Properties

Label 483.2.y.b.4.7
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.342635 + 0.481163i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.540016 + 1.56028i) q^{4} +(0.0918733 - 1.92866i) q^{5} +(0.386821 + 0.446415i) q^{6} +(-2.12937 + 1.57028i) q^{7} +(-2.06930 - 0.607603i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.342635 + 0.481163i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.540016 + 1.56028i) q^{4} +(0.0918733 - 1.92866i) q^{5} +(0.386821 + 0.446415i) q^{6} +(-2.12937 + 1.57028i) q^{7} +(-2.06930 - 0.607603i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.896520 + 0.705031i) q^{10} +(3.54514 + 4.97845i) q^{11} +(1.64361 - 0.156945i) q^{12} +(-0.534711 + 3.71900i) q^{13} +(-0.0259649 - 1.56261i) q^{14} +(-1.85263 - 0.543982i) q^{15} +(-1.59431 + 1.25378i) q^{16} +(4.91186 - 0.946684i) q^{17} +(0.525028 - 0.270671i) q^{18} +(1.97899 + 0.381419i) q^{19} +(3.05885 - 0.898159i) q^{20} +(1.02400 + 2.43955i) q^{21} -3.61013 q^{22} +(2.80757 + 3.88813i) q^{23} +(-1.07833 + 1.86773i) q^{24} +(1.26608 + 0.120896i) q^{25} +(-1.60623 - 1.53154i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-3.59996 - 2.47443i) q^{28} +(-1.00012 - 1.15420i) q^{29} +(0.896520 - 0.705031i) q^{30} +(2.47476 - 2.35967i) q^{31} +(-0.262243 - 5.50515i) q^{32} +(5.67391 - 2.27149i) q^{33} +(-1.22747 + 2.68778i) q^{34} +(2.83290 + 4.25109i) q^{35} +(0.234974 - 1.63428i) q^{36} +(-3.64600 - 1.87965i) q^{37} +(-0.861597 + 0.821531i) q^{38} +(3.48810 + 1.39643i) q^{39} +(-1.36197 + 3.93516i) q^{40} +(-0.491645 - 0.315961i) q^{41} +(-1.52468 - 0.343166i) q^{42} +(-7.39962 + 2.17272i) q^{43} +(-5.85332 + 8.21983i) q^{44} +(-0.965422 + 1.67216i) q^{45} +(-2.83280 + 0.0186938i) q^{46} +(1.57667 + 2.73088i) q^{47} +(0.842562 + 1.84495i) q^{48} +(2.06844 - 6.68742i) q^{49} +(-0.491975 + 0.567769i) q^{50} +(0.238017 - 4.99660i) q^{51} +(-6.09141 + 1.17402i) q^{52} +(-0.0915819 - 0.0366639i) q^{53} +(-0.139261 - 0.574041i) q^{54} +(9.92742 - 6.37997i) q^{55} +(5.36042 - 1.95558i) q^{56} +(0.837233 - 1.83328i) q^{57} +(0.898032 - 0.0857517i) q^{58} +(-0.156286 - 0.122905i) q^{59} +(-0.151690 - 3.18437i) q^{60} +(3.35732 + 13.8390i) q^{61} +(0.287451 + 1.99927i) q^{62} +(2.61220 - 0.419987i) q^{63} +(-0.673801 - 0.433026i) q^{64} +(7.12354 + 1.37295i) q^{65} +(-0.851121 + 3.50837i) q^{66} +(-8.45769 - 0.807611i) q^{67} +(4.12957 + 7.15263i) q^{68} +(4.44044 - 1.81177i) q^{69} +(-3.01612 - 0.0934844i) q^{70} +(3.76781 + 8.25036i) q^{71} +(1.56085 + 1.48827i) q^{72} +(-3.28479 - 9.49077i) q^{73} +(2.15366 - 1.11029i) q^{74} +(0.415979 - 1.20189i) q^{75} +(0.473569 + 3.29374i) q^{76} +(-15.3665 - 5.03410i) q^{77} +(-1.86705 + 1.19988i) q^{78} +(-7.86933 + 3.15040i) q^{79} +(2.27163 + 3.19006i) q^{80} +(0.580057 + 0.814576i) q^{81} +(0.320484 - 0.128302i) q^{82} +(9.80461 - 6.30104i) q^{83} +(-3.25340 + 2.91512i) q^{84} +(-1.37456 - 9.56028i) q^{85} +(1.48993 - 4.30488i) q^{86} +(-1.35745 + 0.699813i) q^{87} +(-4.31105 - 12.4560i) q^{88} +(-10.1341 - 9.66283i) q^{89} +(-0.473795 - 1.03747i) q^{90} +(-4.70127 - 8.75877i) q^{91} +(-4.55041 + 6.48024i) q^{92} +(-1.70971 - 2.96131i) q^{93} +(-1.85422 - 0.177057i) q^{94} +(0.917444 - 3.78175i) q^{95} +(-5.41180 - 1.04304i) q^{96} +(-7.52856 - 4.83831i) q^{97} +(2.50902 + 3.28660i) q^{98} +(-0.869786 - 6.04950i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.342635 + 0.481163i −0.242279 + 0.340234i −0.917754 0.397149i \(-0.869999\pi\)
0.675475 + 0.737383i \(0.263939\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.540016 + 1.56028i 0.270008 + 0.780138i
\(5\) 0.0918733 1.92866i 0.0410870 0.862522i −0.880428 0.474179i \(-0.842745\pi\)
0.921515 0.388342i \(-0.126952\pi\)
\(6\) 0.386821 + 0.446415i 0.157919 + 0.182248i
\(7\) −2.12937 + 1.57028i −0.804826 + 0.593510i
\(8\) −2.06930 0.607603i −0.731610 0.214820i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 0.896520 + 0.705031i 0.283505 + 0.222950i
\(11\) 3.54514 + 4.97845i 1.06890 + 1.50106i 0.851056 + 0.525075i \(0.175963\pi\)
0.217843 + 0.975984i \(0.430098\pi\)
\(12\) 1.64361 0.156945i 0.474468 0.0453062i
\(13\) −0.534711 + 3.71900i −0.148302 + 1.03146i 0.770696 + 0.637203i \(0.219909\pi\)
−0.918998 + 0.394261i \(0.871000\pi\)
\(14\) −0.0259649 1.56261i −0.00693942 0.417625i
\(15\) −1.85263 0.543982i −0.478347 0.140455i
\(16\) −1.59431 + 1.25378i −0.398577 + 0.313444i
\(17\) 4.91186 0.946684i 1.19130 0.229605i 0.445197 0.895433i \(-0.353134\pi\)
0.746105 + 0.665828i \(0.231922\pi\)
\(18\) 0.525028 0.270671i 0.123750 0.0637977i
\(19\) 1.97899 + 0.381419i 0.454012 + 0.0875036i 0.411130 0.911577i \(-0.365134\pi\)
0.0428815 + 0.999080i \(0.486346\pi\)
\(20\) 3.05885 0.898159i 0.683979 0.200834i
\(21\) 1.02400 + 2.43955i 0.223455 + 0.532354i
\(22\) −3.61013 −0.769683
\(23\) 2.80757 + 3.88813i 0.585420 + 0.810730i
\(24\) −1.07833 + 1.86773i −0.220114 + 0.381248i
\(25\) 1.26608 + 0.120896i 0.253216 + 0.0241792i
\(26\) −1.60623 1.53154i −0.315008 0.300360i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −3.59996 2.47443i −0.680329 0.467623i
\(29\) −1.00012 1.15420i −0.185717 0.214329i 0.655255 0.755408i \(-0.272561\pi\)
−0.840972 + 0.541079i \(0.818016\pi\)
\(30\) 0.896520 0.705031i 0.163681 0.128720i
\(31\) 2.47476 2.35967i 0.444479 0.423810i −0.434499 0.900672i \(-0.643074\pi\)
0.878978 + 0.476862i \(0.158226\pi\)
\(32\) −0.262243 5.50515i −0.0463584 0.973183i
\(33\) 5.67391 2.27149i 0.987701 0.395416i
\(34\) −1.22747 + 2.68778i −0.210509 + 0.460950i
\(35\) 2.83290 + 4.25109i 0.478848 + 0.718566i
\(36\) 0.234974 1.63428i 0.0391623 0.272380i
\(37\) −3.64600 1.87965i −0.599399 0.309012i 0.131693 0.991291i \(-0.457959\pi\)
−0.731092 + 0.682279i \(0.760989\pi\)
\(38\) −0.861597 + 0.821531i −0.139769 + 0.133270i
\(39\) 3.48810 + 1.39643i 0.558543 + 0.223607i
\(40\) −1.36197 + 3.93516i −0.215347 + 0.622203i
\(41\) −0.491645 0.315961i −0.0767821 0.0493449i 0.501687 0.865050i \(-0.332713\pi\)
−0.578469 + 0.815705i \(0.696349\pi\)
\(42\) −1.52468 0.343166i −0.235264 0.0529516i
\(43\) −7.39962 + 2.17272i −1.12843 + 0.331337i −0.792091 0.610403i \(-0.791007\pi\)
−0.336340 + 0.941740i \(0.609189\pi\)
\(44\) −5.85332 + 8.21983i −0.882421 + 1.23919i
\(45\) −0.965422 + 1.67216i −0.143917 + 0.249271i
\(46\) −2.83280 + 0.0186938i −0.417673 + 0.00275626i
\(47\) 1.57667 + 2.73088i 0.229982 + 0.398340i 0.957802 0.287428i \(-0.0928001\pi\)
−0.727821 + 0.685767i \(0.759467\pi\)
\(48\) 0.842562 + 1.84495i 0.121613 + 0.266296i
\(49\) 2.06844 6.68742i 0.295491 0.955346i
\(50\) −0.491975 + 0.567769i −0.0695757 + 0.0802947i
\(51\) 0.238017 4.99660i 0.0333291 0.699663i
\(52\) −6.09141 + 1.17402i −0.844727 + 0.162808i
\(53\) −0.0915819 0.0366639i −0.0125797 0.00503617i 0.365364 0.930865i \(-0.380945\pi\)
−0.377944 + 0.925829i \(0.623369\pi\)
\(54\) −0.139261 0.574041i −0.0189510 0.0781171i
\(55\) 9.92742 6.37997i 1.33861 0.860275i
\(56\) 5.36042 1.95558i 0.716317 0.261325i
\(57\) 0.837233 1.83328i 0.110894 0.242824i
\(58\) 0.898032 0.0857517i 0.117917 0.0112597i
\(59\) −0.156286 0.122905i −0.0203468 0.0160009i 0.607934 0.793988i \(-0.291999\pi\)
−0.628281 + 0.777987i \(0.716241\pi\)
\(60\) −0.151690 3.18437i −0.0195831 0.411101i
\(61\) 3.35732 + 13.8390i 0.429860 + 1.77191i 0.614308 + 0.789066i \(0.289435\pi\)
−0.184448 + 0.982842i \(0.559050\pi\)
\(62\) 0.287451 + 1.99927i 0.0365064 + 0.253907i
\(63\) 2.61220 0.419987i 0.329107 0.0529134i
\(64\) −0.673801 0.433026i −0.0842251 0.0541282i
\(65\) 7.12354 + 1.37295i 0.883567 + 0.170294i
\(66\) −0.851121 + 3.50837i −0.104766 + 0.431851i
\(67\) −8.45769 0.807611i −1.03327 0.0986654i −0.435383 0.900245i \(-0.643387\pi\)
−0.597888 + 0.801580i \(0.703993\pi\)
\(68\) 4.12957 + 7.15263i 0.500784 + 0.867384i
\(69\) 4.44044 1.81177i 0.534566 0.218112i
\(70\) −3.01612 0.0934844i −0.360495 0.0111735i
\(71\) 3.76781 + 8.25036i 0.447157 + 0.979138i 0.990229 + 0.139451i \(0.0445339\pi\)
−0.543072 + 0.839686i \(0.682739\pi\)
\(72\) 1.56085 + 1.48827i 0.183948 + 0.175394i
\(73\) −3.28479 9.49077i −0.384455 1.11081i −0.956787 0.290789i \(-0.906082\pi\)
0.572332 0.820022i \(-0.306039\pi\)
\(74\) 2.15366 1.11029i 0.250358 0.129069i
\(75\) 0.415979 1.20189i 0.0480331 0.138782i
\(76\) 0.473569 + 3.29374i 0.0543221 + 0.377818i
\(77\) −15.3665 5.03410i −1.75117 0.573689i
\(78\) −1.86705 + 1.19988i −0.211402 + 0.135860i
\(79\) −7.86933 + 3.15040i −0.885369 + 0.354448i −0.769372 0.638801i \(-0.779431\pi\)
−0.115997 + 0.993250i \(0.537006\pi\)
\(80\) 2.27163 + 3.19006i 0.253976 + 0.356659i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 0.320484 0.128302i 0.0353915 0.0141686i
\(83\) 9.80461 6.30104i 1.07620 0.691629i 0.122520 0.992466i \(-0.460902\pi\)
0.953675 + 0.300837i \(0.0972661\pi\)
\(84\) −3.25340 + 2.91512i −0.354975 + 0.318066i
\(85\) −1.37456 9.56028i −0.149092 1.03696i
\(86\) 1.48993 4.30488i 0.160664 0.464207i
\(87\) −1.35745 + 0.699813i −0.145534 + 0.0750279i
\(88\) −4.31105 12.4560i −0.459560 1.32781i
\(89\) −10.1341 9.66283i −1.07421 1.02426i −0.999634 0.0270431i \(-0.991391\pi\)
−0.0745770 0.997215i \(-0.523761\pi\)
\(90\) −0.473795 1.03747i −0.0499424 0.109359i
\(91\) −4.70127 8.75877i −0.492827 0.918169i
\(92\) −4.55041 + 6.48024i −0.474413 + 0.675612i
\(93\) −1.70971 2.96131i −0.177289 0.307074i
\(94\) −1.85422 0.177057i −0.191249 0.0182620i
\(95\) 0.917444 3.78175i 0.0941277 0.388000i
\(96\) −5.41180 1.04304i −0.552339 0.106455i
\(97\) −7.52856 4.83831i −0.764409 0.491256i 0.0994168 0.995046i \(-0.468302\pi\)
−0.863826 + 0.503790i \(0.831939\pi\)
\(98\) 2.50902 + 3.28660i 0.253449 + 0.331997i
\(99\) −0.869786 6.04950i −0.0874168 0.607997i
\(100\) 0.495074 + 2.04072i 0.0495074 + 0.204072i
\(101\) 0.0699431 + 1.46829i 0.00695960 + 0.146100i 0.999672 + 0.0255955i \(0.00814819\pi\)
−0.992713 + 0.120505i \(0.961549\pi\)
\(102\) 2.32263 + 1.82653i 0.229974 + 0.180854i
\(103\) 3.77706 0.360665i 0.372165 0.0355374i 0.0927018 0.995694i \(-0.470450\pi\)
0.279463 + 0.960157i \(0.409844\pi\)
\(104\) 3.36615 7.37085i 0.330078 0.722771i
\(105\) 4.79914 1.75081i 0.468348 0.170862i
\(106\) 0.0490205 0.0315035i 0.00476129 0.00305990i
\(107\) −3.65782 15.0777i −0.353615 1.45762i −0.819655 0.572857i \(-0.805835\pi\)
0.466040 0.884764i \(-0.345680\pi\)
\(108\) −1.53281 0.613646i −0.147495 0.0590481i
\(109\) 13.0677 2.51860i 1.25166 0.241238i 0.479998 0.877270i \(-0.340637\pi\)
0.771663 + 0.636032i \(0.219425\pi\)
\(110\) −0.331675 + 6.96271i −0.0316240 + 0.663868i
\(111\) −2.68624 + 3.10009i −0.254967 + 0.294247i
\(112\) 1.42609 5.17326i 0.134753 0.488827i
\(113\) −5.26436 11.5273i −0.495230 1.08440i −0.977991 0.208649i \(-0.933093\pi\)
0.482761 0.875752i \(-0.339634\pi\)
\(114\) 0.595244 + 1.03099i 0.0557497 + 0.0965613i
\(115\) 7.75680 5.05763i 0.723326 0.471627i
\(116\) 1.26078 2.18374i 0.117061 0.202755i
\(117\) 2.17941 3.06056i 0.201487 0.282949i
\(118\) 0.112687 0.0330878i 0.0103736 0.00304597i
\(119\) −8.97262 + 9.72885i −0.822519 + 0.891842i
\(120\) 3.50313 + 2.25133i 0.319791 + 0.205517i
\(121\) −8.61920 + 24.9036i −0.783564 + 2.26396i
\(122\) −7.80918 3.12632i −0.707010 0.283044i
\(123\) −0.422965 + 0.403296i −0.0381374 + 0.0363640i
\(124\) 5.01815 + 2.58704i 0.450643 + 0.232323i
\(125\) 1.72343 11.9867i 0.154148 1.07212i
\(126\) −0.692950 + 1.40080i −0.0617329 + 0.124793i
\(127\) −2.49484 + 5.46293i −0.221381 + 0.484756i −0.987436 0.158018i \(-0.949490\pi\)
0.766055 + 0.642775i \(0.222217\pi\)
\(128\) 10.6724 4.27260i 0.943318 0.377648i
\(129\) 0.366952 + 7.70328i 0.0323083 + 0.678236i
\(130\) −3.10139 + 2.95717i −0.272010 + 0.259361i
\(131\) 7.11596 5.59605i 0.621724 0.488929i −0.256903 0.966437i \(-0.582702\pi\)
0.878628 + 0.477508i \(0.158460\pi\)
\(132\) 6.60816 + 7.62622i 0.575166 + 0.663777i
\(133\) −4.81294 + 2.29539i −0.417335 + 0.199036i
\(134\) 3.28649 3.79281i 0.283910 0.327649i
\(135\) 1.39742 + 1.33243i 0.120271 + 0.114678i
\(136\) −10.7394 1.02548i −0.920892 0.0879345i
\(137\) 9.57313 16.5811i 0.817887 1.41662i −0.0893486 0.996000i \(-0.528479\pi\)
0.907236 0.420622i \(-0.138188\pi\)
\(138\) −0.649690 + 2.75735i −0.0553053 + 0.234721i
\(139\) 18.5846 1.57632 0.788161 0.615469i \(-0.211033\pi\)
0.788161 + 0.615469i \(0.211033\pi\)
\(140\) −5.10306 + 6.71576i −0.431287 + 0.567586i
\(141\) 3.02562 0.888401i 0.254803 0.0748169i
\(142\) −5.26076 1.01393i −0.441473 0.0850869i
\(143\) −20.4105 + 10.5223i −1.70681 + 0.879921i
\(144\) 1.99159 0.383847i 0.165966 0.0319873i
\(145\) −2.31793 + 1.82284i −0.192494 + 0.151379i
\(146\) 5.69209 + 1.67135i 0.471081 + 0.138322i
\(147\) −6.01126 3.58675i −0.495800 0.295830i
\(148\) 0.963862 6.70381i 0.0792290 0.551050i
\(149\) 5.87534 0.561027i 0.481326 0.0459611i 0.148427 0.988923i \(-0.452579\pi\)
0.332900 + 0.942962i \(0.391973\pi\)
\(150\) 0.435777 + 0.611963i 0.0355811 + 0.0499666i
\(151\) 7.52182 + 5.91523i 0.612117 + 0.481374i 0.875436 0.483335i \(-0.160575\pi\)
−0.263318 + 0.964709i \(0.584817\pi\)
\(152\) −3.86339 1.99171i −0.313362 0.161549i
\(153\) −4.79963 1.40930i −0.388027 0.113935i
\(154\) 7.68731 5.66892i 0.619461 0.456815i
\(155\) −4.32364 4.98975i −0.347283 0.400786i
\(156\) −0.295175 + 6.19649i −0.0236329 + 0.496116i
\(157\) 3.85779 + 11.1464i 0.307885 + 0.889577i 0.987723 + 0.156214i \(0.0499290\pi\)
−0.679838 + 0.733363i \(0.737950\pi\)
\(158\) 1.18045 4.86587i 0.0939114 0.387108i
\(159\) −0.0572216 + 0.0803566i −0.00453797 + 0.00637269i
\(160\) −10.6416 −0.841296
\(161\) −12.0838 3.87058i −0.952338 0.305045i
\(162\) −0.590692 −0.0464091
\(163\) 6.07661 8.53341i 0.475957 0.668388i −0.504886 0.863186i \(-0.668466\pi\)
0.980843 + 0.194798i \(0.0624050\pi\)
\(164\) 0.227490 0.937726i 0.0177640 0.0732241i
\(165\) −3.85965 11.1517i −0.300473 0.868160i
\(166\) −0.327571 + 6.87657i −0.0254245 + 0.533725i
\(167\) 3.29267 + 3.79995i 0.254795 + 0.294049i 0.868708 0.495325i \(-0.164951\pi\)
−0.613913 + 0.789374i \(0.710406\pi\)
\(168\) −0.636686 5.67037i −0.0491214 0.437478i
\(169\) −1.07162 0.314655i −0.0824320 0.0242042i
\(170\) 5.07103 + 2.61430i 0.388930 + 0.200507i
\(171\) −1.58422 1.24585i −0.121148 0.0952722i
\(172\) −7.38596 10.3721i −0.563174 0.790868i
\(173\) −8.14724 + 0.777967i −0.619423 + 0.0591477i −0.400050 0.916493i \(-0.631007\pi\)
−0.219373 + 0.975641i \(0.570401\pi\)
\(174\) 0.128385 0.892935i 0.00973281 0.0676932i
\(175\) −2.88580 + 1.73067i −0.218146 + 0.130826i
\(176\) −11.8939 3.49236i −0.896536 0.263247i
\(177\) −0.156286 + 0.122905i −0.0117472 + 0.00923810i
\(178\) 8.12169 1.56533i 0.608747 0.117326i
\(179\) 13.5434 6.98210i 1.01228 0.521867i 0.129464 0.991584i \(-0.458674\pi\)
0.882817 + 0.469717i \(0.155644\pi\)
\(180\) −3.13037 0.603330i −0.233324 0.0449696i
\(181\) −19.8657 + 5.83308i −1.47660 + 0.433570i −0.918239 0.396026i \(-0.870389\pi\)
−0.558364 + 0.829596i \(0.688571\pi\)
\(182\) 5.82522 + 0.738980i 0.431794 + 0.0547769i
\(183\) 14.2405 1.05269
\(184\) −3.44729 9.75161i −0.254138 0.718898i
\(185\) −3.96016 + 6.85920i −0.291157 + 0.504299i
\(186\) 2.01068 + 0.191997i 0.147430 + 0.0140779i
\(187\) 22.1262 + 21.0973i 1.61803 + 1.54279i
\(188\) −3.40949 + 3.93477i −0.248663 + 0.286972i
\(189\) 0.207702 2.63759i 0.0151081 0.191856i
\(190\) 1.50529 + 1.73720i 0.109205 + 0.126030i
\(191\) 1.74213 1.37002i 0.126056 0.0991315i −0.553141 0.833088i \(-0.686571\pi\)
0.679197 + 0.733956i \(0.262328\pi\)
\(192\) −0.579674 + 0.552718i −0.0418344 + 0.0398890i
\(193\) 0.431376 + 9.05570i 0.0310511 + 0.651844i 0.959724 + 0.280944i \(0.0906476\pi\)
−0.928673 + 0.370900i \(0.879049\pi\)
\(194\) 4.90757 1.96469i 0.352343 0.141057i
\(195\) 3.01369 6.59906i 0.215815 0.472568i
\(196\) 11.5512 0.383985i 0.825086 0.0274275i
\(197\) −1.56007 + 10.8505i −0.111150 + 0.773065i 0.855654 + 0.517548i \(0.173155\pi\)
−0.966804 + 0.255518i \(0.917754\pi\)
\(198\) 3.20882 + 1.65426i 0.228041 + 0.117563i
\(199\) 13.9531 13.3043i 0.989110 0.943115i −0.00927305 0.999957i \(-0.502952\pi\)
0.998383 + 0.0568424i \(0.0181033\pi\)
\(200\) −2.54645 1.01945i −0.180061 0.0720857i
\(201\) −2.77882 + 8.02888i −0.196003 + 0.566313i
\(202\) −0.730451 0.469432i −0.0513943 0.0330291i
\(203\) 3.94203 + 0.887248i 0.276676 + 0.0622726i
\(204\) 7.92460 2.32687i 0.554833 0.162914i
\(205\) −0.654550 + 0.919187i −0.0457158 + 0.0641988i
\(206\) −1.12061 + 1.94096i −0.0780768 + 0.135233i
\(207\) −0.713828 4.74241i −0.0496145 0.329620i
\(208\) −3.81030 6.59963i −0.264197 0.457602i
\(209\) 5.11692 + 11.2045i 0.353945 + 0.775031i
\(210\) −0.801926 + 2.90906i −0.0553382 + 0.200744i
\(211\) −5.08941 + 5.87349i −0.350370 + 0.404348i −0.903390 0.428820i \(-0.858930\pi\)
0.553021 + 0.833168i \(0.313475\pi\)
\(212\) 0.00774998 0.162692i 0.000532271 0.0111737i
\(213\) 8.90609 1.71651i 0.610235 0.117613i
\(214\) 8.50816 + 3.40615i 0.581606 + 0.232840i
\(215\) 3.51061 + 14.4709i 0.239422 + 0.986910i
\(216\) 1.81430 1.16598i 0.123448 0.0793350i
\(217\) −1.56432 + 8.91068i −0.106193 + 0.604897i
\(218\) −3.26560 + 7.15067i −0.221174 + 0.484304i
\(219\) −9.99766 + 0.954661i −0.675579 + 0.0645100i
\(220\) 15.3155 + 12.0442i 1.03257 + 0.812021i
\(221\) 0.894288 + 18.7734i 0.0601563 + 1.26284i
\(222\) −0.571248 2.35472i −0.0383397 0.158038i
\(223\) −2.86878 19.9528i −0.192107 1.33614i −0.826417 0.563058i \(-0.809625\pi\)
0.634310 0.773079i \(-0.281284\pi\)
\(224\) 9.20305 + 11.3107i 0.614904 + 0.755729i
\(225\) −1.06994 0.687609i −0.0713294 0.0458406i
\(226\) 7.35029 + 1.41665i 0.488934 + 0.0942343i
\(227\) −0.138554 + 0.571127i −0.00919615 + 0.0379071i −0.976225 0.216761i \(-0.930451\pi\)
0.967029 + 0.254668i \(0.0819661\pi\)
\(228\) 3.31255 + 0.316310i 0.219379 + 0.0209481i
\(229\) −5.97850 10.3551i −0.395071 0.684282i 0.598040 0.801467i \(-0.295947\pi\)
−0.993110 + 0.117184i \(0.962613\pi\)
\(230\) −0.224204 + 5.46521i −0.0147836 + 0.360365i
\(231\) −8.51498 + 13.7465i −0.560245 + 0.904452i
\(232\) 1.36825 + 2.99606i 0.0898303 + 0.196701i
\(233\) −7.88103 7.51454i −0.516303 0.492294i 0.386535 0.922275i \(-0.373672\pi\)
−0.902838 + 0.429981i \(0.858520\pi\)
\(234\) 0.725885 + 2.09731i 0.0474526 + 0.137105i
\(235\) 5.41179 2.78997i 0.353026 0.181998i
\(236\) 0.107368 0.310220i 0.00698908 0.0201936i
\(237\) 1.20633 + 8.39024i 0.0783599 + 0.545005i
\(238\) −1.60683 7.65074i −0.104155 0.495924i
\(239\) 12.7299 8.18102i 0.823430 0.529187i −0.0597537 0.998213i \(-0.519032\pi\)
0.883184 + 0.469027i \(0.155395\pi\)
\(240\) 3.63569 1.45551i 0.234683 0.0939529i
\(241\) 1.31955 + 1.85305i 0.0849998 + 0.119366i 0.854886 0.518815i \(-0.173627\pi\)
−0.769887 + 0.638181i \(0.779687\pi\)
\(242\) −9.02944 12.6801i −0.580434 0.815106i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −19.7797 + 12.7117i −1.26627 + 0.813780i
\(245\) −12.7077 4.60370i −0.811865 0.294120i
\(246\) −0.0491288 0.341698i −0.00313234 0.0217859i
\(247\) −2.47669 + 7.15592i −0.157588 + 0.455320i
\(248\) −6.55477 + 3.37922i −0.416228 + 0.214581i
\(249\) −3.81190 11.0138i −0.241569 0.697968i
\(250\) 5.17705 + 4.93631i 0.327425 + 0.312199i
\(251\) −0.450464 0.986378i −0.0284330 0.0622596i 0.894883 0.446301i \(-0.147259\pi\)
−0.923316 + 0.384042i \(0.874532\pi\)
\(252\) 2.06593 + 3.84896i 0.130141 + 0.242462i
\(253\) −9.40360 + 27.7613i −0.591200 + 1.74534i
\(254\) −1.77374 3.07221i −0.111295 0.192768i
\(255\) −9.61485 0.918107i −0.602105 0.0574941i
\(256\) −1.22327 + 5.04238i −0.0764543 + 0.315149i
\(257\) −15.2905 2.94700i −0.953796 0.183829i −0.311466 0.950257i \(-0.600820\pi\)
−0.642330 + 0.766428i \(0.722032\pi\)
\(258\) −3.83226 2.46285i −0.238586 0.153330i
\(259\) 10.7153 1.72279i 0.665814 0.107049i
\(260\) 1.70465 + 11.8561i 0.105718 + 0.735284i
\(261\) 0.360056 + 1.48417i 0.0222869 + 0.0918679i
\(262\) 0.254439 + 5.34134i 0.0157193 + 0.329989i
\(263\) 12.9742 + 10.2030i 0.800026 + 0.629147i 0.932144 0.362087i \(-0.117936\pi\)
−0.132119 + 0.991234i \(0.542178\pi\)
\(264\) −13.1212 + 1.25292i −0.807555 + 0.0771122i
\(265\) −0.0791260 + 0.173262i −0.00486067 + 0.0106434i
\(266\) 0.544625 3.10229i 0.0333931 0.190214i
\(267\) −11.7797 + 7.57032i −0.720903 + 0.463296i
\(268\) −3.30719 13.6324i −0.202019 0.832734i
\(269\) 8.08669 + 3.23742i 0.493054 + 0.197389i 0.604846 0.796343i \(-0.293235\pi\)
−0.111792 + 0.993732i \(0.535659\pi\)
\(270\) −1.11992 + 0.215847i −0.0681563 + 0.0131361i
\(271\) −0.997339 + 20.9367i −0.0605841 + 1.27182i 0.740005 + 0.672602i \(0.234823\pi\)
−0.800589 + 0.599214i \(0.795480\pi\)
\(272\) −6.64408 + 7.66768i −0.402857 + 0.464922i
\(273\) −9.62024 + 2.50379i −0.582243 + 0.151536i
\(274\) 4.69815 + 10.2875i 0.283826 + 0.621491i
\(275\) 3.88656 + 6.73172i 0.234368 + 0.405938i
\(276\) 5.22477 + 5.94992i 0.314494 + 0.358143i
\(277\) 0.463356 0.802556i 0.0278404 0.0482209i −0.851770 0.523917i \(-0.824470\pi\)
0.879610 + 0.475696i \(0.157804\pi\)
\(278\) −6.36772 + 8.94221i −0.381910 + 0.536318i
\(279\) −3.28092 + 0.963364i −0.196423 + 0.0576751i
\(280\) −3.27916 10.5181i −0.195967 0.628576i
\(281\) 5.45885 + 3.50819i 0.325648 + 0.209281i 0.693242 0.720705i \(-0.256182\pi\)
−0.367594 + 0.929987i \(0.619818\pi\)
\(282\) −0.609216 + 1.76021i −0.0362783 + 0.104819i
\(283\) −14.7476 5.90406i −0.876656 0.350960i −0.110700 0.993854i \(-0.535309\pi\)
−0.765955 + 0.642894i \(0.777734\pi\)
\(284\) −10.8382 + 10.3342i −0.643126 + 0.613219i
\(285\) −3.45886 1.78316i −0.204885 0.105626i
\(286\) 1.93038 13.4261i 0.114146 0.793901i
\(287\) 1.54304 0.0992226i 0.0910829 0.00585692i
\(288\) −2.28952 + 5.01334i −0.134911 + 0.295414i
\(289\) 7.44794 2.98171i 0.438114 0.175394i
\(290\) −0.0828804 1.73987i −0.00486691 0.102169i
\(291\) −6.47685 + 6.17567i −0.379680 + 0.362024i
\(292\) 13.0344 10.2503i 0.762779 0.599856i
\(293\) −7.03361 8.11722i −0.410908 0.474213i 0.512138 0.858903i \(-0.328854\pi\)
−0.923046 + 0.384690i \(0.874308\pi\)
\(294\) 3.78548 1.66345i 0.220774 0.0970145i
\(295\) −0.251400 + 0.290131i −0.0146371 + 0.0168921i
\(296\) 6.40262 + 6.10488i 0.372144 + 0.354839i
\(297\) −6.08403 0.580955i −0.353031 0.0337104i
\(298\) −1.74315 + 3.01922i −0.100978 + 0.174899i
\(299\) −15.9612 + 8.36233i −0.923058 + 0.483606i
\(300\) 2.09992 0.121239
\(301\) 12.3447 16.2460i 0.711539 0.936405i
\(302\) −5.42343 + 1.59246i −0.312083 + 0.0916359i
\(303\) 1.44339 + 0.278190i 0.0829205 + 0.0159816i
\(304\) −3.63333 + 1.87311i −0.208386 + 0.107430i
\(305\) 26.9992 5.20367i 1.54597 0.297961i
\(306\) 2.32263 1.82653i 0.132776 0.104416i
\(307\) 27.9978 + 8.22089i 1.59792 + 0.469191i 0.954966 0.296715i \(-0.0958913\pi\)
0.642952 + 0.765906i \(0.277709\pi\)
\(308\) −0.443565 26.6944i −0.0252745 1.52106i
\(309\) 0.539976 3.75562i 0.0307182 0.213650i
\(310\) 3.88231 0.370716i 0.220501 0.0210552i
\(311\) −15.8112 22.2037i −0.896570 1.25906i −0.965226 0.261416i \(-0.915811\pi\)
0.0686562 0.997640i \(-0.478129\pi\)
\(312\) −6.36947 5.00901i −0.360600 0.283579i
\(313\) 30.4429 + 15.6944i 1.72074 + 0.887102i 0.975409 + 0.220404i \(0.0707377\pi\)
0.745329 + 0.666697i \(0.232293\pi\)
\(314\) −6.68504 1.96290i −0.377258 0.110773i
\(315\) −0.570019 5.07663i −0.0321170 0.286036i
\(316\) −9.16507 10.5770i −0.515575 0.595006i
\(317\) −0.538821 + 11.3112i −0.0302632 + 0.635302i 0.931881 + 0.362763i \(0.118167\pi\)
−0.962145 + 0.272539i \(0.912137\pi\)
\(318\) −0.0190585 0.0550659i −0.00106875 0.00308794i
\(319\) 2.20056 9.07082i 0.123208 0.507868i
\(320\) −0.897062 + 1.25975i −0.0501473 + 0.0704220i
\(321\) −15.5151 −0.865968
\(322\) 6.00272 4.48809i 0.334518 0.250112i
\(323\) 10.0816 0.560956
\(324\) −0.957722 + 1.34493i −0.0532068 + 0.0747185i
\(325\) −1.12660 + 4.64391i −0.0624926 + 0.257598i
\(326\) 2.02390 + 5.84769i 0.112094 + 0.323873i
\(327\) 0.633231 13.2931i 0.0350177 0.735113i
\(328\) 0.825385 + 0.952545i 0.0455743 + 0.0525955i
\(329\) −7.64557 3.33923i −0.421514 0.184098i
\(330\) 6.68825 + 1.96385i 0.368176 + 0.108106i
\(331\) 17.5099 + 9.02701i 0.962434 + 0.496169i 0.866477 0.499216i \(-0.166379\pi\)
0.0959565 + 0.995386i \(0.469409\pi\)
\(332\) 15.1260 + 11.8952i 0.830147 + 0.652835i
\(333\) 2.37939 + 3.34139i 0.130390 + 0.183107i
\(334\) −2.95658 + 0.282319i −0.161777 + 0.0154478i
\(335\) −2.33464 + 16.2378i −0.127555 + 0.887165i
\(336\) −4.69122 2.60553i −0.255927 0.142143i
\(337\) −31.3905 9.21707i −1.70995 0.502086i −0.727104 0.686527i \(-0.759134\pi\)
−0.982844 + 0.184441i \(0.940953\pi\)
\(338\) 0.518573 0.407811i 0.0282067 0.0221820i
\(339\) −12.4435 + 2.39829i −0.675840 + 0.130257i
\(340\) 14.1744 7.30740i 0.768713 0.396299i
\(341\) 20.5209 + 3.95507i 1.11127 + 0.214179i
\(342\) 1.14226 0.335399i 0.0617666 0.0181363i
\(343\) 6.09666 + 17.4880i 0.329188 + 0.944264i
\(344\) 16.6322 0.896749
\(345\) −3.08633 8.73053i −0.166162 0.470036i
\(346\) 2.41720 4.18671i 0.129949 0.225079i
\(347\) −4.36485 0.416792i −0.234317 0.0223746i −0.0227632 0.999741i \(-0.507246\pi\)
−0.211554 + 0.977366i \(0.567852\pi\)
\(348\) −1.82495 1.74008i −0.0978274 0.0932782i
\(349\) −4.03506 + 4.65671i −0.215992 + 0.249268i −0.853398 0.521260i \(-0.825462\pi\)
0.637406 + 0.770528i \(0.280008\pi\)
\(350\) 0.156040 1.98153i 0.00834067 0.105917i
\(351\) −2.46047 2.83953i −0.131330 0.151563i
\(352\) 26.4774 20.8221i 1.41125 1.10982i
\(353\) 8.88664 8.47339i 0.472988 0.450993i −0.415703 0.909501i \(-0.636464\pi\)
0.888691 + 0.458508i \(0.151616\pi\)
\(354\) −0.00558820 0.117311i −0.000297010 0.00623500i
\(355\) 16.2583 6.50883i 0.862900 0.345453i
\(356\) 9.60410 21.0301i 0.509016 1.11459i
\(357\) 7.33923 + 11.0134i 0.388433 + 0.582889i
\(358\) −1.28091 + 8.90889i −0.0676980 + 0.470850i
\(359\) −8.47039 4.36679i −0.447050 0.230470i 0.219975 0.975506i \(-0.429402\pi\)
−0.667025 + 0.745035i \(0.732433\pi\)
\(360\) 3.01376 2.87362i 0.158839 0.151453i
\(361\) −13.8681 5.55193i −0.729898 0.292207i
\(362\) 4.00000 11.5572i 0.210235 0.607435i
\(363\) 22.1695 + 14.2475i 1.16360 + 0.747799i
\(364\) 11.1273 12.0652i 0.583230 0.632386i
\(365\) −18.6062 + 5.46328i −0.973895 + 0.285961i
\(366\) −4.87928 + 6.85199i −0.255044 + 0.358159i
\(367\) 14.1407 24.4924i 0.738137 1.27849i −0.215196 0.976571i \(-0.569039\pi\)
0.953333 0.301920i \(-0.0976275\pi\)
\(368\) −9.35097 2.67880i −0.487453 0.139642i
\(369\) 0.292210 + 0.506122i 0.0152118 + 0.0263477i
\(370\) −1.94351 4.25569i −0.101038 0.221243i
\(371\) 0.252584 0.0657384i 0.0131135 0.00341297i
\(372\) 3.69719 4.26678i 0.191690 0.221222i
\(373\) 1.78100 37.3879i 0.0922169 1.93587i −0.200544 0.979685i \(-0.564271\pi\)
0.292761 0.956186i \(-0.405426\pi\)
\(374\) −17.7325 + 3.41766i −0.916925 + 0.176723i
\(375\) −11.2425 4.50081i −0.580560 0.232421i
\(376\) −1.60333 6.60902i −0.0826854 0.340834i
\(377\) 4.82723 3.10227i 0.248615 0.159775i
\(378\) 1.19794 + 1.00367i 0.0616156 + 0.0516231i
\(379\) 5.05982 11.0795i 0.259905 0.569113i −0.734025 0.679122i \(-0.762361\pi\)
0.993931 + 0.110009i \(0.0350879\pi\)
\(380\) 6.39601 0.610745i 0.328108 0.0313306i
\(381\) 4.72076 + 3.71244i 0.241852 + 0.190194i
\(382\) 0.0622918 + 1.30767i 0.00318713 + 0.0669060i
\(383\) 1.43962 + 5.93421i 0.0735613 + 0.303224i 0.996693 0.0812602i \(-0.0258945\pi\)
−0.923132 + 0.384484i \(0.874379\pi\)
\(384\) −1.63604 11.3789i −0.0834887 0.580677i
\(385\) −11.1208 + 29.1742i −0.566770 + 1.48685i
\(386\) −4.50508 2.89524i −0.229302 0.147364i
\(387\) 7.57264 + 1.45951i 0.384939 + 0.0741909i
\(388\) 3.48355 14.3594i 0.176851 0.728988i
\(389\) 11.5489 + 1.10278i 0.585551 + 0.0559133i 0.383627 0.923488i \(-0.374675\pi\)
0.201924 + 0.979401i \(0.435281\pi\)
\(390\) 2.14263 + 3.71114i 0.108496 + 0.187921i
\(391\) 17.4712 + 16.4401i 0.883559 + 0.831410i
\(392\) −8.34352 + 12.5815i −0.421411 + 0.635463i
\(393\) −3.76066 8.23469i −0.189700 0.415385i
\(394\) −4.68633 4.46840i −0.236094 0.225115i
\(395\) 5.35307 + 15.4667i 0.269342 + 0.778213i
\(396\) 8.96918 4.62393i 0.450718 0.232361i
\(397\) −1.71818 + 4.96437i −0.0862332 + 0.249154i −0.979870 0.199636i \(-0.936024\pi\)
0.893637 + 0.448791i \(0.148145\pi\)
\(398\) 1.62070 + 11.2722i 0.0812385 + 0.565026i
\(399\) 1.09599 + 5.21843i 0.0548682 + 0.261248i
\(400\) −2.17010 + 1.39464i −0.108505 + 0.0697319i
\(401\) −27.1606 + 10.8735i −1.35634 + 0.542996i −0.931984 0.362501i \(-0.881923\pi\)
−0.424354 + 0.905496i \(0.639499\pi\)
\(402\) −2.91108 4.08804i −0.145191 0.203893i
\(403\) 7.45235 + 10.4654i 0.371228 + 0.521316i
\(404\) −2.25316 + 0.902030i −0.112099 + 0.0448777i
\(405\) 1.62433 1.04389i 0.0807136 0.0518715i
\(406\) −1.77759 + 1.59276i −0.0882203 + 0.0790473i
\(407\) −3.56787 24.8150i −0.176853 1.23004i
\(408\) −3.52847 + 10.1949i −0.174686 + 0.504721i
\(409\) 11.1691 5.75805i 0.552274 0.284717i −0.159415 0.987212i \(-0.550961\pi\)
0.711689 + 0.702495i \(0.247930\pi\)
\(410\) −0.218007 0.629891i −0.0107666 0.0311081i
\(411\) −13.8568 13.2124i −0.683505 0.651721i
\(412\) 2.60241 + 5.69848i 0.128212 + 0.280744i
\(413\) 0.525787 + 0.0162967i 0.0258723 + 0.000801910i
\(414\) 2.52646 + 1.28145i 0.124169 + 0.0629797i
\(415\) −11.2518 19.4886i −0.552327 0.956659i
\(416\) 20.6139 + 1.96839i 1.01068 + 0.0965081i
\(417\) 4.38148 18.0607i 0.214562 0.884436i
\(418\) −7.14443 1.37698i −0.349445 0.0673501i
\(419\) −26.7379 17.1834i −1.30623 0.839463i −0.312354 0.949966i \(-0.601118\pi\)
−0.993876 + 0.110502i \(0.964754\pi\)
\(420\) 5.32336 + 6.54251i 0.259754 + 0.319242i
\(421\) −4.53313 31.5286i −0.220931 1.53661i −0.734528 0.678578i \(-0.762597\pi\)
0.513597 0.858031i \(-0.328312\pi\)
\(422\) −1.08230 4.46130i −0.0526855 0.217173i
\(423\) −0.150042 3.14978i −0.00729531 0.153147i
\(424\) 0.167234 + 0.131514i 0.00812160 + 0.00638689i
\(425\) 6.33327 0.604754i 0.307209 0.0293349i
\(426\) −2.22562 + 4.87342i −0.107831 + 0.236118i
\(427\) −28.8802 24.1965i −1.39761 1.17095i
\(428\) 21.5501 13.8494i 1.04167 0.669438i
\(429\) 5.41377 + 22.3159i 0.261379 + 1.07742i
\(430\) −8.16575 3.26907i −0.393787 0.157649i
\(431\) −36.8947 + 7.11088i −1.77716 + 0.342519i −0.969116 0.246606i \(-0.920685\pi\)
−0.808042 + 0.589125i \(0.799472\pi\)
\(432\) 0.0965077 2.02595i 0.00464323 0.0974733i
\(433\) −17.1024 + 19.7372i −0.821890 + 0.948512i −0.999366 0.0356136i \(-0.988661\pi\)
0.177476 + 0.984125i \(0.443207\pi\)
\(434\) −3.75150 3.80580i −0.180078 0.182684i
\(435\) 1.22499 + 2.68235i 0.0587336 + 0.128609i
\(436\) 10.9865 + 19.0292i 0.526158 + 0.911332i
\(437\) 4.07316 + 8.76543i 0.194846 + 0.419308i
\(438\) 2.96620 5.13761i 0.141730 0.245484i
\(439\) −1.49586 + 2.10064i −0.0713934 + 0.100258i −0.848729 0.528829i \(-0.822631\pi\)
0.777335 + 0.629086i \(0.216571\pi\)
\(440\) −24.4193 + 7.17017i −1.16415 + 0.341824i
\(441\) −4.90285 + 4.99620i −0.233469 + 0.237914i
\(442\) −9.33949 6.00213i −0.444234 0.285492i
\(443\) −11.3299 + 32.7357i −0.538301 + 1.55532i 0.267759 + 0.963486i \(0.413717\pi\)
−0.806060 + 0.591833i \(0.798404\pi\)
\(444\) −6.28760 2.51718i −0.298396 0.119460i
\(445\) −19.5673 + 18.6574i −0.927581 + 0.884447i
\(446\) 10.5835 + 5.45617i 0.501143 + 0.258357i
\(447\) 0.839951 5.84199i 0.0397283 0.276317i
\(448\) 2.11474 0.135985i 0.0999122 0.00642467i
\(449\) 10.5647 23.1335i 0.498580 1.09174i −0.478348 0.878170i \(-0.658764\pi\)
0.976928 0.213568i \(-0.0685083\pi\)
\(450\) 0.697451 0.279217i 0.0328782 0.0131624i
\(451\) −0.169953 3.56776i −0.00800278 0.167999i
\(452\) 15.1430 14.4388i 0.712266 0.679144i
\(453\) 7.52182 5.91523i 0.353406 0.277922i
\(454\) −0.227332 0.262355i −0.0106692 0.0123129i
\(455\) −17.3246 + 8.26244i −0.812189 + 0.387349i
\(456\) −2.84640 + 3.28492i −0.133295 + 0.153830i
\(457\) −12.3793 11.8037i −0.579082 0.552153i 0.342907 0.939369i \(-0.388588\pi\)
−0.921989 + 0.387216i \(0.873437\pi\)
\(458\) 7.03092 + 0.671372i 0.328534 + 0.0313711i
\(459\) −2.50113 + 4.33209i −0.116743 + 0.202204i
\(460\) 12.0801 + 9.37154i 0.563238 + 0.436950i
\(461\) 24.8601 1.15785 0.578924 0.815381i \(-0.303473\pi\)
0.578924 + 0.815381i \(0.303473\pi\)
\(462\) −3.69677 8.80712i −0.171989 0.409744i
\(463\) −20.0069 + 5.87455i −0.929799 + 0.273013i −0.711352 0.702836i \(-0.751917\pi\)
−0.218446 + 0.975849i \(0.570099\pi\)
\(464\) 3.04160 + 0.586220i 0.141203 + 0.0272146i
\(465\) −5.86843 + 3.02539i −0.272142 + 0.140299i
\(466\) 6.31604 1.21732i 0.292585 0.0563911i
\(467\) −1.87824 + 1.47707i −0.0869147 + 0.0683505i −0.660671 0.750676i \(-0.729728\pi\)
0.573756 + 0.819026i \(0.305486\pi\)
\(468\) 5.95223 + 1.74773i 0.275142 + 0.0807890i
\(469\) 19.2777 11.5612i 0.890163 0.533848i
\(470\) −0.511835 + 3.55989i −0.0236092 + 0.164206i
\(471\) 11.7417 1.12119i 0.541028 0.0516619i
\(472\) 0.248727 + 0.349288i 0.0114486 + 0.0160773i
\(473\) −37.0495 29.1360i −1.70354 1.33968i
\(474\) −4.45041 2.29435i −0.204414 0.105383i
\(475\) 2.45945 + 0.722161i 0.112848 + 0.0331350i
\(476\) −20.0250 8.74601i −0.917846 0.400873i
\(477\) 0.0646009 + 0.0745534i 0.00295787 + 0.00341357i
\(478\) −0.425306 + 8.92828i −0.0194531 + 0.408370i
\(479\) −0.390334 1.12780i −0.0178348 0.0515303i 0.935732 0.352712i \(-0.114740\pi\)
−0.953567 + 0.301181i \(0.902619\pi\)
\(480\) −2.50886 + 10.3417i −0.114513 + 0.472031i
\(481\) 8.93996 12.5544i 0.407627 0.572432i
\(482\) −1.34374 −0.0612059
\(483\) −6.61034 + 10.8307i −0.300781 + 0.492812i
\(484\) −43.5109 −1.97777
\(485\) −10.0231 + 14.0755i −0.455126 + 0.639136i
\(486\) −0.139261 + 0.574041i −0.00631700 + 0.0260390i
\(487\) 1.49063 + 4.30689i 0.0675469 + 0.195164i 0.973723 0.227738i \(-0.0731328\pi\)
−0.906176 + 0.422902i \(0.861012\pi\)
\(488\) 1.46133 30.6771i 0.0661514 1.38869i
\(489\) −6.86025 7.91715i −0.310231 0.358026i
\(490\) 6.56923 4.53709i 0.296768 0.204965i
\(491\) 21.8095 + 6.40386i 0.984250 + 0.289002i 0.733978 0.679173i \(-0.237662\pi\)
0.250273 + 0.968175i \(0.419480\pi\)
\(492\) −0.857660 0.442155i −0.0386663 0.0199339i
\(493\) −6.00510 4.72246i −0.270456 0.212689i
\(494\) −2.59457 3.64356i −0.116735 0.163931i
\(495\) −11.7473 + 1.12173i −0.528003 + 0.0504181i
\(496\) −0.987014 + 6.86483i −0.0443182 + 0.308240i
\(497\) −20.9785 11.6516i −0.941012 0.522643i
\(498\) 6.60550 + 1.93955i 0.296000 + 0.0869134i
\(499\) −32.2281 + 25.3444i −1.44273 + 1.13457i −0.475789 + 0.879559i \(0.657838\pi\)
−0.966937 + 0.255014i \(0.917920\pi\)
\(500\) 19.6332 3.78399i 0.878024 0.169225i
\(501\) 4.46911 2.30399i 0.199665 0.102934i
\(502\) 0.628953 + 0.121221i 0.0280716 + 0.00541035i
\(503\) 11.1260 3.26689i 0.496084 0.145664i −0.0241136 0.999709i \(-0.507676\pi\)
0.520198 + 0.854046i \(0.325858\pi\)
\(504\) −5.66063 0.718101i −0.252145 0.0319868i
\(505\) 2.83825 0.126300
\(506\) −10.1357 14.0367i −0.450588 0.624006i
\(507\) −0.558428 + 0.967226i −0.0248007 + 0.0429560i
\(508\) −9.87092 0.942559i −0.437951 0.0418193i
\(509\) −22.9564 21.8889i −1.01753 0.970208i −0.0179642 0.999839i \(-0.505719\pi\)
−0.999561 + 0.0296304i \(0.990567\pi\)
\(510\) 3.73614 4.31174i 0.165439 0.190927i
\(511\) 21.8977 + 15.0513i 0.968698 + 0.665832i
\(512\) 13.0494 + 15.0598i 0.576706 + 0.665554i
\(513\) −1.58422 + 1.24585i −0.0699451 + 0.0550054i
\(514\) 6.65705 6.34748i 0.293630 0.279976i
\(515\) −0.348589 7.31779i −0.0153607 0.322460i
\(516\) −11.8211 + 4.73244i −0.520393 + 0.208334i
\(517\) −8.00602 + 17.5307i −0.352104 + 0.771001i
\(518\) −2.84248 + 5.74608i −0.124891 + 0.252468i
\(519\) −1.16475 + 8.10099i −0.0511267 + 0.355594i
\(520\) −13.9066 7.16934i −0.609844 0.314396i
\(521\) 11.1500 10.6315i 0.488490 0.465774i −0.405349 0.914162i \(-0.632850\pi\)
0.893839 + 0.448388i \(0.148002\pi\)
\(522\) −0.837497 0.335283i −0.0366562 0.0146749i
\(523\) −5.95318 + 17.2006i −0.260314 + 0.752129i 0.736793 + 0.676119i \(0.236339\pi\)
−0.997107 + 0.0760100i \(0.975782\pi\)
\(524\) 12.5741 + 8.08089i 0.549303 + 0.353015i
\(525\) 1.00153 + 3.21247i 0.0437105 + 0.140204i
\(526\) −9.35476 + 2.74680i −0.407887 + 0.119766i
\(527\) 9.92180 13.9332i 0.432200 0.606940i
\(528\) −6.19801 + 10.7353i −0.269734 + 0.467193i
\(529\) −7.23506 + 21.8324i −0.314568 + 0.949235i
\(530\) −0.0562559 0.0974380i −0.00244360 0.00423244i
\(531\) 0.0825946 + 0.180857i 0.00358430 + 0.00784852i
\(532\) −6.18051 6.26997i −0.267959 0.271837i
\(533\) 1.43795 1.65948i 0.0622844 0.0718800i
\(534\) 0.393558 8.26180i 0.0170309 0.357523i
\(535\) −29.4159 + 5.66944i −1.27176 + 0.245111i
\(536\) 17.0108 + 6.81011i 0.734756 + 0.294152i
\(537\) −3.59231 14.8077i −0.155020 0.639000i
\(538\) −4.32851 + 2.78176i −0.186615 + 0.119930i
\(539\) 40.6259 13.4102i 1.74988 0.577619i
\(540\) −1.32434 + 2.89989i −0.0569904 + 0.124792i
\(541\) 42.2984 4.03901i 1.81855 0.173650i 0.870583 0.492021i \(-0.163742\pi\)
0.947966 + 0.318370i \(0.103136\pi\)
\(542\) −9.73226 7.65354i −0.418037 0.328748i
\(543\) 0.985152 + 20.6809i 0.0422769 + 0.887502i
\(544\) −6.49974 26.7923i −0.278674 1.14871i
\(545\) −3.65694 25.4346i −0.156646 1.08950i
\(546\) 2.09150 5.48679i 0.0895078 0.234813i
\(547\) 30.0625 + 19.3200i 1.28538 + 0.826062i 0.991541 0.129793i \(-0.0414314\pi\)
0.293837 + 0.955856i \(0.405068\pi\)
\(548\) 31.0408 + 5.98262i 1.32600 + 0.255565i
\(549\) 3.35732 13.8390i 0.143287 0.590636i
\(550\) −4.57073 0.436452i −0.194896 0.0186104i
\(551\) −1.53899 2.66561i −0.0655632 0.113559i
\(552\) −10.2895 + 1.05109i −0.437948 + 0.0447372i
\(553\) 11.8097 19.0654i 0.502200 0.810745i
\(554\) 0.227399 + 0.497934i 0.00966125 + 0.0211552i
\(555\) 5.73221 + 5.46565i 0.243319 + 0.232004i
\(556\) 10.0360 + 28.9970i 0.425620 + 1.22975i
\(557\) −17.2735 + 8.90508i −0.731900 + 0.377321i −0.783537 0.621345i \(-0.786586\pi\)
0.0516370 + 0.998666i \(0.483556\pi\)
\(558\) 0.660621 1.90874i 0.0279663 0.0808034i
\(559\) −4.12370 28.6809i −0.174414 1.21307i
\(560\) −9.84643 3.22572i −0.416088 0.136312i
\(561\) 25.7191 16.5287i 1.08586 0.697841i
\(562\) −3.55841 + 1.42457i −0.150102 + 0.0600919i
\(563\) 7.63577 + 10.7229i 0.321809 + 0.451918i 0.943513 0.331334i \(-0.107499\pi\)
−0.621704 + 0.783252i \(0.713559\pi\)
\(564\) 3.02003 + 4.24104i 0.127166 + 0.178580i
\(565\) −22.7160 + 9.09410i −0.955667 + 0.382591i
\(566\) 7.89387 5.07308i 0.331804 0.213238i
\(567\) −2.51427 0.823682i −0.105589 0.0345914i
\(568\) −2.78381 19.3618i −0.116806 0.812405i
\(569\) −11.5180 + 33.2790i −0.482859 + 1.39513i 0.396089 + 0.918212i \(0.370367\pi\)
−0.878948 + 0.476917i \(0.841754\pi\)
\(570\) 2.04312 1.05330i 0.0855768 0.0441179i
\(571\) 9.04562 + 26.1356i 0.378547 + 1.09374i 0.959961 + 0.280133i \(0.0903786\pi\)
−0.581414 + 0.813608i \(0.697500\pi\)
\(572\) −27.4397 26.1637i −1.14731 1.09396i
\(573\) −0.920683 2.01602i −0.0384621 0.0842203i
\(574\) −0.480958 + 0.776453i −0.0200748 + 0.0324085i
\(575\) 3.08456 + 5.26211i 0.128635 + 0.219445i
\(576\) 0.400474 + 0.693642i 0.0166864 + 0.0289017i
\(577\) −18.9123 1.80590i −0.787329 0.0751808i −0.306357 0.951917i \(-0.599110\pi\)
−0.480972 + 0.876736i \(0.659716\pi\)
\(578\) −1.11724 + 4.60531i −0.0464709 + 0.191556i
\(579\) 8.90214 + 1.71575i 0.369960 + 0.0713040i
\(580\) −4.09586 2.63225i −0.170071 0.109298i
\(581\) −10.9832 + 28.8132i −0.455662 + 1.19537i
\(582\) −0.752309 5.23242i −0.0311842 0.216891i
\(583\) −0.142141 0.585914i −0.00588689 0.0242661i
\(584\) 1.03061 + 21.6351i 0.0426469 + 0.895269i
\(585\) −5.70254 4.48452i −0.235771 0.185412i
\(586\) 6.31567 0.603074i 0.260898 0.0249127i
\(587\) 11.3691 24.8948i 0.469252 1.02752i −0.516028 0.856572i \(-0.672590\pi\)
0.985280 0.170947i \(-0.0546827\pi\)
\(588\) 2.35014 11.3161i 0.0969181 0.466669i
\(589\) 5.79755 3.72586i 0.238884 0.153521i
\(590\) −0.0534620 0.220374i −0.00220100 0.00907264i
\(591\) 10.1768 + 4.07419i 0.418619 + 0.167590i
\(592\) 8.16950 1.57454i 0.335764 0.0647133i
\(593\) 1.36310 28.6149i 0.0559757 1.17507i −0.779809 0.626017i \(-0.784684\pi\)
0.835785 0.549057i \(-0.185013\pi\)
\(594\) 2.36414 2.72836i 0.0970016 0.111946i
\(595\) 17.9393 + 18.1989i 0.735438 + 0.746083i
\(596\) 4.04814 + 8.86418i 0.165818 + 0.363091i
\(597\) −9.63967 16.6964i −0.394525 0.683338i
\(598\) 1.44521 10.5452i 0.0590988 0.431224i
\(599\) −12.9754 + 22.4741i −0.530161 + 0.918266i 0.469220 + 0.883082i \(0.344535\pi\)
−0.999381 + 0.0351846i \(0.988798\pi\)
\(600\) −1.59106 + 2.23433i −0.0649547 + 0.0912161i
\(601\) 25.5248 7.49477i 1.04118 0.305718i 0.283931 0.958845i \(-0.408361\pi\)
0.757249 + 0.653127i \(0.226543\pi\)
\(602\) 3.58725 + 11.5063i 0.146205 + 0.468961i
\(603\) 7.14742 + 4.59337i 0.291066 + 0.187056i
\(604\) −5.16747 + 14.9304i −0.210261 + 0.607511i
\(605\) 47.2385 + 18.9115i 1.92052 + 0.768860i
\(606\) −0.628410 + 0.599188i −0.0255274 + 0.0243403i
\(607\) 5.87028 + 3.02634i 0.238267 + 0.122835i 0.573226 0.819398i \(-0.305692\pi\)
−0.334958 + 0.942233i \(0.608722\pi\)
\(608\) 1.58080 10.9947i 0.0641097 0.445893i
\(609\) 1.79161 3.62174i 0.0725996 0.146760i
\(610\) −6.74706 + 14.7740i −0.273180 + 0.598182i
\(611\) −10.9992 + 4.40342i −0.444980 + 0.178143i
\(612\) −0.392986 8.24979i −0.0158855 0.333478i
\(613\) −18.9407 + 18.0599i −0.765008 + 0.729433i −0.968329 0.249679i \(-0.919675\pi\)
0.203321 + 0.979112i \(0.434827\pi\)
\(614\) −13.5486 + 10.6547i −0.546777 + 0.429990i
\(615\) 0.738960 + 0.852806i 0.0297978 + 0.0343884i
\(616\) 28.7392 + 19.7538i 1.15793 + 0.795903i
\(617\) 28.5693 32.9707i 1.15016 1.32735i 0.213565 0.976929i \(-0.431492\pi\)
0.936592 0.350423i \(-0.113962\pi\)
\(618\) 1.62205 + 1.54662i 0.0652485 + 0.0622143i
\(619\) −19.1783 1.83130i −0.770839 0.0736062i −0.297777 0.954635i \(-0.596245\pi\)
−0.473062 + 0.881029i \(0.656851\pi\)
\(620\) 5.45054 9.44061i 0.218899 0.379144i
\(621\) −4.77702 0.424359i −0.191695 0.0170289i
\(622\) 16.1011 0.645594
\(623\) 36.7526 + 4.66239i 1.47246 + 0.186795i
\(624\) −7.31191 + 2.14697i −0.292711 + 0.0859476i
\(625\) −16.7156 3.22166i −0.668623 0.128867i
\(626\) −17.9824 + 9.27057i −0.718721 + 0.370527i
\(627\) 12.0950 2.33112i 0.483028 0.0930961i
\(628\) −15.3081 + 12.0384i −0.610860 + 0.480386i
\(629\) −19.6881 5.78095i −0.785016 0.230502i
\(630\) 2.63800 + 1.46516i 0.105100 + 0.0583733i
\(631\) 0.752039 5.23055i 0.0299382 0.208225i −0.969362 0.245638i \(-0.921003\pi\)
0.999300 + 0.0374130i \(0.0119117\pi\)
\(632\) 18.1982 1.73772i 0.723887 0.0691228i
\(633\) 4.50806 + 6.33068i 0.179179 + 0.251622i
\(634\) −5.25793 4.13488i −0.208819 0.164217i
\(635\) 10.3069 + 5.31358i 0.409017 + 0.210863i
\(636\) −0.156279 0.0458876i −0.00619686 0.00181956i
\(637\) 23.7645 + 11.2683i 0.941583 + 0.446468i
\(638\) 3.61056 + 4.16681i 0.142943 + 0.164965i
\(639\) 0.431568 9.05973i 0.0170726 0.358397i
\(640\) −7.25986 20.9760i −0.286971 0.829149i
\(641\) −11.5456 + 47.5915i −0.456023 + 1.87975i 0.0190758 + 0.999818i \(0.493928\pi\)
−0.475098 + 0.879933i \(0.657588\pi\)
\(642\) 5.31601 7.46529i 0.209806 0.294632i
\(643\) 42.7012 1.68397 0.841985 0.539501i \(-0.181387\pi\)
0.841985 + 0.539501i \(0.181387\pi\)
\(644\) −0.486284 20.9443i −0.0191623 0.825319i
\(645\) 14.8907 0.586320
\(646\) −3.45431 + 4.85091i −0.135908 + 0.190856i
\(647\) 2.01371 8.30061i 0.0791669 0.326331i −0.918433 0.395577i \(-0.870544\pi\)
0.997600 + 0.0692469i \(0.0220596\pi\)
\(648\) −0.705376 2.03805i −0.0277098 0.0800622i
\(649\) 0.0578194 1.21378i 0.00226961 0.0476450i
\(650\) −1.84847 2.13325i −0.0725029 0.0836728i
\(651\) 8.29070 + 3.62100i 0.324938 + 0.141918i
\(652\) 16.5959 + 4.87301i 0.649947 + 0.190842i
\(653\) 2.01877 + 1.04075i 0.0790008 + 0.0407277i 0.497274 0.867593i \(-0.334334\pi\)
−0.418273 + 0.908321i \(0.637365\pi\)
\(654\) 6.17921 + 4.85938i 0.241626 + 0.190017i
\(655\) −10.1391 14.2384i −0.396167 0.556339i
\(656\) 1.17998 0.112674i 0.0460704 0.00439919i
\(657\) −1.42929 + 9.94091i −0.0557618 + 0.387832i
\(658\) 4.22636 2.53463i 0.164761 0.0988102i
\(659\) 11.9853 + 3.51920i 0.466881 + 0.137089i 0.506708 0.862118i \(-0.330862\pi\)
−0.0398265 + 0.999207i \(0.512681\pi\)
\(660\) 15.3155 12.0442i 0.596154 0.468821i
\(661\) 28.6492 5.52168i 1.11432 0.214768i 0.401327 0.915935i \(-0.368549\pi\)
0.712998 + 0.701166i \(0.247337\pi\)
\(662\) −10.3430 + 5.33218i −0.401991 + 0.207241i
\(663\) 18.4551 + 3.55692i 0.716735 + 0.138139i
\(664\) −24.1172 + 7.08146i −0.935931 + 0.274814i
\(665\) 3.98484 + 9.49340i 0.154525 + 0.368138i
\(666\) −2.42302 −0.0938901
\(667\) 1.67976 7.12908i 0.0650406 0.276039i
\(668\) −4.15086 + 7.18951i −0.160602 + 0.278170i
\(669\) −20.0667 1.91614i −0.775823 0.0740821i
\(670\) −7.01309 6.68697i −0.270939 0.258340i
\(671\) −56.9948 + 65.7755i −2.20026 + 2.53924i
\(672\) 13.1616 6.27703i 0.507719 0.242142i
\(673\) −6.22142 7.17991i −0.239818 0.276765i 0.623063 0.782172i \(-0.285888\pi\)
−0.862881 + 0.505407i \(0.831343\pi\)
\(674\) 15.1904 11.9459i 0.585112 0.460137i
\(675\) −0.920475 + 0.877671i −0.0354291 + 0.0337816i
\(676\) −0.0877422 1.84193i −0.00337470 0.0708436i
\(677\) −34.4512 + 13.7922i −1.32407 + 0.530077i −0.922587 0.385790i \(-0.873929\pi\)
−0.401482 + 0.915867i \(0.631505\pi\)
\(678\) 3.10962 6.80911i 0.119424 0.261502i
\(679\) 23.6286 1.51939i 0.906783 0.0583090i
\(680\) −2.96447 + 20.6183i −0.113682 + 0.790676i
\(681\) 0.522363 + 0.269297i 0.0200170 + 0.0103195i
\(682\) −8.93420 + 8.51874i −0.342108 + 0.326200i
\(683\) 15.5523 + 6.22619i 0.595091 + 0.238239i 0.649602 0.760275i \(-0.274936\pi\)
−0.0545107 + 0.998513i \(0.517360\pi\)
\(684\) 1.08836 3.14460i 0.0416143 0.120237i
\(685\) −31.0998 19.9866i −1.18826 0.763650i
\(686\) −10.5035 3.05852i −0.401026 0.116775i
\(687\) −11.4727 + 3.36868i −0.437709 + 0.128523i
\(688\) 9.07315 12.7415i 0.345911 0.485763i
\(689\) 0.185323 0.320988i 0.00706023 0.0122287i
\(690\) 5.25830 + 1.50636i 0.200180 + 0.0573460i
\(691\) −24.1446 41.8197i −0.918504 1.59090i −0.801689 0.597742i \(-0.796065\pi\)
−0.116815 0.993154i \(-0.537269\pi\)
\(692\) −5.61348 12.2918i −0.213393 0.467265i
\(693\) 11.3515 + 11.5158i 0.431208 + 0.437450i
\(694\) 1.69609 1.95740i 0.0643829 0.0743018i
\(695\) 1.70742 35.8432i 0.0647663 1.35961i
\(696\) 3.23418 0.623338i 0.122591 0.0236276i
\(697\) −2.71401 1.08653i −0.102800 0.0411551i
\(698\) −0.858085 3.53707i −0.0324790 0.133880i
\(699\) −9.16074 + 5.88725i −0.346491 + 0.222676i
\(700\) −4.25870 3.56805i −0.160964 0.134860i
\(701\) −10.9637 + 24.0071i −0.414093 + 0.906738i 0.581552 + 0.813509i \(0.302446\pi\)
−0.995645 + 0.0932280i \(0.970281\pi\)
\(702\) 2.20932 0.210965i 0.0833855 0.00796235i
\(703\) −6.49848 5.11046i −0.245095 0.192745i
\(704\) −0.232921 4.88962i −0.00877855 0.184284i
\(705\) −1.43545 5.91700i −0.0540621 0.222847i
\(706\) 1.03221 + 7.17920i 0.0388479 + 0.270193i
\(707\) −2.45456 3.01670i −0.0923131 0.113455i
\(708\) −0.276163 0.177479i −0.0103788 0.00667007i
\(709\) −27.2313 5.24841i −1.02269 0.197108i −0.349783 0.936831i \(-0.613745\pi\)
−0.672912 + 0.739723i \(0.734957\pi\)
\(710\) −2.43884 + 10.0530i −0.0915281 + 0.377284i
\(711\) 8.43814 + 0.805745i 0.316455 + 0.0302178i
\(712\) 15.0994 + 26.1528i 0.565872 + 0.980119i
\(713\) 16.1228 + 2.99720i 0.603803 + 0.112246i
\(714\) −7.81390 0.242191i −0.292428 0.00906378i
\(715\) 18.4188 + 40.3315i 0.688823 + 1.50831i
\(716\) 18.2077 + 17.3610i 0.680452 + 0.648810i
\(717\) −4.94922 14.2998i −0.184832 0.534037i
\(718\) 5.00339 2.57943i 0.186725 0.0962634i
\(719\) 11.8569 34.2581i 0.442186 1.27761i −0.475292 0.879828i \(-0.657658\pi\)
0.917479 0.397785i \(-0.130221\pi\)
\(720\) −0.557336 3.87636i −0.0207707 0.144463i
\(721\) −7.47641 + 6.69903i −0.278436 + 0.249485i
\(722\) 7.42307 4.77052i 0.276258 0.177540i
\(723\) 2.11191 0.845483i 0.0785429 0.0314438i
\(724\) −19.8290 27.8459i −0.736939 1.03489i
\(725\) −1.12669 1.58222i −0.0418443 0.0587621i
\(726\) −14.4514 + 5.78547i −0.536342 + 0.214719i
\(727\) −22.8345 + 14.6748i −0.846883 + 0.544259i −0.890601 0.454785i \(-0.849716\pi\)
0.0437179 + 0.999044i \(0.486080\pi\)
\(728\) 4.40651 + 20.9811i 0.163316 + 0.777610i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 3.74641 10.8245i 0.138661 0.400634i
\(731\) −34.2890 + 17.6772i −1.26823 + 0.653816i
\(732\) 7.69008 + 22.2190i 0.284234 + 0.821239i
\(733\) −14.0113 13.3598i −0.517519 0.493454i 0.385705 0.922622i \(-0.373958\pi\)
−0.903225 + 0.429168i \(0.858807\pi\)
\(734\) 6.93974 + 15.1959i 0.256150 + 0.560891i
\(735\) −7.46988 + 11.2641i −0.275531 + 0.415484i
\(736\) 20.6685 16.4758i 0.761850 0.607304i
\(737\) −25.9630 44.9692i −0.956360 1.65646i
\(738\) −0.343649 0.0328145i −0.0126499 0.00120792i
\(739\) −4.21192 + 17.3618i −0.154938 + 0.638663i 0.840379 + 0.541999i \(0.182332\pi\)
−0.995317 + 0.0966642i \(0.969183\pi\)
\(740\) −12.8408 2.47486i −0.472037 0.0909777i
\(741\) 6.37030 + 4.09394i 0.234019 + 0.150395i
\(742\) −0.0549133 + 0.144059i −0.00201593 + 0.00528856i
\(743\) 1.93588 + 13.4643i 0.0710205 + 0.493958i 0.994024 + 0.109166i \(0.0348179\pi\)
−0.923003 + 0.384792i \(0.874273\pi\)
\(744\) 1.73862 + 7.16668i 0.0637408 + 0.262743i
\(745\) −0.542242 11.3831i −0.0198662 0.417043i
\(746\) 17.3794 + 13.6673i 0.636306 + 0.500397i
\(747\) −11.6020 + 1.10786i −0.424494 + 0.0405343i
\(748\) −20.9691 + 45.9159i −0.766706 + 1.67885i
\(749\) 31.4652 + 26.3623i 1.14971 + 0.963258i
\(750\) 6.01769 3.86734i 0.219735 0.141215i
\(751\) −6.41785 26.4547i −0.234191 0.965347i −0.960567 0.278050i \(-0.910312\pi\)
0.726376 0.687297i \(-0.241203\pi\)
\(752\) −5.93762 2.37706i −0.216523 0.0866826i
\(753\) −1.06477 + 0.205218i −0.0388025 + 0.00747858i
\(754\) −0.161278 + 3.38563i −0.00587338 + 0.123297i
\(755\) 12.0995 13.9636i 0.440346 0.508186i
\(756\) 4.22752 1.10027i 0.153753 0.0400163i
\(757\) 12.0591 + 26.4057i 0.438295 + 0.959732i 0.991908 + 0.126958i \(0.0405213\pi\)
−0.553613 + 0.832774i \(0.686751\pi\)
\(758\) 3.59736 + 6.23081i 0.130662 + 0.226313i
\(759\) 24.7618 + 15.6835i 0.898795 + 0.569275i
\(760\) −4.19627 + 7.26816i −0.152215 + 0.263644i
\(761\) 3.19212 4.48271i 0.115714 0.162498i −0.752657 0.658413i \(-0.771228\pi\)
0.868371 + 0.495915i \(0.165167\pi\)
\(762\) −3.40379 + 0.999442i −0.123306 + 0.0362060i
\(763\) −23.8711 + 25.8830i −0.864193 + 0.937028i
\(764\) 3.07839 + 1.97836i 0.111372 + 0.0715747i
\(765\) −3.15901 + 9.12737i −0.114214 + 0.330001i
\(766\) −3.34859 1.34057i −0.120989 0.0484369i
\(767\) 0.540651 0.515510i 0.0195218 0.0186140i
\(768\) 4.61185 + 2.37757i 0.166416 + 0.0857932i
\(769\) 4.71316 32.7808i 0.169961 1.18210i −0.708999 0.705209i \(-0.750853\pi\)
0.878960 0.476895i \(-0.158238\pi\)
\(770\) −10.2272 15.3470i −0.368561 0.553068i
\(771\) −6.46881 + 14.1647i −0.232968 + 0.510129i
\(772\) −13.8964 + 5.56329i −0.500144 + 0.200227i