Properties

Label 175.2.x.a.108.5
Level $175$
Weight $2$
Character 175.108
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 108.5
Character \(\chi\) \(=\) 175.108
Dual form 175.2.x.a.47.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0825201 - 1.57458i) q^{2} +(-0.0997864 - 0.0808054i) q^{3} +(-0.483440 + 0.0508115i) q^{4} +(-1.93750 - 1.11629i) q^{5} +(-0.119000 + 0.163789i) q^{6} +(2.63799 + 0.202552i) q^{7} +(-0.373412 - 2.35763i) q^{8} +(-0.620307 - 2.91832i) q^{9} +O(q^{10})\) \(q+(-0.0825201 - 1.57458i) q^{2} +(-0.0997864 - 0.0808054i) q^{3} +(-0.483440 + 0.0508115i) q^{4} +(-1.93750 - 1.11629i) q^{5} +(-0.119000 + 0.163789i) q^{6} +(2.63799 + 0.202552i) q^{7} +(-0.373412 - 2.35763i) q^{8} +(-0.620307 - 2.91832i) q^{9} +(-1.59780 + 3.14286i) q^{10} +(-3.49879 - 0.743691i) q^{11} +(0.0523465 + 0.0339942i) q^{12} +(0.403536 + 0.791984i) q^{13} +(0.101247 - 4.17043i) q^{14} +(0.103134 + 0.267951i) q^{15} +(-4.63242 + 0.984651i) q^{16} +(6.15204 + 2.36155i) q^{17} +(-4.54393 + 1.21754i) q^{18} +(-0.107522 + 1.02301i) q^{19} +(0.993383 + 0.441211i) q^{20} +(-0.246868 - 0.233375i) q^{21} +(-0.882278 + 5.57049i) q^{22} +(2.68721 - 0.140831i) q^{23} +(-0.153248 + 0.265433i) q^{24} +(2.50779 + 4.32562i) q^{25} +(1.21374 - 0.700753i) q^{26} +(-0.348796 + 0.684551i) q^{27} +(-1.28560 + 0.0361186i) q^{28} +(-0.242693 - 0.334038i) q^{29} +(0.413399 - 0.184503i) q^{30} +(1.79233 + 4.02565i) q^{31} +(0.697064 + 2.60148i) q^{32} +(0.289037 + 0.356931i) q^{33} +(3.21077 - 9.88174i) q^{34} +(-4.88499 - 3.33720i) q^{35} +(0.448165 + 1.37931i) q^{36} +(5.67907 - 8.74501i) q^{37} +(1.61967 + 0.0848835i) q^{38} +(0.0237292 - 0.111637i) q^{39} +(-1.90831 + 4.98474i) q^{40} +(-0.884011 - 0.287233i) q^{41} +(-0.347096 + 0.407971i) q^{42} +(3.39602 + 3.39602i) q^{43} +(1.72924 + 0.181751i) q^{44} +(-2.05584 + 6.34667i) q^{45} +(-0.443498 - 4.21960i) q^{46} +(2.43023 + 6.33097i) q^{47} +(0.541817 + 0.276070i) q^{48} +(6.91795 + 1.06866i) q^{49} +(6.60407 - 4.30567i) q^{50} +(-0.423064 - 0.732768i) q^{51} +(-0.235327 - 0.362372i) q^{52} +(-5.17105 + 6.38571i) q^{53} +(1.10666 + 0.492717i) q^{54} +(5.94873 + 5.34656i) q^{55} +(-0.507514 - 6.29504i) q^{56} +(0.0933936 - 0.0933936i) q^{57} +(-0.505941 + 0.409703i) q^{58} +(3.83266 + 4.25660i) q^{59} +(-0.0634739 - 0.124298i) q^{60} +(-3.99440 - 3.59658i) q^{61} +(6.19079 - 3.15437i) q^{62} +(-1.04525 - 7.82412i) q^{63} +(-4.96953 + 1.61470i) q^{64} +(0.102233 - 1.98493i) q^{65} +(0.538165 - 0.484566i) q^{66} +(3.90663 - 10.1771i) q^{67} +(-3.09413 - 0.829071i) q^{68} +(-0.279527 - 0.203088i) q^{69} +(-4.85157 + 7.96717i) q^{70} +(5.23629 - 3.80439i) q^{71} +(-6.64868 + 2.55219i) q^{72} +(-9.62453 + 6.25024i) q^{73} +(-14.2383 - 8.22050i) q^{74} +(0.0992895 - 0.634281i) q^{75} -0.500025i q^{76} +(-9.07913 - 2.67053i) q^{77} +(-0.177739 - 0.0281511i) q^{78} +(-5.43361 + 12.2041i) q^{79} +(10.0745 + 3.26336i) q^{80} +(-8.08660 + 3.60039i) q^{81} +(-0.379321 + 1.41565i) q^{82} +(-10.5884 + 1.67704i) q^{83} +(0.131204 + 0.100279i) q^{84} +(-9.28339 - 11.4430i) q^{85} +(5.06705 - 5.62753i) q^{86} +(-0.00277464 + 0.0529433i) q^{87} +(-0.446858 + 8.52656i) q^{88} +(3.49677 - 3.88355i) q^{89} +(10.1630 + 2.71335i) q^{90} +(0.904105 + 2.17098i) q^{91} +(-1.29195 + 0.204625i) q^{92} +(0.146444 - 0.546535i) q^{93} +(9.76806 - 4.34902i) q^{94} +(1.35029 - 1.86204i) q^{95} +(0.140656 - 0.315919i) q^{96} +(-14.9519 - 2.36815i) q^{97} +(1.11181 - 10.9810i) q^{98} +10.6719i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} + O(q^{10}) \) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} - 36 q^{10} - 6 q^{11} - 36 q^{12} - 20 q^{14} - 28 q^{15} - 30 q^{16} - 42 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} + 32 q^{22} - 40 q^{23} + 2 q^{25} - 48 q^{26} + 22 q^{28} - 58 q^{30} - 18 q^{31} + 8 q^{32} - 30 q^{33} - 2 q^{35} + 40 q^{36} - 10 q^{37} + 72 q^{38} + 30 q^{39} - 48 q^{40} + 6 q^{42} - 108 q^{43} - 10 q^{44} + 186 q^{45} - 6 q^{46} - 54 q^{47} - 248 q^{50} - 16 q^{51} + 216 q^{52} + 50 q^{53} - 30 q^{54} + 4 q^{56} - 216 q^{57} - 4 q^{58} + 90 q^{59} + 96 q^{60} - 18 q^{61} - 66 q^{63} - 100 q^{64} + 14 q^{65} - 90 q^{66} + 4 q^{67} + 342 q^{68} - 60 q^{70} - 24 q^{71} + 58 q^{72} - 6 q^{73} + 216 q^{75} - 80 q^{77} - 132 q^{78} - 10 q^{79} - 6 q^{80} - 10 q^{81} + 216 q^{82} + 20 q^{84} - 48 q^{85} - 6 q^{86} - 48 q^{87} - 122 q^{88} + 120 q^{89} - 12 q^{91} - 4 q^{92} + 106 q^{93} - 30 q^{94} - 98 q^{95} - 90 q^{96} + 222 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0825201 1.57458i −0.0583505 1.11339i −0.858241 0.513248i \(-0.828442\pi\)
0.799890 0.600147i \(-0.204891\pi\)
\(3\) −0.0997864 0.0808054i −0.0576117 0.0466530i 0.600082 0.799938i \(-0.295135\pi\)
−0.657694 + 0.753285i \(0.728468\pi\)
\(4\) −0.483440 + 0.0508115i −0.241720 + 0.0254058i
\(5\) −1.93750 1.11629i −0.866475 0.499220i
\(6\) −0.119000 + 0.163789i −0.0485815 + 0.0668667i
\(7\) 2.63799 + 0.202552i 0.997065 + 0.0765574i
\(8\) −0.373412 2.35763i −0.132021 0.833549i
\(9\) −0.620307 2.91832i −0.206769 0.972772i
\(10\) −1.59780 + 3.14286i −0.505269 + 0.993858i
\(11\) −3.49879 0.743691i −1.05493 0.224231i −0.352370 0.935861i \(-0.614624\pi\)
−0.702555 + 0.711629i \(0.747958\pi\)
\(12\) 0.0523465 + 0.0339942i 0.0151111 + 0.00981329i
\(13\) 0.403536 + 0.791984i 0.111921 + 0.219657i 0.940172 0.340700i \(-0.110664\pi\)
−0.828251 + 0.560357i \(0.810664\pi\)
\(14\) 0.101247 4.17043i 0.0270593 1.11459i
\(15\) 0.103134 + 0.267951i 0.0266290 + 0.0691846i
\(16\) −4.63242 + 0.984651i −1.15810 + 0.246163i
\(17\) 6.15204 + 2.36155i 1.49209 + 0.572759i 0.961484 0.274860i \(-0.0886316\pi\)
0.530605 + 0.847619i \(0.321965\pi\)
\(18\) −4.54393 + 1.21754i −1.07101 + 0.286977i
\(19\) −0.107522 + 1.02301i −0.0246673 + 0.234693i 0.975241 + 0.221145i \(0.0709794\pi\)
−0.999908 + 0.0135485i \(0.995687\pi\)
\(20\) 0.993383 + 0.441211i 0.222127 + 0.0986579i
\(21\) −0.246868 0.233375i −0.0538710 0.0509267i
\(22\) −0.882278 + 5.57049i −0.188102 + 1.18763i
\(23\) 2.68721 0.140831i 0.560322 0.0293652i 0.229927 0.973208i \(-0.426151\pi\)
0.330395 + 0.943843i \(0.392818\pi\)
\(24\) −0.153248 + 0.265433i −0.0312816 + 0.0541813i
\(25\) 2.50779 + 4.32562i 0.501559 + 0.865123i
\(26\) 1.21374 0.700753i 0.238034 0.137429i
\(27\) −0.348796 + 0.684551i −0.0671258 + 0.131742i
\(28\) −1.28560 + 0.0361186i −0.242955 + 0.00682577i
\(29\) −0.242693 0.334038i −0.0450669 0.0620293i 0.785889 0.618368i \(-0.212206\pi\)
−0.830956 + 0.556339i \(0.812206\pi\)
\(30\) 0.413399 0.184503i 0.0754759 0.0336855i
\(31\) 1.79233 + 4.02565i 0.321913 + 0.723028i 0.999928 0.0120201i \(-0.00382622\pi\)
−0.678015 + 0.735048i \(0.737160\pi\)
\(32\) 0.697064 + 2.60148i 0.123225 + 0.459881i
\(33\) 0.289037 + 0.356931i 0.0503150 + 0.0621338i
\(34\) 3.21077 9.88174i 0.550643 1.69470i
\(35\) −4.88499 3.33720i −0.825713 0.564090i
\(36\) 0.448165 + 1.37931i 0.0746942 + 0.229885i
\(37\) 5.67907 8.74501i 0.933634 1.43767i 0.0347933 0.999395i \(-0.488923\pi\)
0.898841 0.438276i \(-0.144411\pi\)
\(38\) 1.61967 + 0.0848835i 0.262746 + 0.0137699i
\(39\) 0.0237292 0.111637i 0.00379971 0.0178762i
\(40\) −1.90831 + 4.98474i −0.301731 + 0.788157i
\(41\) −0.884011 0.287233i −0.138059 0.0448582i 0.239172 0.970977i \(-0.423124\pi\)
−0.377232 + 0.926119i \(0.623124\pi\)
\(42\) −0.347096 + 0.407971i −0.0535581 + 0.0629512i
\(43\) 3.39602 + 3.39602i 0.517888 + 0.517888i 0.916932 0.399044i \(-0.130658\pi\)
−0.399044 + 0.916932i \(0.630658\pi\)
\(44\) 1.72924 + 0.181751i 0.260693 + 0.0273999i
\(45\) −2.05584 + 6.34667i −0.306467 + 0.946106i
\(46\) −0.443498 4.21960i −0.0653902 0.622146i
\(47\) 2.43023 + 6.33097i 0.354486 + 0.923467i 0.988646 + 0.150265i \(0.0480127\pi\)
−0.634160 + 0.773202i \(0.718654\pi\)
\(48\) 0.541817 + 0.276070i 0.0782046 + 0.0398472i
\(49\) 6.91795 + 1.06866i 0.988278 + 0.152665i
\(50\) 6.60407 4.30567i 0.933957 0.608913i
\(51\) −0.423064 0.732768i −0.0592408 0.102608i
\(52\) −0.235327 0.362372i −0.0326340 0.0502520i
\(53\) −5.17105 + 6.38571i −0.710298 + 0.877145i −0.996717 0.0809593i \(-0.974202\pi\)
0.286419 + 0.958104i \(0.407535\pi\)
\(54\) 1.10666 + 0.492717i 0.150597 + 0.0670503i
\(55\) 5.94873 + 5.34656i 0.802126 + 0.720931i
\(56\) −0.507514 6.29504i −0.0678194 0.841209i
\(57\) 0.0933936 0.0933936i 0.0123703 0.0123703i
\(58\) −0.505941 + 0.409703i −0.0664334 + 0.0537967i
\(59\) 3.83266 + 4.25660i 0.498969 + 0.554162i 0.939043 0.343800i \(-0.111714\pi\)
−0.440073 + 0.897962i \(0.645048\pi\)
\(60\) −0.0634739 0.124298i −0.00819444 0.0160468i
\(61\) −3.99440 3.59658i −0.511431 0.460494i 0.372554 0.928011i \(-0.378482\pi\)
−0.883984 + 0.467516i \(0.845149\pi\)
\(62\) 6.19079 3.15437i 0.786231 0.400605i
\(63\) −1.04525 7.82412i −0.131689 0.985747i
\(64\) −4.96953 + 1.61470i −0.621191 + 0.201837i
\(65\) 0.102233 1.98493i 0.0126805 0.246200i
\(66\) 0.538165 0.484566i 0.0662435 0.0596459i
\(67\) 3.90663 10.1771i 0.477271 1.24333i −0.457858 0.889025i \(-0.651383\pi\)
0.935129 0.354308i \(-0.115283\pi\)
\(68\) −3.09413 0.829071i −0.375219 0.100540i
\(69\) −0.279527 0.203088i −0.0336511 0.0244489i
\(70\) −4.85157 + 7.96717i −0.579874 + 0.952259i
\(71\) 5.23629 3.80439i 0.621433 0.451498i −0.231988 0.972719i \(-0.574523\pi\)
0.853422 + 0.521221i \(0.174523\pi\)
\(72\) −6.64868 + 2.55219i −0.783555 + 0.300779i
\(73\) −9.62453 + 6.25024i −1.12647 + 0.731536i −0.966774 0.255631i \(-0.917717\pi\)
−0.159692 + 0.987167i \(0.551050\pi\)
\(74\) −14.2383 8.22050i −1.65517 0.955614i
\(75\) 0.0992895 0.634281i 0.0114650 0.0732405i
\(76\) 0.500025i 0.0573567i
\(77\) −9.07913 2.67053i −1.03466 0.304336i
\(78\) −0.177739 0.0281511i −0.0201250 0.00318749i
\(79\) −5.43361 + 12.2041i −0.611329 + 1.37307i 0.297028 + 0.954869i \(0.404005\pi\)
−0.908356 + 0.418198i \(0.862662\pi\)
\(80\) 10.0745 + 3.26336i 1.12636 + 0.364855i
\(81\) −8.08660 + 3.60039i −0.898512 + 0.400043i
\(82\) −0.379321 + 1.41565i −0.0418890 + 0.156332i
\(83\) −10.5884 + 1.67704i −1.16223 + 0.184079i −0.707607 0.706606i \(-0.750225\pi\)
−0.454621 + 0.890685i \(0.650225\pi\)
\(84\) 0.131204 + 0.100279i 0.0143155 + 0.0109414i
\(85\) −9.28339 11.4430i −1.00693 1.24116i
\(86\) 5.06705 5.62753i 0.546394 0.606832i
\(87\) −0.00277464 + 0.0529433i −0.000297473 + 0.00567612i
\(88\) −0.446858 + 8.52656i −0.0476353 + 0.908935i
\(89\) 3.49677 3.88355i 0.370657 0.411656i −0.528744 0.848781i \(-0.677337\pi\)
0.899401 + 0.437125i \(0.144003\pi\)
\(90\) 10.1630 + 2.71335i 1.07127 + 0.286013i
\(91\) 0.904105 + 2.17098i 0.0947759 + 0.227580i
\(92\) −1.29195 + 0.204625i −0.134695 + 0.0213336i
\(93\) 0.146444 0.546535i 0.0151855 0.0566731i
\(94\) 9.76806 4.34902i 1.00750 0.448567i
\(95\) 1.35029 1.86204i 0.138537 0.191042i
\(96\) 0.140656 0.315919i 0.0143556 0.0322433i
\(97\) −14.9519 2.36815i −1.51813 0.240449i −0.658978 0.752163i \(-0.729011\pi\)
−0.859156 + 0.511714i \(0.829011\pi\)
\(98\) 1.11181 10.9810i 0.112310 1.10925i
\(99\) 10.6719i 1.07257i
\(100\) −1.43216 1.96375i −0.143216 0.196375i
\(101\) −16.4574 9.50169i −1.63757 0.945453i −0.981665 0.190612i \(-0.938953\pi\)
−0.655908 0.754841i \(-0.727714\pi\)
\(102\) −1.11889 + 0.726615i −0.110786 + 0.0719456i
\(103\) 9.23944 3.54669i 0.910389 0.349466i 0.142311 0.989822i \(-0.454547\pi\)
0.768078 + 0.640356i \(0.221213\pi\)
\(104\) 1.71652 1.24713i 0.168319 0.122291i
\(105\) 0.217791 + 0.727740i 0.0212542 + 0.0710202i
\(106\) 10.4815 + 7.61526i 1.01805 + 0.739660i
\(107\) 11.0384 + 2.95772i 1.06712 + 0.285933i 0.749309 0.662221i \(-0.230386\pi\)
0.317810 + 0.948155i \(0.397053\pi\)
\(108\) 0.133839 0.348662i 0.0128786 0.0335500i
\(109\) 3.36131 3.02654i 0.321955 0.289890i −0.492266 0.870445i \(-0.663831\pi\)
0.814221 + 0.580555i \(0.197164\pi\)
\(110\) 7.92769 9.80793i 0.755875 0.935149i
\(111\) −1.27334 + 0.413733i −0.120860 + 0.0392698i
\(112\) −12.4197 + 1.65919i −1.17355 + 0.156779i
\(113\) −5.01371 + 2.55462i −0.471651 + 0.240318i −0.673626 0.739073i \(-0.735264\pi\)
0.201975 + 0.979391i \(0.435264\pi\)
\(114\) −0.154762 0.139349i −0.0144948 0.0130512i
\(115\) −5.36367 2.72685i −0.500165 0.254280i
\(116\) 0.134300 + 0.149156i 0.0124695 + 0.0138487i
\(117\) 2.06094 1.66892i 0.190534 0.154292i
\(118\) 6.38607 6.38607i 0.587885 0.587885i
\(119\) 15.7507 + 7.47584i 1.44386 + 0.685309i
\(120\) 0.593218 0.343207i 0.0541531 0.0313304i
\(121\) 1.63947 + 0.729937i 0.149042 + 0.0663579i
\(122\) −5.33347 + 6.58628i −0.482869 + 0.596294i
\(123\) 0.0650023 + 0.100095i 0.00586106 + 0.00902524i
\(124\) −1.07103 1.85509i −0.0961818 0.166592i
\(125\) −0.0302046 11.1803i −0.00270158 0.999996i
\(126\) −12.2334 + 2.29148i −1.08984 + 0.204141i
\(127\) −8.63797 4.40126i −0.766495 0.390549i 0.0266001 0.999646i \(-0.491532\pi\)
−0.793096 + 0.609097i \(0.791532\pi\)
\(128\) 4.88290 + 12.7204i 0.431591 + 1.12433i
\(129\) −0.0644597 0.613293i −0.00567536 0.0539974i
\(130\) −3.13386 + 0.00282213i −0.274858 + 0.000247517i
\(131\) 18.0626 + 1.89846i 1.57814 + 0.165869i 0.852695 0.522410i \(-0.174967\pi\)
0.725446 + 0.688279i \(0.241634\pi\)
\(132\) −0.157868 0.157868i −0.0137407 0.0137407i
\(133\) −0.490854 + 2.67689i −0.0425624 + 0.232116i
\(134\) −16.3470 5.31147i −1.41217 0.458841i
\(135\) 1.43995 0.936958i 0.123931 0.0806405i
\(136\) 3.27041 15.3861i 0.280435 1.31934i
\(137\) 12.2533 + 0.642167i 1.04687 + 0.0548640i 0.568005 0.823025i \(-0.307716\pi\)
0.478863 + 0.877889i \(0.341049\pi\)
\(138\) −0.296711 + 0.456895i −0.0252578 + 0.0388935i
\(139\) 1.49559 + 4.60294i 0.126854 + 0.390417i 0.994234 0.107229i \(-0.0341979\pi\)
−0.867380 + 0.497646i \(0.834198\pi\)
\(140\) 2.53116 + 1.36512i 0.213922 + 0.115374i
\(141\) 0.269073 0.828120i 0.0226600 0.0697403i
\(142\) −6.42240 7.93101i −0.538956 0.665555i
\(143\) −0.822897 3.07109i −0.0688141 0.256818i
\(144\) 5.74705 + 12.9081i 0.478920 + 1.07567i
\(145\) 0.0973336 + 0.918113i 0.00808311 + 0.0762451i
\(146\) 10.6357 + 14.6388i 0.880218 + 1.21152i
\(147\) −0.603963 0.665645i −0.0498140 0.0549015i
\(148\) −2.30114 + 4.51624i −0.189153 + 0.371233i
\(149\) −8.82683 + 5.09617i −0.723122 + 0.417495i −0.815901 0.578192i \(-0.803758\pi\)
0.0927785 + 0.995687i \(0.470425\pi\)
\(150\) −1.00692 0.103998i −0.0822145 0.00849141i
\(151\) −0.622057 + 1.07743i −0.0506223 + 0.0876804i −0.890226 0.455519i \(-0.849454\pi\)
0.839604 + 0.543199i \(0.182787\pi\)
\(152\) 2.45202 0.128505i 0.198885 0.0104231i
\(153\) 3.07559 19.4185i 0.248646 1.56989i
\(154\) −3.45575 + 14.5162i −0.278472 + 1.16975i
\(155\) 1.02115 9.80045i 0.0820205 0.787191i
\(156\) −0.00579918 + 0.0551755i −0.000464306 + 0.00441757i
\(157\) 9.24318 2.47670i 0.737686 0.197662i 0.129637 0.991562i \(-0.458619\pi\)
0.608050 + 0.793899i \(0.291952\pi\)
\(158\) 19.6646 + 7.54855i 1.56444 + 0.600530i
\(159\) 1.03200 0.219358i 0.0818429 0.0173963i
\(160\) 1.55344 5.81848i 0.122810 0.459992i
\(161\) 7.11735 + 0.172790i 0.560926 + 0.0136177i
\(162\) 6.33640 + 12.4359i 0.497834 + 0.977055i
\(163\) 5.76084 + 3.74113i 0.451223 + 0.293028i 0.750174 0.661241i \(-0.229970\pi\)
−0.298950 + 0.954269i \(0.596636\pi\)
\(164\) 0.441961 + 0.0939417i 0.0345113 + 0.00733561i
\(165\) −0.161570 1.01420i −0.0125782 0.0789556i
\(166\) 3.51438 + 16.5339i 0.272769 + 1.28328i
\(167\) −0.493915 3.11846i −0.0382203 0.241313i 0.961181 0.275919i \(-0.0889823\pi\)
−0.999401 + 0.0346062i \(0.988982\pi\)
\(168\) −0.458030 + 0.669168i −0.0353378 + 0.0516275i
\(169\) 7.17681 9.87803i 0.552062 0.759849i
\(170\) −17.2517 + 15.5617i −1.32315 + 1.19353i
\(171\) 3.05215 0.320794i 0.233404 0.0245317i
\(172\) −1.81433 1.46921i −0.138341 0.112026i
\(173\) 0.203072 + 3.87484i 0.0154393 + 0.294599i 0.995426 + 0.0955359i \(0.0304565\pi\)
−0.979987 + 0.199063i \(0.936210\pi\)
\(174\) 0.0835923 0.00633712
\(175\) 5.73937 + 11.9189i 0.433855 + 0.900983i
\(176\) 16.9401 1.27691
\(177\) −0.0384909 0.734450i −0.00289315 0.0552046i
\(178\) −6.40351 5.18546i −0.479963 0.388667i
\(179\) −18.1903 + 1.91188i −1.35961 + 0.142901i −0.756100 0.654456i \(-0.772898\pi\)
−0.603508 + 0.797357i \(0.706231\pi\)
\(180\) 0.671391 3.17269i 0.0500426 0.236479i
\(181\) −11.0244 + 15.1738i −0.819436 + 1.12786i 0.170362 + 0.985381i \(0.445506\pi\)
−0.989798 + 0.142475i \(0.954494\pi\)
\(182\) 3.34377 1.60273i 0.247857 0.118802i
\(183\) 0.107964 + 0.681658i 0.00798093 + 0.0503896i
\(184\) −1.33546 6.28287i −0.0984517 0.463179i
\(185\) −20.7652 + 10.6039i −1.52668 + 0.779617i
\(186\) −0.872646 0.185487i −0.0639855 0.0136005i
\(187\) −19.7684 12.8378i −1.44561 0.938791i
\(188\) −1.49656 2.93716i −0.109148 0.214214i
\(189\) −1.05878 + 1.73519i −0.0770146 + 0.126216i
\(190\) −3.04336 1.97249i −0.220788 0.143099i
\(191\) −7.51908 + 1.59823i −0.544062 + 0.115644i −0.471740 0.881737i \(-0.656374\pi\)
−0.0723214 + 0.997381i \(0.523041\pi\)
\(192\) 0.626367 + 0.240440i 0.0452042 + 0.0173523i
\(193\) 13.8743 3.71761i 0.998695 0.267599i 0.277796 0.960640i \(-0.410396\pi\)
0.720899 + 0.693041i \(0.243729\pi\)
\(194\) −2.49500 + 23.7383i −0.179130 + 1.70431i
\(195\) −0.170595 + 0.189808i −0.0122165 + 0.0135924i
\(196\) −3.39871 0.165120i −0.242765 0.0117943i
\(197\) 0.320426 2.02309i 0.0228294 0.144139i −0.973641 0.228087i \(-0.926753\pi\)
0.996470 + 0.0839479i \(0.0267529\pi\)
\(198\) 16.8037 0.880646i 1.19419 0.0625848i
\(199\) 2.93779 5.08840i 0.208254 0.360707i −0.742910 0.669391i \(-0.766555\pi\)
0.951165 + 0.308684i \(0.0998885\pi\)
\(200\) 9.26177 7.52769i 0.654906 0.532288i
\(201\) −1.21219 + 0.699861i −0.0855016 + 0.0493644i
\(202\) −13.6031 + 26.6975i −0.957109 + 1.87843i
\(203\) −0.572560 0.930345i −0.0401859 0.0652974i
\(204\) 0.241759 + 0.332753i 0.0169265 + 0.0232973i
\(205\) 1.39214 + 1.54333i 0.0972309 + 0.107791i
\(206\) −6.34698 14.2555i −0.442215 0.993231i
\(207\) −2.07789 7.75477i −0.144423 0.538994i
\(208\) −2.64917 3.27146i −0.183687 0.226835i
\(209\) 1.13700 3.49932i 0.0786478 0.242053i
\(210\) 1.12791 0.402982i 0.0778333 0.0278084i
\(211\) 5.78925 + 17.8175i 0.398549 + 1.22661i 0.926163 + 0.377123i \(0.123086\pi\)
−0.527615 + 0.849484i \(0.676914\pi\)
\(212\) 2.17542 3.34986i 0.149409 0.230069i
\(213\) −0.829926 0.0434946i −0.0568656 0.00298020i
\(214\) 3.74627 17.6248i 0.256090 1.20481i
\(215\) −2.78884 10.3707i −0.190197 0.707277i
\(216\) 1.74416 + 0.566713i 0.118675 + 0.0385599i
\(217\) 3.91275 + 10.9826i 0.265615 + 0.745551i
\(218\) −5.04289 5.04289i −0.341548 0.341548i
\(219\) 1.46545 + 0.154025i 0.0990260 + 0.0104080i
\(220\) −3.14752 2.28248i −0.212206 0.153885i
\(221\) 0.612262 + 5.82528i 0.0411852 + 0.391851i
\(222\) 0.756530 + 1.97083i 0.0507749 + 0.132273i
\(223\) −9.90574 5.04723i −0.663338 0.337987i 0.0896962 0.995969i \(-0.471410\pi\)
−0.753034 + 0.657982i \(0.771410\pi\)
\(224\) 1.31191 + 7.00386i 0.0876558 + 0.467965i
\(225\) 11.0679 10.0018i 0.737861 0.666783i
\(226\) 4.43617 + 7.68367i 0.295090 + 0.511110i
\(227\) 10.5062 + 16.1781i 0.697319 + 1.07378i 0.992957 + 0.118477i \(0.0378011\pi\)
−0.295638 + 0.955300i \(0.595532\pi\)
\(228\) −0.0404047 + 0.0498956i −0.00267587 + 0.00330442i
\(229\) −24.8300 11.0550i −1.64081 0.730538i −0.641485 0.767136i \(-0.721681\pi\)
−0.999330 + 0.0365981i \(0.988348\pi\)
\(230\) −3.85102 + 8.67054i −0.253929 + 0.571718i
\(231\) 0.690180 + 1.00013i 0.0454105 + 0.0658034i
\(232\) −0.696914 + 0.696914i −0.0457546 + 0.0457546i
\(233\) 17.2555 13.9732i 1.13045 0.915417i 0.133312 0.991074i \(-0.457439\pi\)
0.997134 + 0.0756570i \(0.0241054\pi\)
\(234\) −2.79791 3.10739i −0.182905 0.203137i
\(235\) 2.35863 14.9791i 0.153860 0.977127i
\(236\) −2.06914 1.86306i −0.134690 0.121275i
\(237\) 1.52836 0.778736i 0.0992774 0.0505843i
\(238\) 10.4715 25.4175i 0.678769 1.64757i
\(239\) −27.7649 + 9.02136i −1.79596 + 0.583543i −0.999769 0.0215007i \(-0.993156\pi\)
−0.796192 + 0.605044i \(0.793156\pi\)
\(240\) −0.741596 1.13971i −0.0478698 0.0735679i
\(241\) 1.39616 1.25711i 0.0899346 0.0809775i −0.622937 0.782272i \(-0.714061\pi\)
0.712872 + 0.701294i \(0.247394\pi\)
\(242\) 1.01405 2.64170i 0.0651858 0.169815i
\(243\) 3.32420 + 0.890715i 0.213247 + 0.0571394i
\(244\) 2.11380 + 1.53577i 0.135322 + 0.0983173i
\(245\) −12.2106 9.79295i −0.780105 0.625649i
\(246\) 0.152243 0.110611i 0.00970666 0.00705230i
\(247\) −0.853593 + 0.327663i −0.0543128 + 0.0208487i
\(248\) 8.82172 5.72889i 0.560180 0.363785i
\(249\) 1.19209 + 0.688255i 0.0755458 + 0.0436164i
\(250\) −17.6018 + 0.970159i −1.11323 + 0.0613582i
\(251\) 16.4158i 1.03616i 0.855333 + 0.518078i \(0.173352\pi\)
−0.855333 + 0.518078i \(0.826648\pi\)
\(252\) 0.902872 + 3.72938i 0.0568756 + 0.234929i
\(253\) −9.50673 1.50572i −0.597683 0.0946636i
\(254\) −6.21732 + 13.9643i −0.390110 + 0.876200i
\(255\) 0.00170380 + 1.89200i 0.000106696 + 0.118482i
\(256\) 10.0792 4.48757i 0.629953 0.280473i
\(257\) −1.66061 + 6.19747i −0.103586 + 0.386587i −0.998181 0.0602903i \(-0.980797\pi\)
0.894595 + 0.446878i \(0.147464\pi\)
\(258\) −0.960357 + 0.152106i −0.0597892 + 0.00946969i
\(259\) 16.7526 21.9189i 1.04096 1.36197i
\(260\) 0.0514337 + 0.964788i 0.00318978 + 0.0598336i
\(261\) −0.824284 + 0.915460i −0.0510219 + 0.0566656i
\(262\) 1.49874 28.5977i 0.0925925 1.76677i
\(263\) −0.285445 + 5.44662i −0.0176013 + 0.335853i 0.975609 + 0.219517i \(0.0704482\pi\)
−0.993210 + 0.116336i \(0.962885\pi\)
\(264\) 0.733583 0.814726i 0.0451489 0.0501429i
\(265\) 17.1472 6.59992i 1.05334 0.405430i
\(266\) 4.25548 + 0.551989i 0.260920 + 0.0338446i
\(267\) −0.662742 + 0.104968i −0.0405592 + 0.00642394i
\(268\) −1.37150 + 5.11852i −0.0837780 + 0.312664i
\(269\) 11.0790 4.93269i 0.675499 0.300751i −0.0401683 0.999193i \(-0.512789\pi\)
0.715667 + 0.698441i \(0.246123\pi\)
\(270\) −1.59414 2.18999i −0.0970161 0.133279i
\(271\) 5.77787 12.9773i 0.350981 0.788315i −0.648649 0.761088i \(-0.724666\pi\)
0.999629 0.0272272i \(-0.00866777\pi\)
\(272\) −30.8241 4.88206i −1.86899 0.296018i
\(273\) 0.0852096 0.289691i 0.00515712 0.0175329i
\(274\) 19.3467i 1.16878i
\(275\) −5.55733 16.9995i −0.335119 1.02511i
\(276\) 0.145454 + 0.0839777i 0.00875528 + 0.00505486i
\(277\) 7.89979 5.13018i 0.474652 0.308243i −0.285051 0.958512i \(-0.592011\pi\)
0.759704 + 0.650269i \(0.225344\pi\)
\(278\) 7.12427 2.73475i 0.427286 0.164020i
\(279\) 10.6363 7.72774i 0.636780 0.462648i
\(280\) −6.04378 + 12.7631i −0.361185 + 0.762744i
\(281\) −0.976989 0.709824i −0.0582823 0.0423446i 0.558263 0.829664i \(-0.311468\pi\)
−0.616545 + 0.787320i \(0.711468\pi\)
\(282\) −1.32614 0.355339i −0.0789707 0.0211601i
\(283\) 1.88714 4.91617i 0.112179 0.292236i −0.865985 0.500069i \(-0.833308\pi\)
0.978164 + 0.207833i \(0.0666412\pi\)
\(284\) −2.33812 + 2.10526i −0.138742 + 0.124924i
\(285\) −0.285204 + 0.0766956i −0.0168940 + 0.00454305i
\(286\) −4.76777 + 1.54914i −0.281924 + 0.0916026i
\(287\) −2.27383 0.936774i −0.134220 0.0552960i
\(288\) 7.15954 3.64797i 0.421880 0.214959i
\(289\) 19.6372 + 17.6814i 1.15513 + 1.04008i
\(290\) 1.43761 0.229022i 0.0844192 0.0134486i
\(291\) 1.30063 + 1.44450i 0.0762446 + 0.0846782i
\(292\) 4.33530 3.51065i 0.253704 0.205445i
\(293\) −15.0009 + 15.0009i −0.876365 + 0.876365i −0.993156 0.116792i \(-0.962739\pi\)
0.116792 + 0.993156i \(0.462739\pi\)
\(294\) −0.998270 + 1.00592i −0.0582203 + 0.0586662i
\(295\) −2.67417 12.5255i −0.155696 0.729263i
\(296\) −22.7381 10.1237i −1.32163 0.588426i
\(297\) 1.72946 2.13570i 0.100353 0.123926i
\(298\) 8.75271 + 13.4780i 0.507031 + 0.780759i
\(299\) 1.19592 + 2.07140i 0.0691619 + 0.119792i
\(300\) −0.0157717 + 0.311682i −0.000910579 + 0.0179949i
\(301\) 8.27078 + 9.64652i 0.476720 + 0.556016i
\(302\) 1.74784 + 0.890567i 0.100577 + 0.0512464i
\(303\) 0.874437 + 2.27799i 0.0502351 + 0.130867i
\(304\) −0.509215 4.84486i −0.0292055 0.277872i
\(305\) 3.72432 + 11.4273i 0.213254 + 0.654323i
\(306\) −30.8297 3.24033i −1.76242 0.185237i
\(307\) 9.86884 + 9.86884i 0.563245 + 0.563245i 0.930228 0.366983i \(-0.119609\pi\)
−0.366983 + 0.930228i \(0.619609\pi\)
\(308\) 4.52490 + 0.829717i 0.257830 + 0.0472775i
\(309\) −1.20856 0.392686i −0.0687527 0.0223391i
\(310\) −15.5158 0.799140i −0.881240 0.0453881i
\(311\) −5.16757 + 24.3115i −0.293026 + 1.37858i 0.547498 + 0.836807i \(0.315580\pi\)
−0.840525 + 0.541773i \(0.817753\pi\)
\(312\) −0.272060 0.0142581i −0.0154024 0.000807203i
\(313\) −15.3864 + 23.6929i −0.869688 + 1.33920i 0.0701337 + 0.997538i \(0.477657\pi\)
−0.939822 + 0.341665i \(0.889009\pi\)
\(314\) −4.66251 14.3497i −0.263121 0.809802i
\(315\) −6.70881 + 16.3260i −0.377999 + 0.919867i
\(316\) 2.00671 6.17603i 0.112886 0.347429i
\(317\) 0.00782561 + 0.00966382i 0.000439530 + 0.000542774i 0.777366 0.629049i \(-0.216556\pi\)
−0.776926 + 0.629592i \(0.783222\pi\)
\(318\) −0.430557 1.60686i −0.0241445 0.0901084i
\(319\) 0.600710 + 1.34922i 0.0336333 + 0.0755417i
\(320\) 11.4309 + 2.41896i 0.639008 + 0.135224i
\(321\) −0.862478 1.18710i −0.0481388 0.0662574i
\(322\) −0.315254 11.2211i −0.0175684 0.625326i
\(323\) −3.07736 + 6.03965i −0.171229 + 0.336055i
\(324\) 3.72644 2.15146i 0.207025 0.119526i
\(325\) −2.41383 + 3.73167i −0.133895 + 0.206996i
\(326\) 5.41531 9.37960i 0.299926 0.519488i
\(327\) −0.579974 + 0.0303951i −0.0320726 + 0.00168085i
\(328\) −0.347088 + 2.19143i −0.0191647 + 0.121001i
\(329\) 5.12857 + 17.1933i 0.282747 + 0.947895i
\(330\) −1.58361 + 0.338097i −0.0871748 + 0.0186116i
\(331\) 2.27598 21.6545i 0.125099 1.19024i −0.734260 0.678869i \(-0.762471\pi\)
0.859359 0.511372i \(-0.170863\pi\)
\(332\) 5.03364 1.34876i 0.276257 0.0740228i
\(333\) −29.0435 11.1487i −1.59157 0.610947i
\(334\) −4.86949 + 1.03504i −0.266447 + 0.0566350i
\(335\) −18.9297 + 15.3572i −1.03424 + 0.839054i
\(336\) 1.37339 + 0.838014i 0.0749245 + 0.0457174i
\(337\) 10.8166 + 21.2288i 0.589219 + 1.15641i 0.972528 + 0.232787i \(0.0747844\pi\)
−0.383309 + 0.923620i \(0.625216\pi\)
\(338\) −16.1460 10.4853i −0.878224 0.570325i
\(339\) 0.706727 + 0.150219i 0.0383841 + 0.00815880i
\(340\) 5.06939 + 5.06027i 0.274926 + 0.274432i
\(341\) −3.27717 15.4179i −0.177468 0.834923i
\(342\) −0.756978 4.77937i −0.0409327 0.258439i
\(343\) 18.0330 + 4.22035i 0.973690 + 0.227877i
\(344\) 6.73844 9.27467i 0.363312 0.500057i
\(345\) 0.314877 + 0.705516i 0.0169524 + 0.0379837i
\(346\) 6.08448 0.639505i 0.327104 0.0343800i
\(347\) 17.6098 + 14.2601i 0.945343 + 0.765524i 0.972209 0.234115i \(-0.0752193\pi\)
−0.0268657 + 0.999639i \(0.508553\pi\)
\(348\) −0.00134876 0.0257359i −7.23011e−5 0.00137959i
\(349\) −10.6290 −0.568958 −0.284479 0.958682i \(-0.591821\pi\)
−0.284479 + 0.958682i \(0.591821\pi\)
\(350\) 18.2936 10.0206i 0.977833 0.535625i
\(351\) −0.682905 −0.0364508
\(352\) −0.504185 9.62043i −0.0268732 0.512771i
\(353\) −3.59298 2.90954i −0.191235 0.154859i 0.528921 0.848671i \(-0.322597\pi\)
−0.720156 + 0.693812i \(0.755930\pi\)
\(354\) −1.15327 + 0.121214i −0.0612957 + 0.00644243i
\(355\) −14.3921 + 1.52578i −0.763853 + 0.0809798i
\(356\) −1.49315 + 2.05514i −0.0791366 + 0.108922i
\(357\) −0.967613 2.01872i −0.0512115 0.106842i
\(358\) 4.51147 + 28.4843i 0.238438 + 1.50544i
\(359\) 0.604866 + 2.84567i 0.0319236 + 0.150189i 0.991223 0.132204i \(-0.0422053\pi\)
−0.959299 + 0.282392i \(0.908872\pi\)
\(360\) 15.7308 + 2.47699i 0.829086 + 0.130549i
\(361\) 17.5498 + 3.73033i 0.923675 + 0.196333i
\(362\) 24.8020 + 16.1066i 1.30356 + 0.846544i
\(363\) −0.104613 0.205315i −0.00549078 0.0107763i
\(364\) −0.547391 1.00360i −0.0286911 0.0526029i
\(365\) 25.6246 1.36607i 1.34125 0.0715033i
\(366\) 1.06441 0.226248i 0.0556378 0.0118262i
\(367\) −28.5231 10.9490i −1.48890 0.571533i −0.528196 0.849123i \(-0.677131\pi\)
−0.960700 + 0.277589i \(0.910465\pi\)
\(368\) −12.3096 + 3.29835i −0.641683 + 0.171938i
\(369\) −0.289877 + 2.75800i −0.0150904 + 0.143576i
\(370\) 18.4103 + 31.8213i 0.957104 + 1.65431i
\(371\) −14.9346 + 15.7980i −0.775365 + 0.820192i
\(372\) −0.0430264 + 0.271658i −0.00223081 + 0.0140848i
\(373\) −14.2402 + 0.746297i −0.737329 + 0.0386418i −0.417304 0.908767i \(-0.637025\pi\)
−0.320026 + 0.947409i \(0.603692\pi\)
\(374\) −18.5828 + 32.1863i −0.960892 + 1.66431i
\(375\) −0.900415 + 1.11808i −0.0464972 + 0.0577375i
\(376\) 14.0186 8.09365i 0.722955 0.417398i
\(377\) 0.166617 0.327005i 0.00858123 0.0168416i
\(378\) 2.81956 + 1.52394i 0.145022 + 0.0783829i
\(379\) 17.6898 + 24.3480i 0.908666 + 1.25067i 0.967620 + 0.252410i \(0.0812233\pi\)
−0.0589546 + 0.998261i \(0.518777\pi\)
\(380\) −0.558172 + 0.968796i −0.0286336 + 0.0496982i
\(381\) 0.506305 + 1.13718i 0.0259388 + 0.0582595i
\(382\) 3.13701 + 11.7075i 0.160504 + 0.599007i
\(383\) −12.7747 15.7754i −0.652756 0.806087i 0.338085 0.941115i \(-0.390221\pi\)
−0.990842 + 0.135028i \(0.956887\pi\)
\(384\) 0.540629 1.66389i 0.0275889 0.0849098i
\(385\) 14.6097 + 15.3091i 0.744579 + 0.780224i
\(386\) −6.99857 21.5394i −0.356218 1.09633i
\(387\) 7.80408 12.0172i 0.396704 0.610870i
\(388\) 7.34866 + 0.385127i 0.373072 + 0.0195519i
\(389\) −0.551377 + 2.59402i −0.0279559 + 0.131522i −0.989912 0.141680i \(-0.954750\pi\)
0.961957 + 0.273202i \(0.0880829\pi\)
\(390\) 0.312945 + 0.252951i 0.0158466 + 0.0128087i
\(391\) 16.8644 + 5.47958i 0.852870 + 0.277114i
\(392\) −0.0637432 16.7090i −0.00321952 0.843933i
\(393\) −1.64900 1.64900i −0.0831810 0.0831810i
\(394\) −3.21195 0.337589i −0.161816 0.0170075i
\(395\) 24.1509 17.5799i 1.21516 0.884541i
\(396\) −0.542256 5.15922i −0.0272494 0.259260i
\(397\) −4.32531 11.2678i −0.217081 0.565516i 0.781190 0.624293i \(-0.214613\pi\)
−0.998271 + 0.0587777i \(0.981280\pi\)
\(398\) −8.25450 4.20588i −0.413761 0.210822i
\(399\) 0.265288 0.227454i 0.0132810 0.0113869i
\(400\) −15.8764 17.5688i −0.793819 0.878438i
\(401\) −13.8545 23.9967i −0.691861 1.19834i −0.971227 0.238154i \(-0.923458\pi\)
0.279366 0.960185i \(-0.409876\pi\)
\(402\) 1.20202 + 1.85094i 0.0599511 + 0.0923166i
\(403\) −2.46498 + 3.04399i −0.122789 + 0.151632i
\(404\) 8.43896 + 3.75727i 0.419854 + 0.186931i
\(405\) 19.6869 + 2.05125i 0.978248 + 0.101927i
\(406\) −1.41765 + 0.978312i −0.0703569 + 0.0485528i
\(407\) −26.3735 + 26.3735i −1.30728 + 1.30728i
\(408\) −1.56962 + 1.27105i −0.0777078 + 0.0629265i
\(409\) −2.31404 2.57000i −0.114422 0.127078i 0.683213 0.730220i \(-0.260582\pi\)
−0.797634 + 0.603141i \(0.793916\pi\)
\(410\) 2.31521 2.31938i 0.114340 0.114546i
\(411\) −1.17082 1.05421i −0.0577522 0.0520004i
\(412\) −4.28650 + 2.18408i −0.211181 + 0.107602i
\(413\) 9.24831 + 12.0052i 0.455080 + 0.590735i
\(414\) −12.0390 + 3.91172i −0.591686 + 0.192250i
\(415\) 22.3871 + 8.57047i 1.09894 + 0.420708i
\(416\) −1.77904 + 1.60185i −0.0872245 + 0.0785373i
\(417\) 0.222704 0.580163i 0.0109058 0.0284107i
\(418\) −5.60377 1.50153i −0.274089 0.0734420i
\(419\) −2.09086 1.51910i −0.102145 0.0742128i 0.535540 0.844510i \(-0.320108\pi\)
−0.637685 + 0.770297i \(0.720108\pi\)
\(420\) −0.142266 0.340752i −0.00694189 0.0166270i
\(421\) 2.23083 1.62080i 0.108724 0.0789928i −0.532095 0.846685i \(-0.678595\pi\)
0.640819 + 0.767692i \(0.278595\pi\)
\(422\) 27.5773 10.5859i 1.34244 0.515315i
\(423\) 16.9683 11.0193i 0.825026 0.535778i
\(424\) 16.9861 + 9.80692i 0.824917 + 0.476266i
\(425\) 5.21291 + 32.5336i 0.252863 + 1.57811i
\(426\) 1.31037i 0.0634877i
\(427\) −9.80868 10.2968i −0.474676 0.498297i
\(428\) −5.48667 0.869002i −0.265208 0.0420048i
\(429\) −0.166047 + 0.372948i −0.00801682 + 0.0180061i
\(430\) −16.0994 + 5.24703i −0.776380 + 0.253034i
\(431\) 9.59014 4.26981i 0.461941 0.205669i −0.162552 0.986700i \(-0.551972\pi\)
0.624493 + 0.781031i \(0.285306\pi\)
\(432\) 0.941726 3.51457i 0.0453088 0.169095i
\(433\) −0.117809 + 0.0186591i −0.00566154 + 0.000896700i −0.159265 0.987236i \(-0.550912\pi\)
0.153603 + 0.988133i \(0.450912\pi\)
\(434\) 16.9701 7.06722i 0.814593 0.339237i
\(435\) 0.0644759 0.0994802i 0.00309138 0.00476971i
\(436\) −1.47121 + 1.63394i −0.0704581 + 0.0782516i
\(437\) −0.144864 + 2.76417i −0.00692979 + 0.132228i
\(438\) 0.121595 2.32017i 0.00581004 0.110862i
\(439\) 22.7045 25.2159i 1.08362 1.20349i 0.105729 0.994395i \(-0.466282\pi\)
0.977896 0.209092i \(-0.0670508\pi\)
\(440\) 10.3839 16.0214i 0.495033 0.763789i
\(441\) −1.17257 20.8516i −0.0558367 0.992936i
\(442\) 9.12184 1.44476i 0.433881 0.0687201i
\(443\) −3.68199 + 13.7414i −0.174937 + 0.652872i 0.821626 + 0.570027i \(0.193067\pi\)
−0.996562 + 0.0828450i \(0.973599\pi\)
\(444\) 0.594560 0.264715i 0.0282165 0.0125628i
\(445\) −11.1102 + 3.62097i −0.526672 + 0.171651i
\(446\) −7.12983 + 16.0139i −0.337607 + 0.758278i
\(447\) 1.29260 + 0.204727i 0.0611377 + 0.00968326i
\(448\) −13.4366 + 3.25296i −0.634820 + 0.153688i
\(449\) 34.5384i 1.62997i −0.579485 0.814983i \(-0.696746\pi\)
0.579485 0.814983i \(-0.303254\pi\)
\(450\) −16.6619 16.6019i −0.785447 0.782623i
\(451\) 2.87936 + 1.66240i 0.135584 + 0.0782793i
\(452\) 2.29402 1.48976i 0.107902 0.0700723i
\(453\) 0.149135 0.0572477i 0.00700699 0.00268973i
\(454\) 24.6067 17.8778i 1.15485 0.839046i
\(455\) 0.671742 5.21551i 0.0314917 0.244507i
\(456\) −0.255062 0.185313i −0.0119444 0.00867809i
\(457\) −11.9839 3.21108i −0.560584 0.150208i −0.0326096 0.999468i \(-0.510382\pi\)
−0.527975 + 0.849260i \(0.677048\pi\)
\(458\) −15.3580 + 40.0091i −0.717634 + 1.86950i
\(459\) −3.76241 + 3.38769i −0.175614 + 0.158124i
\(460\) 2.73157 + 1.04573i 0.127360 + 0.0487574i
\(461\) −5.98374 + 1.94423i −0.278691 + 0.0905520i −0.445027 0.895517i \(-0.646806\pi\)
0.166337 + 0.986069i \(0.446806\pi\)
\(462\) 1.51782 1.16927i 0.0706154 0.0543994i
\(463\) −9.49520 + 4.83804i −0.441279 + 0.224843i −0.660490 0.750834i \(-0.729652\pi\)
0.219211 + 0.975677i \(0.429652\pi\)
\(464\) 1.45317 + 1.30844i 0.0674615 + 0.0607426i
\(465\) −0.893826 + 0.895437i −0.0414502 + 0.0415249i
\(466\) −23.4259 26.0171i −1.08518 1.20522i
\(467\) −28.4949 + 23.0747i −1.31859 + 1.06777i −0.326113 + 0.945331i \(0.605739\pi\)
−0.992476 + 0.122441i \(0.960928\pi\)
\(468\) −0.911541 + 0.911541i −0.0421360 + 0.0421360i
\(469\) 12.3670 26.0558i 0.571056 1.20315i
\(470\) −23.7804 2.47777i −1.09691 0.114291i
\(471\) −1.12247 0.499758i −0.0517209 0.0230276i
\(472\) 8.60432 10.6255i 0.396046 0.489076i
\(473\) −9.35637 14.4075i −0.430206 0.662460i
\(474\) −1.35230 2.34225i −0.0621132 0.107583i
\(475\) −4.69477 + 2.10039i −0.215411 + 0.0963724i
\(476\) −7.99435 2.81380i −0.366421 0.128970i
\(477\) 21.8432 + 11.1296i 1.00013 + 0.509592i
\(478\) 16.4960 + 42.9735i 0.754509 + 1.96556i
\(479\) −2.02142 19.2326i −0.0923612 0.878758i −0.938380 0.345605i \(-0.887674\pi\)
0.846019 0.533153i \(-0.178993\pi\)
\(480\) −0.625177 + 0.455079i −0.0285353 + 0.0207714i
\(481\) 9.21761 + 0.968810i 0.420287 + 0.0441739i
\(482\) −2.09462 2.09462i −0.0954076 0.0954076i
\(483\) −0.696252 0.592363i −0.0316806 0.0269534i
\(484\) −0.829672 0.269577i −0.0377124 0.0122535i
\(485\) 26.3257 + 21.2789i 1.19539 + 0.966225i
\(486\) 1.12819 5.30770i 0.0511756 0.240762i
\(487\) 0.438600 + 0.0229860i 0.0198749 + 0.00104160i 0.0622708 0.998059i \(-0.480166\pi\)
−0.0423959 + 0.999101i \(0.513499\pi\)
\(488\) −6.98784 + 10.7603i −0.316325 + 0.487097i
\(489\) −0.272549 0.838820i −0.0123251 0.0379328i
\(490\) −14.4121 + 20.0346i −0.651074 + 0.905071i
\(491\) 7.42044 22.8378i 0.334880 1.03065i −0.631902 0.775049i \(-0.717725\pi\)
0.966781 0.255605i \(-0.0822747\pi\)
\(492\) −0.0365107 0.0450869i −0.00164603 0.00203268i
\(493\) −0.704209 2.62814i −0.0317160 0.118366i
\(494\) 0.586370 + 1.31701i 0.0263820 + 0.0592550i
\(495\) 11.9129 20.6768i 0.535446 0.929352i
\(496\) −12.2667 16.8837i −0.550791 0.758099i
\(497\) 14.5839 8.97530i 0.654175 0.402597i
\(498\) 0.985339 1.93384i 0.0441541 0.0866573i
\(499\) 4.58467 2.64696i 0.205238 0.118494i −0.393858 0.919171i \(-0.628860\pi\)
0.599096 + 0.800677i \(0.295527\pi\)
\(500\) 0.582690 + 5.40346i 0.0260587 + 0.241650i
\(501\) −0.202702 + 0.351090i −0.00905606 + 0.0156856i
\(502\) 25.8479 1.35463i 1.15365 0.0604603i
\(503\) 0.292858 1.84903i 0.0130579 0.0824444i −0.980299 0.197520i \(-0.936711\pi\)
0.993357 + 0.115076i \(0.0367111\pi\)
\(504\) −18.0561 + 5.38594i −0.804282 + 0.239909i
\(505\) 21.2796 + 36.7807i 0.946928 + 1.63672i
\(506\) −1.58637 + 15.0933i −0.0705229 + 0.670980i
\(507\) −1.51435 + 0.405768i −0.0672545 + 0.0180208i
\(508\) 4.39957 + 1.68884i 0.195199 + 0.0749300i
\(509\) 4.91131 1.04393i 0.217690 0.0462714i −0.0977755 0.995208i \(-0.531173\pi\)
0.315465 + 0.948937i \(0.397839\pi\)
\(510\) 2.97896 0.158811i 0.131910 0.00703225i
\(511\) −26.6554 + 14.5386i −1.17916 + 0.643150i
\(512\) 4.47382 + 8.78037i 0.197717 + 0.388041i
\(513\) −0.662796 0.430425i −0.0292631 0.0190037i
\(514\) 9.89542 + 2.10334i 0.436468 + 0.0927742i
\(515\) −21.8605 3.44219i −0.963290 0.151681i
\(516\) 0.0623247 + 0.293215i 0.00274369 + 0.0129081i
\(517\) −3.79459 23.9581i −0.166886 1.05368i
\(518\) −35.8954 24.5696i −1.57715 1.07952i
\(519\) 0.292844 0.403066i 0.0128544 0.0176926i
\(520\) −4.71791 + 0.500168i −0.206894 + 0.0219338i
\(521\) −18.7192 + 1.96746i −0.820101 + 0.0861961i −0.505281 0.862955i \(-0.668611\pi\)
−0.314821 + 0.949151i \(0.601944\pi\)
\(522\) 1.50948 + 1.22236i 0.0660683 + 0.0535010i
\(523\) −0.0908633 1.73377i −0.00397317 0.0758127i 0.995923 0.0902046i \(-0.0287521\pi\)
−0.999896 + 0.0143919i \(0.995419\pi\)
\(524\) −8.82866 −0.385682
\(525\) 0.390399 1.65311i 0.0170384 0.0721478i
\(526\) 8.59967 0.374964
\(527\) 1.51975 + 28.9986i 0.0662015 + 1.26320i
\(528\) −1.69040 1.36885i −0.0735650 0.0595718i
\(529\) −15.6727 + 1.64727i −0.681423 + 0.0716205i
\(530\) −11.8071 26.4550i −0.512866 1.14913i
\(531\) 10.0447 13.8253i 0.435902 0.599967i
\(532\) 0.101281 1.31906i 0.00439108 0.0571884i
\(533\) −0.129247 0.816031i −0.00559830 0.0353462i
\(534\) 0.219970 + 1.03488i 0.00951902 + 0.0447835i
\(535\) −18.0851 18.0526i −0.781888 0.780481i
\(536\) −25.4527 5.41013i −1.09939 0.233682i
\(537\) 1.96964 + 1.27910i 0.0849961 + 0.0551971i
\(538\) −8.68114 17.0377i −0.374271 0.734547i
\(539\) −23.4097 8.88383i −1.00833 0.382653i
\(540\) −0.648520 + 0.526129i −0.0279079 + 0.0226410i
\(541\) 12.8851 2.73881i 0.553974 0.117751i 0.0775854 0.996986i \(-0.475279\pi\)
0.476388 + 0.879235i \(0.341946\pi\)
\(542\) −20.9106 8.02681i −0.898185 0.344781i
\(543\) 2.32621 0.623305i 0.0998270 0.0267486i
\(544\) −1.85515 + 17.6505i −0.0795388 + 0.756761i
\(545\) −9.89102 + 2.11171i −0.423685 + 0.0904559i
\(546\) −0.463172 0.110264i −0.0198219 0.00471885i
\(547\) 4.06079 25.6388i 0.173627 1.09624i −0.734828 0.678253i \(-0.762737\pi\)
0.908455 0.417983i \(-0.137263\pi\)
\(548\) −5.95635 + 0.312159i −0.254443 + 0.0133348i
\(549\) −8.01819 + 13.8879i −0.342208 + 0.592722i
\(550\) −26.3084 + 10.1532i −1.12179 + 0.432936i
\(551\) 0.367817 0.212359i 0.0156695 0.00904682i
\(552\) −0.374428 + 0.734857i −0.0159367 + 0.0312776i
\(553\) −16.8057 + 31.0936i −0.714653 + 1.32223i
\(554\) −8.72976 12.0155i −0.370892 0.510489i
\(555\) 2.92893 + 0.619808i 0.124326 + 0.0263094i
\(556\) −0.956909 2.14925i −0.0405820 0.0911486i
\(557\) −3.72592 13.9053i −0.157872 0.589188i −0.998842 0.0481059i \(-0.984682\pi\)
0.840970 0.541082i \(-0.181985\pi\)
\(558\) −13.0456 16.1100i −0.552266 0.681991i
\(559\) −1.31918 + 4.06001i −0.0557952 + 0.171720i
\(560\) 25.9153 + 10.6493i 1.09512 + 0.450015i
\(561\) 0.935259 + 2.87843i 0.0394867 + 0.121527i
\(562\) −1.03705 + 1.59692i −0.0437454 + 0.0673620i
\(563\) 41.4901 + 2.17441i 1.74860 + 0.0916403i 0.899590 0.436735i \(-0.143865\pi\)
0.849011 + 0.528376i \(0.177199\pi\)
\(564\) −0.0880023 + 0.414018i −0.00370556 + 0.0174333i
\(565\) 12.5658 + 0.647197i 0.528645 + 0.0272278i
\(566\) −7.89661 2.56577i −0.331919 0.107847i
\(567\) −22.0616 + 7.85982i −0.926501 + 0.330081i
\(568\) −10.9246 10.9246i −0.458388 0.458388i
\(569\) −23.0473 2.42237i −0.966192 0.101551i −0.391728 0.920081i \(-0.628123\pi\)
−0.574463 + 0.818530i \(0.694789\pi\)
\(570\) 0.144298 + 0.442747i 0.00604398 + 0.0185446i
\(571\) −0.913150 8.68804i −0.0382141 0.363583i −0.996873 0.0790244i \(-0.974820\pi\)
0.958659 0.284559i \(-0.0918472\pi\)
\(572\) 0.553868 + 1.44287i 0.0231584 + 0.0603296i
\(573\) 0.879448 + 0.448101i 0.0367395 + 0.0187197i
\(574\) −1.28739 + 3.65762i −0.0537345 + 0.152666i
\(575\) 7.34815 + 11.2707i 0.306439 + 0.470020i
\(576\) 7.79483 + 13.5010i 0.324785 + 0.562544i
\(577\) 7.30287 + 11.2454i 0.304023 + 0.468154i 0.957354 0.288919i \(-0.0932957\pi\)
−0.653331 + 0.757072i \(0.726629\pi\)
\(578\) 26.2203 32.3794i 1.09062 1.34681i
\(579\) −1.68487 0.750152i −0.0700208 0.0311753i
\(580\) −0.0937057 0.438907i −0.00389092 0.0182246i
\(581\) −28.2718 + 2.27931i −1.17291 + 0.0945615i
\(582\) 2.16715 2.16715i 0.0898313 0.0898313i
\(583\) 22.8414 18.4966i 0.945995 0.766051i
\(584\) 18.3297 + 20.3572i 0.758488 + 0.842386i
\(585\) −5.85607 + 0.932917i −0.242119 + 0.0385714i
\(586\) 24.8580 + 22.3823i 1.02688 + 0.924603i
\(587\) −6.86391 + 3.49734i −0.283304 + 0.144350i −0.589868 0.807499i \(-0.700820\pi\)
0.306565 + 0.951850i \(0.400820\pi\)
\(588\) 0.325802 + 0.291111i 0.0134359 + 0.0120052i
\(589\) −4.31098 + 1.40072i −0.177631 + 0.0577157i
\(590\) −19.5017 + 5.24429i −0.802872 + 0.215904i
\(591\) −0.195451 + 0.175984i −0.00803976 + 0.00723903i
\(592\) −17.6971 + 46.1024i −0.727345 + 1.89480i
\(593\) 39.7071 + 10.6395i 1.63057 + 0.436911i 0.954084 0.299540i \(-0.0968331\pi\)
0.676491 + 0.736451i \(0.263500\pi\)
\(594\) −3.50555 2.54693i −0.143834 0.104502i
\(595\) −22.1717 32.0667i −0.908950 1.31461i
\(596\) 4.00830 2.91220i 0.164186 0.119288i
\(597\) −0.704321 + 0.270364i −0.0288259 + 0.0110652i
\(598\) 3.16289 2.05400i 0.129340 0.0839944i
\(599\) 22.8775 + 13.2083i 0.934750 + 0.539678i 0.888311 0.459243i \(-0.151879\pi\)
0.0464390 + 0.998921i \(0.485213\pi\)
\(600\) −1.53248 + 0.00276008i −0.0625631 + 0.000112680i
\(601\) 9.66655i 0.394307i −0.980373 0.197153i \(-0.936830\pi\)
0.980373 0.197153i \(-0.0631697\pi\)
\(602\) 14.5067 13.8190i 0.591248 0.563221i
\(603\) −32.1234 5.08784i −1.30816 0.207193i
\(604\) 0.245981 0.552482i 0.0100088 0.0224802i
\(605\) −2.36164 3.24437i −0.0960143 0.131902i
\(606\) 3.51471 1.56485i 0.142775 0.0635676i
\(607\) 7.29707 27.2330i 0.296179 1.10535i −0.644098 0.764943i \(-0.722767\pi\)
0.940277 0.340412i \(-0.110566\pi\)
\(608\) −2.73628 + 0.433384i −0.110971 + 0.0175760i
\(609\) −0.0180432 + 0.139102i −0.000731149 + 0.00563669i
\(610\) 17.6858 6.80721i 0.716076 0.275616i
\(611\) −4.03334 + 4.47948i −0.163171 + 0.181220i
\(612\) −0.500177 + 9.54394i −0.0202184 + 0.385791i
\(613\) −0.186043 + 3.54991i −0.00751421 + 0.143380i 0.992296 + 0.123891i \(0.0395372\pi\)
−0.999810 + 0.0194889i \(0.993796\pi\)
\(614\) 14.7249 16.3536i 0.594248 0.659979i
\(615\) −0.0142071 0.266495i −0.000572884 0.0107461i
\(616\) −2.90588 + 22.4024i −0.117081 + 0.902620i
\(617\) 30.7567 4.87138i 1.23822 0.196114i 0.497222 0.867623i \(-0.334354\pi\)
0.740996 + 0.671509i \(0.234354\pi\)
\(618\) −0.518583 + 1.93538i −0.0208605 + 0.0778523i
\(619\) −43.7743 + 19.4896i −1.75944 + 0.783351i −0.770060 + 0.637972i \(0.779774\pi\)
−0.989376 + 0.145379i \(0.953560\pi\)
\(620\) 0.00431336 + 4.78981i 0.000173229 + 0.192363i
\(621\) −0.840883 + 1.88865i −0.0337435 + 0.0757891i
\(622\) 38.7068 + 6.13055i 1.55200 + 0.245813i
\(623\) 10.0110 9.53649i 0.401084 0.382071i
\(624\) 0.540515i 0.0216379i
\(625\) −12.4219 + 21.6955i −0.496877 + 0.867821i
\(626\) 38.5760 + 22.2719i 1.54181 + 0.890163i
\(627\) −0.396221 + 0.257309i −0.0158235 + 0.0102759i
\(628\) −4.34268 + 1.66700i −0.173292 + 0.0665204i
\(629\) 55.5896 40.3882i 2.21650 1.61038i
\(630\) 26.2602 + 9.21632i 1.04623 + 0.367187i
\(631\) −9.95692 7.23413i −0.396379 0.287986i 0.371686 0.928359i \(-0.378780\pi\)
−0.768064 + 0.640373i \(0.778780\pi\)
\(632\) 30.8017 + 8.25329i 1.22523 + 0.328298i
\(633\) 0.862061 2.24574i 0.0342638 0.0892603i
\(634\) 0.0145707 0.0131195i 0.000578675 0.000521041i
\(635\) 11.8230 + 18.1699i 0.469180 + 0.721051i
\(636\) −0.487764 + 0.158484i −0.0193411 + 0.00628430i
\(637\) 1.94528 + 5.91014i 0.0770748 + 0.234168i
\(638\) 2.07488 1.05720i 0.0821451 0.0418550i
\(639\) −14.3505 12.9213i −0.567698 0.511157i
\(640\) 4.73903 30.0965i 0.187327 1.18967i
\(641\) 20.2434 + 22.4826i 0.799568 + 0.888010i 0.995707 0.0925658i \(-0.0295069\pi\)
−0.196138 + 0.980576i \(0.562840\pi\)
\(642\) −1.79801 + 1.45600i −0.0709617 + 0.0574636i
\(643\) 30.5033 30.5033i 1.20293 1.20293i 0.229664 0.973270i \(-0.426237\pi\)
0.973270 0.229664i \(-0.0737627\pi\)
\(644\) −3.44959 + 0.278110i −0.135933 + 0.0109591i
\(645\) −0.559722 + 1.26021i −0.0220390 + 0.0496207i
\(646\) 9.76384 + 4.34714i 0.384153 + 0.171036i
\(647\) 3.68133 4.54606i 0.144728 0.178724i −0.699627 0.714508i \(-0.746651\pi\)
0.844355 + 0.535784i \(0.179984\pi\)
\(648\) 11.5080 + 17.7208i 0.452078 + 0.696139i
\(649\) −10.2441 17.7433i −0.402115 0.696484i
\(650\) 6.07500 + 3.49283i 0.238281 + 0.137000i
\(651\) 0.497018 1.41209i 0.0194797 0.0553442i
\(652\) −2.97511 1.51589i −0.116514 0.0593670i
\(653\) −11.3188 29.4865i −0.442939 1.15390i −0.955434 0.295205i \(-0.904612\pi\)
0.512495 0.858690i \(-0.328721\pi\)
\(654\) 0.0957189 + 0.910705i 0.00374291 + 0.0356114i
\(655\) −32.8771 23.8414i −1.28461 0.931561i
\(656\) 4.37793 + 0.460139i 0.170930 + 0.0179654i
\(657\) 24.2104 + 24.2104i 0.944536 + 0.944536i
\(658\) 26.6489 9.49412i 1.03888 0.370119i
\(659\) −15.9469 5.18146i −0.621202 0.201841i −0.0185282 0.999828i \(-0.505898\pi\)
−0.602674 + 0.797988i \(0.705898\pi\)
\(660\) 0.129643 + 0.482096i 0.00504634 + 0.0187656i
\(661\) −3.02029 + 14.2094i −0.117476 + 0.552680i 0.879563 + 0.475782i \(0.157835\pi\)
−0.997039 + 0.0768979i \(0.975498\pi\)
\(662\) −34.2846 1.79678i −1.33251 0.0698337i
\(663\) 0.409619 0.630758i 0.0159083 0.0244966i
\(664\) 7.90768 + 24.3373i 0.306878 + 0.944472i
\(665\) 3.93922 4.63854i 0.152756 0.179875i
\(666\) −15.1579 + 46.6512i −0.587356 + 1.80770i
\(667\) −0.699210 0.863452i −0.0270735 0.0334330i
\(668\) 0.397232 + 1.48249i 0.0153693 + 0.0573592i
\(669\) 0.580615 + 1.30408i 0.0224479 + 0.0504187i
\(670\) 25.7432 + 28.5390i 0.994546 + 1.10256i
\(671\) 11.3008 + 15.5543i 0.436264 + 0.600466i
\(672\) 0.435039 0.804899i 0.0167820 0.0310496i
\(673\) −13.3101 + 26.1226i −0.513068 + 1.00695i 0.478588 + 0.878039i \(0.341149\pi\)
−0.991656 + 0.128912i \(0.958851\pi\)
\(674\) 32.5338 18.7834i 1.25316 0.723510i
\(675\) −3.83581 + 0.207955i −0.147641 + 0.00800418i
\(676\) −2.96764 + 5.14010i −0.114140 + 0.197696i
\(677\) 21.3039 1.11649i 0.818776 0.0429102i 0.361652 0.932313i \(-0.382213\pi\)
0.457124 + 0.889403i \(0.348880\pi\)
\(678\) 0.178213 1.12519i 0.00684423 0.0432128i
\(679\) −38.9632 9.27567i −1.49527 0.355967i
\(680\) −23.5117 + 26.1598i −0.901634 + 1.00318i
\(681\) 0.258904 2.46331i 0.00992122 0.0943941i
\(682\) −24.0062 + 6.43243i −0.919244 + 0.246311i
\(683\) −27.3101 10.4833i −1.04499 0.401134i −0.225510 0.974241i \(-0.572405\pi\)
−0.819481 + 0.573107i \(0.805738\pi\)
\(684\) −1.45923 + 0.310169i −0.0557950 + 0.0118596i
\(685\) −23.0238 14.9224i −0.879696 0.570156i
\(686\) 5.15718 28.7426i 0.196902 1.09740i
\(687\) 1.58439 + 3.10954i 0.0604483 + 0.118636i
\(688\) −19.0757 12.3879i −0.727253 0.472284i
\(689\) −7.14408 1.51852i −0.272168 0.0578511i
\(690\) 1.08491 0.554018i 0.0413016 0.0210911i
\(691\) −3.59164 16.8973i −0.136632 0.642804i −0.992152 0.125035i \(-0.960096\pi\)
0.855520 0.517770i \(-0.173238\pi\)
\(692\) −0.295060 1.86293i −0.0112165 0.0708181i
\(693\) −2.16161 + 28.1523i −0.0821129 + 1.06942i
\(694\) 21.0005 28.9047i 0.797168 1.09721i
\(695\) 2.24052 10.5877i 0.0849879 0.401614i
\(696\) 0.125857 0.0132281i 0.00477059 0.000501410i
\(697\) −4.76016 3.85470i −0.180304 0.146007i
\(698\) 0.877107 + 16.7362i 0.0331990 + 0.633474i
\(699\) −2.85098 −0.107834
\(700\) −3.38025 5.47043i −0.127762 0.206763i
\(701\) −16.6238 −0.627872 −0.313936 0.949444i \(-0.601648\pi\)
−0.313936 + 0.949444i \(0.601648\pi\)
\(702\) 0.0563534 + 1.07529i 0.00212692 + 0.0405841i
\(703\) 8.33556 + 6.75000i 0.314382 + 0.254581i
\(704\) 18.5882 1.95370i 0.700568 0.0736327i
\(705\) −1.44575 + 1.30412i −0.0544501 + 0.0491159i
\(706\) −4.28480 + 5.89752i −0.161261 + 0.221956i
\(707\) −41.4898 28.3988i −1.56039 1.06805i
\(708\) 0.0559265 + 0.353106i 0.00210185 + 0.0132705i
\(709\) −0.152838 0.719046i −0.00573995 0.0270043i 0.975184 0.221394i \(-0.0710607\pi\)
−0.980924 + 0.194390i \(0.937727\pi\)
\(710\) 3.59009 + 22.5356i 0.134734 + 0.845745i
\(711\) 38.9859 + 8.28670i 1.46208 + 0.310776i
\(712\) −10.4617 6.79392i −0.392070 0.254613i
\(713\) 5.38332 + 10.5654i 0.201607 + 0.395676i
\(714\) −3.09879 + 1.69017i −0.115969 + 0.0632529i
\(715\) −1.83387 + 6.86883i −0.0685828 + 0.256880i
\(716\) 8.69677 1.84856i 0.325014 0.0690838i
\(717\) 3.49953 + 1.34334i 0.130692 + 0.0501681i
\(718\) 4.43081 1.18723i 0.165357 0.0443071i
\(719\) −2.67423 + 25.4436i −0.0997318 + 0.948885i 0.824193 + 0.566310i \(0.191629\pi\)
−0.923924 + 0.382575i \(0.875037\pi\)
\(720\) 3.27426 31.4247i 0.122025 1.17113i
\(721\) 25.0919 7.48465i 0.934472 0.278743i
\(722\) 4.42548 27.9414i 0.164699 1.03987i
\(723\) −0.240899 + 0.0126250i −0.00895912 + 0.000469528i
\(724\) 4.55862 7.89576i 0.169420 0.293444i
\(725\) 0.836297 1.88749i 0.0310593 0.0700998i
\(726\) −0.314652 + 0.181665i −0.0116778 + 0.00674221i
\(727\) 0.931344 1.82787i 0.0345416 0.0677918i −0.873091 0.487558i \(-0.837888\pi\)
0.907632 + 0.419766i \(0.137888\pi\)
\(728\) 4.78077 2.94222i 0.177187 0.109046i
\(729\) 15.3493 + 21.1265i 0.568492 + 0.782463i
\(730\) −4.26552 40.2352i −0.157874 1.48917i
\(731\) 12.8726 + 28.9123i 0.476110 + 1.06936i
\(732\) −0.0868302 0.324055i −0.00320934 0.0119774i
\(733\) −7.00513 8.65061i −0.258740 0.319518i 0.631178 0.775638i \(-0.282572\pi\)
−0.889918 + 0.456121i \(0.849239\pi\)
\(734\) −14.8863 + 45.8154i −0.549464 + 1.69108i
\(735\) 0.427125 + 1.96388i 0.0157547 + 0.0724389i
\(736\) 2.23953 + 6.89255i 0.0825500 + 0.254063i
\(737\) −21.2371 + 32.7023i −0.782279 + 1.20460i
\(738\) 4.36660 + 0.228844i 0.160737 + 0.00842386i
\(739\) −4.86660 + 22.8956i −0.179021 + 0.842227i 0.793346 + 0.608770i \(0.208337\pi\)
−0.972367 + 0.233456i \(0.924996\pi\)
\(740\) 9.49989 6.18147i 0.349223 0.227235i
\(741\) 0.111654 + 0.0362785i 0.00410171 + 0.00133273i
\(742\) 26.1076 + 22.2120i 0.958440 + 0.815429i
\(743\) 9.74553 + 9.74553i 0.357529 + 0.357529i 0.862901 0.505373i \(-0.168645\pi\)
−0.505373 + 0.862901i \(0.668645\pi\)
\(744\) −1.34321 0.141177i −0.0492446 0.00517581i
\(745\) 22.7908 0.0205237i 0.834989 0.000751931i
\(746\) 2.35020 + 22.3607i 0.0860471 + 0.818683i
\(747\) 11.4622 + 29.8600i 0.419380 + 1.09252i
\(748\) 10.2092 + 5.20182i 0.373284 + 0.190198i
\(749\) 28.5199 + 10.0383i 1.04210 + 0.366790i
\(750\) 1.83481 + 1.32551i 0.0669977 + 0.0484007i
\(751\) −12.3488 21.3888i −0.450616 0.780490i 0.547808 0.836604i \(-0.315462\pi\)
−0.998424 + 0.0561142i \(0.982129\pi\)
\(752\) −17.4916 26.9348i −0.637855 0.982210i
\(753\) 1.32649 1.63807i 0.0483398 0.0596947i
\(754\) −0.528644 0.235367i −0.0192521 0.00857158i
\(755\) 2.40796 1.39313i 0.0876347 0.0507012i
\(756\) 0.423687 0.892656i 0.0154093 0.0324656i
\(757\) −4.91711 + 4.91711i −0.178715 + 0.178715i −0.790796 0.612080i \(-0.790333\pi\)
0.612080 + 0.790796i \(0.290333\pi\)
\(758\) 36.8780 29.8632i 1.33947 1.08468i
\(759\) 0.826971 + 0.918445i 0.0300172 + 0.0333374i
\(760\) −4.89423 2.48819i −0.177532 0.0902560i
\(761\) −19.9994 18.0075i −0.724977 0.652773i 0.221641 0.975128i \(-0.428859\pi\)
−0.946619 + 0.322356i \(0.895525\pi\)
\(762\) 1.74880 0.891057i 0.0633523 0.0322796i
\(763\) 9.48012 7.30313i 0.343203 0.264391i
\(764\) 3.55381 1.15470i 0.128573 0.0417757i
\(765\) −27.6356 + 34.1900i −0.999167 + 1.23614i
\(766\) −23.7855 + 21.4165i −0.859404 + 0.773811i
\(767\) −1.82454 + 4.75309i −0.0658804 + 0.171624i
\(768\) −1.36839 0.366659i −0.0493776 0.0132307i
\(769\) −39.8628 28.9620i −1.43749 1.04440i −0.988560 0.150829i \(-0.951806\pi\)
−0.448929 0.893567i \(-0.648194\pi\)
\(770\) 22.8997 24.2674i 0.825250 0.874537i
\(771\) 0.666494 0.484237i 0.0240032 0.0174394