668 + 0.271334i
\(315\) −0.683466 0.226211i −0.0385090 0.0127455i
\(316\) 3.66531 + 16.4126i 0.206190 + 0.923280i
\(317\) 4.13170 + 0.543949i 0.232060 + 0.0305512i 0.245659 0.969356i \(-0.420996\pi\)
−0.0135995 + 0.999908i \(0.504329\pi\)
\(318\) 18.2049 13.3701i 1.02088 0.749757i
\(319\) −2.14791 3.72029i −0.120260 0.208296i
\(320\) 3.48002 13.2338i 0.194539 0.739790i
\(321\) −17.6187 −0.983380
\(322\) 1.78237 + 9.63447i 0.0993276 + 0.536908i
\(323\) 0.304182 + 0.734360i 0.0169251 + 0.0408609i
\(324\) 16.2162 + 5.08530i 0.900901 + 0.282517i
\(325\) −1.38894 10.5500i −0.0770445 0.585211i
\(326\) 22.2861 + 13.4999i 1.23432 + 0.747691i
\(327\) −27.0152 + 7.23869i −1.49394 + 0.400301i
\(328\) 27.8480 + 13.6526i 1.53765 + 0.753840i
\(329\) 12.2892 + 2.34724i 0.677524 + 0.129407i
\(330\) 3.39699 11.6883i 0.186998 0.643420i
\(331\) 6.55120 + 8.53769i 0.360087 + 0.469274i 0.937905 0.346891i \(-0.112763\pi\)
−0.577819 + 0.816165i \(0.696096\pi\)
\(332\) 10.3172 + 4.79149i 0.566228 + 0.262967i
\(333\) −0.410195 0.314753i −0.0224785 0.0172484i
\(334\) −4.74160 12.1650i −0.259449 0.665642i
\(335\) 21.8676i 1.19475i
\(336\) −16.4031 7.00853i −0.894865 0.382347i
\(337\) 19.9331i 1.08583i 0.839789 + 0.542914i \(0.182679\pi\)
−0.839789 + 0.542914i \(0.817321\pi\)
\(338\) −17.5458 + 6.83888i −0.954367 + 0.371986i
\(339\) 8.40181 + 6.44693i 0.456323 + 0.350149i
\(340\) 12.5511 4.59030i 0.680680 0.248944i
\(341\) −5.93835 7.73901i −0.321580 0.419091i
\(342\) −0.0439571 0.0127753i −0.00237693 0.000690810i
\(343\) 9.93452 15.6303i 0.536414 0.843955i
\(344\) −31.0347 1.96158i −1.67328 0.105761i
\(345\) −7.29218 + 1.95393i −0.392598 + 0.105196i
\(346\) −2.95121 + 4.87196i −0.158658 + 0.261918i
\(347\) 0.849707 + 6.45416i 0.0456147 + 0.346478i 0.999000 + 0.0447207i \(0.0142398\pi\)
−0.953385 + 0.301757i \(0.902427\pi\)
\(348\) −2.24647 4.29913i −0.120423 0.230457i
\(349\) −11.8235 28.5444i −0.632896 1.52795i −0.835965 0.548782i \(-0.815092\pi\)
0.203069 0.979164i \(-0.434908\pi\)
\(350\) 2.59322 7.31537i 0.138613 0.391023i
\(351\) 27.3149 1.45796
\(352\) −6.05973 + 15.7634i −0.322985 + 0.840190i
\(353\) 17.7117 + 30.6776i 0.942700 + 1.63280i 0.760293 + 0.649580i \(0.225055\pi\)
0.182407 + 0.983223i \(0.441611\pi\)
\(354\) 4.46145 + 6.07476i 0.237123 + 0.322870i
\(355\) −0.0830972 0.0109400i −0.00441034 0.000580633i
\(356\) 4.40202 + 2.79480i 0.233307 + 0.148124i
\(357\) −3.52884 17.0600i −0.186766 0.902913i
\(358\) −0.154382 0.280885i −0.00815935 0.0148452i
\(359\) 0.0897949 0.0240605i 0.00473919 0.00126986i −0.256449 0.966558i \(-0.582552\pi\)
0.261188 + 0.965288i \(0.415886\pi\)
\(360\) −0.245694 + 0.729366i −0.0129492 + 0.0384410i
\(361\) 18.3126 + 4.90685i 0.963821 + 0.258255i
\(362\) 9.36711 8.98100i 0.492325 0.472031i
\(363\) 1.34639 3.25047i 0.0706671 0.170606i
\(364\) −27.0095 2.70751i −1.41568 0.141912i
\(365\) 7.32910 3.03581i 0.383623 0.158902i
\(366\) 24.2037 9.43394i 1.26515 0.493120i
\(367\) 13.7538 7.94078i 0.717944 0.414505i −0.0960515 0.995376i \(-0.530621\pi\)
0.813995 + 0.580871i \(0.197288\pi\)
\(368\) 10.3096 1.85088i 0.537426 0.0964836i
\(369\) −1.51070 0.872205i −0.0786441 0.0454052i
\(370\) −4.91615 + 6.13514i −0.255578 + 0.318951i
\(371\) 22.4000 11.2595i 1.16295 0.584564i
\(372\) −6.33181 9.01296i −0.328289 0.467300i
\(373\) 5.79385 + 7.55069i 0.299994 + 0.390960i 0.918891 0.394513i \(-0.129087\pi\)
−0.618896 + 0.785473i \(0.712420\pi\)
\(374\) −16.0179 + 3.93274i −0.828268 + 0.203357i
\(375\) 19.7002 + 5.27866i 1.01731 + 0.272589i
\(376\) 2.57882 13.1242i 0.132993 0.676829i
\(377\) −5.21961 5.21961i −0.268823 0.268823i
\(378\) 17.7485 + 9.05068i 0.912886 + 0.465517i
\(379\) −15.3134 6.34301i −0.786596 0.325819i −0.0470219 0.998894i \(-0.514973\pi\)
−0.739574 + 0.673075i \(0.764973\pi\)
\(380\) −0.208274 + 0.664154i −0.0106843 + 0.0340704i
\(381\) −16.4729 + 21.4679i −0.843931 + 1.09983i
\(382\) −29.1155 + 21.3831i −1.48968 + 1.09406i
\(383\) −1.83158 + 3.17238i −0.0935892 + 0.162101i −0.909019 0.416755i \(-0.863167\pi\)
0.815430 + 0.578856i \(0.196501\pi\)
\(384\) −7.58517 + 17.4958i −0.387079 + 0.892828i
\(385\) 5.88292 12.1622i 0.299821 0.619843i
\(386\) 0.732228 + 6.63832i 0.0372694 + 0.337882i
\(387\) 1.73406 + 0.228294i 0.0881474 + 0.0116048i
\(388\) −6.55918 7.13582i −0.332992 0.362267i
\(389\) 1.50228 + 11.4109i 0.0761685 + 0.578557i 0.986388 + 0.164432i \(0.0525791\pi\)
−0.910220 + 0.414125i \(0.864088\pi\)
\(390\) 0.440042 20.9108i 0.0222824 1.05886i
\(391\) 7.23362 + 7.23362i 0.365820 + 0.365820i
\(392\) −16.6530 10.7088i −0.841103 0.540875i
\(393\) −15.1036 + 15.1036i −0.761877 + 0.761877i
\(394\) −12.5726 13.1131i −0.633398 0.660629i
\(395\) −14.2593 + 1.87727i −0.717461 + 0.0944556i
\(396\) 0.400092 0.861488i 0.0201054 0.0432914i
\(397\) −1.74445 + 13.2504i −0.0875512 + 0.665017i 0.890248 + 0.455475i \(0.150531\pi\)
−0.977800 + 0.209542i \(0.932803\pi\)
\(398\) 5.26950 6.57611i 0.264136 0.329631i
\(399\) 0.816808 + 0.395094i 0.0408916 + 0.0197795i
\(400\) −7.80568 2.81363i −0.390284 0.140681i
\(401\) 17.8639 + 10.3137i 0.892081 + 0.515043i 0.874623 0.484804i \(-0.161109\pi\)
0.0174587 + 0.999848i \(0.494442\pi\)
\(402\) −4.61246 + 30.1231i −0.230049 + 1.50240i
\(403\) −13.2982 10.2040i −0.662429 0.508300i
\(404\) −22.7703 + 27.2223i −1.13286 + 1.35436i
\(405\) −5.56213 + 13.4282i −0.276384 + 0.667251i
\(406\) −1.66207 5.12106i −0.0824874 0.254154i
\(407\) 6.86094 6.86094i 0.340084 0.340084i
\(408\) −18.2577 + 3.67588i −0.903889 + 0.181983i
\(409\) 6.07058 22.6557i 0.300171 1.12025i −0.636853 0.770986i \(-0.719764\pi\)
0.937023 0.349267i \(-0.113569\pi\)
\(410\) −13.7427 + 22.6869i −0.678702 + 1.12043i
\(411\) 28.1568 21.6054i 1.38887 1.06572i
\(412\) −18.3164 11.6289i −0.902385 0.572916i
\(413\) 3.75717 + 7.47462i 0.184878 + 0.367802i
\(414\) −0.585582 + 0.0645915i −0.0287798 + 0.00317450i
\(415\) −4.86434 + 8.42529i −0.238781 + 0.413581i
\(416\) −3.04728 + 28.8587i −0.149405 + 1.41491i
\(417\) 7.90453 + 13.6910i 0.387086 + 0.670453i
\(418\) 0.345364 0.786555i 0.0168923 0.0384717i
\(419\) 1.93876 + 4.68058i 0.0947145 + 0.228661i 0.964135 0.265411i \(-0.0855078\pi\)
−0.869421 + 0.494072i \(0.835508\pi\)
\(420\) 7.21463 13.4415i 0.352038 0.655878i
\(421\) −10.4446 4.32630i −0.509039 0.210851i 0.113356 0.993554i \(-0.463840\pi\)
−0.622395 + 0.782704i \(0.713840\pi\)
\(422\) 39.6443 + 0.834266i 1.92986 + 0.0406114i
\(423\) −0.194705 + 0.726650i −0.00946690 + 0.0353309i
\(424\) −11.9100 24.0100i −0.578399 1.16603i
\(425\) −2.09736 7.82744i −0.101737 0.379686i
\(426\) 0.112161 + 0.0325975i 0.00543421 + 0.00157935i
\(427\) 28.2358 5.84054i 1.36643 0.282643i
\(428\) −3.59837 + 20.5942i −0.173934 + 0.995458i
\(429\) −3.36929 + 25.5923i −0.162671 + 1.23561i
\(430\) 4.02530 26.2884i 0.194117 1.26774i
\(431\) 0.586865 0.338826i 0.0282683 0.0163207i −0.485799 0.874070i \(-0.661471\pi\)
0.514068 + 0.857750i \(0.328138\pi\)
\(432\) 9.77590 18.9225i 0.470343 0.910409i
\(433\) 19.1529i 0.920431i 0.887807 + 0.460216i \(0.152228\pi\)
−0.887807 + 0.460216i \(0.847772\pi\)
\(434\) −5.25975 11.0366i −0.252476 0.529775i
\(435\) 3.83267 1.58754i 0.183762 0.0761169i
\(436\) 2.94372 + 33.0559i 0.140979 + 1.58309i
\(437\) −0.528244 + 0.0695446i −0.0252693 + 0.00332677i
\(438\) −10.7363 + 2.63600i −0.513002 + 0.125953i
\(439\) −4.46467 16.6624i −0.213087 0.795252i −0.986831 0.161754i \(-0.948285\pi\)
0.773744 0.633498i \(-0.218382\pi\)
\(440\) −12.9685 6.35785i −0.618247 0.303099i
\(441\) 0.893702 + 0.664365i 0.0425572 + 0.0316364i
\(442\) −24.8372 + 13.6512i −1.18138 + 0.649323i
\(443\) 2.32023 1.78037i 0.110237 0.0845881i −0.552172 0.833730i \(-0.686201\pi\)
0.662409 + 0.749142i \(0.269534\pi\)
\(444\) 8.06617 7.41434i 0.382803 0.351869i
\(445\) −2.71472 + 3.53789i −0.128690 + 0.167712i
\(446\) 4.95900 + 2.17742i 0.234815 + 0.103104i
\(447\) 12.6303 0.597393
\(448\) −11.5422 + 17.7419i −0.545320 + 0.838228i
\(449\) −12.0552 −0.568920 −0.284460 0.958688i \(-0.591814\pi\)
−0.284460 + 0.958688i \(0.591814\pi\)
\(450\) 0.427303 + 0.187622i 0.0201433 + 0.00884460i
\(451\) 19.9283 25.9711i 0.938388 1.22293i
\(452\) 9.25165 8.50403i 0.435161 0.399996i
\(453\) 22.2086 17.0412i 1.04345 0.800667i
\(454\) 0.726889 0.399519i 0.0341146 0.0187503i
\(455\) 4.35537 22.8029i 0.204183 1.06902i
\(456\) 0.426991 0.870956i 0.0199957 0.0407863i
\(457\) 8.63689 + 32.2333i 0.404017 + 1.50781i 0.805862 + 0.592103i \(0.201702\pi\)
−0.401846 + 0.915707i \(0.631631\pi\)
\(458\) −7.96038 + 1.95444i −0.371964 + 0.0913250i
\(459\) 20.6233 2.71511i 0.962613 0.126730i
\(460\) 0.794595 + 8.92276i 0.0370482 + 0.416026i
\(461\) 20.2578 8.39105i 0.943499 0.390810i 0.142716 0.989764i \(-0.454417\pi\)
0.800784 + 0.598954i \(0.204417\pi\)
\(462\) −10.6692 + 15.5128i −0.496376 + 0.721723i
\(463\) 1.82580i 0.0848520i 0.999100 + 0.0424260i \(0.0135087\pi\)
−0.999100 + 0.0424260i \(0.986491\pi\)
\(464\) −5.48398 + 1.74782i −0.254587 + 0.0811407i
\(465\) 8.15810 4.71008i 0.378323 0.218425i
\(466\) 4.45798 29.1142i 0.206512 1.34869i
\(467\) −1.42164 + 10.7984i −0.0657854 + 0.499690i 0.926555 + 0.376159i \(0.122755\pi\)
−0.992341 + 0.123531i \(0.960578\pi\)
\(468\) 0.280929 1.60782i 0.0129860 0.0743213i
\(469\) −10.6282 + 32.1118i −0.490765 + 1.48278i
\(470\) 10.9843 + 3.19240i 0.506670 + 0.147254i
\(471\) 3.07915 + 11.4915i 0.141880 + 0.529502i
\(472\) 8.01186 3.97422i 0.368776 0.182928i
\(473\) −8.49508 + 31.7041i −0.390604 + 1.45776i
\(474\) 20.0384 + 0.421684i 0.920395 + 0.0193686i
\(475\) 0.389930 + 0.161514i 0.0178912 + 0.00741078i
\(476\) −20.6619 + 0.640530i −0.947035 + 0.0293587i
\(477\) 0.576877 + 1.39270i 0.0264134 + 0.0637675i
\(478\) 11.6928 26.6300i 0.534817 1.21803i
\(479\) −20.0632 34.7506i −0.916713 1.58779i −0.804374 0.594124i \(-0.797499\pi\)
−0.112339 0.993670i \(-0.535834\pi\)
\(480\) −14.3285 7.78873i −0.654005 0.355505i
\(481\) 8.33633 14.4389i 0.380104 0.658359i
\(482\) −35.9892 + 3.96972i −1.63926 + 0.180816i
\(483\) 11.6580 + 0.674906i 0.530456 + 0.0307093i
\(484\) −3.52444 2.23763i −0.160202 0.101711i
\(485\) 6.57630 5.04617i 0.298614 0.229135i
\(486\) −1.21007 + 1.99762i −0.0548898 + 0.0906140i
\(487\) −10.5905 + 39.5243i −0.479901 + 1.79101i 0.122098 + 0.992518i \(0.461038\pi\)
−0.601999 + 0.798497i \(0.705629\pi\)
\(488\) −6.08390 30.2180i −0.275405 1.36791i
\(489\) 21.9588 21.9588i 0.993011 0.993011i
\(490\) 10.3857 13.3736i 0.469177 0.604159i
\(491\) 2.03820 4.92066i 0.0919829 0.222066i −0.871192 0.490943i \(-0.836652\pi\)
0.963175 + 0.268877i \(0.0866524\pi\)
\(492\) 23.7161 28.3530i 1.06920 1.27825i
\(493\) −4.45974 3.42208i −0.200857 0.154123i
\(494\) 0.223419 1.45910i 0.0100521 0.0656482i
\(495\) 0.703516 + 0.406175i 0.0316207 + 0.0182562i
\(496\) −11.8283 + 5.56037i −0.531105 + 0.249668i
\(497\) 0.116708 + 0.0564524i 0.00523508 + 0.00253223i
\(498\) 8.47786 10.5800i 0.379902 0.474101i
\(499\) 3.00872 22.8535i 0.134689 1.02306i −0.781948 0.623344i \(-0.785774\pi\)
0.916637 0.399721i \(-0.130893\pi\)
\(500\) 10.1936 21.9491i 0.455872 0.981595i
\(501\) −15.4279 + 2.03113i −0.689270 + 0.0907441i
\(502\) −9.55913 9.97010i −0.426645 0.444987i
\(503\) 18.2405 18.2405i 0.813305 0.813305i −0.171822 0.985128i \(-0.554966\pi\)
0.985128 + 0.171822i \(0.0549655\pi\)
\(504\) 0.715284 0.951634i 0.0318613 0.0423891i
\(505\) −21.4622 21.4622i −0.955054 0.955054i
\(506\) 0.232604 11.0533i 0.0103405 0.491380i
\(507\) 2.92953 + 22.2520i 0.130105 + 0.988244i
\(508\) 21.7290 + 23.6393i 0.964071 + 1.04883i
\(509\) 2.77246 + 0.365001i 0.122887 + 0.0161784i 0.191719 0.981450i \(-0.438594\pi\)
−0.0688318 + 0.997628i \(0.521927\pi\)
\(510\) −1.74630 15.8318i −0.0773274 0.701044i
\(511\) −12.2380 + 0.895851i −0.541378 + 0.0396301i
\(512\) 18.9013 + 12.4394i 0.835329 + 0.549750i
\(513\) −0.541695 + 0.938243i −0.0239164 + 0.0414244i
\(514\) 11.9220 8.75578i 0.525855 0.386201i
\(515\) 11.2957 14.7208i 0.497748 0.648678i
\(516\) −11.0899 + 35.3638i −0.488204 + 1.55681i
\(517\) −13.0428 5.40252i −0.573623 0.237603i
\(518\) 10.2010 6.61986i 0.448207 0.290860i
\(519\) 4.80040 + 4.80040i 0.210714 + 0.210714i
\(520\) −24.3524 4.78508i −1.06792 0.209840i
\(521\) −30.5255 8.17927i −1.33734 0.358340i −0.481896 0.876228i \(-0.660052\pi\)
−0.855448 + 0.517888i \(0.826718\pi\)
\(522\) 0.314395 0.0771906i 0.0137607 0.00337854i
\(523\) −9.63848 12.5611i −0.421461 0.549259i 0.533573 0.845754i \(-0.320849\pi\)
−0.955034 + 0.296495i \(0.904182\pi\)
\(524\) 14.5697 + 20.7390i 0.636478 + 0.905989i
\(525\) −7.73027 5.08041i −0.337377 0.221727i
\(526\) −5.63832 + 7.03638i −0.245843 + 0.306801i
\(527\) −11.0547 6.38242i −0.481549 0.278023i
\(528\) 16.5233 + 11.4935i 0.719085 + 0.500190i
\(529\) 13.9801 8.07143i 0.607832 0.350932i
\(530\) 21.3566 8.32421i 0.927672 0.361581i
\(531\) −0.464730 + 0.192497i −0.0201675 + 0.00835367i
\(532\) 0.628640 0.874060i 0.0272550 0.0378953i
\(533\) 21.5263 51.9691i 0.932409 2.25103i
\(534\) 4.48582 4.30091i 0.194120 0.186119i
\(535\) −17.2704 4.62758i −0.746663 0.200068i
\(536\) 34.2683 + 11.5436i 1.48017 + 0.498609i
\(537\) −0.368983 + 0.0988688i −0.0159228 + 0.00426650i
\(538\) 14.5953 + 26.5548i 0.629247 + 1.14486i
\(539\) −14.5500 + 15.0005i −0.626713 + 0.646118i
\(540\) 15.3777 + 9.76316i 0.661751 + 0.420139i
\(541\) 17.9828 + 2.36749i 0.773143 + 0.101786i 0.506767 0.862083i \(-0.330840\pi\)
0.266376 + 0.963869i \(0.414174\pi\)
\(542\) 21.1479 + 28.7953i 0.908382 + 1.23686i
\(543\) −7.73316 13.3942i −0.331862 0.574801i
\(544\) 0.567803 + 22.0918i 0.0243444 + 0.947178i
\(545\) −28.3823 −1.21576
\(546\) −10.8094 + 30.4929i −0.462598 + 1.30497i
\(547\) −12.3752 29.8764i −0.529125 1.27742i −0.932097 0.362209i \(-0.882023\pi\)
0.402971 0.915213i \(-0.367977\pi\)
\(548\) −19.5036 37.3245i −0.833152 1.59442i
\(549\) 0.226295 + 1.71888i 0.00965803 + 0.0733600i
\(550\) −4.53749 + 7.49066i −0.193479 + 0.319403i
\(551\) 0.282801 0.0757764i 0.0120477 0.00322818i
\(552\) 0.787477 12.4589i 0.0335172 0.530286i
\(553\) 21.8516 + 4.17367i 0.929225 + 0.177483i
\(554\) 3.57383 + 1.03867i 0.151838 + 0.0441288i
\(555\) 5.70407 + 7.43369i 0.242124 + 0.315543i
\(556\) 17.6176 6.44326i 0.747152 0.273255i
\(557\) 11.8963 + 9.12837i 0.504063 + 0.386782i 0.829258 0.558866i \(-0.188763\pi\)
−0.325195 + 0.945647i \(0.605430\pi\)
\(558\) 0.684932 0.266967i 0.0289955 0.0113016i
\(559\) 56.3998i 2.38546i
\(560\) −14.2380 11.1783i −0.601667 0.472369i
\(561\) 19.6576i 0.829946i
\(562\) −13.0996 33.6083i −0.552572 1.41768i
\(563\) 7.93045 + 6.08525i 0.334229 + 0.256463i 0.762217 0.647322i \(-0.224111\pi\)
−0.427988 + 0.903784i \(0.640778\pi\)
\(564\) −14.4578 6.71449i −0.608784 0.282731i
\(565\) 6.54240 + 8.52622i 0.275241 + 0.358701i
\(566\) −0.409069 + 1.40752i −0.0171945 + 0.0591624i
\(567\) 14.6942 17.0154i 0.617099 0.714581i
\(568\) 0.0610098 0.124445i 0.00255991 0.00522160i
\(569\) −9.22576 + 2.47204i −0.386764 + 0.103633i −0.446961 0.894553i \(-0.647494\pi\)
0.0601970 + 0.998187i \(0.480827\pi\)
\(570\) 0.709541 + 0.429807i 0.0297194 + 0.0180026i
\(571\) −0.842901 6.40247i −0.0352743 0.267935i −0.999989 0.00463834i \(-0.998524\pi\)
0.964715 0.263297i \(-0.0848098\pi\)
\(572\) 29.2263 + 9.16516i 1.22201 + 0.383215i
\(573\) 16.4760 + 39.7765i 0.688294 + 1.66169i
\(574\) 31.2070 26.6356i 1.30256 1.11175i
\(575\) 5.43185 0.226524
\(576\) −1.01328 0.770046i −0.0422199 0.0320853i
\(577\) 3.59288 + 6.22305i 0.149573 + 0.259069i 0.931070 0.364841i \(-0.118877\pi\)
−0.781496 + 0.623910i \(0.785543\pi\)
\(578\) 1.98155 1.45530i 0.0824218 0.0605325i
\(579\) 7.89164 + 1.03895i 0.327965 + 0.0431775i
\(580\) −1.07288 4.80417i −0.0445490 0.199482i
\(581\) 11.2380 10.0080i 0.466232 0.415204i
\(582\) −10.1234 + 5.56410i −0.419627 + 0.230639i
\(583\) −27.3251 + 7.32175i −1.13169 + 0.303236i
\(584\) 0.888426 + 13.0879i 0.0367633 + 0.541580i
\(585\) 1.34832 + 0.361282i 0.0557462 + 0.0149372i
\(586\) −1.35075 1.40882i −0.0557988 0.0581977i
\(587\) 11.5128 27.7943i 0.475183 1.14719i −0.486660 0.873591i \(-0.661785\pi\)
0.961843 0.273602i \(-0.0882150\pi\)
\(588\) −17.1273 + 16.2319i −0.706320 + 0.669391i
\(589\) 0.614223 0.254419i 0.0253086 0.0104832i
\(590\) 2.77770 + 7.12646i 0.114356 + 0.293392i
\(591\) −18.7507 + 10.8257i −0.771301 + 0.445311i
\(592\) −7.01909 10.9427i −0.288483 0.449741i
\(593\) −27.9904 16.1603i −1.14943 0.663623i −0.200680 0.979657i \(-0.564315\pi\)
−0.948748 + 0.316034i \(0.897649\pi\)
\(594\) −17.5432 14.0575i −0.719806 0.576787i
\(595\) 1.02177 17.6496i 0.0418887 0.723563i
\(596\) 2.57956 14.7633i 0.105663 0.604730i
\(597\) −6.11406 7.96800i −0.250232 0.326109i
\(598\) −4.52974 18.4495i −0.185235 0.754457i
\(599\) −3.82008 1.02359i −0.156084 0.0418226i 0.179931 0.983679i \(-0.442413\pi\)
−0.336015 + 0.941857i \(0.609079\pi\)
\(600\) −5.47486 + 8.23514i −0.223510 + 0.336198i
\(601\) 7.20540 + 7.20540i 0.293914 + 0.293914i 0.838624 0.544710i \(-0.183360\pi\)
−0.544710 + 0.838624i \(0.683360\pi\)
\(602\) −18.6879 + 36.6472i −0.761660 + 1.49363i
\(603\) −1.87902 0.778314i −0.0765195 0.0316954i
\(604\) −15.3834 29.4396i −0.625942 1.19788i
\(605\) 2.17351 2.83258i 0.0883659 0.115161i
\(606\) 25.0377 + 34.0916i 1.01709 + 1.38488i
\(607\) −8.90416 + 15.4225i −0.361409 + 0.625978i −0.988193 0.153215i \(-0.951037\pi\)
0.626784 + 0.779193i \(0.284371\pi\)
\(608\) −0.930838 0.676982i −0.0377505 0.0274552i
\(609\) −6.39972 + 0.468475i −0.259330 + 0.0189836i
\(610\) 26.2030 2.89028i 1.06093 0.117024i
\(611\) −24.0509 3.16636i −0.972996 0.128097i
\(612\) 0.0522899 1.24186i 0.00211370 0.0501992i
\(613\) −0.134739 1.02344i −0.00544205 0.0413365i 0.988508 0.151166i \(-0.0483028\pi\)
−0.993950 + 0.109830i \(0.964969\pi\)
\(614\) 0.725699 + 0.0152715i 0.0292868 + 0.000616306i
\(615\) 22.3536 + 22.3536i 0.901386 + 0.901386i
\(616\) 15.9537 + 15.6393i 0.642791 + 0.630125i
\(617\) −22.0671 + 22.0671i −0.888389 + 0.888389i −0.994368 0.105979i \(-0.966202\pi\)
0.105979 + 0.994368i \(0.466202\pi\)
\(618\) −18.6651 + 17.8957i −0.750820 + 0.719871i
\(619\) −39.5799 + 5.21080i −1.59085 + 0.209440i −0.873342 0.487108i \(-0.838052\pi\)
−0.717511 + 0.696548i \(0.754718\pi\)
\(620\) −3.83936 10.4978i −0.154192 0.421603i
\(621\) −1.81995 + 13.8239i −0.0730321 + 0.554734i
\(622\) 28.4751 + 22.8174i 1.14175 + 0.914893i
\(623\) 5.70597 3.87584i 0.228605 0.155282i
\(624\) 32.5366 + 11.7281i 1.30251 + 0.469501i
\(625\) 8.94220 + 5.16278i 0.357688 + 0.206511i
\(626\) 16.3650 + 2.50581i 0.654075 + 0.100152i
\(627\) −0.812256 0.623266i −0.0324384 0.0248908i
\(628\) 14.0611 1.25218i 0.561100 0.0499674i
\(629\) 4.85886 11.7303i 0.193736 0.467719i
\(630\) 0.756397 + 0.681513i 0.0301356 + 0.0271521i
\(631\) 12.4408 12.4408i 0.495260 0.495260i −0.414699 0.909959i \(-0.636113\pi\)
0.909959 + 0.414699i \(0.136113\pi\)
\(632\) 4.58545 23.3364i 0.182400 0.928273i
\(633\) 12.2317 45.6494i 0.486167 1.81440i
\(634\) −5.04082 3.05350i −0.200197 0.121270i
\(635\) −21.7858 + 16.7168i −0.864542 + 0.663386i
\(636\) −31.1750 + 6.96211i −1.23617 + 0.276065i
\(637\) −17.4785 + 31.3685i −0.692524 + 1.24286i
\(638\) 0.666075 + 6.03858i 0.0263702 + 0.239070i
\(639\) −0.00389765 + 0.00675092i −0.000154189 + 0.000267062i
\(640\) −12.0305 + 15.1576i −0.475547 + 0.599158i
\(641\) −11.5394 19.9868i −0.455777 0.789429i 0.542955 0.839762i \(-0.317305\pi\)
−0.998733 + 0.0503323i \(0.983972\pi\)
\(642\) 22.8142 + 10.0174i 0.900406 + 0.395355i
\(643\) 3.37883 + 8.15722i 0.133248 + 0.321689i 0.976395 0.215995i \(-0.0692993\pi\)
−0.843146 + 0.537684i \(0.819299\pi\)
\(644\) 3.16986 13.4889i 0.124910 0.531539i
\(645\) −29.2837 12.1297i −1.15305 0.477607i
\(646\) 0.0236503 1.12386i 0.000930507 0.0442177i
\(647\) 4.61131 17.2096i 0.181289 0.676581i −0.814105 0.580717i \(-0.802772\pi\)
0.995395 0.0958633i \(-0.0305612\pi\)
\(648\) −18.1068 15.8049i −0.711304 0.620874i
\(649\) −2.44318 9.11809i −0.0959034 0.357916i
\(650\) −4.19987 + 14.4508i −0.164732 + 0.566808i
\(651\) −14.2691 + 2.95154i −0.559250 + 0.115680i
\(652\) −21.1825 30.1520i −0.829569 1.18084i
\(653\) −3.27619 + 24.8851i −0.128207 + 0.973830i 0.799538 + 0.600616i \(0.205078\pi\)
−0.927745 + 0.373214i \(0.878256\pi\)
\(654\) 39.0973 + 5.98659i 1.52882 + 0.234094i
\(655\) −18.7720 + 10.8380i −0.733483 + 0.423477i
\(656\) −28.2976 33.5120i −1.10484 1.30842i
\(657\) 0.737819i 0.0287851i
\(658\) −14.5785 10.0266i −0.568330 0.390878i
\(659\) −17.3158 + 7.17244i −0.674528 + 0.279399i −0.693537 0.720421i \(-0.743949\pi\)
0.0190095 + 0.999819i \(0.493949\pi\)
\(660\) −11.0443 + 13.2036i −0.429899 + 0.513951i
\(661\) −10.2351 + 1.34747i −0.398098 + 0.0524106i −0.326918 0.945053i \(-0.606010\pi\)
−0.0711804 + 0.997463i \(0.522677\pi\)
\(662\) −3.62883 14.7801i −0.141039 0.574446i
\(663\) 8.74246 + 32.6273i 0.339529 + 1.26714i
\(664\) −10.6353 12.0704i −0.412729 0.468423i
\(665\) 0.696887 + 0.601819i 0.0270241 + 0.0233375i
\(666\) 0.352198 + 0.640792i 0.0136474 + 0.0248302i
\(667\) 2.98938 2.29383i 0.115749 0.0888176i
\(668\) −0.776787 + 18.4483i −0.0300548 + 0.713785i
\(669\) 3.92951 5.12103i 0.151924 0.197991i
\(670\) −12.4332 + 28.3161i −0.480335 + 1.09395i
\(671\) −32.5351 −1.25600
\(672\) 17.2554 + 18.4015i 0.665642 + 0.709854i
\(673\) 3.94144 0.151931 0.0759656 0.997110i \(-0.475796\pi\)
0.0759656 + 0.997110i \(0.475796\pi\)
\(674\) 11.3333 25.8112i 0.436542 0.994209i
\(675\) 6.72379 8.76261i 0.258799 0.337273i
\(676\) 26.6082 + 1.12037i 1.02339 + 0.0430912i
\(677\) −25.0804 + 19.2448i −0.963916 + 0.739639i −0.965512 0.260360i \(-0.916159\pi\)
0.00159528 + 0.999999i \(0.499492\pi\)
\(678\) −7.21389 13.1250i −0.277048 0.504064i
\(679\) −12.1096 + 4.21387i −0.464725 + 0.161714i
\(680\) −18.8622 1.19220i −0.723331 0.0457188i
\(681\) −0.255858 0.954875i −0.00980450 0.0365909i
\(682\) 3.28937 + 13.3975i 0.125956 + 0.513017i
\(683\) −31.5699 + 4.15625i −1.20799 + 0.159035i −0.707503 0.706711i \(-0.750178\pi\)
−0.500485 + 0.865745i \(0.666845\pi\)
\(684\) 0.0496559 + 0.0415351i 0.00189864 + 0.00158813i
\(685\) 33.2748 13.7829i 1.27136 0.526616i
\(686\) −21.7509 + 14.5910i −0.830454 + 0.557087i
\(687\) 9.76918i 0.372718i
\(688\) 39.0712 + 20.1853i 1.48958 + 0.769557i
\(689\) −42.0974 + 24.3050i −1.60378 + 0.925945i
\(690\) 10.5535 + 1.61596i 0.401765 + 0.0615184i
\(691\) −0.665763 + 5.05697i −0.0253268 + 0.192376i −0.999431 0.0337223i \(-0.989264\pi\)
0.974104 + 0.226099i \(0.0725972\pi\)
\(692\) 6.59151 4.63069i 0.250572 0.176032i
\(693\) −0.835676 0.938381i −0.0317447 0.0356461i
\(694\) 2.56934 8.84053i 0.0975308 0.335582i
\(695\) 4.15227 + 15.4965i 0.157505 + 0.587816i
\(696\) 0.464592 + 6.84415i 0.0176103 + 0.259427i
\(697\) 11.0871 41.3775i 0.419952 1.56728i
\(698\) −0.919280 + 43.6842i −0.0347953 + 1.65347i
\(699\) −32.4315 13.4335i −1.22667 0.508104i
\(700\) −7.51719 + 7.99818i −0.284123 + 0.302303i
\(701\) 4.48447 + 10.8265i 0.169376 + 0.408910i 0.985661 0.168740i \(-0.0539698\pi\)
−0.816284 + 0.577650i \(0.803970\pi\)
\(702\) −35.3697 15.5303i −1.33494 0.586153i
\(703\) 0.330644 + 0.572691i 0.0124705 + 0.0215995i
\(704\) 16.8092 16.9664i 0.633519 0.639446i
\(705\) 6.81658 11.8067i 0.256727 0.444665i
\(706\) −5.49247 49.7943i −0.206712 1.87403i
\(707\) 21.0853 + 41.9476i 0.792993 + 1.57760i
\(708\) −2.32318 10.4027i −0.0873103 0.390959i
\(709\) −26.3866 + 20.2472i −0.990970 + 0.760398i −0.970921 0.239401i \(-0.923049\pi\)
−0.0200489 + 0.999799i \(0.506382\pi\)
\(710\) 0.101382 + 0.0614122i 0.00380478 + 0.00230476i
\(711\) −0.346210 + 1.29207i −0.0129839 + 0.0484565i
\(712\) −4.11109 6.12179i −0.154070 0.229424i
\(713\) 6.05024 6.05024i 0.226583 0.226583i
\(714\) −5.13029 + 24.0972i −0.191996 + 0.901815i
\(715\) −10.0245 + 24.2014i −0.374897 + 0.905081i
\(716\) 0.0402064 + 0.451490i 0.00150258 + 0.0168730i
\(717\) −27.5001 21.1016i −1.02701 0.788053i
\(718\) −0.129954 0.0198987i −0.00484985 0.000742611i
\(719\) 15.3322 + 8.85202i 0.571793 + 0.330125i 0.757865 0.652411i \(-0.226243\pi\)
−0.186072 + 0.982536i \(0.559576\pi\)
\(720\) 0.732839 0.804753i 0.0273113 0.0299914i
\(721\) −23.7420 + 16.1270i −0.884200 + 0.600602i
\(722\) −20.9229 16.7657i −0.778670 0.623956i
\(723\) −5.63262 + 42.7840i −0.209479 + 1.59115i
\(724\) −17.2356 + 6.30357i −0.640558 + 0.234270i
\(725\) −2.95930 + 0.389599i −0.109906 + 0.0144693i
\(726\) −3.59153 + 3.44349i −0.133294 + 0.127800i
\(727\) 24.5098 24.5098i 0.909017 0.909017i −0.0871756 0.996193i \(-0.527784\pi\)
0.996193 + 0.0871756i \(0.0277841\pi\)
\(728\) 33.4349 + 18.8626i 1.23918 + 0.699094i
\(729\) 19.9941 + 19.9941i 0.740521 + 0.740521i
\(730\) −11.2164 0.236036i −0.415138 0.00873608i
\(731\) 5.60616 + 42.5830i 0.207351 + 1.57499i
\(732\) −36.7049 1.54550i −1.35665 0.0571234i
\(733\) 37.1113 + 4.88580i 1.37074 + 0.180461i 0.779685 0.626172i \(-0.215379\pi\)
0.591053 + 0.806633i \(0.298712\pi\)
\(734\) −22.3245 + 2.46246i −0.824013 + 0.0908912i
\(735\) −12.5280 15.8214i −0.462102 0.583583i
\(736\) −14.4021 3.46502i −0.530870 0.127722i
\(737\) 19.0836 33.0538i 0.702954 1.21755i
\(738\) 1.46029 + 1.98834i 0.0537538 + 0.0731918i
\(739\) 8.70326 11.3423i 0.320155 0.417234i −0.605356 0.795955i \(-0.706969\pi\)
0.925511 + 0.378721i \(0.123636\pi\)
\(740\) 9.85408 5.14916i 0.362243 0.189287i
\(741\) −1.62535 0.673244i −0.0597089 0.0247322i
\(742\) −35.4072 + 1.84395i −1.29984 + 0.0676935i
\(743\) −7.03270 7.03270i −0.258005 0.258005i 0.566237 0.824242i \(-0.308399\pi\)
−0.824242 + 0.566237i \(0.808399\pi\)
\(744\) 3.07452 + 15.2708i 0.112718 + 0.559855i
\(745\) 12.3806 + 3.31737i 0.453590 + 0.121539i
\(746\) −3.20932 13.0715i −0.117502 0.478581i
\(747\) 0.550828 + 0.717852i 0.0201537 + 0.0262648i
\(748\) 22.9774 + 4.01479i 0.840138 + 0.146795i
\(749\) 23.1118 + 15.1893i 0.844487 + 0.555005i
\(750\) −22.5083 18.0361i −0.821887 0.658586i
\(751\) 21.7450 + 12.5545i 0.793487 + 0.458120i 0.841189 0.540742i \(-0.181856\pi\)
−0.0477017 + 0.998862i \(0.515190\pi\)
\(752\) −10.8012 + 15.5281i −0.393881 + 0.566253i
\(753\) −14.2564 + 8.23096i −0.519533 + 0.299953i
\(754\) 3.79112 + 9.72649i 0.138064 + 0.354218i
\(755\) 26.2454 10.8712i 0.955168 0.395644i
\(756\) −17.8365 21.8108i −0.648706 0.793252i
\(757\) 2.84683 6.87285i 0.103470 0.249798i −0.863663 0.504069i \(-0.831836\pi\)
0.967133 + 0.254271i \(0.0818356\pi\)
\(758\) 16.2227 + 16.9202i 0.589235 + 0.614568i
\(759\) −12.7276 3.41035i −0.461983 0.123788i
\(760\) 0.647307 0.741587i 0.0234803 0.0269002i
\(761\) 3.27817 0.878383i 0.118834 0.0318414i −0.198912 0.980017i \(-0.563741\pi\)
0.317746 + 0.948176i \(0.397074\pi\)
\(762\) 33.5364 18.4326i 1.21490 0.667741i
\(763\) 41.6784 + 13.7945i 1.50886 + 0.499396i
\(764\) 49.8590 11.1347i 1.80384 0.402839i
\(765\) 1.05392 + 0.138751i 0.0381046 + 0.00501657i
\(766\) 4.17539 3.06651i 0.150863 0.110797i
\(767\) −8.11029 14.0474i −0.292846 0.507224i
\(768\) 19.7694 18.3424i 0.713368 0.661875i
\(769\) 47.1790 1.70132 0.850658 0.525719i \(-0.176204\pi\)
0.850658 + 0.525719i \(0.176204\pi\)
\(770\) −14.5327 + 12.4039i −0.523723 + 0.447004i
\(771\) −6.74643 16.2873i −0.242967 0.586574i
\(772\) 2.82617 9.01220i 0.101716 0.324356i