Properties

Label 144.2.x.e.85.7
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.7
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.751042 + 1.19831i) q^{2} +(-1.64464 - 0.543291i) q^{3} +(-0.871873 - 1.79995i) q^{4} +(-1.60558 + 0.430214i) q^{5} +(1.88622 - 1.56275i) q^{6} +(3.62762 - 2.09441i) q^{7} +(2.81171 + 0.307071i) q^{8} +(2.40967 + 1.78703i) q^{9} +O(q^{10})\) \(q+(-0.751042 + 1.19831i) q^{2} +(-1.64464 - 0.543291i) q^{3} +(-0.871873 - 1.79995i) q^{4} +(-1.60558 + 0.430214i) q^{5} +(1.88622 - 1.56275i) q^{6} +(3.62762 - 2.09441i) q^{7} +(2.81171 + 0.307071i) q^{8} +(2.40967 + 1.78703i) q^{9} +(0.690330 - 2.24708i) q^{10} +(1.24125 - 4.63241i) q^{11} +(0.456016 + 3.43396i) q^{12} +(-0.879738 - 3.28323i) q^{13} +(-0.214754 + 5.91998i) q^{14} +(2.87433 + 0.164751i) q^{15} +(-2.47968 + 3.13866i) q^{16} -2.14142 q^{17} +(-3.95118 + 1.54538i) q^{18} +(1.03156 - 1.03156i) q^{19} +(2.17423 + 2.51488i) q^{20} +(-7.10399 + 1.47369i) q^{21} +(4.61882 + 4.96653i) q^{22} +(-0.405884 - 0.234337i) q^{23} +(-4.45742 - 2.03260i) q^{24} +(-1.93733 + 1.11852i) q^{25} +(4.59503 + 1.41164i) q^{26} +(-2.99216 - 4.24818i) q^{27} +(-6.93266 - 4.70349i) q^{28} +(6.55186 + 1.75557i) q^{29} +(-2.35616 + 3.32059i) q^{30} +(3.18054 - 5.50886i) q^{31} +(-1.89874 - 5.32868i) q^{32} +(-4.55816 + 6.94428i) q^{33} +(1.60829 - 2.56607i) q^{34} +(-4.92339 + 4.92339i) q^{35} +(1.11565 - 5.89536i) q^{36} +(-0.728237 - 0.728237i) q^{37} +(0.461380 + 2.01087i) q^{38} +(-0.336896 + 5.87767i) q^{39} +(-4.64653 + 0.716609i) q^{40} +(2.52351 + 1.45695i) q^{41} +(3.56946 - 9.61955i) q^{42} +(-2.84802 + 10.6289i) q^{43} +(-9.42035 + 1.80468i) q^{44} +(-4.63772 - 1.83255i) q^{45} +(0.585644 - 0.310376i) q^{46} +(-4.61716 - 7.99715i) q^{47} +(5.78338 - 3.81478i) q^{48} +(5.27308 - 9.13324i) q^{49} +(0.114689 - 3.16156i) q^{50} +(3.52186 + 1.16341i) q^{51} +(-5.14264 + 4.44604i) q^{52} +(1.17892 + 1.17892i) q^{53} +(7.33785 - 0.394961i) q^{54} +7.97171i q^{55} +(10.8429 - 4.77492i) q^{56} +(-2.25698 + 1.13611i) q^{57} +(-7.02443 + 6.53263i) q^{58} +(-1.48185 + 0.397061i) q^{59} +(-2.20950 - 5.31730i) q^{60} +(7.53224 + 2.01826i) q^{61} +(4.21258 + 7.94865i) q^{62} +(12.4841 + 1.43585i) q^{63} +(7.81141 + 1.72679i) q^{64} +(2.82498 + 4.89300i) q^{65} +(-4.89801 - 10.6775i) q^{66} +(2.63252 + 9.82470i) q^{67} +(1.86704 + 3.85445i) q^{68} +(0.540220 + 0.605914i) q^{69} +(-2.20205 - 9.59739i) q^{70} -8.27863i q^{71} +(6.22654 + 5.76456i) q^{72} +8.16641i q^{73} +(1.41959 - 0.325714i) q^{74} +(3.79388 - 0.787022i) q^{75} +(-2.75615 - 0.957372i) q^{76} +(-5.19937 - 19.4043i) q^{77} +(-6.79022 - 4.81808i) q^{78} +(3.63065 + 6.28847i) q^{79} +(2.63102 - 6.10616i) q^{80} +(2.61302 + 8.61232i) q^{81} +(-3.64113 + 1.92970i) q^{82} +(-7.59149 - 2.03413i) q^{83} +(8.84635 + 11.5020i) q^{84} +(3.43821 - 0.921267i) q^{85} +(-10.5977 - 11.3956i) q^{86} +(-9.82166 - 6.44684i) q^{87} +(4.91252 - 12.6438i) q^{88} +11.1968i q^{89} +(5.67908 - 4.18109i) q^{90} +(-10.0678 - 10.0678i) q^{91} +(-0.0679173 + 0.934886i) q^{92} +(-8.22376 + 7.33213i) q^{93} +(13.0507 + 0.473428i) q^{94} +(-1.21246 + 2.10004i) q^{95} +(0.227716 + 9.79531i) q^{96} +(-5.67759 - 9.83387i) q^{97} +(6.98411 + 13.1782i) q^{98} +(11.2693 - 8.94443i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.751042 + 1.19831i −0.531067 + 0.847330i
\(3\) −1.64464 0.543291i −0.949532 0.313669i
\(4\) −0.871873 1.79995i −0.435936 0.899977i
\(5\) −1.60558 + 0.430214i −0.718037 + 0.192397i −0.599296 0.800528i \(-0.704553\pi\)
−0.118741 + 0.992925i \(0.537886\pi\)
\(6\) 1.88622 1.56275i 0.770046 0.637988i
\(7\) 3.62762 2.09441i 1.37111 0.791611i 0.380043 0.924969i \(-0.375909\pi\)
0.991068 + 0.133358i \(0.0425759\pi\)
\(8\) 2.81171 + 0.307071i 0.994089 + 0.108566i
\(9\) 2.40967 + 1.78703i 0.803223 + 0.595678i
\(10\) 0.690330 2.24708i 0.218301 0.710590i
\(11\) 1.24125 4.63241i 0.374251 1.39673i −0.480184 0.877168i \(-0.659430\pi\)
0.854436 0.519557i \(-0.173903\pi\)
\(12\) 0.456016 + 3.43396i 0.131641 + 0.991298i
\(13\) −0.879738 3.28323i −0.243995 0.910603i −0.973886 0.227039i \(-0.927096\pi\)
0.729890 0.683564i \(-0.239571\pi\)
\(14\) −0.214754 + 5.91998i −0.0573953 + 1.58218i
\(15\) 2.87433 + 0.164751i 0.742148 + 0.0425384i
\(16\) −2.47968 + 3.13866i −0.619919 + 0.784666i
\(17\) −2.14142 −0.519370 −0.259685 0.965693i \(-0.583619\pi\)
−0.259685 + 0.965693i \(0.583619\pi\)
\(18\) −3.95118 + 1.54538i −0.931301 + 0.364251i
\(19\) 1.03156 1.03156i 0.236656 0.236656i −0.578808 0.815464i \(-0.696482\pi\)
0.815464 + 0.578808i \(0.196482\pi\)
\(20\) 2.17423 + 2.51488i 0.486172 + 0.562344i
\(21\) −7.10399 + 1.47369i −1.55022 + 0.321585i
\(22\) 4.61882 + 4.96653i 0.984735 + 1.05887i
\(23\) −0.405884 0.234337i −0.0846327 0.0488627i 0.457086 0.889422i \(-0.348893\pi\)
−0.541719 + 0.840560i \(0.682226\pi\)
\(24\) −4.45742 2.03260i −0.909866 0.414902i
\(25\) −1.93733 + 1.11852i −0.387465 + 0.223703i
\(26\) 4.59503 + 1.41164i 0.901159 + 0.276846i
\(27\) −2.99216 4.24818i −0.575841 0.817562i
\(28\) −6.93266 4.70349i −1.31015 0.888877i
\(29\) 6.55186 + 1.75557i 1.21665 + 0.326000i 0.809368 0.587302i \(-0.199810\pi\)
0.407282 + 0.913302i \(0.366477\pi\)
\(30\) −2.35616 + 3.32059i −0.430174 + 0.606254i
\(31\) 3.18054 5.50886i 0.571242 0.989421i −0.425196 0.905101i \(-0.639795\pi\)
0.996439 0.0843198i \(-0.0268717\pi\)
\(32\) −1.89874 5.32868i −0.335653 0.941986i
\(33\) −4.55816 + 6.94428i −0.793473 + 1.20884i
\(34\) 1.60829 2.56607i 0.275820 0.440078i
\(35\) −4.92339 + 4.92339i −0.832204 + 0.832204i
\(36\) 1.11565 5.89536i 0.185942 0.982561i
\(37\) −0.728237 0.728237i −0.119721 0.119721i 0.644708 0.764429i \(-0.276979\pi\)
−0.764429 + 0.644708i \(0.776979\pi\)
\(38\) 0.461380 + 2.01087i 0.0748456 + 0.326206i
\(39\) −0.336896 + 5.87767i −0.0539466 + 0.941181i
\(40\) −4.64653 + 0.716609i −0.734681 + 0.113306i
\(41\) 2.52351 + 1.45695i 0.394105 + 0.227537i 0.683937 0.729541i \(-0.260266\pi\)
−0.289832 + 0.957078i \(0.593599\pi\)
\(42\) 3.56946 9.61955i 0.550780 1.48433i
\(43\) −2.84802 + 10.6289i −0.434318 + 1.62090i 0.308374 + 0.951265i \(0.400215\pi\)
−0.742692 + 0.669633i \(0.766451\pi\)
\(44\) −9.42035 + 1.80468i −1.42017 + 0.272066i
\(45\) −4.63772 1.83255i −0.691351 0.273181i
\(46\) 0.585644 0.310376i 0.0863485 0.0457625i
\(47\) −4.61716 7.99715i −0.673482 1.16650i −0.976910 0.213650i \(-0.931465\pi\)
0.303429 0.952854i \(-0.401869\pi\)
\(48\) 5.78338 3.81478i 0.834759 0.550616i
\(49\) 5.27308 9.13324i 0.753297 1.30475i
\(50\) 0.114689 3.16156i 0.0162195 0.447112i
\(51\) 3.52186 + 1.16341i 0.493159 + 0.162910i
\(52\) −5.14264 + 4.44604i −0.713156 + 0.616555i
\(53\) 1.17892 + 1.17892i 0.161937 + 0.161937i 0.783424 0.621487i \(-0.213471\pi\)
−0.621487 + 0.783424i \(0.713471\pi\)
\(54\) 7.33785 0.394961i 0.998555 0.0537473i
\(55\) 7.97171i 1.07491i
\(56\) 10.8429 4.77492i 1.44895 0.638076i
\(57\) −2.25698 + 1.13611i −0.298944 + 0.150481i
\(58\) −7.02443 + 6.53263i −0.922352 + 0.857776i
\(59\) −1.48185 + 0.397061i −0.192921 + 0.0516930i −0.353986 0.935251i \(-0.615174\pi\)
0.161065 + 0.986944i \(0.448507\pi\)
\(60\) −2.20950 5.31730i −0.285246 0.686461i
\(61\) 7.53224 + 2.01826i 0.964404 + 0.258411i 0.706464 0.707749i \(-0.250289\pi\)
0.257941 + 0.966161i \(0.416956\pi\)
\(62\) 4.21258 + 7.94865i 0.534998 + 1.00948i
\(63\) 12.4841 + 1.43585i 1.57285 + 0.180900i
\(64\) 7.81141 + 1.72679i 0.976427 + 0.215849i
\(65\) 2.82498 + 4.89300i 0.350395 + 0.606902i
\(66\) −4.89801 10.6775i −0.602903 1.31431i
\(67\) 2.63252 + 9.82470i 0.321614 + 1.20028i 0.917673 + 0.397338i \(0.130066\pi\)
−0.596059 + 0.802941i \(0.703268\pi\)
\(68\) 1.86704 + 3.85445i 0.226412 + 0.467421i
\(69\) 0.540220 + 0.605914i 0.0650348 + 0.0729434i
\(70\) −2.20205 9.59739i −0.263196 1.14711i
\(71\) 8.27863i 0.982493i −0.871021 0.491246i \(-0.836542\pi\)
0.871021 0.491246i \(-0.163458\pi\)
\(72\) 6.22654 + 5.76456i 0.733805 + 0.679360i
\(73\) 8.16641i 0.955806i 0.878413 + 0.477903i \(0.158603\pi\)
−0.878413 + 0.477903i \(0.841397\pi\)
\(74\) 1.41959 0.325714i 0.165024 0.0378635i
\(75\) 3.79388 0.787022i 0.438079 0.0908775i
\(76\) −2.75615 0.957372i −0.316152 0.109818i
\(77\) −5.19937 19.4043i −0.592523 2.21133i
\(78\) −6.79022 4.81808i −0.768842 0.545540i
\(79\) 3.63065 + 6.28847i 0.408480 + 0.707508i 0.994720 0.102630i \(-0.0327257\pi\)
−0.586240 + 0.810138i \(0.699392\pi\)
\(80\) 2.63102 6.10616i 0.294157 0.682690i
\(81\) 2.61302 + 8.61232i 0.290336 + 0.956925i
\(82\) −3.64113 + 1.92970i −0.402095 + 0.213100i
\(83\) −7.59149 2.03413i −0.833274 0.223275i −0.183133 0.983088i \(-0.558624\pi\)
−0.650142 + 0.759813i \(0.725290\pi\)
\(84\) 8.84635 + 11.5020i 0.965216 + 1.25497i
\(85\) 3.43821 0.921267i 0.372927 0.0999254i
\(86\) −10.5977 11.3956i −1.14278 1.22882i
\(87\) −9.82166 6.44684i −1.05299 0.691174i
\(88\) 4.91252 12.6438i 0.523676 1.34784i
\(89\) 11.1968i 1.18686i 0.804886 + 0.593429i \(0.202226\pi\)
−0.804886 + 0.593429i \(0.797774\pi\)
\(90\) 5.67908 4.18109i 0.598628 0.440725i
\(91\) −10.0678 10.0678i −1.05539 1.05539i
\(92\) −0.0679173 + 0.934886i −0.00708087 + 0.0974686i
\(93\) −8.22376 + 7.33213i −0.852764 + 0.760306i
\(94\) 13.0507 + 0.473428i 1.34608 + 0.0488304i
\(95\) −1.21246 + 2.10004i −0.124396 + 0.215460i
\(96\) 0.227716 + 9.79531i 0.0232412 + 0.999730i
\(97\) −5.67759 9.83387i −0.576472 0.998479i −0.995880 0.0906808i \(-0.971096\pi\)
0.419408 0.907798i \(-0.362238\pi\)
\(98\) 6.98411 + 13.1782i 0.705501 + 1.33120i
\(99\) 11.2693 8.94443i 1.13261 0.898949i
\(100\) 3.70238 + 2.51190i 0.370238 + 0.251190i
\(101\) 0.777558 2.90189i 0.0773699 0.288749i −0.916390 0.400286i \(-0.868911\pi\)
0.993760 + 0.111537i \(0.0355775\pi\)
\(102\) −4.03918 + 3.34649i −0.399939 + 0.331352i
\(103\) −1.24824 0.720669i −0.122992 0.0710096i 0.437242 0.899344i \(-0.355955\pi\)
−0.560234 + 0.828334i \(0.689289\pi\)
\(104\) −1.46538 9.50162i −0.143693 0.931710i
\(105\) 10.7720 5.42236i 1.05124 0.529168i
\(106\) −2.29812 + 0.527287i −0.223213 + 0.0512146i
\(107\) 5.85602 + 5.85602i 0.566123 + 0.566123i 0.931040 0.364917i \(-0.118903\pi\)
−0.364917 + 0.931040i \(0.618903\pi\)
\(108\) −5.03775 + 9.08962i −0.484757 + 0.874649i
\(109\) −2.05249 + 2.05249i −0.196593 + 0.196593i −0.798538 0.601945i \(-0.794393\pi\)
0.601945 + 0.798538i \(0.294393\pi\)
\(110\) −9.55255 5.98709i −0.910799 0.570846i
\(111\) 0.802042 + 1.59333i 0.0761265 + 0.151232i
\(112\) −2.42168 + 16.5793i −0.228827 + 1.56660i
\(113\) −4.12726 + 7.14862i −0.388260 + 0.672486i −0.992216 0.124532i \(-0.960257\pi\)
0.603956 + 0.797018i \(0.293590\pi\)
\(114\) 0.333684 3.55781i 0.0312524 0.333220i
\(115\) 0.752495 + 0.201630i 0.0701705 + 0.0188021i
\(116\) −2.55245 13.3237i −0.236989 1.23707i
\(117\) 3.74736 9.48361i 0.346443 0.876760i
\(118\) 0.637132 2.07392i 0.0586528 0.190920i
\(119\) −7.76824 + 4.48500i −0.712114 + 0.411139i
\(120\) 8.03118 + 1.34585i 0.733143 + 0.122859i
\(121\) −10.3923 5.99998i −0.944752 0.545453i
\(122\) −8.07551 + 7.51013i −0.731123 + 0.679935i
\(123\) −3.35871 3.76715i −0.302845 0.339672i
\(124\) −12.6887 0.921808i −1.13948 0.0827808i
\(125\) 8.50616 8.50616i 0.760814 0.760814i
\(126\) −11.0967 + 13.8814i −0.988572 + 1.23666i
\(127\) −1.68483 −0.149504 −0.0747521 0.997202i \(-0.523817\pi\)
−0.0747521 + 0.997202i \(0.523817\pi\)
\(128\) −7.93592 + 8.06357i −0.701443 + 0.712726i
\(129\) 10.4586 15.9335i 0.920825 1.40286i
\(130\) −7.98499 0.289664i −0.700330 0.0254052i
\(131\) 1.97334 + 7.36461i 0.172412 + 0.643449i 0.996978 + 0.0776838i \(0.0247525\pi\)
−0.824566 + 0.565765i \(0.808581\pi\)
\(132\) 16.4735 + 2.14995i 1.43384 + 0.187129i
\(133\) 1.58160 5.90261i 0.137142 0.511821i
\(134\) −13.7501 4.22420i −1.18783 0.364915i
\(135\) 6.63177 + 5.53352i 0.570772 + 0.476249i
\(136\) −6.02104 0.657567i −0.516300 0.0563859i
\(137\) 8.26806 4.77357i 0.706388 0.407833i −0.103334 0.994647i \(-0.532951\pi\)
0.809722 + 0.586813i \(0.199618\pi\)
\(138\) −1.13180 + 0.192282i −0.0963450 + 0.0163681i
\(139\) −13.9684 + 3.74281i −1.18478 + 0.317461i −0.796821 0.604215i \(-0.793487\pi\)
−0.387960 + 0.921676i \(0.626820\pi\)
\(140\) 13.1544 + 4.56931i 1.11175 + 0.386177i
\(141\) 3.24877 + 15.6609i 0.273596 + 1.31888i
\(142\) 9.92033 + 6.21760i 0.832495 + 0.521769i
\(143\) −16.3012 −1.36318
\(144\) −11.5841 + 3.13188i −0.965342 + 0.260990i
\(145\) −11.2748 −0.936321
\(146\) −9.78586 6.13331i −0.809883 0.507597i
\(147\) −13.6343 + 12.1561i −1.12454 + 1.00261i
\(148\) −0.675864 + 1.94572i −0.0555557 + 0.159938i
\(149\) −1.66249 + 0.445462i −0.136196 + 0.0364937i −0.326273 0.945276i \(-0.605793\pi\)
0.190077 + 0.981769i \(0.439126\pi\)
\(150\) −1.90627 + 5.13731i −0.155646 + 0.419460i
\(151\) 18.5071 10.6851i 1.50609 0.869542i 0.506115 0.862466i \(-0.331081\pi\)
0.999975 0.00707596i \(-0.00225237\pi\)
\(152\) 3.21721 2.58368i 0.260950 0.209564i
\(153\) −5.16011 3.82678i −0.417170 0.309377i
\(154\) 27.1572 + 8.34301i 2.18839 + 0.672299i
\(155\) −2.73663 + 10.2132i −0.219811 + 0.820346i
\(156\) 10.8733 4.51818i 0.870559 0.361744i
\(157\) 2.74550 + 10.2463i 0.219114 + 0.817746i 0.984677 + 0.174385i \(0.0557938\pi\)
−0.765563 + 0.643361i \(0.777539\pi\)
\(158\) −10.2623 0.372275i −0.816422 0.0296166i
\(159\) −1.29840 2.57939i −0.102970 0.204559i
\(160\) 5.34104 + 7.73875i 0.422247 + 0.611802i
\(161\) −1.96319 −0.154721
\(162\) −12.2827 3.33702i −0.965019 0.262181i
\(163\) −3.47621 + 3.47621i −0.272278 + 0.272278i −0.830017 0.557739i \(-0.811669\pi\)
0.557739 + 0.830017i \(0.311669\pi\)
\(164\) 0.422263 5.81247i 0.0329732 0.453878i
\(165\) 4.33096 13.1106i 0.337165 1.02066i
\(166\) 8.13904 7.56920i 0.631712 0.587484i
\(167\) 0.277442 + 0.160181i 0.0214691 + 0.0123952i 0.510696 0.859761i \(-0.329388\pi\)
−0.489227 + 0.872156i \(0.662721\pi\)
\(168\) −20.4269 + 1.96215i −1.57597 + 0.151383i
\(169\) 1.25270 0.723245i 0.0963613 0.0556342i
\(170\) −1.47828 + 4.81194i −0.113379 + 0.369059i
\(171\) 4.32915 0.642287i 0.331059 0.0491169i
\(172\) 21.6147 4.14078i 1.64811 0.315732i
\(173\) 11.6901 + 3.13236i 0.888784 + 0.238149i 0.674193 0.738555i \(-0.264491\pi\)
0.214591 + 0.976704i \(0.431158\pi\)
\(174\) 15.1018 6.92751i 1.14486 0.525173i
\(175\) −4.68525 + 8.11510i −0.354172 + 0.613444i
\(176\) 11.4617 + 15.3828i 0.863957 + 1.15952i
\(177\) 2.65283 + 0.152055i 0.199399 + 0.0114291i
\(178\) −13.4172 8.40926i −1.00566 0.630301i
\(179\) 18.6780 18.6780i 1.39606 1.39606i 0.585104 0.810958i \(-0.301054\pi\)
0.810958 0.585104i \(-0.198946\pi\)
\(180\) 0.744994 + 9.94544i 0.0555286 + 0.741290i
\(181\) 4.10527 + 4.10527i 0.305143 + 0.305143i 0.843022 0.537879i \(-0.180774\pi\)
−0.537879 + 0.843022i \(0.680774\pi\)
\(182\) 19.6256 4.50295i 1.45474 0.333781i
\(183\) −11.2913 7.41150i −0.834677 0.547874i
\(184\) −1.06927 0.783524i −0.0788277 0.0577622i
\(185\) 1.48254 + 0.855945i 0.108998 + 0.0629303i
\(186\) −2.60974 15.3613i −0.191356 1.12635i
\(187\) −2.65804 + 9.91993i −0.194375 + 0.725417i
\(188\) −10.3689 + 15.2832i −0.756232 + 1.11464i
\(189\) −19.7518 9.14397i −1.43673 0.665126i
\(190\) −1.60588 3.03012i −0.116503 0.219828i
\(191\) 8.60099 + 14.8974i 0.622346 + 1.07793i 0.989048 + 0.147596i \(0.0471536\pi\)
−0.366702 + 0.930338i \(0.619513\pi\)
\(192\) −11.9088 7.08381i −0.859444 0.511230i
\(193\) 9.17459 15.8909i 0.660402 1.14385i −0.320108 0.947381i \(-0.603719\pi\)
0.980510 0.196468i \(-0.0629473\pi\)
\(194\) 16.0481 + 0.582162i 1.15219 + 0.0417968i
\(195\) −1.98774 9.58201i −0.142345 0.686182i
\(196\) −21.0369 1.52828i −1.50263 0.109163i
\(197\) 8.80431 + 8.80431i 0.627281 + 0.627281i 0.947383 0.320102i \(-0.103717\pi\)
−0.320102 + 0.947383i \(0.603717\pi\)
\(198\) 2.25446 + 20.2217i 0.160217 + 1.43709i
\(199\) 10.0277i 0.710847i 0.934705 + 0.355423i \(0.115663\pi\)
−0.934705 + 0.355423i \(0.884337\pi\)
\(200\) −5.79066 + 2.55004i −0.409462 + 0.180315i
\(201\) 1.00813 17.5883i 0.0711077 1.24058i
\(202\) 2.89337 + 3.11119i 0.203577 + 0.218903i
\(203\) 27.4445 7.35374i 1.92623 0.516131i
\(204\) −0.976521 7.35353i −0.0683701 0.514850i
\(205\) −4.67849 1.25360i −0.326760 0.0875550i
\(206\) 1.80106 0.954515i 0.125486 0.0665042i
\(207\) −0.559278 1.29001i −0.0388725 0.0896616i
\(208\) 12.4864 + 5.38014i 0.865776 + 0.373045i
\(209\) −3.49819 6.05904i −0.241975 0.419112i
\(210\) −1.59259 + 16.9806i −0.109899 + 1.17177i
\(211\) −5.14678 19.2080i −0.354319 1.32234i −0.881340 0.472483i \(-0.843358\pi\)
0.527021 0.849852i \(-0.323309\pi\)
\(212\) 1.09413 3.14986i 0.0751452 0.216333i
\(213\) −4.49770 + 13.6154i −0.308178 + 0.932908i
\(214\) −11.4154 + 2.61919i −0.780342 + 0.179044i
\(215\) 18.2909i 1.24743i
\(216\) −7.10858 12.8634i −0.483678 0.875246i
\(217\) 26.6454i 1.80881i
\(218\) −0.918005 4.00102i −0.0621751 0.270983i
\(219\) 4.43674 13.4308i 0.299807 0.907569i
\(220\) 14.3487 6.95032i 0.967390 0.468590i
\(221\) 1.88389 + 7.03076i 0.126724 + 0.472940i
\(222\) −2.51166 0.235567i −0.168572 0.0158102i
\(223\) −6.96587 12.0652i −0.466469 0.807948i 0.532797 0.846243i \(-0.321141\pi\)
−0.999266 + 0.0382947i \(0.987807\pi\)
\(224\) −18.0483 15.3537i −1.20590 1.02586i
\(225\) −6.66714 0.766813i −0.444476 0.0511209i
\(226\) −5.46649 10.3146i −0.363625 0.686119i
\(227\) −7.32092 1.96164i −0.485907 0.130198i 0.00754492 0.999972i \(-0.497598\pi\)
−0.493452 + 0.869773i \(0.664265\pi\)
\(228\) 4.01274 + 3.07192i 0.265750 + 0.203443i
\(229\) −18.4637 + 4.94734i −1.22012 + 0.326930i −0.810724 0.585428i \(-0.800926\pi\)
−0.409394 + 0.912358i \(0.634260\pi\)
\(230\) −0.806770 + 0.750286i −0.0531968 + 0.0494724i
\(231\) −1.99110 + 34.7378i −0.131005 + 2.28558i
\(232\) 17.8828 + 6.94803i 1.17407 + 0.456160i
\(233\) 10.7647i 0.705216i 0.935771 + 0.352608i \(0.114705\pi\)
−0.935771 + 0.352608i \(0.885295\pi\)
\(234\) 8.54984 + 11.6131i 0.558921 + 0.759170i
\(235\) 10.8537 + 10.8537i 0.708017 + 0.708017i
\(236\) 2.00668 + 2.32108i 0.130624 + 0.151089i
\(237\) −2.55464 12.3147i −0.165941 0.799929i
\(238\) 0.459877 12.6771i 0.0298094 0.821738i
\(239\) −11.1429 + 19.3001i −0.720774 + 1.24842i 0.239916 + 0.970794i \(0.422880\pi\)
−0.960690 + 0.277624i \(0.910453\pi\)
\(240\) −7.64450 + 8.61302i −0.493450 + 0.555968i
\(241\) 13.7285 + 23.7785i 0.884332 + 1.53171i 0.846478 + 0.532424i \(0.178719\pi\)
0.0378540 + 0.999283i \(0.487948\pi\)
\(242\) 14.9948 7.94688i 0.963905 0.510845i
\(243\) 0.381525 15.5838i 0.0244748 0.999700i
\(244\) −2.93438 15.3174i −0.187855 0.980593i
\(245\) −4.53710 + 16.9327i −0.289865 + 1.08179i
\(246\) 7.03673 1.19547i 0.448645 0.0762206i
\(247\) −4.29435 2.47934i −0.273243 0.157757i
\(248\) 10.6344 14.5127i 0.675284 0.921555i
\(249\) 11.3801 + 7.46980i 0.721186 + 0.473379i
\(250\) 3.80450 + 16.5815i 0.240618 + 1.04870i
\(251\) 11.4125 + 11.4125i 0.720350 + 0.720350i 0.968676 0.248326i \(-0.0798805\pi\)
−0.248326 + 0.968676i \(0.579881\pi\)
\(252\) −8.30012 23.7228i −0.522858 1.49439i
\(253\) −1.58935 + 1.58935i −0.0999217 + 0.0999217i
\(254\) 1.26538 2.01894i 0.0793967 0.126679i
\(255\) −6.15514 0.352800i −0.385450 0.0220932i
\(256\) −3.70242 15.5657i −0.231401 0.972858i
\(257\) −0.930384 + 1.61147i −0.0580357 + 0.100521i −0.893584 0.448897i \(-0.851817\pi\)
0.835548 + 0.549418i \(0.185150\pi\)
\(258\) 11.2383 + 24.4992i 0.699668 + 1.52526i
\(259\) −4.16699 1.11654i −0.258924 0.0693785i
\(260\) 6.34417 9.35091i 0.393449 0.579919i
\(261\) 12.6506 + 15.9387i 0.783051 + 0.986583i
\(262\) −10.3071 3.16646i −0.636776 0.195625i
\(263\) 0.0414842 0.0239509i 0.00255802 0.00147687i −0.498720 0.866763i \(-0.666197\pi\)
0.501278 + 0.865286i \(0.332863\pi\)
\(264\) −14.9486 + 18.1256i −0.920023 + 1.11556i
\(265\) −2.40003 1.38566i −0.147433 0.0851203i
\(266\) 5.88528 + 6.32835i 0.360850 + 0.388016i
\(267\) 6.08312 18.4147i 0.372281 1.12696i
\(268\) 15.3888 13.3043i 0.940020 0.812690i
\(269\) −14.5681 + 14.5681i −0.888235 + 0.888235i −0.994354 0.106118i \(-0.966158\pi\)
0.106118 + 0.994354i \(0.466158\pi\)
\(270\) −11.6116 + 3.79098i −0.706658 + 0.230712i
\(271\) −15.7807 −0.958607 −0.479304 0.877649i \(-0.659111\pi\)
−0.479304 + 0.877649i \(0.659111\pi\)
\(272\) 5.31002 6.72119i 0.321967 0.407532i
\(273\) 11.0881 + 22.0275i 0.671083 + 1.33317i
\(274\) −0.489466 + 13.4928i −0.0295697 + 0.815131i
\(275\) 2.77672 + 10.3629i 0.167442 + 0.624904i
\(276\) 0.619615 1.50065i 0.0372964 0.0903285i
\(277\) −1.93294 + 7.21383i −0.116139 + 0.433437i −0.999370 0.0355022i \(-0.988697\pi\)
0.883231 + 0.468939i \(0.155364\pi\)
\(278\) 6.00579 19.5494i 0.360203 1.17249i
\(279\) 17.5086 7.59080i 1.04821 0.454449i
\(280\) −15.3550 + 12.3313i −0.917634 + 0.736936i
\(281\) −5.84440 + 3.37427i −0.348648 + 0.201292i −0.664089 0.747653i \(-0.731181\pi\)
0.315442 + 0.948945i \(0.397847\pi\)
\(282\) −21.2065 7.86895i −1.26283 0.468589i
\(283\) 12.4414 3.33366i 0.739563 0.198165i 0.130679 0.991425i \(-0.458284\pi\)
0.608884 + 0.793259i \(0.291617\pi\)
\(284\) −14.9012 + 7.21791i −0.884221 + 0.428304i
\(285\) 3.13499 2.79509i 0.185701 0.165567i
\(286\) 12.2429 19.5339i 0.723938 1.15506i
\(287\) 12.2058 0.720483
\(288\) 4.94719 16.2335i 0.291516 0.956566i
\(289\) −12.4143 −0.730255
\(290\) 8.46785 13.5107i 0.497249 0.793373i
\(291\) 3.99493 + 19.2577i 0.234187 + 1.12891i
\(292\) 14.6992 7.12007i 0.860204 0.416671i
\(293\) 13.8785 3.71874i 0.810792 0.217251i 0.170475 0.985362i \(-0.445470\pi\)
0.640317 + 0.768111i \(0.278803\pi\)
\(294\) −4.32674 25.4678i −0.252340 1.48531i
\(295\) 2.20841 1.27503i 0.128579 0.0742349i
\(296\) −1.82397 2.27121i −0.106016 0.132011i
\(297\) −23.3933 + 8.58785i −1.35742 + 0.498318i
\(298\) 0.714797 2.32673i 0.0414071 0.134784i
\(299\) −0.412311 + 1.53877i −0.0238446 + 0.0889891i
\(300\) −4.72438 6.14263i −0.272762 0.354645i
\(301\) 11.9298 + 44.5226i 0.687622 + 2.56624i
\(302\) −1.09562 + 30.2022i −0.0630456 + 1.73794i
\(303\) −2.85537 + 4.35011i −0.164037 + 0.249907i
\(304\) 0.679785 + 5.79565i 0.0389884 + 0.332404i
\(305\) −12.9619 −0.742196
\(306\) 8.46111 3.30931i 0.483690 0.189181i
\(307\) 12.2394 12.2394i 0.698539 0.698539i −0.265556 0.964095i \(-0.585556\pi\)
0.964095 + 0.265556i \(0.0855556\pi\)
\(308\) −30.3937 + 26.2767i −1.73184 + 1.49726i
\(309\) 1.66136 + 1.86339i 0.0945116 + 0.106005i
\(310\) −10.1832 10.9499i −0.578370 0.621911i
\(311\) −0.742777 0.428842i −0.0421190 0.0243174i 0.478793 0.877928i \(-0.341075\pi\)
−0.520912 + 0.853611i \(0.674408\pi\)
\(312\) −2.75212 + 16.4229i −0.155808 + 0.929761i
\(313\) −15.8984 + 9.17895i −0.898631 + 0.518825i −0.876756 0.480936i \(-0.840297\pi\)
−0.0218755 + 0.999761i \(0.506964\pi\)
\(314\) −14.3402 4.40548i −0.809265 0.248616i
\(315\) −20.6620 + 3.06548i −1.16417 + 0.172720i
\(316\) 8.15349 12.0177i 0.458670 0.676051i
\(317\) −4.02641 1.07887i −0.226146 0.0605956i 0.143967 0.989583i \(-0.454014\pi\)
−0.370112 + 0.928987i \(0.620681\pi\)
\(318\) 4.06604 + 0.381350i 0.228012 + 0.0213851i
\(319\) 16.2650 28.1718i 0.910666 1.57732i
\(320\) −13.2847 + 0.588080i −0.742639 + 0.0328747i
\(321\) −6.44952 12.8126i −0.359977 0.715128i
\(322\) 1.47444 2.35250i 0.0821673 0.131100i
\(323\) −2.20900 + 2.20900i −0.122912 + 0.122912i
\(324\) 13.2236 12.2122i 0.734643 0.678454i
\(325\) 5.37668 + 5.37668i 0.298244 + 0.298244i
\(326\) −1.55478 6.77634i −0.0861115 0.375307i
\(327\) 4.49070 2.26050i 0.248336 0.125006i
\(328\) 6.64798 + 4.87141i 0.367073 + 0.268978i
\(329\) −33.4986 19.3404i −1.84684 1.06627i
\(330\) 12.4578 + 15.0364i 0.685777 + 0.827727i
\(331\) 1.33734 4.99103i 0.0735070 0.274332i −0.919384 0.393362i \(-0.871312\pi\)
0.992891 + 0.119030i \(0.0379785\pi\)
\(332\) 2.95746 + 15.4378i 0.162312 + 0.847262i
\(333\) −0.453427 3.05620i −0.0248476 0.167478i
\(334\) −0.400317 + 0.212158i −0.0219044 + 0.0116088i
\(335\) −8.45344 14.6418i −0.461861 0.799966i
\(336\) 12.9902 25.9513i 0.708673 1.41576i
\(337\) 1.94762 3.37338i 0.106094 0.183760i −0.808091 0.589058i \(-0.799499\pi\)
0.914185 + 0.405298i \(0.132832\pi\)
\(338\) −0.0741592 + 2.04430i −0.00403373 + 0.111195i
\(339\) 10.6716 9.51459i 0.579603 0.516762i
\(340\) −4.65592 5.38540i −0.252503 0.292065i
\(341\) −21.5715 21.5715i −1.16816 1.16816i
\(342\) −2.48172 + 5.67003i −0.134196 + 0.306600i
\(343\) 14.8542i 0.802049i
\(344\) −11.2716 + 29.0109i −0.607726 + 1.56417i
\(345\) −1.12804 0.740433i −0.0607315 0.0398635i
\(346\) −12.5333 + 11.6558i −0.673795 + 0.626621i
\(347\) −3.04812 + 0.816741i −0.163632 + 0.0438449i −0.339705 0.940532i \(-0.610327\pi\)
0.176073 + 0.984377i \(0.443660\pi\)
\(348\) −3.04078 + 23.2994i −0.163003 + 1.24898i
\(349\) 1.39893 + 0.374843i 0.0748831 + 0.0200649i 0.296066 0.955167i \(-0.404325\pi\)
−0.221183 + 0.975232i \(0.570992\pi\)
\(350\) −6.20554 11.7091i −0.331700 0.625880i
\(351\) −11.3154 + 13.5612i −0.603972 + 0.723844i
\(352\) −27.0414 + 2.18151i −1.44131 + 0.116275i
\(353\) 7.73892 + 13.4042i 0.411901 + 0.713434i 0.995098 0.0988971i \(-0.0315315\pi\)
−0.583196 + 0.812331i \(0.698198\pi\)
\(354\) −2.17459 + 3.06470i −0.115578 + 0.162887i
\(355\) 3.56158 + 13.2920i 0.189029 + 0.705466i
\(356\) 20.1537 9.76218i 1.06815 0.517395i
\(357\) 15.2126 3.15578i 0.805137 0.167022i
\(358\) 8.35401 + 36.4100i 0.441523 + 1.92433i
\(359\) 4.78775i 0.252688i 0.991987 + 0.126344i \(0.0403242\pi\)
−0.991987 + 0.126344i \(0.959676\pi\)
\(360\) −12.4772 6.57671i −0.657606 0.346623i
\(361\) 16.8718i 0.887988i
\(362\) −8.00261 + 1.83614i −0.420608 + 0.0965054i
\(363\) 13.8318 + 15.5138i 0.725981 + 0.814264i
\(364\) −9.34371 + 26.8993i −0.489743 + 1.40991i
\(365\) −3.51330 13.1118i −0.183895 0.686304i
\(366\) 17.3615 7.96409i 0.907499 0.416290i
\(367\) −9.93807 17.2133i −0.518763 0.898524i −0.999762 0.0218032i \(-0.993059\pi\)
0.480999 0.876721i \(-0.340274\pi\)
\(368\) 1.74197 0.692854i 0.0908064 0.0361175i
\(369\) 3.47720 + 8.02035i 0.181016 + 0.417523i
\(370\) −2.13913 + 1.13369i −0.111208 + 0.0589375i
\(371\) 6.74579 + 1.80753i 0.350224 + 0.0938422i
\(372\) 20.3676 + 8.40971i 1.05601 + 0.436023i
\(373\) −0.427591 + 0.114573i −0.0221398 + 0.00593235i −0.269872 0.962896i \(-0.586981\pi\)
0.247732 + 0.968829i \(0.420315\pi\)
\(374\) −9.89081 10.6354i −0.511442 0.549944i
\(375\) −18.6109 + 9.36823i −0.961061 + 0.483774i
\(376\) −10.5264 23.9035i −0.542858 1.23273i
\(377\) 23.0557i 1.18743i
\(378\) 25.7917 16.8012i 1.32658 0.864161i
\(379\) −6.18132 6.18132i −0.317513 0.317513i 0.530298 0.847811i \(-0.322080\pi\)
−0.847811 + 0.530298i \(0.822080\pi\)
\(380\) 4.83709 + 0.351404i 0.248138 + 0.0180266i
\(381\) 2.77093 + 0.915351i 0.141959 + 0.0468949i
\(382\) −24.3113 0.881917i −1.24387 0.0451228i
\(383\) 6.46708 11.2013i 0.330452 0.572360i −0.652148 0.758091i \(-0.726132\pi\)
0.982601 + 0.185731i \(0.0594654\pi\)
\(384\) 17.4326 8.95014i 0.889603 0.456735i
\(385\) 16.6960 + 28.9183i 0.850907 + 1.47381i
\(386\) 12.1516 + 22.9287i 0.618501 + 1.16704i
\(387\) −25.8571 + 20.5227i −1.31439 + 1.04323i
\(388\) −12.7504 + 18.7933i −0.647303 + 0.954085i
\(389\) 7.08096 26.4265i 0.359019 1.33988i −0.516331 0.856389i \(-0.672703\pi\)
0.875351 0.483489i \(-0.160631\pi\)
\(390\) 12.9750 + 4.81456i 0.657017 + 0.243795i
\(391\) 0.869168 + 0.501814i 0.0439557 + 0.0253778i
\(392\) 17.6309 24.0608i 0.890495 1.21525i
\(393\) 0.755693 13.1842i 0.0381197 0.665056i
\(394\) −17.1627 + 3.93785i −0.864642 + 0.198386i
\(395\) −8.53468 8.53468i −0.429426 0.429426i
\(396\) −25.9250 12.4858i −1.30278 0.627435i
\(397\) 21.9741 21.9741i 1.10285 1.10285i 0.108781 0.994066i \(-0.465305\pi\)
0.994066 0.108781i \(-0.0346948\pi\)
\(398\) −12.0163 7.53124i −0.602322 0.377507i
\(399\) −5.80799 + 8.84839i −0.290763 + 0.442974i
\(400\) 1.29330 8.85417i 0.0646648 0.442709i
\(401\) 13.4970 23.3775i 0.674009 1.16742i −0.302749 0.953070i \(-0.597904\pi\)
0.976758 0.214347i \(-0.0687624\pi\)
\(402\) 20.3190 + 14.4176i 1.01342 + 0.719084i
\(403\) −20.8849 5.59609i −1.04035 0.278761i
\(404\) −5.90120 + 1.13051i −0.293596 + 0.0562448i
\(405\) −7.90055 12.7036i −0.392581 0.631248i
\(406\) −11.8000 + 38.4099i −0.585622 + 1.90625i
\(407\) −4.27742 + 2.46957i −0.212024 + 0.122412i
\(408\) 9.54518 + 4.35264i 0.472557 + 0.215488i
\(409\) 11.1537 + 6.43957i 0.551513 + 0.318416i 0.749732 0.661741i \(-0.230182\pi\)
−0.198219 + 0.980158i \(0.563516\pi\)
\(410\) 5.01593 4.66475i 0.247719 0.230376i
\(411\) −16.1914 + 3.35883i −0.798663 + 0.165679i
\(412\) −0.208869 + 2.87510i −0.0102903 + 0.141646i
\(413\) −4.54399 + 4.54399i −0.223595 + 0.223595i
\(414\) 1.96586 + 0.298661i 0.0966168 + 0.0146784i
\(415\) 13.0638 0.641279
\(416\) −15.8249 + 10.9218i −0.775877 + 0.535486i
\(417\) 25.0063 + 1.43331i 1.22457 + 0.0701896i
\(418\) 9.88786 + 0.358693i 0.483631 + 0.0175442i
\(419\) −0.0545100 0.203434i −0.00266299 0.00993841i 0.964582 0.263785i \(-0.0849709\pi\)
−0.967245 + 0.253846i \(0.918304\pi\)
\(420\) −19.1518 14.6615i −0.934514 0.715410i
\(421\) 9.17194 34.2301i 0.447013 1.66827i −0.263554 0.964645i \(-0.584895\pi\)
0.710567 0.703630i \(-0.248439\pi\)
\(422\) 26.8825 + 8.25862i 1.30862 + 0.402023i
\(423\) 3.16535 27.5215i 0.153905 1.33814i
\(424\) 2.95276 + 3.67678i 0.143399 + 0.178560i
\(425\) 4.14862 2.39521i 0.201238 0.116185i
\(426\) −12.9374 15.6153i −0.626819 0.756565i
\(427\) 31.5511 8.45410i 1.52687 0.409123i
\(428\) 5.43487 15.6463i 0.262704 0.756292i
\(429\) 26.8096 + 8.85631i 1.29438 + 0.427587i
\(430\) 21.9180 + 13.7372i 1.05698 + 0.662467i
\(431\) 33.5339 1.61527 0.807635 0.589683i \(-0.200747\pi\)
0.807635 + 0.589683i \(0.200747\pi\)
\(432\) 20.7532 + 1.14273i 0.998487 + 0.0549795i
\(433\) −28.9691 −1.39217 −0.696083 0.717962i \(-0.745075\pi\)
−0.696083 + 0.717962i \(0.745075\pi\)
\(434\) 31.9293 + 20.0118i 1.53266 + 0.960597i
\(435\) 18.5430 + 6.12550i 0.889067 + 0.293695i
\(436\) 5.48390 + 1.90488i 0.262631 + 0.0912272i
\(437\) −0.660427 + 0.176961i −0.0315925 + 0.00846519i
\(438\) 12.7620 + 15.4036i 0.609793 + 0.736015i
\(439\) −14.6656 + 8.46718i −0.699950 + 0.404116i −0.807329 0.590102i \(-0.799088\pi\)
0.107379 + 0.994218i \(0.465754\pi\)
\(440\) −2.44788 + 22.4141i −0.116698 + 1.06855i
\(441\) 29.0278 12.5849i 1.38227 0.599282i
\(442\) −9.83987 3.02292i −0.468035 0.143786i
\(443\) 0.826654 3.08511i 0.0392755 0.146578i −0.943504 0.331362i \(-0.892492\pi\)
0.982779 + 0.184784i \(0.0591585\pi\)
\(444\) 2.16865 2.83282i 0.102919 0.134440i
\(445\) −4.81702 17.9773i −0.228348 0.852208i
\(446\) 19.6895 + 0.714257i 0.932325 + 0.0338211i
\(447\) 2.97621 + 0.170590i 0.140770 + 0.00806863i
\(448\) 31.9534 10.0961i 1.50966 0.476998i
\(449\) −41.9192 −1.97829 −0.989145 0.146944i \(-0.953056\pi\)
−0.989145 + 0.146944i \(0.953056\pi\)
\(450\) 5.92618 7.41336i 0.279363 0.349469i
\(451\) 9.88149 9.88149i 0.465301 0.465301i
\(452\) 16.4656 + 1.19619i 0.774478 + 0.0562641i
\(453\) −36.2427 + 7.51837i −1.70283 + 0.353244i
\(454\) 7.84896 7.29943i 0.368370 0.342579i
\(455\) 20.4959 + 11.8333i 0.960862 + 0.554754i
\(456\) −6.69484 + 2.50135i −0.313514 + 0.117136i
\(457\) 4.93980 2.85199i 0.231074 0.133411i −0.379993 0.924989i \(-0.624074\pi\)
0.611067 + 0.791579i \(0.290740\pi\)
\(458\) 7.93860 25.8409i 0.370947 1.20746i
\(459\) 6.40745 + 9.09712i 0.299074 + 0.424617i
\(460\) −0.293154 1.53025i −0.0136684 0.0713484i
\(461\) −38.3338 10.2715i −1.78538 0.478392i −0.793834 0.608135i \(-0.791918\pi\)
−0.991548 + 0.129743i \(0.958585\pi\)
\(462\) −40.1312 28.4755i −1.86707 1.32480i
\(463\) −6.28293 + 10.8824i −0.291992 + 0.505746i −0.974281 0.225337i \(-0.927652\pi\)
0.682288 + 0.731083i \(0.260985\pi\)
\(464\) −21.7566 + 16.2109i −1.01003 + 0.752570i
\(465\) 10.0495 15.3103i 0.466035 0.709997i
\(466\) −12.8993 8.08471i −0.597551 0.374517i
\(467\) 12.1784 12.1784i 0.563550 0.563550i −0.366764 0.930314i \(-0.619534\pi\)
0.930314 + 0.366764i \(0.119534\pi\)
\(468\) −20.3373 + 1.52343i −0.940092 + 0.0704204i
\(469\) 30.1267 + 30.1267i 1.39112 + 1.39112i
\(470\) −21.1576 + 4.85447i −0.975928 + 0.223920i
\(471\) 1.05139 18.3431i 0.0484455 0.845206i
\(472\) −4.28846 + 0.661386i −0.197393 + 0.0304428i
\(473\) 45.7025 + 26.3864i 2.10140 + 1.21325i
\(474\) 16.6755 + 6.18766i 0.765930 + 0.284208i
\(475\) −0.844652 + 3.15228i −0.0387553 + 0.144637i
\(476\) 14.8457 + 10.0721i 0.680452 + 0.461656i
\(477\) 0.734036 + 4.94756i 0.0336092 + 0.226533i
\(478\) −14.7586 27.8478i −0.675043 1.27373i
\(479\) −10.6864 18.5094i −0.488275 0.845717i 0.511634 0.859204i \(-0.329040\pi\)
−0.999909 + 0.0134862i \(0.995707\pi\)
\(480\) −4.57969 15.6292i −0.209033 0.713371i
\(481\) −1.75031 + 3.03162i −0.0798072 + 0.138230i
\(482\) −38.8046 1.40768i −1.76750 0.0641180i
\(483\) 3.22874 + 1.06658i 0.146913 + 0.0485313i
\(484\) −1.73896 + 23.9368i −0.0790435 + 1.08804i
\(485\) 13.3465 + 13.3465i 0.606033 + 0.606033i
\(486\) 18.3876 + 12.1613i 0.834078 + 0.551646i
\(487\) 39.3716i 1.78410i 0.451939 + 0.892049i \(0.350732\pi\)
−0.451939 + 0.892049i \(0.649268\pi\)
\(488\) 20.5587 + 7.98769i 0.930649 + 0.361586i
\(489\) 7.60570 3.82851i 0.343942 0.173131i
\(490\) −16.8830 18.1540i −0.762695 0.820113i
\(491\) −33.8903 + 9.08087i −1.52945 + 0.409814i −0.922839 0.385187i \(-0.874137\pi\)
−0.606608 + 0.795001i \(0.707470\pi\)
\(492\) −3.85233 + 9.33000i −0.173676 + 0.420629i
\(493\) −14.0303 3.75940i −0.631891 0.169315i
\(494\) 6.19624 3.28385i 0.278782 0.147747i
\(495\) −14.2457 + 19.2092i −0.640297 + 0.863389i
\(496\) 9.40375 + 23.6428i 0.422241 + 1.06160i
\(497\) −17.3388 30.0317i −0.777752 1.34711i
\(498\) −17.4981 + 8.02674i −0.784106 + 0.359687i
\(499\) 3.38889 + 12.6475i 0.151708 + 0.566181i 0.999365 + 0.0356364i \(0.0113458\pi\)
−0.847657 + 0.530544i \(0.821988\pi\)
\(500\) −22.7270 7.89441i −1.01638 0.353049i
\(501\) −0.369267 0.414172i −0.0164976 0.0185039i
\(502\) −22.2469 + 5.10440i −0.992928 + 0.227820i
\(503\) 2.93881i 0.131035i −0.997851 0.0655175i \(-0.979130\pi\)
0.997851 0.0655175i \(-0.0208698\pi\)
\(504\) 34.6609 + 7.87071i 1.54392 + 0.350589i
\(505\) 4.99373i 0.222218i
\(506\) −0.710860 3.09820i −0.0316016 0.137732i
\(507\) −2.45317 + 0.508897i −0.108949 + 0.0226009i
\(508\) 1.46896 + 3.03261i 0.0651744 + 0.134550i
\(509\) 4.11461 + 15.3559i 0.182377 + 0.680640i 0.995177 + 0.0980972i \(0.0312756\pi\)
−0.812800 + 0.582543i \(0.802058\pi\)
\(510\) 5.04553 7.11077i 0.223420 0.314870i
\(511\) 17.1038 + 29.6246i 0.756627 + 1.31052i
\(512\) 21.4332 + 7.25389i 0.947222 + 0.320580i
\(513\) −7.46884 1.29566i −0.329757 0.0572048i
\(514\) −1.23228 2.32517i −0.0543535 0.102559i
\(515\) 2.31418 + 0.620083i 0.101975 + 0.0273241i
\(516\) −37.7980 4.93299i −1.66397 0.217163i
\(517\) −42.7772 + 11.4621i −1.88134 + 0.504103i
\(518\) 4.46754 4.15476i 0.196293 0.182550i
\(519\) −17.5243 11.5027i −0.769230 0.504914i
\(520\) 6.44051 + 14.6252i 0.282435 + 0.641356i
\(521\) 19.2119i 0.841689i 0.907133 + 0.420844i \(0.138266\pi\)
−0.907133 + 0.420844i \(0.861734\pi\)
\(522\) −28.6006 + 3.18859i −1.25181 + 0.139561i
\(523\) −10.0495 10.0495i −0.439436 0.439436i 0.452386 0.891822i \(-0.350573\pi\)
−0.891822 + 0.452386i \(0.850573\pi\)
\(524\) 11.5355 9.97293i 0.503929 0.435669i
\(525\) 12.1144 10.8009i 0.528716 0.471392i
\(526\) −0.00245585 + 0.0676988i −0.000107080 + 0.00295181i
\(527\) −6.81087 + 11.7968i −0.296686 + 0.513875i
\(528\) −10.4930 31.5261i −0.456650 1.37200i
\(529\) −11.3902 19.7284i −0.495225 0.857755i
\(530\) 3.46296 1.83528i 0.150422 0.0797196i
\(531\) −4.28034 1.69133i −0.185751 0.0733976i
\(532\) −12.0034 + 2.29952i −0.520413 + 0.0996967i
\(533\) 2.56346 9.56697i 0.111036 0.414392i
\(534\) 17.4977 + 21.1196i 0.757201 + 0.913936i
\(535\) −11.9217 6.88297i −0.515418 0.297577i
\(536\) 4.38500 + 28.4326i 0.189403 + 1.22810i
\(537\) −40.8662 + 20.5710i −1.76351 + 0.887705i
\(538\) −6.51581 28.3984i −0.280916 1.22434i
\(539\) −35.7637 35.7637i −1.54045 1.54045i
\(540\) 4.17802 16.7614i 0.179794 0.721296i
\(541\) 15.3802 15.3802i 0.661246 0.661246i −0.294428 0.955674i \(-0.595129\pi\)
0.955674 + 0.294428i \(0.0951290\pi\)
\(542\) 11.8519 18.9101i 0.509084 0.812257i
\(543\) −4.52133 8.98205i −0.194029 0.385457i
\(544\) 4.06599 + 11.4109i 0.174328 + 0.489239i
\(545\) 2.41243 4.17844i 0.103337 0.178985i
\(546\) −34.7234 3.25667i −1.48602 0.139373i
\(547\) −23.1362 6.19933i −0.989233 0.265064i −0.272304 0.962211i \(-0.587786\pi\)
−0.716928 + 0.697147i \(0.754452\pi\)
\(548\) −15.8009 10.7202i −0.674981 0.457944i
\(549\) 14.5435 + 18.3237i 0.620702 + 0.782036i
\(550\) −14.5033 4.45558i −0.618423 0.189986i
\(551\) 8.56961 4.94767i 0.365078 0.210778i
\(552\) 1.33288 + 1.86954i 0.0567312 + 0.0795728i
\(553\) 26.3412 + 15.2081i 1.12014 + 0.646714i
\(554\) −7.19265 7.73414i −0.305587 0.328592i
\(555\) −1.97321 2.21317i −0.0837583 0.0939438i
\(556\) 18.9155 + 21.8792i 0.802197 + 0.927883i
\(557\) 0.932077 0.932077i 0.0394934 0.0394934i −0.687084 0.726578i \(-0.741110\pi\)
0.726578 + 0.687084i \(0.241110\pi\)
\(558\) −4.05358 + 26.6816i −0.171602 + 1.12952i
\(559\) 37.4027 1.58197
\(560\) −3.24445 27.6613i −0.137103 1.16890i
\(561\) 9.76092 14.8706i 0.412106 0.627838i
\(562\) 0.345986 9.53759i 0.0145945 0.402319i
\(563\) −1.71390 6.39635i −0.0722321 0.269574i 0.920359 0.391074i \(-0.127896\pi\)
−0.992591 + 0.121500i \(0.961230\pi\)
\(564\) 25.3564 19.5019i 1.06770 0.821180i
\(565\) 3.55121 13.2533i 0.149400 0.557570i
\(566\) −5.34926 + 17.4123i −0.224846 + 0.731893i
\(567\) 27.5167 + 25.7695i 1.15559 + 1.08222i
\(568\) 2.54213 23.2771i 0.106665 0.976685i
\(569\) 7.84553 4.52962i 0.328902 0.189892i −0.326452 0.945214i \(-0.605853\pi\)
0.655353 + 0.755322i \(0.272520\pi\)
\(570\) 0.994864 + 5.85591i 0.0416703 + 0.245277i
\(571\) −17.9078 + 4.79838i −0.749417 + 0.200806i −0.613260 0.789881i \(-0.710142\pi\)
−0.136158 + 0.990687i \(0.543475\pi\)
\(572\) 14.2126 + 29.3415i 0.594259 + 1.22683i
\(573\) −6.05192 29.1736i −0.252823 1.21874i
\(574\) −9.16703 + 14.6262i −0.382625 + 0.610487i
\(575\) 1.04844 0.0437230
\(576\) 15.7371 + 18.1203i 0.655713 + 0.755011i
\(577\) 43.3455 1.80450 0.902248 0.431217i \(-0.141916\pi\)
0.902248 + 0.431217i \(0.141916\pi\)
\(578\) 9.32368 14.8762i 0.387814 0.618767i
\(579\) −23.7223 + 21.1502i −0.985863 + 0.878974i
\(580\) 9.83019 + 20.2941i 0.408177 + 0.842668i
\(581\) −31.7993 + 8.52060i −1.31926 + 0.353494i
\(582\) −26.0770 9.67623i −1.08093 0.401093i
\(583\) 6.92456 3.99790i 0.286786 0.165576i
\(584\) −2.50767 + 22.9616i −0.103768 + 0.950156i
\(585\) −1.93670 + 16.8389i −0.0800727 + 0.696201i
\(586\) −5.96717 + 19.4236i −0.246501 + 0.802383i
\(587\) −6.81553 + 25.4359i −0.281307 + 1.04985i 0.670189 + 0.742191i \(0.266213\pi\)
−0.951496 + 0.307662i \(0.900453\pi\)
\(588\) 33.7677 + 13.9426i 1.39256 + 0.574983i
\(589\) −2.40180 8.96364i −0.0989645 0.369341i
\(590\) −0.130737 + 3.60395i −0.00538236 + 0.148372i
\(591\) −9.69660 19.2632i −0.398865 0.792382i
\(592\) 4.09148 0.479899i 0.168159 0.0197237i
\(593\) 41.9274 1.72175 0.860876 0.508814i \(-0.169916\pi\)
0.860876 + 0.508814i \(0.169916\pi\)
\(594\) 7.27849 34.4822i 0.298640 1.41482i
\(595\) 10.5430 10.5430i 0.432222 0.432222i
\(596\) 2.25129 + 2.60402i 0.0922164 + 0.106665i
\(597\) 5.44797 16.4920i 0.222971 0.674972i
\(598\) −1.53425 1.64975i −0.0627401 0.0674634i
\(599\) −21.1742 12.2249i −0.865154 0.499497i 0.000580933 1.00000i \(-0.499815\pi\)
−0.865735 + 0.500503i \(0.833148\pi\)
\(600\) 10.9090 1.04789i 0.445356 0.0427798i
\(601\) 24.7521 14.2906i 1.00966 0.582928i 0.0985682 0.995130i \(-0.468574\pi\)
0.911092 + 0.412203i \(0.135240\pi\)
\(602\) −62.3115 19.1428i −2.53963 0.780202i
\(603\) −11.2136 + 28.3787i −0.456652 + 1.15567i
\(604\) −35.3686 23.9960i −1.43913 0.976383i
\(605\) 19.2669 + 5.16255i 0.783310 + 0.209887i
\(606\) −3.06826 6.68872i −0.124640 0.271711i
\(607\) −9.32245 + 16.1470i −0.378387 + 0.655385i −0.990828 0.135131i \(-0.956854\pi\)
0.612441 + 0.790516i \(0.290188\pi\)
\(608\) −7.45551 3.53819i −0.302361 0.143492i
\(609\) −49.1315 2.81612i −1.99091 0.114115i
\(610\) 9.73492 15.5323i 0.394155 0.628885i
\(611\) −22.1946 + 22.1946i −0.897896 + 0.897896i
\(612\) −2.38908 + 12.6244i −0.0965729 + 0.510312i
\(613\) −13.3177 13.3177i −0.537896 0.537896i 0.385014 0.922911i \(-0.374196\pi\)
−0.922911 + 0.385014i \(0.874196\pi\)
\(614\) 5.47424 + 23.8588i 0.220922 + 0.962864i
\(615\) 7.01335 + 4.60349i 0.282806 + 0.185631i
\(616\) −8.66061 56.1559i −0.348946 2.26258i
\(617\) −15.1035 8.72003i −0.608045 0.351055i 0.164155 0.986435i \(-0.447510\pi\)
−0.772200 + 0.635379i \(0.780844\pi\)
\(618\) −3.48067 + 0.591333i −0.140013 + 0.0237869i
\(619\) 5.84959 21.8310i 0.235115 0.877461i −0.742982 0.669311i \(-0.766589\pi\)
0.978097 0.208150i \(-0.0667441\pi\)
\(620\) 20.7693 3.97883i 0.834117 0.159794i
\(621\) 0.218963 + 2.42544i 0.00878667 + 0.0973297i
\(622\) 1.07174 0.567995i 0.0429729 0.0227745i
\(623\) 23.4506 + 40.6177i 0.939530 + 1.62731i
\(624\) −17.6126 15.6321i −0.705070 0.625786i
\(625\) −4.40527 + 7.63015i −0.176211 + 0.305206i
\(626\) 0.941180 25.9449i 0.0376171 1.03697i
\(627\) 2.46143 + 11.8655i 0.0983001 + 0.473861i
\(628\) 16.0492 13.8753i 0.640433 0.553683i
\(629\) 1.55946 + 1.55946i 0.0621797 + 0.0621797i
\(630\) 11.8446 27.0617i 0.471902 1.07816i
\(631\) 19.8510i 0.790254i −0.918627 0.395127i \(-0.870701\pi\)
0.918627 0.395127i \(-0.129299\pi\)
\(632\) 8.27732 + 18.7962i 0.329254 + 0.747673i
\(633\) −1.97096 + 34.3865i −0.0783387 + 1.36674i
\(634\) 4.31682 4.01459i 0.171443 0.159440i
\(635\) 2.70512 0.724836i 0.107350 0.0287642i
\(636\) −3.51074 + 4.58595i −0.139210 + 0.181845i
\(637\) −34.6254 9.27785i −1.37191 0.367602i
\(638\) 21.5428 + 40.6487i 0.852886 + 1.60930i
\(639\) 14.7942 19.9488i 0.585249 0.789161i
\(640\) 9.27269 16.3608i 0.366535 0.646719i
\(641\) 20.5842 + 35.6529i 0.813026 + 1.40820i 0.910736 + 0.412988i \(0.135515\pi\)
−0.0977099 + 0.995215i \(0.531152\pi\)
\(642\) 20.1972 + 1.89428i 0.797121 + 0.0747612i
\(643\) 6.73128 + 25.1215i 0.265456 + 0.990694i 0.961971 + 0.273152i \(0.0880662\pi\)
−0.696515 + 0.717542i \(0.745267\pi\)
\(644\) 1.71165 + 3.53366i 0.0674486 + 0.139246i
\(645\) −9.93726 + 30.0818i −0.391279 + 1.18447i
\(646\) −0.988006 4.30611i −0.0388726 0.169422i
\(647\) 40.3426i 1.58603i 0.609201 + 0.793016i \(0.291490\pi\)
−0.609201 + 0.793016i \(0.708510\pi\)
\(648\) 4.70245 + 25.0177i 0.184730 + 0.982789i
\(649\) 7.35741i 0.288803i
\(650\) −10.4810 + 2.40479i −0.411099 + 0.0943238i
\(651\) −14.4762 + 43.8220i −0.567367 + 1.71752i
\(652\) 9.28783 + 3.22621i 0.363740 + 0.126348i
\(653\) 1.68547 + 6.29024i 0.0659574 + 0.246156i 0.991031 0.133631i \(-0.0426638\pi\)
−0.925074 + 0.379787i \(0.875997\pi\)
\(654\) −0.663929 + 7.07897i −0.0259617 + 0.276809i
\(655\) −6.33671 10.9755i −0.247596 0.428849i
\(656\) −10.8303 + 4.30768i −0.422854 + 0.168187i
\(657\) −14.5937 + 19.6784i −0.569353 + 0.767726i
\(658\) 48.3345 25.6161i 1.88428 0.998618i
\(659\) 0.0887093 + 0.0237696i 0.00345562 + 0.000925932i 0.260546 0.965461i \(-0.416097\pi\)
−0.257091 + 0.966387i \(0.582764\pi\)
\(660\) −27.3745 + 3.63523i −1.06555 + 0.141501i
\(661\) 27.0157 7.23883i 1.05079 0.281558i 0.308211 0.951318i \(-0.400270\pi\)
0.742578 + 0.669760i \(0.233603\pi\)
\(662\) 4.97638 + 5.35102i 0.193413 + 0.207973i
\(663\) 0.721435 12.5865i 0.0280182 0.488821i
\(664\) −20.7204 8.05052i −0.804109 0.312421i
\(665\) 10.1575i 0.393892i
\(666\) 4.00280 + 1.75199i 0.155105 + 0.0678881i
\(667\) −2.24790 2.24790i −0.0870392 0.0870392i
\(668\) 0.0464249 0.639041i 0.00179623 0.0247253i
\(669\) 4.90140 + 23.6274i 0.189499 + 0.913490i
\(670\) 23.8942 + 0.866788i 0.923114 + 0.0334870i
\(671\) 18.6988 32.3873i 0.721859 1.25030i
\(672\) 21.3414 + 35.0567i 0.823264 + 1.35234i
\(673\) 2.48158 + 4.29822i 0.0956578 + 0.165684i 0.909883 0.414865i \(-0.136171\pi\)
−0.814225 + 0.580549i \(0.802838\pi\)
\(674\) 2.57959 + 4.86739i 0.0993622 + 0.187485i
\(675\) 10.5484 + 4.88333i 0.406009 + 0.187959i
\(676\) −2.39400 1.62422i −0.0920769 0.0624700i
\(677\) 1.77876 6.63841i 0.0683632 0.255135i −0.923283 0.384119i \(-0.874505\pi\)
0.991647 + 0.128985i \(0.0411718\pi\)
\(678\) 3.38655 + 19.9337i 0.130060 + 0.765550i
\(679\) −41.1923 23.7824i −1.58081 0.912683i
\(680\) 9.95015 1.53456i 0.381571 0.0588476i
\(681\) 10.9745 + 7.20357i 0.420545 + 0.276041i
\(682\) 42.0503 9.64814i 1.61019 0.369447i
\(683\) 20.7192 + 20.7192i 0.792797 + 0.792797i 0.981948 0.189151i \(-0.0605737\pi\)
−0.189151 + 0.981948i \(0.560574\pi\)
\(684\) −4.93056 7.23229i −0.188525 0.276533i
\(685\) −11.2214 + 11.2214i −0.428747 + 0.428747i
\(686\) 17.7998 + 11.1561i 0.679601 + 0.425942i
\(687\) 33.0540 + 1.89459i 1.26109 + 0.0722831i
\(688\) −26.2985 35.2953i −1.00262 1.34562i
\(689\) 2.83351 4.90779i 0.107948 0.186972i
\(690\) 1.73447 0.795638i 0.0660301 0.0302894i
\(691\) −5.31450 1.42402i −0.202173 0.0541721i 0.156311 0.987708i \(-0.450040\pi\)
−0.358484 + 0.933536i \(0.616706\pi\)
\(692\) −4.55420 23.7727i −0.173125 0.903704i
\(693\) 22.1474 56.0494i 0.841310 2.12914i
\(694\) 1.31056 4.26598i 0.0497481 0.161934i
\(695\) 20.8171 12.0188i 0.789638 0.455898i
\(696\) −25.6360 21.1426i −0.971731 0.801407i
\(697\) −5.40388 3.11993i −0.204687 0.118176i
\(698\) −1.49983 + 1.39483i −0.0567695 + 0.0527949i
\(699\) 5.84834 17.7040i 0.221205 0.669626i
\(700\) 18.6918 + 1.35791i 0.706482 + 0.0513243i
\(701\) −1.06232 + 1.06232i −0.0401233 + 0.0401233i −0.726884 0.686760i \(-0.759032\pi\)
0.686760 + 0.726884i \(0.259032\pi\)
\(702\) −7.75213 23.7443i −0.292585 0.896173i
\(703\) −1.50244 −0.0566656
\(704\) 17.6951 34.0423i 0.666910 1.28302i
\(705\) −11.9537 23.7471i −0.450202 0.894368i
\(706\) −21.8746 0.793524i −0.823261 0.0298647i
\(707\) −3.25705 12.1555i −0.122494 0.457153i
\(708\) −2.03924 4.90755i −0.0766393 0.184437i
\(709\) −9.50159 + 35.4604i −0.356840 + 1.33174i 0.521314 + 0.853365i \(0.325442\pi\)
−0.878153 + 0.478379i \(0.841224\pi\)
\(710\) −18.6028 5.71498i −0.698149 0.214479i
\(711\) −2.48904 + 21.6412i −0.0933463 + 0.811609i
\(712\) −3.43821 + 31.4821i −0.128853 + 1.17984i
\(713\) −2.58187 + 1.49064i −0.0966916 + 0.0558249i
\(714\) −7.64371 + 20.5995i −0.286059 + 0.770916i
\(715\) 26.1729 7.01301i 0.978812 0.262272i
\(716\) −49.9045 17.3348i −1.86502 0.647830i
\(717\) 28.8116 25.6878i 1.07599 0.959328i
\(718\) −5.73718 3.59580i −0.214110 0.134194i
\(719\) −7.37513 −0.275046 −0.137523 0.990499i \(-0.543914\pi\)
−0.137523 + 0.990499i \(0.543914\pi\)
\(720\) 17.2518 10.0121i 0.642937 0.373130i
\(721\) −6.03749 −0.224848
\(722\) −20.2175 12.6714i −0.752419 0.471581i
\(723\) −9.65981 46.5656i −0.359252 1.73179i
\(724\) 3.81003 10.9686i 0.141599 0.407644i
\(725\) −14.6567 + 3.92726i −0.544337 + 0.145855i
\(726\) −28.9785 + 4.92319i −1.07549 + 0.182717i
\(727\) 5.80127 3.34936i 0.215157 0.124221i −0.388549 0.921428i \(-0.627023\pi\)
0.603706 + 0.797207i \(0.293690\pi\)
\(728\) −25.2161 31.3991i −0.934571 1.16373i
\(729\) −9.09400 + 25.4224i −0.336815 + 0.941571i
\(730\) 18.3506 + 5.63751i 0.679186 + 0.208654i
\(731\) 6.09879 22.7610i 0.225572 0.841846i
\(732\) −3.49578 + 26.7857i −0.129208 + 0.990029i
\(733\) −9.28281 34.6439i −0.342868 1.27960i −0.895083 0.445900i \(-0.852884\pi\)
0.552214 0.833702i \(-0.313783\pi\)
\(734\) 28.0906 + 1.01902i 1.03684 + 0.0376126i
\(735\) 16.6613 25.3832i 0.614560 0.936272i
\(736\) −0.478040 + 2.60777i −0.0176208 + 0.0961238i
\(737\) 48.7797 1.79682
\(738\) −12.2224 1.85687i −0.449911 0.0683522i
\(739\) 4.01107 4.01107i 0.147549 0.147549i −0.629473 0.777022i \(-0.716729\pi\)
0.777022 + 0.629473i \(0.216729\pi\)
\(740\) 0.248076 3.41478i 0.00911945 0.125530i
\(741\) 5.71564 + 6.41070i 0.209969 + 0.235503i
\(742\) −7.23234 + 6.72599i −0.265508 + 0.246919i
\(743\) 19.1551 + 11.0592i 0.702734 + 0.405724i 0.808365 0.588682i \(-0.200353\pi\)
−0.105631 + 0.994405i \(0.533686\pi\)
\(744\) −25.3743 + 18.0905i −0.930267 + 0.663231i
\(745\) 2.47761 1.43045i 0.0907726 0.0524076i
\(746\) 0.183846 0.598434i 0.00673107 0.0219102i
\(747\) −14.6579 18.4678i −0.536305 0.675703i
\(748\) 20.1729 3.86457i 0.737594 0.141303i
\(749\) 33.5083 + 8.97853i 1.22437 + 0.328068i
\(750\) 2.75153 29.3374i 0.100472 1.07125i
\(751\) −6.05672 + 10.4905i −0.221013 + 0.382805i −0.955116 0.296233i \(-0.904270\pi\)
0.734103 + 0.679038i \(0.237603\pi\)
\(752\) 36.5494 + 5.33864i 1.33282 + 0.194680i
\(753\) −12.5691 24.9697i −0.458044 0.909947i
\(754\) 27.6278 + 17.3158i 1.00614 + 0.630603i
\(755\) −25.1178 + 25.1178i −0.914131 + 0.914131i
\(756\) 0.762331 + 43.5247i 0.0277257 + 1.58298i
\(757\) −19.9365 19.9365i −0.724604 0.724604i 0.244935 0.969539i \(-0.421233\pi\)
−0.969539 + 0.244935i \(0.921233\pi\)
\(758\) 12.0495 2.76468i 0.437659 0.100418i
\(759\) 3.47739 1.75043i 0.126221 0.0635366i
\(760\) −4.05395 + 5.53240i −0.147052 + 0.200681i
\(761\) −37.1681 21.4590i −1.34734 0.777889i −0.359471 0.933156i \(-0.617043\pi\)
−0.987873 + 0.155267i \(0.950376\pi\)
\(762\) −3.17796 + 2.63296i −0.115125 + 0.0953819i
\(763\) −3.14690 + 11.7444i −0.113925 + 0.425176i
\(764\) 19.3156 28.4700i 0.698814 1.03001i
\(765\) 9.93130 + 3.92426i 0.359067 + 0.141882i
\(766\) 8.56555 + 16.1622i 0.309486 + 0.583964i
\(767\) 2.60728 + 4.51595i 0.0941435 + 0.163061i
\(768\) −2.36759 + 27.6115i −0.0854329 + 0.996344i
\(769\) −13.7618 + 23.8361i −0.496263 + 0.859553i −0.999991 0.00430961i \(-0.998628\pi\)
0.503728 + 0.863863i \(0.331962\pi\)
\(770\) −47.1924 1.71195i −1.70070 0.0616945i
\(771\) 2.40564 2.14482i 0.0866371 0.0772438i
\(772\) −36.6019 2.65905i −1.31733 0.0957011i
\(773\) −11.4688