Properties

Label 400.2.bm.a.147.54
Level $400$
Weight $2$
Character 400.147
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 147.54
Character \(\chi\) \(=\) 400.147
Dual form 400.2.bm.a.283.54

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36130 - 0.383224i) q^{2} +(1.52148 - 2.09413i) q^{3} +(1.70628 - 1.04337i) q^{4} +(-2.19349 + 0.434303i) q^{5} +(1.26867 - 3.43381i) q^{6} +(-0.912906 - 0.912906i) q^{7} +(1.92291 - 2.07422i) q^{8} +(-1.14345 - 3.51919i) q^{9} +O(q^{10})\) \(q+(1.36130 - 0.383224i) q^{2} +(1.52148 - 2.09413i) q^{3} +(1.70628 - 1.04337i) q^{4} +(-2.19349 + 0.434303i) q^{5} +(1.26867 - 3.43381i) q^{6} +(-0.912906 - 0.912906i) q^{7} +(1.92291 - 2.07422i) q^{8} +(-1.14345 - 3.51919i) q^{9} +(-2.81956 + 1.43181i) q^{10} +(-1.23891 + 0.631254i) q^{11} +(0.411114 - 5.16063i) q^{12} +(0.633547 + 1.94986i) q^{13} +(-1.59259 - 0.892892i) q^{14} +(-2.42785 + 5.25424i) q^{15} +(1.82277 - 3.56055i) q^{16} +(-1.61335 - 0.255529i) q^{17} +(-2.90522 - 4.35247i) q^{18} +(7.18562 + 1.13809i) q^{19} +(-3.28956 + 3.02965i) q^{20} +(-3.30071 + 0.522782i) q^{21} +(-1.44461 + 1.33411i) q^{22} +(2.93279 + 5.75592i) q^{23} +(-1.41803 - 7.18272i) q^{24} +(4.62276 - 1.90528i) q^{25} +(1.60968 + 2.41155i) q^{26} +(-1.72398 - 0.560155i) q^{27} +(-2.51017 - 0.605176i) q^{28} +(-1.61627 + 0.255991i) q^{29} +(-1.29148 + 8.08301i) q^{30} +(0.943047 + 1.29799i) q^{31} +(1.11685 - 5.54551i) q^{32} +(-0.563037 + 3.55488i) q^{33} +(-2.29418 + 0.270422i) q^{34} +(2.39892 + 1.60597i) q^{35} +(-5.62285 - 4.81167i) q^{36} +(-0.187698 - 0.577674i) q^{37} +(10.2179 - 1.20442i) q^{38} +(5.04719 + 1.63993i) q^{39} +(-3.31704 + 5.38491i) q^{40} +(-1.27266 + 0.413511i) q^{41} +(-4.29292 + 1.97658i) q^{42} -10.1224 q^{43} +(-1.45529 + 2.36973i) q^{44} +(4.03654 + 7.22268i) q^{45} +(6.19821 + 6.71162i) q^{46} +(-4.36134 + 0.690768i) q^{47} +(-4.68296 - 9.23442i) q^{48} -5.33321i q^{49} +(5.56282 - 4.36521i) q^{50} +(-2.98979 + 2.98979i) q^{51} +(3.11542 + 2.66598i) q^{52} +(-4.72082 + 6.49765i) q^{53} +(-2.56152 - 0.101868i) q^{54} +(2.44337 - 1.92271i) q^{55} +(-3.64901 + 0.138131i) q^{56} +(13.3161 - 13.3161i) q^{57} +(-2.10212 + 0.967873i) q^{58} +(7.46736 + 3.80481i) q^{59} +(1.33951 + 11.4983i) q^{60} +(-1.67332 + 0.852598i) q^{61} +(1.78119 + 1.40556i) q^{62} +(-2.16882 + 4.25655i) q^{63} +(-0.604802 - 7.97711i) q^{64} +(-2.23651 - 4.00183i) q^{65} +(0.595852 + 5.05502i) q^{66} +(-10.6303 + 7.72340i) q^{67} +(-3.01943 + 1.24731i) q^{68} +(16.5158 + 2.61585i) q^{69} +(3.88110 + 1.26688i) q^{70} +(-7.76017 - 5.63810i) q^{71} +(-9.49834 - 4.39532i) q^{72} +(8.72445 - 4.44533i) q^{73} +(-0.476892 - 0.714458i) q^{74} +(3.04352 - 12.5795i) q^{75} +(13.4481 - 5.55534i) q^{76} +(1.70728 + 0.554729i) q^{77} +(7.49921 + 0.298234i) q^{78} +(8.72968 + 6.34249i) q^{79} +(-2.45187 + 8.60165i) q^{80} +(5.18476 - 3.76695i) q^{81} +(-1.57400 + 1.05062i) q^{82} +(-8.63172 - 11.8805i) q^{83} +(-5.08648 + 4.33587i) q^{84} +(3.64984 - 0.140182i) q^{85} +(-13.7796 + 3.87914i) q^{86} +(-1.92303 + 3.77416i) q^{87} +(-1.07295 + 3.78362i) q^{88} +(4.68730 - 14.4260i) q^{89} +(8.26285 + 8.28534i) q^{90} +(1.20167 - 2.35841i) q^{91} +(11.0097 + 6.76123i) q^{92} +4.15299 q^{93} +(-5.67238 + 2.61171i) q^{94} +(-16.2558 + 0.624352i) q^{95} +(-9.91377 - 10.7762i) q^{96} +(1.74236 + 11.0008i) q^{97} +(-2.04381 - 7.26010i) q^{98} +(3.63813 + 3.63813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{17}{20}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36130 0.383224i 0.962585 0.270980i
\(3\) 1.52148 2.09413i 0.878425 1.20905i −0.0984291 0.995144i \(-0.531382\pi\)
0.976855 0.213905i \(-0.0686182\pi\)
\(4\) 1.70628 1.04337i 0.853139 0.521683i
\(5\) −2.19349 + 0.434303i −0.980957 + 0.194226i
\(6\) 1.26867 3.43381i 0.517930 1.40185i
\(7\) −0.912906 0.912906i −0.345046 0.345046i 0.513214 0.858260i \(-0.328455\pi\)
−0.858260 + 0.513214i \(0.828455\pi\)
\(8\) 1.92291 2.07422i 0.679853 0.733349i
\(9\) −1.14345 3.51919i −0.381151 1.17306i
\(10\) −2.81956 + 1.43181i −0.891623 + 0.452779i
\(11\) −1.23891 + 0.631254i −0.373544 + 0.190330i −0.630676 0.776046i \(-0.717222\pi\)
0.257132 + 0.966376i \(0.417222\pi\)
\(12\) 0.411114 5.16063i 0.118678 1.48975i
\(13\) 0.633547 + 1.94986i 0.175714 + 0.540793i 0.999665 0.0258678i \(-0.00823490\pi\)
−0.823951 + 0.566661i \(0.808235\pi\)
\(14\) −1.59259 0.892892i −0.425637 0.238635i
\(15\) −2.42785 + 5.25424i −0.626868 + 1.35664i
\(16\) 1.82277 3.56055i 0.455693 0.890137i
\(17\) −1.61335 0.255529i −0.391295 0.0619750i −0.0423127 0.999104i \(-0.513473\pi\)
−0.348982 + 0.937129i \(0.613473\pi\)
\(18\) −2.90522 4.35247i −0.684767 1.02589i
\(19\) 7.18562 + 1.13809i 1.64849 + 0.261096i 0.910438 0.413645i \(-0.135744\pi\)
0.738055 + 0.674740i \(0.235744\pi\)
\(20\) −3.28956 + 3.02965i −0.735568 + 0.677451i
\(21\) −3.30071 + 0.522782i −0.720275 + 0.114080i
\(22\) −1.44461 + 1.33411i −0.307992 + 0.284432i
\(23\) 2.93279 + 5.75592i 0.611529 + 1.20019i 0.964382 + 0.264514i \(0.0852114\pi\)
−0.352853 + 0.935679i \(0.614789\pi\)
\(24\) −1.41803 7.18272i −0.289454 1.46617i
\(25\) 4.62276 1.90528i 0.924552 0.381055i
\(26\) 1.60968 + 2.41155i 0.315684 + 0.472944i
\(27\) −1.72398 0.560155i −0.331780 0.107802i
\(28\) −2.51017 0.605176i −0.474377 0.114367i
\(29\) −1.61627 + 0.255991i −0.300133 + 0.0475364i −0.304685 0.952453i \(-0.598551\pi\)
0.00455181 + 0.999990i \(0.498551\pi\)
\(30\) −1.29148 + 8.08301i −0.235792 + 1.47575i
\(31\) 0.943047 + 1.29799i 0.169376 + 0.233126i 0.885264 0.465089i \(-0.153978\pi\)
−0.715888 + 0.698215i \(0.753978\pi\)
\(32\) 1.11685 5.54551i 0.197433 0.980316i
\(33\) −0.563037 + 3.55488i −0.0980122 + 0.618824i
\(34\) −2.29418 + 0.270422i −0.393448 + 0.0463770i
\(35\) 2.39892 + 1.60597i 0.405492 + 0.271458i
\(36\) −5.62285 4.81167i −0.937142 0.801945i
\(37\) −0.187698 0.577674i −0.0308573 0.0949691i 0.934442 0.356116i \(-0.115899\pi\)
−0.965299 + 0.261147i \(0.915899\pi\)
\(38\) 10.2179 1.20442i 1.65757 0.195383i
\(39\) 5.04719 + 1.63993i 0.808197 + 0.262599i
\(40\) −3.31704 + 5.38491i −0.524471 + 0.851429i
\(41\) −1.27266 + 0.413511i −0.198755 + 0.0645795i −0.406703 0.913560i \(-0.633322\pi\)
0.207948 + 0.978140i \(0.433322\pi\)
\(42\) −4.29292 + 1.97658i −0.662412 + 0.304992i
\(43\) −10.1224 −1.54365 −0.771823 0.635837i \(-0.780655\pi\)
−0.771823 + 0.635837i \(0.780655\pi\)
\(44\) −1.45529 + 2.36973i −0.219393 + 0.357250i
\(45\) 4.03654 + 7.22268i 0.601732 + 1.07669i
\(46\) 6.19821 + 6.71162i 0.913877 + 0.989575i
\(47\) −4.36134 + 0.690768i −0.636167 + 0.100759i −0.466184 0.884688i \(-0.654371\pi\)
−0.169983 + 0.985447i \(0.554371\pi\)
\(48\) −4.68296 9.23442i −0.675927 1.33287i
\(49\) 5.33321i 0.761887i
\(50\) 5.56282 4.36521i 0.786702 0.617334i
\(51\) −2.98979 + 2.98979i −0.418654 + 0.418654i
\(52\) 3.11542 + 2.66598i 0.432032 + 0.369705i
\(53\) −4.72082 + 6.49765i −0.648455 + 0.892521i −0.999031 0.0440130i \(-0.985986\pi\)
0.350576 + 0.936534i \(0.385986\pi\)
\(54\) −2.56152 0.101868i −0.348579 0.0138625i
\(55\) 2.44337 1.92271i 0.329464 0.259258i
\(56\) −3.64901 + 0.138131i −0.487619 + 0.0184585i
\(57\) 13.3161 13.3161i 1.76376 1.76376i
\(58\) −2.10212 + 0.967873i −0.276022 + 0.127088i
\(59\) 7.46736 + 3.80481i 0.972167 + 0.495344i 0.866565 0.499064i \(-0.166323\pi\)
0.105602 + 0.994408i \(0.466323\pi\)
\(60\) 1.33951 + 11.4983i 0.172930 + 1.48443i
\(61\) −1.67332 + 0.852598i −0.214246 + 0.109164i −0.557821 0.829962i \(-0.688362\pi\)
0.343574 + 0.939126i \(0.388362\pi\)
\(62\) 1.78119 + 1.40556i 0.226212 + 0.178506i
\(63\) −2.16882 + 4.25655i −0.273246 + 0.536275i
\(64\) −0.604802 7.97711i −0.0756003 0.997138i
\(65\) −2.23651 4.00183i −0.277404 0.496366i
\(66\) 0.595852 + 5.05502i 0.0733443 + 0.622230i
\(67\) −10.6303 + 7.72340i −1.29870 + 0.943563i −0.999942 0.0107650i \(-0.996573\pi\)
−0.298761 + 0.954328i \(0.596573\pi\)
\(68\) −3.01943 + 1.24731i −0.366160 + 0.151259i
\(69\) 16.5158 + 2.61585i 1.98827 + 0.314912i
\(70\) 3.88110 + 1.26688i 0.463880 + 0.151421i
\(71\) −7.76017 5.63810i −0.920963 0.669119i 0.0228003 0.999740i \(-0.492742\pi\)
−0.943764 + 0.330621i \(0.892742\pi\)
\(72\) −9.49834 4.39532i −1.11939 0.517993i
\(73\) 8.72445 4.44533i 1.02112 0.520286i 0.138494 0.990363i \(-0.455774\pi\)
0.882625 + 0.470077i \(0.155774\pi\)
\(74\) −0.476892 0.714458i −0.0554376 0.0830541i
\(75\) 3.04352 12.5795i 0.351436 1.45256i
\(76\) 13.4481 5.55534i 1.54260 0.637241i
\(77\) 1.70728 + 0.554729i 0.194563 + 0.0632173i
\(78\) 7.49921 + 0.298234i 0.849118 + 0.0337684i
\(79\) 8.72968 + 6.34249i 0.982166 + 0.713585i 0.958192 0.286127i \(-0.0923680\pi\)
0.0239744 + 0.999713i \(0.492368\pi\)
\(80\) −2.45187 + 8.60165i −0.274127 + 0.961693i
\(81\) 5.18476 3.76695i 0.576085 0.418550i
\(82\) −1.57400 + 1.05062i −0.173819 + 0.116022i
\(83\) −8.63172 11.8805i −0.947454 1.30406i −0.952649 0.304073i \(-0.901653\pi\)
0.00519443 0.999987i \(-0.498347\pi\)
\(84\) −5.08648 + 4.33587i −0.554981 + 0.473082i
\(85\) 3.64984 0.140182i 0.395880 0.0152049i
\(86\) −13.7796 + 3.87914i −1.48589 + 0.418298i
\(87\) −1.92303 + 3.77416i −0.206171 + 0.404633i
\(88\) −1.07295 + 3.78362i −0.114377 + 0.403335i
\(89\) 4.68730 14.4260i 0.496853 1.52916i −0.317196 0.948360i \(-0.602741\pi\)
0.814049 0.580796i \(-0.197259\pi\)
\(90\) 8.26285 + 8.28534i 0.870981 + 0.873351i
\(91\) 1.20167 2.35841i 0.125969 0.247228i
\(92\) 11.0097 + 6.76123i 1.14784 + 0.704907i
\(93\) 4.15299 0.430645
\(94\) −5.67238 + 2.61171i −0.585061 + 0.269378i
\(95\) −16.2558 + 0.624352i −1.66781 + 0.0640571i
\(96\) −9.91377 10.7762i −1.01182 1.09984i
\(97\) 1.74236 + 11.0008i 0.176910 + 1.11696i 0.903087 + 0.429457i \(0.141295\pi\)
−0.726177 + 0.687507i \(0.758705\pi\)
\(98\) −2.04381 7.26010i −0.206456 0.733380i
\(99\) 3.63813 + 3.63813i 0.365646 + 0.365646i
\(100\) 5.89982 8.07417i 0.589982 0.807417i
\(101\) −9.46160 + 9.46160i −0.941464 + 0.941464i −0.998379 0.0569149i \(-0.981874\pi\)
0.0569149 + 0.998379i \(0.481874\pi\)
\(102\) −2.92424 + 5.21576i −0.289543 + 0.516437i
\(103\) −1.52259 + 0.241155i −0.150025 + 0.0237617i −0.230995 0.972955i \(-0.574198\pi\)
0.0809699 + 0.996717i \(0.474198\pi\)
\(104\) 5.26270 + 2.43529i 0.516050 + 0.238800i
\(105\) 7.01302 2.58022i 0.684401 0.251804i
\(106\) −3.93640 + 10.6544i −0.382337 + 1.03485i
\(107\) 20.2048i 1.95327i 0.214897 + 0.976637i \(0.431058\pi\)
−0.214897 + 0.976637i \(0.568942\pi\)
\(108\) −3.52604 + 0.842963i −0.339293 + 0.0811141i
\(109\) 4.38742 + 2.23550i 0.420238 + 0.214122i 0.651305 0.758816i \(-0.274222\pi\)
−0.231067 + 0.972938i \(0.574222\pi\)
\(110\) 2.58933 3.55374i 0.246883 0.338836i
\(111\) −1.49531 0.485854i −0.141928 0.0461152i
\(112\) −4.91446 + 1.58643i −0.464373 + 0.149903i
\(113\) 0.0419785 + 0.0213891i 0.00394901 + 0.00201212i 0.455964 0.889998i \(-0.349295\pi\)
−0.452015 + 0.892010i \(0.649295\pi\)
\(114\) 13.0241 23.2302i 1.21982 2.17571i
\(115\) −8.93284 11.3518i −0.832992 1.05856i
\(116\) −2.49071 + 2.12315i −0.231256 + 0.197130i
\(117\) 6.13748 4.45914i 0.567410 0.412248i
\(118\) 11.6234 + 2.31782i 1.07002 + 0.213372i
\(119\) 1.23956 + 1.70611i 0.113630 + 0.156399i
\(120\) 6.22991 + 15.1393i 0.568710 + 1.38203i
\(121\) −5.32923 + 7.33506i −0.484475 + 0.666823i
\(122\) −1.95115 + 1.80190i −0.176649 + 0.163136i
\(123\) −1.07037 + 3.29426i −0.0965120 + 0.297033i
\(124\) 2.96338 + 1.23079i 0.266120 + 0.110528i
\(125\) −9.31250 + 6.18688i −0.832935 + 0.553371i
\(126\) −1.32120 + 6.62559i −0.117702 + 0.590254i
\(127\) −8.98756 17.6391i −0.797517 1.56522i −0.824690 0.565584i \(-0.808651\pi\)
0.0271736 0.999631i \(-0.491349\pi\)
\(128\) −3.88034 10.6275i −0.342977 0.939344i
\(129\) −15.4010 + 21.1976i −1.35598 + 1.86634i
\(130\) −4.57816 4.59062i −0.401531 0.402624i
\(131\) −2.02220 + 12.7676i −0.176680 + 1.11551i 0.726789 + 0.686861i \(0.241012\pi\)
−0.903469 + 0.428653i \(0.858988\pi\)
\(132\) 2.74834 + 6.65306i 0.239212 + 0.579075i
\(133\) −5.52082 7.59876i −0.478716 0.658896i
\(134\) −11.5113 + 14.5877i −0.994425 + 1.26018i
\(135\) 4.02480 + 0.479962i 0.346400 + 0.0413086i
\(136\) −3.63236 + 2.85509i −0.311472 + 0.244822i
\(137\) −9.59117 4.88694i −0.819429 0.417520i −0.00656845 0.999978i \(-0.502091\pi\)
−0.812860 + 0.582459i \(0.802091\pi\)
\(138\) 23.4855 2.76831i 1.99922 0.235654i
\(139\) −1.00325 1.96899i −0.0850945 0.167007i 0.844538 0.535496i \(-0.179875\pi\)
−0.929632 + 0.368489i \(0.879875\pi\)
\(140\) 5.76885 + 0.237271i 0.487556 + 0.0200531i
\(141\) −5.18912 + 10.1842i −0.437003 + 0.857666i
\(142\) −12.7246 4.70126i −1.06782 0.394521i
\(143\) −2.01576 2.01576i −0.168566 0.168566i
\(144\) −14.6145 2.34335i −1.21787 0.195279i
\(145\) 3.43408 1.26346i 0.285185 0.104925i
\(146\) 10.1730 9.39485i 0.841927 0.777523i
\(147\) −11.1684 8.11435i −0.921158 0.669261i
\(148\) −0.922991 0.789836i −0.0758694 0.0649241i
\(149\) −1.69863 1.69863i −0.139157 0.139157i 0.634097 0.773254i \(-0.281372\pi\)
−0.773254 + 0.634097i \(0.781372\pi\)
\(150\) −0.677624 18.2909i −0.0553278 1.49344i
\(151\) 1.39164 0.113250 0.0566252 0.998396i \(-0.481966\pi\)
0.0566252 + 0.998396i \(0.481966\pi\)
\(152\) 16.1780 12.7161i 1.31221 1.03141i
\(153\) 0.945534 + 5.96986i 0.0764419 + 0.482635i
\(154\) 2.53671 + 0.100882i 0.204414 + 0.00812928i
\(155\) −2.63228 2.43756i −0.211430 0.195790i
\(156\) 10.3230 2.46789i 0.826499 0.197589i
\(157\) 19.3616i 1.54523i −0.634877 0.772614i \(-0.718949\pi\)
0.634877 0.772614i \(-0.281051\pi\)
\(158\) 14.3143 + 5.28860i 1.13879 + 0.420739i
\(159\) 6.42433 + 19.7721i 0.509483 + 1.56803i
\(160\) −0.0413670 + 12.6490i −0.00327035 + 0.999995i
\(161\) 2.57725 7.93197i 0.203116 0.625127i
\(162\) 5.61443 7.11488i 0.441111 0.558998i
\(163\) −5.96451 + 1.93799i −0.467177 + 0.151795i −0.533140 0.846027i \(-0.678988\pi\)
0.0659631 + 0.997822i \(0.478988\pi\)
\(164\) −1.74006 + 2.03341i −0.135876 + 0.158783i
\(165\) −0.308880 8.04210i −0.0240463 0.626077i
\(166\) −16.3033 12.8651i −1.26538 0.998526i
\(167\) 23.5125 + 3.72402i 1.81945 + 0.288173i 0.970643 0.240526i \(-0.0773198\pi\)
0.848810 + 0.528699i \(0.177320\pi\)
\(168\) −5.26262 + 7.85168i −0.406020 + 0.605770i
\(169\) 7.11666 5.17055i 0.547435 0.397735i
\(170\) 4.91480 1.58954i 0.376948 0.121912i
\(171\) −4.21126 26.5889i −0.322043 2.03330i
\(172\) −17.2716 + 10.5613i −1.31695 + 0.805295i
\(173\) 5.91377 18.2007i 0.449616 1.38378i −0.427726 0.903909i \(-0.640685\pi\)
0.877341 0.479867i \(-0.159315\pi\)
\(174\) −1.17147 + 5.87472i −0.0888092 + 0.445361i
\(175\) −5.95948 2.48081i −0.450495 0.187532i
\(176\) −0.0106318 + 5.56182i −0.000801399 + 0.419238i
\(177\) 19.3292 9.84872i 1.45287 0.740275i
\(178\) 0.852421 21.4344i 0.0638917 1.60658i
\(179\) 1.21115 + 7.64689i 0.0905255 + 0.571555i 0.990704 + 0.136035i \(0.0434358\pi\)
−0.900179 + 0.435521i \(0.856564\pi\)
\(180\) 14.4234 + 8.11231i 1.07505 + 0.604656i
\(181\) −1.61524 + 10.1982i −0.120060 + 0.758027i 0.852043 + 0.523472i \(0.175363\pi\)
−0.972103 + 0.234555i \(0.924637\pi\)
\(182\) 0.732033 3.67101i 0.0542619 0.272113i
\(183\) −0.760461 + 4.80136i −0.0562149 + 0.354927i
\(184\) 17.5786 + 4.98488i 1.29591 + 0.367491i
\(185\) 0.662598 + 1.18560i 0.0487152 + 0.0871673i
\(186\) 5.65347 1.59153i 0.414533 0.116697i
\(187\) 2.16009 0.701857i 0.157962 0.0513249i
\(188\) −6.72094 + 5.72912i −0.490175 + 0.417839i
\(189\) 1.06246 + 2.08520i 0.0772827 + 0.151676i
\(190\) −21.8898 + 7.07956i −1.58805 + 0.513605i
\(191\) −4.90458 + 1.59359i −0.354883 + 0.115308i −0.481032 0.876703i \(-0.659738\pi\)
0.126150 + 0.992011i \(0.459738\pi\)
\(192\) −17.6253 10.8704i −1.27200 0.784507i
\(193\) 8.19999 8.19999i 0.590248 0.590248i −0.347450 0.937698i \(-0.612952\pi\)
0.937698 + 0.347450i \(0.112952\pi\)
\(194\) 6.58766 + 14.3077i 0.472966 + 1.02723i
\(195\) −11.7832 1.40516i −0.843810 0.100625i
\(196\) −5.56449 9.09993i −0.397464 0.649995i
\(197\) −21.0947 15.3262i −1.50293 1.09195i −0.969194 0.246298i \(-0.920786\pi\)
−0.533740 0.845648i \(-0.679214\pi\)
\(198\) 6.34681 + 3.55837i 0.451048 + 0.252882i
\(199\) 6.12326i 0.434066i −0.976164 0.217033i \(-0.930362\pi\)
0.976164 0.217033i \(-0.0696379\pi\)
\(200\) 4.93721 13.2523i 0.349113 0.937081i
\(201\) 34.0123i 2.39905i
\(202\) −9.25416 + 16.5060i −0.651121 + 1.16136i
\(203\) 1.70919 + 1.24180i 0.119962 + 0.0871574i
\(204\) −1.98197 + 8.22086i −0.138765 + 0.575575i
\(205\) 2.61196 1.45975i 0.182427 0.101953i
\(206\) −1.98029 + 0.911779i −0.137973 + 0.0635266i
\(207\) 16.9027 16.9027i 1.17482 1.17482i
\(208\) 8.09737 + 1.29837i 0.561452 + 0.0900258i
\(209\) −9.62073 + 3.12597i −0.665480 + 0.216228i
\(210\) 8.55803 6.20002i 0.590560 0.427842i
\(211\) 1.84029 + 3.61177i 0.126691 + 0.248644i 0.945636 0.325227i \(-0.105441\pi\)
−0.818945 + 0.573872i \(0.805441\pi\)
\(212\) −1.27560 + 16.0123i −0.0876085 + 1.09973i
\(213\) −23.6139 + 7.67261i −1.61800 + 0.525718i
\(214\) 7.74298 + 27.5048i 0.529299 + 1.88019i
\(215\) 22.2033 4.39618i 1.51425 0.299817i
\(216\) −4.47695 + 2.49879i −0.304618 + 0.170021i
\(217\) 0.324032 2.04586i 0.0219967 0.138882i
\(218\) 6.82929 + 1.36182i 0.462538 + 0.0922344i
\(219\) 3.96494 25.0336i 0.267926 1.69162i
\(220\) 2.16298 5.83001i 0.145828 0.393059i
\(221\) −0.523887 3.30769i −0.0352405 0.222499i
\(222\) −2.22175 0.0883563i −0.149114 0.00593008i
\(223\) 12.6252 6.43285i 0.845445 0.430776i 0.0230784 0.999734i \(-0.492653\pi\)
0.822367 + 0.568958i \(0.192653\pi\)
\(224\) −6.08211 + 4.04295i −0.406378 + 0.270131i
\(225\) −11.9909 14.0898i −0.799395 0.939318i
\(226\) 0.0653422 + 0.0130298i 0.00434650 + 0.000866732i
\(227\) 0.263402 0.810668i 0.0174826 0.0538059i −0.941935 0.335796i \(-0.890995\pi\)
0.959417 + 0.281990i \(0.0909946\pi\)
\(228\) 8.82737 36.6145i 0.584607 2.42485i
\(229\) −2.22044 14.0193i −0.146731 0.926424i −0.945698 0.325048i \(-0.894620\pi\)
0.798966 0.601376i \(-0.205380\pi\)
\(230\) −16.5106 12.0299i −1.08868 0.793231i
\(231\) 3.75927 2.73127i 0.247342 0.179704i
\(232\) −2.57696 + 3.84474i −0.169185 + 0.252420i
\(233\) −8.38591 1.32820i −0.549379 0.0870131i −0.124427 0.992229i \(-0.539709\pi\)
−0.424952 + 0.905216i \(0.639709\pi\)
\(234\) 6.64611 8.42226i 0.434470 0.550581i
\(235\) 9.26654 3.40933i 0.604482 0.222400i
\(236\) 16.7112 1.29913i 1.08781 0.0845662i
\(237\) 26.5640 8.63118i 1.72552 0.560655i
\(238\) 2.34124 + 1.84750i 0.151760 + 0.119756i
\(239\) −4.04890 + 12.4612i −0.261902 + 0.806051i 0.730489 + 0.682924i \(0.239292\pi\)
−0.992391 + 0.123127i \(0.960708\pi\)
\(240\) 14.2825 + 18.2218i 0.921934 + 1.17621i
\(241\) 0.530410 + 1.63243i 0.0341667 + 0.105154i 0.966685 0.255967i \(-0.0823939\pi\)
−0.932519 + 0.361122i \(0.882394\pi\)
\(242\) −4.44371 + 12.0275i −0.285653 + 0.773157i
\(243\) 22.0270i 1.41303i
\(244\) −1.96557 + 3.20065i −0.125833 + 0.204901i
\(245\) 2.31623 + 11.6983i 0.147978 + 0.747378i
\(246\) −0.194655 + 4.89467i −0.0124107 + 0.312073i
\(247\) 2.33331 + 14.7320i 0.148465 + 0.937372i
\(248\) 4.50572 + 0.539839i 0.286114 + 0.0342798i
\(249\) −38.0124 −2.40894
\(250\) −10.3061 + 11.9910i −0.651818 + 0.758376i
\(251\) 6.80914 + 6.80914i 0.429789 + 0.429789i 0.888556 0.458767i \(-0.151709\pi\)
−0.458767 + 0.888556i \(0.651709\pi\)
\(252\) 0.740531 + 9.52574i 0.0466491 + 0.600065i
\(253\) −7.26690 5.27971i −0.456866 0.331933i
\(254\) −18.9945 20.5678i −1.19182 1.29054i
\(255\) 5.25958 7.85653i 0.329368 0.491995i
\(256\) −9.35501 12.9801i −0.584688 0.811258i
\(257\) 10.5002 + 10.5002i 0.654983 + 0.654983i 0.954189 0.299206i \(-0.0967217\pi\)
−0.299206 + 0.954189i \(0.596722\pi\)
\(258\) −12.8419 + 34.7583i −0.799502 + 2.16396i
\(259\) −0.356012 + 0.698713i −0.0221215 + 0.0434159i
\(260\) −7.99148 4.49475i −0.495611 0.278752i
\(261\) 2.74900 + 5.39523i 0.170159 + 0.333956i
\(262\) 2.14005 + 18.1556i 0.132213 + 1.12165i
\(263\) 5.21316 + 2.65624i 0.321457 + 0.163791i 0.607271 0.794494i \(-0.292264\pi\)
−0.285814 + 0.958285i \(0.592264\pi\)
\(264\) 6.29093 + 8.00359i 0.387180 + 0.492587i
\(265\) 7.53310 16.3028i 0.462755 1.00147i
\(266\) −10.4275 8.22848i −0.639353 0.504521i
\(267\) −23.0784 31.7647i −1.41238 1.94397i
\(268\) −10.0800 + 24.2696i −0.615733 + 1.48250i
\(269\) 1.35337 8.54486i 0.0825166 0.520989i −0.911459 0.411390i \(-0.865043\pi\)
0.993976 0.109599i \(-0.0349567\pi\)
\(270\) 5.66290 0.889029i 0.344633 0.0541046i
\(271\) 16.0139 22.0412i 0.972773 1.33891i 0.0321401 0.999483i \(-0.489768\pi\)
0.940633 0.339424i \(-0.110232\pi\)
\(272\) −3.85059 + 5.27864i −0.233476 + 0.320064i
\(273\) −3.11051 6.10471i −0.188256 0.369474i
\(274\) −14.9293 2.97703i −0.901910 0.179849i
\(275\) −4.52446 + 5.27860i −0.272835 + 0.318311i
\(276\) 30.9099 12.7687i 1.86056 0.768586i
\(277\) −4.11654 + 12.6694i −0.247339 + 0.761231i 0.747904 + 0.663807i \(0.231060\pi\)
−0.995243 + 0.0974239i \(0.968940\pi\)
\(278\) −2.12029 2.29592i −0.127166 0.137700i
\(279\) 3.48955 4.80295i 0.208914 0.287545i
\(280\) 7.94406 1.88776i 0.474748 0.112815i
\(281\) −8.93344 12.2958i −0.532924 0.733508i 0.454648 0.890671i \(-0.349765\pi\)
−0.987573 + 0.157164i \(0.949765\pi\)
\(282\) −3.16111 + 15.8524i −0.188241 + 0.943996i
\(283\) 2.57287 1.86930i 0.152942 0.111119i −0.508683 0.860954i \(-0.669867\pi\)
0.661624 + 0.749835i \(0.269867\pi\)
\(284\) −19.1236 1.52345i −1.13478 0.0904004i
\(285\) −23.4254 + 34.9918i −1.38760 + 2.07274i
\(286\) −3.51655 1.97157i −0.207938 0.116581i
\(287\) 1.53931 + 0.784318i 0.0908627 + 0.0462968i
\(288\) −20.7927 + 2.41062i −1.22522 + 0.142047i
\(289\) −13.6304 4.42877i −0.801786 0.260516i
\(290\) 4.19062 3.03597i 0.246082 0.178279i
\(291\) 25.6882 + 13.0888i 1.50587 + 0.767278i
\(292\) 10.2482 16.6878i 0.599732 0.976578i
\(293\) 31.1781i 1.82144i −0.413022 0.910721i \(-0.635527\pi\)
0.413022 0.910721i \(-0.364473\pi\)
\(294\) −18.3132 6.76605i −1.06805 0.394604i
\(295\) −18.0320 5.10270i −1.04986 0.297091i
\(296\) −1.55915 0.721491i −0.0906239 0.0419358i
\(297\) 2.48945 0.394290i 0.144453 0.0228790i
\(298\) −2.96330 1.66139i −0.171659 0.0962417i
\(299\) −9.36517 + 9.36517i −0.541602 + 0.541602i
\(300\) −7.93195 24.6397i −0.457951 1.42257i
\(301\) 9.24077 + 9.24077i 0.532629 + 0.532629i
\(302\) 1.89445 0.533312i 0.109013 0.0306886i
\(303\) 5.41825 + 34.2095i 0.311270 + 1.96528i
\(304\) 17.1500 23.5103i 0.983618 1.34841i
\(305\) 3.30011 2.59689i 0.188964 0.148697i
\(306\) 3.57495 + 7.76443i 0.204366 + 0.443863i
\(307\) −14.2081 −0.810901 −0.405450 0.914117i \(-0.632885\pi\)
−0.405450 + 0.914117i \(0.632885\pi\)
\(308\) 3.49188 0.834798i 0.198968 0.0475670i
\(309\) −1.81158 + 3.55542i −0.103057 + 0.202261i
\(310\) −4.51746 2.30950i −0.256574 0.131171i
\(311\) −7.50793 + 23.1070i −0.425736 + 1.31028i 0.476552 + 0.879146i \(0.341886\pi\)
−0.902288 + 0.431134i \(0.858114\pi\)
\(312\) 13.1069 7.31555i 0.742032 0.414162i
\(313\) −3.57872 + 7.02363i −0.202281 + 0.396999i −0.969755 0.244081i \(-0.921514\pi\)
0.767474 + 0.641081i \(0.221514\pi\)
\(314\) −7.41985 26.3570i −0.418726 1.48741i
\(315\) 2.90864 10.2786i 0.163884 0.579134i
\(316\) 21.5128 + 1.71379i 1.21019 + 0.0964079i
\(317\) 8.51027 + 11.7134i 0.477984 + 0.657889i 0.978116 0.208060i \(-0.0667151\pi\)
−0.500132 + 0.865949i \(0.666715\pi\)
\(318\) 16.3226 + 24.4538i 0.915325 + 1.37130i
\(319\) 1.84081 1.33742i 0.103065 0.0748814i
\(320\) 4.79111 + 17.2350i 0.267831 + 0.963466i
\(321\) 42.3116 + 30.7412i 2.36160 + 1.71581i
\(322\) 0.468693 11.7855i 0.0261192 0.656778i
\(323\) −11.3021 3.67227i −0.628866 0.204331i
\(324\) 4.91634 11.8371i 0.273130 0.657615i
\(325\) 6.64375 + 7.80665i 0.368529 + 0.433035i
\(326\) −7.37681 + 4.92393i −0.408564 + 0.272711i
\(327\) 11.3568 5.78658i 0.628032 0.319998i
\(328\) −1.58949 + 3.43492i −0.0877651 + 0.189662i
\(329\) 4.61210 + 3.35089i 0.254273 + 0.184740i
\(330\) −3.50241 10.8293i −0.192801 0.596136i
\(331\) 24.6622 + 3.90610i 1.35555 + 0.214699i 0.791566 0.611084i \(-0.209266\pi\)
0.563989 + 0.825782i \(0.309266\pi\)
\(332\) −27.1239 11.2655i −1.48862 0.618273i
\(333\) −1.81832 + 1.32109i −0.0996433 + 0.0723951i
\(334\) 33.4347 3.94106i 1.82947 0.215645i
\(335\) 19.9632 21.5580i 1.09071 1.17784i
\(336\) −4.15506 + 12.7053i −0.226677 + 0.693129i
\(337\) 9.96369 19.5548i 0.542757 1.06522i −0.442918 0.896562i \(-0.646057\pi\)
0.985675 0.168658i \(-0.0539432\pi\)
\(338\) 7.70643 9.76595i 0.419174 0.531198i
\(339\) 0.108661 0.0553656i 0.00590166 0.00300704i
\(340\) 6.08138 4.04731i 0.329809 0.219496i
\(341\) −1.98771 1.01279i −0.107641 0.0548456i
\(342\) −15.9223 34.5816i −0.860979 1.86996i
\(343\) −11.2591 + 11.2591i −0.607932 + 0.607932i
\(344\) −19.4644 + 20.9961i −1.04945 + 1.13203i
\(345\) −37.3633 + 1.43505i −2.01157 + 0.0772603i
\(346\) 1.07546 27.0430i 0.0578173 1.45384i
\(347\) −18.0394 + 24.8290i −0.968404 + 1.33289i −0.0255543 + 0.999673i \(0.508135\pi\)
−0.942849 + 0.333220i \(0.891865\pi\)
\(348\) 0.656608 + 8.44620i 0.0351979 + 0.452764i
\(349\) 13.1048 13.1048i 0.701483 0.701483i −0.263246 0.964729i \(-0.584793\pi\)
0.964729 + 0.263246i \(0.0847930\pi\)
\(350\) −9.06335 1.09331i −0.484457 0.0584398i
\(351\) 3.71640i 0.198367i
\(352\) 2.11695 + 7.57538i 0.112834 + 0.403769i
\(353\) −31.5288 + 4.99367i −1.67811 + 0.265786i −0.921583 0.388180i \(-0.873104\pi\)
−0.756524 + 0.653966i \(0.773104\pi\)
\(354\) 22.5386 20.8145i 1.19791 1.10628i
\(355\) 19.4705 + 8.99682i 1.03339 + 0.477502i
\(356\) −7.05380 29.5054i −0.373851 1.56378i
\(357\) 5.45879 0.288910
\(358\) 4.57921 + 9.94558i 0.242019 + 0.525640i
\(359\) 12.8361 4.17071i 0.677465 0.220122i 0.0499798 0.998750i \(-0.484084\pi\)
0.627485 + 0.778629i \(0.284084\pi\)
\(360\) 22.7434 + 5.51591i 1.19868 + 0.290714i
\(361\) 32.2678 + 10.4844i 1.69830 + 0.551812i
\(362\) 1.70938 + 14.5018i 0.0898429 + 0.762199i
\(363\) 7.25229 + 22.3202i 0.380646 + 1.17151i
\(364\) −0.410303 5.27788i −0.0215057 0.276636i
\(365\) −17.2063 + 13.5398i −0.900621 + 0.708707i
\(366\) 0.804782 + 6.82752i 0.0420666 + 0.356880i
\(367\) 1.52764 9.64514i 0.0797422 0.503472i −0.915198 0.403004i \(-0.867966\pi\)
0.994940 0.100468i \(-0.0320340\pi\)
\(368\) 25.8400 + 0.0493948i 1.34700 + 0.00257488i
\(369\) 2.91044 + 4.00588i 0.151512 + 0.208538i
\(370\) 1.35635 + 1.36004i 0.0705131 + 0.0707050i
\(371\) 10.2414 1.62208i 0.531707 0.0842142i
\(372\) 7.08616 4.33310i 0.367400 0.224661i
\(373\) 16.3743 + 5.32034i 0.847830 + 0.275477i 0.700537 0.713616i \(-0.252944\pi\)
0.147293 + 0.989093i \(0.452944\pi\)
\(374\) 2.67157 1.78324i 0.138143 0.0922091i
\(375\) −1.21261 + 28.9148i −0.0626187 + 1.49315i
\(376\) −6.95368 + 10.3747i −0.358608 + 0.535033i
\(377\) −1.52313 2.98931i −0.0784450 0.153957i
\(378\) 2.24543 + 2.43142i 0.115492 + 0.125059i
\(379\) 2.81025 0.445101i 0.144353 0.0228633i −0.0838397 0.996479i \(-0.526718\pi\)
0.228193 + 0.973616i \(0.426718\pi\)
\(380\) −27.0855 + 18.0261i −1.38946 + 0.924720i
\(381\) −50.6130 8.01631i −2.59298 0.410688i
\(382\) −6.06590 + 4.04891i −0.310358 + 0.207160i
\(383\) 7.90674 + 1.25230i 0.404016 + 0.0639898i 0.355135 0.934815i \(-0.384435\pi\)
0.0488801 + 0.998805i \(0.484435\pi\)
\(384\) −28.1592 8.04350i −1.43699 0.410468i
\(385\) −3.98582 0.475313i −0.203136 0.0242242i
\(386\) 8.02021 14.3051i 0.408218 0.728110i
\(387\) 11.5745 + 35.6225i 0.588363 + 1.81079i
\(388\) 14.4508 + 16.9526i 0.733631 + 0.860635i
\(389\) −29.9683 + 15.2696i −1.51945 + 0.774200i −0.996920 0.0784193i \(-0.975013\pi\)
−0.522533 + 0.852619i \(0.675013\pi\)
\(390\) −16.5789 + 2.60276i −0.839507 + 0.131796i
\(391\) −3.26081 10.0357i −0.164906 0.507528i
\(392\) −11.0623 10.2553i −0.558728 0.517971i
\(393\) 23.6604 + 23.6604i 1.19351 + 1.19351i
\(394\) −34.5896 12.7796i −1.74260 0.643825i
\(395\) −21.9030 10.1208i −1.10206 0.509234i
\(396\) 10.0036 + 2.41176i 0.502699 + 0.121196i
\(397\) −8.50496 + 11.7061i −0.426852 + 0.587511i −0.967227 0.253913i \(-0.918282\pi\)
0.540375 + 0.841424i \(0.318282\pi\)
\(398\) −2.34658 8.33559i −0.117623 0.417825i
\(399\) −24.3126 −1.21715
\(400\) 1.64241 19.9324i 0.0821206 0.996622i
\(401\) 14.0042 0.699338 0.349669 0.936873i \(-0.386294\pi\)
0.349669 + 0.936873i \(0.386294\pi\)
\(402\) 13.0344 + 46.3010i 0.650094 + 2.30928i
\(403\) −1.93344 + 2.66115i −0.0963113 + 0.132561i
\(404\) −6.27220 + 26.0160i −0.312054 + 1.29435i
\(405\) −9.73670 + 10.5145i −0.483821 + 0.522470i
\(406\) 2.80262 + 1.03546i 0.139091 + 0.0513891i
\(407\) 0.597200 + 0.597200i 0.0296021 + 0.0296021i
\(408\) 0.452381 + 11.9506i 0.0223962 + 0.591643i
\(409\) −2.17527 6.69478i −0.107560 0.331036i 0.882763 0.469819i \(-0.155681\pi\)
−0.990323 + 0.138783i \(0.955681\pi\)
\(410\) 2.99626 2.98812i 0.147975 0.147573i
\(411\) −24.8267 + 12.6498i −1.22461 + 0.623969i
\(412\) −2.34635 + 2.00010i −0.115597 + 0.0985378i
\(413\) −3.34356 10.2904i −0.164526 0.506359i
\(414\) 16.5321 29.4871i 0.812508 1.44921i
\(415\) 24.0933 + 22.3110i 1.18269 + 1.09521i
\(416\) 11.5205 1.33564i 0.564840 0.0654851i
\(417\) −5.64975 0.894832i −0.276669 0.0438201i
\(418\) −11.8988 + 7.94228i −0.581987 + 0.388469i
\(419\) 33.3870 + 5.28798i 1.63106 + 0.258335i 0.903778 0.428002i \(-0.140782\pi\)
0.727284 + 0.686337i \(0.240782\pi\)
\(420\) 9.27405 11.7197i 0.452527 0.571864i
\(421\) 1.94531 0.308107i 0.0948086 0.0150162i −0.108850 0.994058i \(-0.534717\pi\)
0.203658 + 0.979042i \(0.434717\pi\)
\(422\) 3.88930 + 4.21146i 0.189328 + 0.205011i
\(423\) 7.41793 + 14.5585i 0.360672 + 0.707859i
\(424\) 4.39985 + 22.2865i 0.213675 + 1.08233i
\(425\) −7.94499 + 1.89262i −0.385388 + 0.0918058i
\(426\) −29.2052 + 19.4941i −1.41500 + 0.944494i
\(427\) 2.30592 + 0.749240i 0.111591 + 0.0362583i
\(428\) 21.0810 + 34.4750i 1.01899 + 1.66641i
\(429\) −7.28821 + 1.15434i −0.351878 + 0.0557320i
\(430\) 28.5406 14.4934i 1.37635 0.698932i
\(431\) −7.17254 9.87215i −0.345489 0.475525i 0.600546 0.799591i \(-0.294950\pi\)
−0.946035 + 0.324066i \(0.894950\pi\)
\(432\) −5.13688 + 5.11728i −0.247148 + 0.246205i
\(433\) −3.38233 + 21.3552i −0.162545 + 1.02627i 0.762660 + 0.646799i \(0.223893\pi\)
−0.925205 + 0.379467i \(0.876107\pi\)
\(434\) −0.342917 2.90920i −0.0164606 0.139646i
\(435\) 2.57901 9.11375i 0.123654 0.436971i
\(436\) 9.81860 0.763299i 0.470226 0.0365554i
\(437\) 14.5231 + 44.6976i 0.694736 + 2.13818i
\(438\) −4.19602 35.5978i −0.200494 1.70093i
\(439\) 18.1228 + 5.88847i 0.864956 + 0.281041i 0.707697 0.706516i \(-0.249734\pi\)
0.157259 + 0.987557i \(0.449734\pi\)
\(440\) 0.710261 8.76529i 0.0338604 0.417869i
\(441\) −18.7685 + 6.09827i −0.893740 + 0.290394i
\(442\) −1.98076 4.30200i −0.0942149 0.204625i
\(443\) −14.5864 −0.693019 −0.346510 0.938046i \(-0.612633\pi\)
−0.346510 + 0.938046i \(0.612633\pi\)
\(444\) −3.05833 + 0.731150i −0.145142 + 0.0346988i
\(445\) −4.01626 + 33.6790i −0.190389 + 1.59654i
\(446\) 14.7214 13.5953i 0.697081 0.643757i
\(447\) −6.14159 + 0.972732i −0.290487 + 0.0460086i
\(448\) −6.73022 + 7.83447i −0.317973 + 0.370144i
\(449\) 7.85152i 0.370536i 0.982688 + 0.185268i \(0.0593153\pi\)
−0.982688 + 0.185268i \(0.940685\pi\)
\(450\) −21.7228 14.5852i −1.02402 0.687552i
\(451\) 1.31567 1.31567i 0.0619525 0.0619525i
\(452\) 0.0939437 0.00730319i 0.00441874 0.000343513i
\(453\) 2.11735 2.91429i 0.0994820 0.136925i
\(454\) 0.0479016 1.20450i 0.00224814 0.0565302i
\(455\) −1.61158 + 5.69502i −0.0755520 + 0.266987i
\(456\) −2.01484 53.2261i −0.0943535 2.49254i
\(457\) −7.57441 + 7.57441i −0.354316 + 0.354316i −0.861713 0.507397i \(-0.830608\pi\)
0.507397 + 0.861713i \(0.330608\pi\)
\(458\) −8.39524 18.2336i −0.392284 0.852000i
\(459\) 2.63825 + 1.34425i 0.123143 + 0.0627444i
\(460\) −27.0860 10.0491i −1.26289 0.468543i
\(461\) 26.7158 13.6124i 1.24428 0.633991i 0.297144 0.954833i \(-0.403966\pi\)
0.947133 + 0.320842i \(0.103966\pi\)
\(462\) 4.07080 5.15872i 0.189391 0.240005i
\(463\) −3.02333 + 5.93361i −0.140506 + 0.275758i −0.950527 0.310643i \(-0.899456\pi\)
0.810021 + 0.586401i \(0.199456\pi\)
\(464\) −2.03461 + 6.22140i −0.0944545 + 0.288821i
\(465\) −9.10953 + 1.80366i −0.422445 + 0.0836427i
\(466\) −11.9247 + 1.40561i −0.552403 + 0.0651135i
\(467\) 8.72871 6.34178i 0.403917 0.293463i −0.367218 0.930135i \(-0.619690\pi\)
0.771134 + 0.636672i \(0.219690\pi\)
\(468\) 5.81973 14.0122i 0.269017 0.647713i
\(469\) 16.7552 + 2.65377i 0.773685 + 0.122540i
\(470\) 11.3080 8.19229i 0.521599 0.377882i
\(471\) −40.5459 29.4583i −1.86826 1.35737i
\(472\) 22.2511 8.17265i 1.02419 0.376177i
\(473\) 12.5407 6.38979i 0.576621 0.293803i
\(474\) 32.8540 21.9296i 1.50903 1.00726i
\(475\) 35.3858 8.42946i 1.62361 0.386770i
\(476\) 3.89514 + 1.61778i 0.178533 + 0.0741509i
\(477\) 28.2645 + 9.18369i 1.29414 + 0.420492i
\(478\) −0.736324 + 18.5151i −0.0336787 + 0.846863i
\(479\) −10.2175 7.42343i −0.466848 0.339185i 0.329364 0.944203i \(-0.393166\pi\)
−0.796212 + 0.605018i \(0.793166\pi\)
\(480\) 26.4259 + 19.3319i 1.20617 + 0.882375i
\(481\) 1.00747 0.731968i 0.0459366 0.0333749i
\(482\) 1.34764 + 2.01897i 0.0613831 + 0.0919615i
\(483\) −12.6894 17.4654i −0.577387 0.794705i
\(484\) −1.44000 + 18.0760i −0.0654544 + 0.821636i
\(485\) −8.59953 23.3734i −0.390485 1.06133i
\(486\) −8.44129 29.9854i −0.382904 1.36016i
\(487\) 3.96521 7.78217i 0.179681 0.352644i −0.783546 0.621334i \(-0.786591\pi\)
0.963227 + 0.268691i \(0.0865909\pi\)
\(488\) −1.44917 + 5.11031i −0.0656008 + 0.231333i
\(489\) −5.01647 + 15.4391i −0.226852 + 0.698180i
\(490\) 7.63616 + 15.0373i 0.344967 + 0.679315i
\(491\) 6.06407 11.9014i 0.273668 0.537103i −0.712738 0.701430i \(-0.752545\pi\)
0.986406 + 0.164327i \(0.0525453\pi\)
\(492\) 1.61077 + 6.73771i 0.0726192 + 0.303759i
\(493\) 2.67301 0.120387
\(494\) 8.82199 + 19.1604i 0.396920 + 0.862069i
\(495\) −9.56025 6.40014i −0.429701 0.287665i
\(496\) 6.34052 0.991820i 0.284698 0.0445340i
\(497\) 1.93726 + 12.2314i 0.0868979 + 0.548651i
\(498\) −51.7463 + 14.5673i −2.31881 + 0.652776i
\(499\) 14.4763 + 14.4763i 0.648048 + 0.648048i 0.952521 0.304473i \(-0.0984803\pi\)
−0.304473 + 0.952521i \(0.598480\pi\)
\(500\) −9.43453 + 20.2729i −0.421925 + 0.906631i
\(501\) 43.5723 43.5723i 1.94667 1.94667i
\(502\) 11.8787 + 6.65986i 0.530173 + 0.297244i
\(503\) −34.2518 + 5.42495i −1.52721 + 0.241887i −0.862825 0.505503i \(-0.831307\pi\)
−0.664386 + 0.747389i \(0.731307\pi\)
\(504\) 4.65858 + 12.6836i 0.207510 + 0.564972i
\(505\) 16.6447 24.8631i 0.740679 1.10639i
\(506\) −11.9157 4.40242i −0.529720 0.195712i
\(507\) 22.7701i 1.01126i
\(508\) −33.7393 20.7199i −1.49694 0.919295i
\(509\) 4.24027 + 2.16053i 0.187947 + 0.0957636i 0.545432 0.838155i \(-0.316366\pi\)
−0.357485 + 0.933919i \(0.616366\pi\)
\(510\) 4.14906 12.7107i 0.183724 0.562839i
\(511\) −12.0228 3.90643i −0.531856 0.172810i
\(512\) −17.7093 14.0848i −0.782647 0.622466i
\(513\) −11.7503 5.98710i −0.518791 0.264337i
\(514\) 18.3178 + 10.2700i 0.807964 + 0.452989i
\(515\) 3.23505 1.19024i 0.142553 0.0524481i
\(516\) −4.16145 + 52.2379i −0.183198 + 2.29964i
\(517\) 4.96724 3.60891i 0.218459 0.158720i
\(518\) −0.216876 + 1.08759i −0.00952896 + 0.0477860i
\(519\) −29.1171 40.0762i −1.27810 1.75915i
\(520\) −12.6013 3.05617i −0.552604 0.134022i
\(521\) −4.30592 + 5.92659i −0.188646 + 0.259649i −0.892855 0.450343i \(-0.851302\pi\)
0.704210 + 0.709992i \(0.251302\pi\)
\(522\) 5.80980 + 6.29104i 0.254288 + 0.275351i
\(523\) −8.58030 + 26.4075i −0.375190 + 1.15472i 0.568160 + 0.822918i \(0.307656\pi\)
−0.943350 + 0.331799i \(0.892344\pi\)
\(524\) 9.87090 + 23.8950i 0.431212 + 1.04386i
\(525\) −14.2624 + 8.70546i −0.622461 + 0.379938i
\(526\) 8.11461 + 1.61813i 0.353814 + 0.0705537i
\(527\) −1.18979 2.33509i −0.0518280 0.101718i
\(528\) 11.6310 + 8.48445i 0.506175 + 0.369238i
\(529\) −11.0103 + 15.1544i −0.478709 + 0.658887i
\(530\) 4.00720 25.0798i 0.174062 1.08940i
\(531\) 4.85126 30.6296i 0.210527 1.32921i
\(532\) −17.3484 7.20536i −0.752147 0.312392i
\(533\) −1.61257 2.21952i −0.0698484 0.0961380i
\(534\) −43.5897 34.3971i −1.88631 1.48851i
\(535\) −8.77502 44.3190i −0.379377 1.91608i
\(536\) −4.42119 + 36.9011i −0.190966 + 1.59389i
\(537\) 17.8564 + 9.09827i 0.770558 + 0.392619i
\(538\) −1.43225 12.1508i −0.0617487 0.523857i
\(539\) 3.36661 + 6.60734i 0.145010 + 0.284598i
\(540\) 7.36821 3.38039i 0.317077 0.145469i
\(541\) 13.3796 26.2589i 0.575233 1.12896i −0.401771 0.915740i \(-0.631605\pi\)
0.977004 0.213219i \(-0.0683948\pi\)
\(542\) 13.3530 36.1416i 0.573559 1.55241i
\(543\) 18.8989 + 18.8989i 0.811028 + 0.811028i
\(544\) −3.21891 + 8.66145i −0.138010 + 0.371357i
\(545\) −10.5946 2.99807i −0.453824 0.128423i
\(546\) −6.57381 7.11833i −0.281333 0.304636i
\(547\) 1.73668 + 1.26177i 0.0742550 + 0.0539494i 0.624293 0.781190i \(-0.285387\pi\)
−0.550038 + 0.835139i \(0.685387\pi\)
\(548\) −21.4641 + 1.66862i −0.916900 + 0.0712799i
\(549\) 4.91381 + 4.91381i 0.209716 + 0.209716i
\(550\) −4.13626 + 8.91964i −0.176371 + 0.380335i
\(551\) −11.9052 −0.507179
\(552\) 37.1844 29.2275i 1.58267 1.24400i
\(553\) −2.17929 13.7595i −0.0926727 0.585112i
\(554\) −0.748624 + 18.8244i −0.0318060 + 0.799773i
\(555\) 3.49094 + 0.416299i 0.148182 + 0.0176709i
\(556\) −3.76620 2.31288i −0.159722 0.0980882i
\(557\) 13.4749i 0.570948i 0.958386 + 0.285474i \(0.0921510\pi\)
−0.958386 + 0.285474i \(0.907849\pi\)
\(558\) 2.90972 7.87554i 0.123178 0.333398i
\(559\) −6.41300 19.7372i −0.271241 0.834794i
\(560\) 10.0908 5.61417i 0.426415 0.237242i
\(561\) 1.81675 5.59139i 0.0767033 0.236068i
\(562\) −16.8732 13.3148i −0.711751 0.561651i
\(563\) 30.3770 9.87009i 1.28024 0.415975i 0.411574 0.911376i \(-0.364979\pi\)
0.868664 + 0.495402i \(0.164979\pi\)
\(564\) 1.77180 + 22.7913i 0.0746060 + 0.959686i
\(565\) −0.101369 0.0286853i −0.00426461 0.00120680i
\(566\) 2.78609 3.53067i 0.117108 0.148405i
\(567\) −8.17207 1.29433i −0.343195 0.0543567i
\(568\) −26.6168 + 5.25476i −1.11682 + 0.220485i
\(569\) 11.2855 8.19939i 0.473112 0.343736i −0.325541 0.945528i \(-0.605546\pi\)
0.798653 + 0.601792i \(0.205546\pi\)
\(570\) −18.4793 + 56.6116i −0.774012 + 2.37120i
\(571\) 0.864933 + 5.46097i 0.0361963 + 0.228535i 0.999154 0.0411167i \(-0.0130915\pi\)
−0.962958 + 0.269651i \(0.913092\pi\)
\(572\) −5.54263 1.33627i −0.231749 0.0558723i
\(573\) −4.12500 + 12.6955i −0.172325 + 0.530360i
\(574\) 2.39603 + 0.477791i 0.100009 + 0.0199426i
\(575\) 24.5242 + 21.0205i 1.02273 + 0.876615i
\(576\) −27.3814 + 11.2499i −1.14089 + 0.468744i
\(577\) −33.4209 + 17.0288i −1.39133 + 0.708918i −0.979331 0.202266i \(-0.935170\pi\)
−0.412000 + 0.911184i \(0.635170\pi\)
\(578\) −20.2522 0.805406i −0.842382 0.0335005i
\(579\) −4.69578 29.6480i −0.195150 1.23213i
\(580\) 4.54124 5.73882i 0.188565 0.238292i
\(581\) −2.96587 + 18.7258i −0.123045 + 0.776876i
\(582\) 39.9853 + 7.97343i 1.65744 + 0.330509i
\(583\) 1.74698 11.0300i 0.0723527 0.456817i
\(584\) 7.55576 26.6444i 0.312660 1.10255i
\(585\) −11.5259 + 12.4466i −0.476536 + 0.514603i
\(586\) −11.9482 42.4427i −0.493575 1.75329i
\(587\) 21.6942 7.04886i 0.895414 0.290938i 0.175071 0.984556i \(-0.443984\pi\)
0.720343 + 0.693618i \(0.243984\pi\)
\(588\) −27.5227 2.19256i −1.13502 0.0904195i
\(589\) 5.29914 + 10.4001i 0.218347 + 0.428531i
\(590\) −26.5024 0.0360114i −1.09109 0.00148257i
\(591\) −64.1902 + 20.8567i −2.64043 + 0.857928i
\(592\) −2.39897 0.384661i −0.0985970 0.0158095i
\(593\) 31.7266 31.7266i 1.30286 1.30286i 0.376399 0.926458i \(-0.377162\pi\)
0.926458 0.376399i \(-0.122838\pi\)
\(594\) 3.23779 1.49076i 0.132848 0.0611668i
\(595\) −3.45993 3.20398i −0.141843 0.131351i
\(596\) −4.67063 1.12604i −0.191316 0.0461245i
\(597\) −12.8229 9.31639i −0.524807 0.381295i
\(598\) −9.15985 + 16.3378i −0.374574 + 0.668101i
\(599\) 19.8273i 0.810120i −0.914290 0.405060i \(-0.867251\pi\)
0.914290 0.405060i \(-0.132749\pi\)
\(600\) −20.2403 30.5023i −0.826306 1.24525i
\(601\) 6.87670i 0.280507i −0.990116 0.140253i \(-0.955208\pi\)
0.990116 0.140253i \(-0.0447917\pi\)
\(602\) 16.1208 + 9.03818i 0.657033 + 0.368369i
\(603\) 39.3354 + 28.5788i 1.60186 + 1.16382i
\(604\) 2.37453 1.45199i 0.0966183 0.0590808i
\(605\) 8.50395 18.4038i 0.345735 0.748223i
\(606\) 20.4858 + 44.4930i 0.832177 + 1.80740i
\(607\) 24.1509 24.1509i 0.980253 0.980253i −0.0195554 0.999809i \(-0.506225\pi\)
0.999809 + 0.0195554i \(0.00622509\pi\)
\(608\) 14.3366 38.5768i 0.581424 1.56450i
\(609\) 5.20100 1.68991i 0.210755 0.0684785i
\(610\) 3.49726 4.79983i 0.141600 0.194339i
\(611\) −4.11002 8.06636i −0.166273 0.326330i
\(612\) 7.84210 + 9.19971i 0.316998 + 0.371876i
\(613\) 15.8155 5.13877i 0.638782 0.207553i 0.0283208 0.999599i \(-0.490984\pi\)
0.610461 + 0.792046i \(0.290984\pi\)
\(614\) −19.3415 + 5.44490i −0.780561 + 0.219738i
\(615\) 0.917134 7.69077i 0.0369824 0.310122i
\(616\) 4.43359 2.47458i 0.178634 0.0997039i
\(617\) −0.806754 + 5.09364i −0.0324787 + 0.205062i −0.998591 0.0530581i \(-0.983103\pi\)
0.966113 + 0.258120i \(0.0831032\pi\)
\(618\) −1.10358 + 5.53424i −0.0443925 + 0.222620i
\(619\) −5.76275 + 36.3846i −0.231624 + 1.46242i 0.548161 + 0.836373i \(0.315328\pi\)
−0.779786 + 0.626047i \(0.784672\pi\)
\(620\) −7.03467 1.41272i −0.282519 0.0567362i
\(621\) −1.83186 11.5659i −0.0735100 0.464124i
\(622\) −1.36537 + 34.3328i −0.0547465 + 1.37662i
\(623\) −17.4487 + 8.89054i −0.699066 + 0.356192i
\(624\) 15.0389 14.9815i 0.602039 0.599742i
\(625\) 17.7398 17.6153i 0.709594 0.704611i
\(626\) −2.18009 + 10.9327i −0.0871338 + 0.436960i
\(627\) −8.09154 + 24.9032i −0.323145 + 0.994538i
\(628\) −20.2013 33.0363i −0.806119 1.31829i
\(629\) 0.155209 + 0.979953i 0.00618860 + 0.0390733i
\(630\) 0.0205272 15.1069i 0.000817825 0.601875i
\(631\) −25.3507 + 18.4183i −1.00919 + 0.733223i −0.964040 0.265757i \(-0.914378\pi\)
−0.0451544 + 0.998980i \(0.514378\pi\)
\(632\) 29.9422 5.91125i 1.19104 0.235137i
\(633\) 10.3635 + 1.64142i 0.411912 + 0.0652404i
\(634\) 16.0739 + 12.6841i 0.638375 + 0.503750i
\(635\) 27.3748 + 34.7877i 1.08634 + 1.38051i
\(636\) 31.5912 + 27.0337i 1.25267 + 1.07196i
\(637\) 10.3990 3.37884i 0.412023 0.133874i
\(638\) 1.99336 2.52608i 0.0789178 0.100008i
\(639\) −10.9681 + 33.7564i −0.433892 + 1.33538i
\(640\) 13.1270 + 21.6259i 0.518891 + 0.854841i
\(641\) −7.73445 23.8042i −0.305492 0.940209i −0.979493 0.201478i \(-0.935425\pi\)
0.674001 0.738731i \(-0.264575\pi\)
\(642\) 69.3796 + 25.6331i 2.73819 + 1.01166i
\(643\) 7.21609i 0.284575i 0.989825 + 0.142287i \(0.0454457\pi\)
−0.989825 + 0.142287i \(0.954554\pi\)
\(644\) −3.87844 16.2232i −0.152832 0.639283i
\(645\) 24.5756 53.1853i 0.967663 2.09417i
\(646\) −16.7929 0.667831i −0.660706 0.0262755i
\(647\) −0.266775 1.68435i −0.0104880 0.0662187i 0.981889 0.189456i \(-0.0606724\pi\)
−0.992377 + 0.123237i \(0.960672\pi\)
\(648\) 2.15636 17.9979i 0.0847097 0.707023i
\(649\) −11.6532 −0.457427
\(650\) 12.0358 + 8.08114i 0.472085 + 0.316969i
\(651\) −3.79129 3.79129i −0.148592 0.148592i
\(652\) −8.15509 + 9.52992i −0.319378 + 0.373221i
\(653\) −23.1071 16.7883i −0.904250 0.656976i 0.0353040 0.999377i \(-0.488760\pi\)
−0.939554 + 0.342400i \(0.888760\pi\)
\(654\) 13.2425 12.2295i 0.517821 0.478210i
\(655\) −1.10937 28.8839i −0.0433466 1.12859i
\(656\) −0.847435 + 5.28509i −0.0330868 + 0.206348i
\(657\) −25.6199 25.6199i −0.999529 0.999529i
\(658\) 7.56259 + 2.79410i 0.294821 + 0.108925i
\(659\) 6.47166 12.7013i 0.252100 0.494774i −0.729925 0.683528i \(-0.760445\pi\)
0.982024 + 0.188754i \(0.0604448\pi\)
\(660\) −8.91789 13.3998i −0.347129 0.521586i
\(661\) −3.81541 7.48816i −0.148402 0.291256i 0.804824 0.593513i \(-0.202260\pi\)
−0.953226 + 0.302258i \(0.902260\pi\)
\(662\) 35.0695 4.13376i 1.36302 0.160663i
\(663\) −7.72383 3.93549i −0.299969 0.152842i
\(664\) −41.2410 4.94115i −1.60046 0.191754i
\(665\) 15.4100 + 14.2701i 0.597575 + 0.553369i
\(666\) −1.96901 + 2.49522i −0.0762975 + 0.0966878i
\(667\) −6.21363 8.55233i −0.240593 0.331147i
\(668\) 44.0044 18.1780i 1.70258 0.703326i
\(669\) 5.73768 36.2263i 0.221831 1.40059i
\(670\) 18.9144 36.9972i 0.730727 1.42933i
\(671\) 1.53488 2.11258i 0.0592533 0.0815552i
\(672\) −0.787317 + 18.8880i −0.0303714 + 0.728620i
\(673\) −8.54087 16.7624i −0.329226 0.646143i 0.665759 0.746167i \(-0.268108\pi\)
−0.994985 + 0.100024i \(0.968108\pi\)
\(674\) 6.06968 30.4383i 0.233795 1.17244i
\(675\) −9.03679 + 0.695194i −0.347826 + 0.0267580i
\(676\) 6.74821 16.2477i 0.259547 0.624911i
\(677\) −2.54814 + 7.84238i −0.0979331 + 0.301407i −0.988007 0.154409i \(-0.950653\pi\)
0.890074 + 0.455816i \(0.150653\pi\)
\(678\) 0.126703 0.117011i 0.00486600 0.00449377i
\(679\) 8.45211 11.6333i 0.324362 0.446446i
\(680\) 6.72755 7.84014i 0.257990 0.300655i
\(681\) −1.29689 1.78501i −0.0496968 0.0684018i
\(682\) −3.09400 0.616971i −0.118475 0.0236251i
\(683\) 16.0964 11.6947i 0.615913 0.447487i −0.235579 0.971855i \(-0.575698\pi\)
0.851492 + 0.524368i \(0.175698\pi\)
\(684\) −34.9275 40.9741i −1.33549 1.56669i
\(685\) 23.1605 + 6.55397i 0.884918 + 0.250414i
\(686\) −11.0122 + 19.6417i −0.420448 + 0.749924i
\(687\) −32.7367 16.6802i −1.24898 0.636389i
\(688\) −18.4508 + 36.0412i −0.703429 + 1.37406i
\(689\) −15.6604 5.08836i −0.596612 0.193851i
\(690\) −50.3128 + 16.2721i −1.91537 + 0.619467i
\(691\) −8.72529 4.44576i −0.331926 0.169125i 0.280083 0.959976i \(-0.409638\pi\)
−0.612008 + 0.790851i \(0.709638\pi\)
\(692\) −8.89949 37.2257i −0.338308 1.41511i
\(693\) 6.64255i 0.252329i
\(694\) −15.0419 + 40.7129i −0.570983 + 1.54544i
\(695\) 3.05575 + 3.88323i 0.115911 + 0.147299i
\(696\) 4.13063 + 11.2462i 0.156571 + 0.426286i
\(697\) 2.15890 0.341937i 0.0817743 0.0129518i
\(698\) 12.8175 22.8616i 0.485149 0.865325i
\(699\) −15.5404 + 15.5404i −0.587791 + 0.587791i
\(700\) −12.7569 + 1.98498i −0.482167 + 0.0750251i
\(701\) −10.8761 10.8761i −0.410786 0.410786i 0.471226 0.882012i \(-0.343811\pi\)
−0.882012 + 0.471226i \(0.843811\pi\)
\(702\) −1.42421 5.05914i −0.0537535 0.190945i
\(703\) −0.691279 4.36456i −0.0260721 0.164613i
\(704\) 5.78488 + 9.50110i 0.218026 + 0.358086i
\(705\) 6.95922 24.5926i 0.262099 0.926211i
\(706\) −41.0064 + 18.8805i −1.54330 + 0.710576i
\(707\) 17.2751 0.649697
\(708\) 22.7052 36.9721i 0.853313 1.38950i
\(709\) 12.2925 24.1253i 0.461653 0.906045i −0.536418 0.843953i \(-0.680223\pi\)
0.998070 0.0620919i \(-0.0197772\pi\)
\(710\) 29.9530 + 4.78581i 1.12411 + 0.179608i
\(711\) 12.3384 37.9737i 0.462726 1.42413i
\(712\) −20.9095 37.4625i −0.783618 1.40397i
\(713\) −4.70538 + 9.23484i −0.176218 + 0.345847i
\(714\) 7.43105 2.09194i 0.278100 0.0782889i
\(715\) 5.29700 + 3.54609i 0.198096 + 0.132616i
\(716\) 10.0451 + 11.7841i 0.375402 + 0.440391i
\(717\) 19.9352 + 27.4385i 0.744494 + 1.02471i
\(718\) 15.8755 10.5967i 0.592469 0.395466i
\(719\) 11.1047 8.06802i 0.414135 0.300886i −0.361139 0.932512i \(-0.617612\pi\)
0.775274 + 0.631626i \(0.217612\pi\)
\(720\) 33.0744 1.20700i 1.23261 0.0449824i
\(721\) 1.61014 + 1.16983i 0.0599646 + 0.0435668i
\(722\) 47.9440 + 1.90667i 1.78429 + 0.0709590i
\(723\) 4.22554 + 1.37296i 0.157150 + 0.0510610i
\(724\) 7.88443 + 19.0863i 0.293023 + 0.709336i
\(725\) −6.98388 + 4.26282i −0.259375 + 0.158317i
\(726\) 18.4262 + 27.6053i 0.683861 + 1.02453i
\(727\) −33.5769 + 17.1083i −1.24530 + 0.634511i −0.947389 0.320084i \(-0.896289\pi\)
−0.297908 + 0.954594i \(0.596289\pi\)
\(728\) −2.58116 7.02754i −0.0956640 0.260458i
\(729\) −30.5732 22.2128i −1.13234 0.822695i
\(730\) −18.2342 + 25.0257i −0.674878 + 0.926241i
\(731\) 16.3309 + 2.58656i 0.604021 + 0.0956675i
\(732\) 3.71202 + 8.98590i 0.137200 + 0.332128i
\(733\) −41.3651 + 30.0535i −1.52785 + 1.11005i −0.570436 + 0.821342i \(0.693226\pi\)
−0.957417 + 0.288708i \(0.906774\pi\)
\(734\) −1.61667 13.7154i −0.0596726 0.506243i
\(735\) 28.0219 + 12.9482i 1.03360 + 0.477603i
\(736\) 35.1950 9.83529i 1.29730 0.362533i
\(737\) 8.29457 16.2790i 0.305535 0.599645i
\(738\) 5.49714 + 4.33786i 0.202352 + 0.159679i
\(739\) −20.3184 + 10.3528i −0.747425 + 0.380832i −0.785840 0.618430i \(-0.787769\pi\)
0.0384149 + 0.999262i \(0.487769\pi\)
\(740\) 2.36760 + 1.33164i 0.0870346 + 0.0489519i
\(741\) 34.4008 + 17.5281i 1.26374 + 0.643910i
\(742\) 13.3200 6.13289i 0.488993 0.225146i
\(743\) −17.8706 + 17.8706i −0.655608 + 0.655608i −0.954338 0.298730i \(-0.903437\pi\)
0.298730 + 0.954338i \(0.403437\pi\)
\(744\) 7.98585 8.61424i 0.292776 0.315813i
\(745\) 4.46364 + 2.98820i 0.163535 + 0.109479i
\(746\) 24.3292 + 0.967543i 0.890757 + 0.0354243i
\(747\) −31.9399 + 43.9615i −1.16862 + 1.60847i
\(748\) 2.95343 3.45133i 0.107988 0.126193i
\(749\) 18.4451 18.4451i 0.673969 0.673969i
\(750\) 9.43013 + 39.8264i 0.344340 + 1.45426i
\(751\) 15.1555i 0.553033i 0.961009 + 0.276516i \(0.0891800\pi\)
−0.961009 + 0.276516i \(0.910820\pi\)
\(752\) −5.49021 + 16.7879i −0.200207 + 0.612191i
\(753\) 24.6192 3.89930i 0.897173 0.142098i
\(754\) −3.21901 3.48564i −0.117229 0.126940i
\(755\) −3.05255 + 0.604395i −0.111094 + 0.0219962i
\(756\) 3.98848 + 2.44939i 0.145060 + 0.0890836i
\(757\) −18.2171 −0.662113 −0.331056 0.943611i \(-0.607405\pi\)
−0.331056 + 0.943611i \(0.607405\pi\)
\(758\) 3.65503 1.68287i 0.132757 0.0611247i
\(759\) −22.1129 + 7.18490i −0.802646 + 0.260795i
\(760\) −29.9635 + 34.9188i −1.08689 + 1.26664i
\(761\) 3.25412 + 1.05733i 0.117962 + 0.0383281i 0.367403 0.930062i \(-0.380247\pi\)
−0.249441 + 0.968390i \(0.580247\pi\)
\(762\) −71.9715 + 8.48351i −2.60725 + 0.307325i
\(763\) −1.96450 6.04610i −0.0711196 0.218884i
\(764\) −6.70587 + 7.83639i −0.242610 + 0.283510i
\(765\) −4.66675 12.6842i −0.168727 0.458597i
\(766\) 11.2434 1.32529i 0.406239 0.0478847i
\(767\) −2.68791 + 16.9708i −0.0970549 + 0.612781i
\(768\) −41.4156 0.158337i −1.49446 0.00571351i
\(769\) 19.0903 + 26.2756i 0.688416 + 0.947523i 0.999996 0.00269693i \(-0.000858460\pi\)
−0.311581 + 0.950220i \(0.600858\pi\)
\(770\) −5.60805 + 0.880418i −0.202100 + 0.0317281i
\(771\) 37.9645 6.01299i 1.36726 0.216553i
\(772\) 5.43587 22.5471i 0.195641 0.811486i
\(773\) 32.8376 + 10.6696i 1.18109 + <