Properties

Label 300.2.r.a.119.50
Level $300$
Weight $2$
Character 300.119
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 119.50
Character \(\chi\) \(=\) 300.119
Dual form 300.2.r.a.179.50

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29139 - 0.576465i) q^{2} +(-1.32930 - 1.11038i) q^{3} +(1.33538 - 1.48888i) q^{4} +(1.53346 + 1.62742i) q^{5} +(-2.35675 - 0.667638i) q^{6} +2.22039 q^{7} +(0.866201 - 2.69253i) q^{8} +(0.534103 + 2.95207i) q^{9} +O(q^{10})\) \(q+(1.29139 - 0.576465i) q^{2} +(-1.32930 - 1.11038i) q^{3} +(1.33538 - 1.48888i) q^{4} +(1.53346 + 1.62742i) q^{5} +(-2.35675 - 0.667638i) q^{6} +2.22039 q^{7} +(0.866201 - 2.69253i) q^{8} +(0.534103 + 2.95207i) q^{9} +(2.91845 + 1.21765i) q^{10} +(-0.989133 - 3.04424i) q^{11} +(-3.42835 + 0.496402i) q^{12} +(2.10285 + 0.683258i) q^{13} +(2.86739 - 1.27998i) q^{14} +(-0.231371 - 3.86607i) q^{15} +(-0.433545 - 3.97644i) q^{16} +(-6.14912 - 4.46760i) q^{17} +(2.39150 + 3.50439i) q^{18} +(-1.90735 + 2.62524i) q^{19} +(4.47078 - 0.109918i) q^{20} +(-2.95158 - 2.46548i) q^{21} +(-3.03225 - 3.36110i) q^{22} +(-0.789888 + 0.256650i) q^{23} +(-4.14118 + 2.61737i) q^{24} +(-0.297014 + 4.99117i) q^{25} +(3.10948 - 0.329869i) q^{26} +(2.56794 - 4.51726i) q^{27} +(2.96505 - 3.30590i) q^{28} +(5.45935 + 7.51416i) q^{29} +(-2.52744 - 4.85922i) q^{30} +(-2.79198 + 3.84283i) q^{31} +(-2.85215 - 4.88520i) q^{32} +(-2.06541 + 5.14504i) q^{33} +(-10.5163 - 2.22466i) q^{34} +(3.40487 + 3.61352i) q^{35} +(5.10852 + 3.14691i) q^{36} +(6.83181 + 2.21979i) q^{37} +(-0.949771 + 4.48973i) q^{38} +(-2.03665 - 3.24323i) q^{39} +(5.71016 - 2.71920i) q^{40} +(-6.82637 - 2.21802i) q^{41} +(-5.23290 - 1.48242i) q^{42} +2.43300 q^{43} +(-5.85338 - 2.59250i) q^{44} +(-3.98525 + 5.39609i) q^{45} +(-0.872104 + 0.786779i) q^{46} +(2.58503 + 3.55799i) q^{47} +(-3.83905 + 5.76730i) q^{48} -2.06987 q^{49} +(2.49368 + 6.61677i) q^{50} +(3.21332 + 12.7667i) q^{51} +(3.82539 - 2.21849i) q^{52} +(3.58063 - 2.60148i) q^{53} +(0.712170 - 7.31388i) q^{54} +(3.43747 - 6.27795i) q^{55} +(1.92330 - 5.97846i) q^{56} +(5.45047 - 1.37186i) q^{57} +(11.3818 + 6.55658i) q^{58} +(-3.60315 + 11.0894i) q^{59} +(-6.06509 - 4.81817i) q^{60} +(-0.275427 - 0.847677i) q^{61} +(-1.39028 + 6.57208i) q^{62} +(1.18592 + 6.55475i) q^{63} +(-6.49939 - 4.66454i) q^{64} +(2.11268 + 4.46998i) q^{65} +(0.298687 + 7.83488i) q^{66} +(-8.14207 - 5.91556i) q^{67} +(-14.8631 + 3.18940i) q^{68} +(1.33498 + 0.535911i) q^{69} +(6.48009 + 2.70366i) q^{70} +(-10.5298 + 7.65032i) q^{71} +(8.41117 + 1.11900i) q^{72} +(2.71078 - 0.880786i) q^{73} +(10.1022 - 1.07169i) q^{74} +(5.93693 - 6.30499i) q^{75} +(1.36165 + 6.34550i) q^{76} +(-2.19626 - 6.75940i) q^{77} +(-4.49972 - 3.01421i) q^{78} +(0.510481 + 0.702616i) q^{79} +(5.80652 - 6.80326i) q^{80} +(-8.42947 + 3.15342i) q^{81} +(-10.0941 + 1.07084i) q^{82} +(-3.39942 + 4.67890i) q^{83} +(-7.61228 + 1.10221i) q^{84} +(-2.15874 - 16.8581i) q^{85} +(3.14195 - 1.40254i) q^{86} +(1.08644 - 16.0506i) q^{87} +(-9.05348 + 0.0263443i) q^{88} +(2.71552 - 0.882325i) q^{89} +(-2.03585 + 9.26581i) q^{90} +(4.66915 + 1.51710i) q^{91} +(-0.672675 + 1.51878i) q^{92} +(7.97841 - 2.00813i) q^{93} +(5.38935 + 3.10457i) q^{94} +(-7.19722 + 0.921632i) q^{95} +(-1.63306 + 9.66091i) q^{96} +(-4.87651 - 6.71194i) q^{97} +(-2.67301 + 1.19321i) q^{98} +(8.45851 - 4.54593i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29139 0.576465i 0.913151 0.407623i
\(3\) −1.32930 1.11038i −0.767475 0.641079i
\(4\) 1.33538 1.48888i 0.667688 0.744441i
\(5\) 1.53346 + 1.62742i 0.685783 + 0.727806i
\(6\) −2.35675 0.667638i −0.962138 0.272562i
\(7\) 2.22039 0.839229 0.419614 0.907702i \(-0.362165\pi\)
0.419614 + 0.907702i \(0.362165\pi\)
\(8\) 0.866201 2.69253i 0.306248 0.951952i
\(9\) 0.534103 + 2.95207i 0.178034 + 0.984024i
\(10\) 2.91845 + 1.21765i 0.922893 + 0.385056i
\(11\) −0.989133 3.04424i −0.298235 0.917872i −0.982116 0.188279i \(-0.939709\pi\)
0.683881 0.729594i \(-0.260291\pi\)
\(12\) −3.42835 + 0.496402i −0.989679 + 0.143299i
\(13\) 2.10285 + 0.683258i 0.583226 + 0.189502i 0.585745 0.810495i \(-0.300802\pi\)
−0.00251920 + 0.999997i \(0.500802\pi\)
\(14\) 2.86739 1.27998i 0.766342 0.342089i
\(15\) −0.231371 3.86607i −0.0597398 0.998214i
\(16\) −0.433545 3.97644i −0.108386 0.994109i
\(17\) −6.14912 4.46760i −1.49138 1.08355i −0.973661 0.228002i \(-0.926781\pi\)
−0.517720 0.855550i \(-0.673219\pi\)
\(18\) 2.39150 + 3.50439i 0.563683 + 0.825991i
\(19\) −1.90735 + 2.62524i −0.437576 + 0.602272i −0.969671 0.244413i \(-0.921405\pi\)
0.532095 + 0.846684i \(0.321405\pi\)
\(20\) 4.47078 0.109918i 0.999698 0.0245784i
\(21\) −2.95158 2.46548i −0.644087 0.538012i
\(22\) −3.03225 3.36110i −0.646479 0.716588i
\(23\) −0.789888 + 0.256650i −0.164703 + 0.0535153i −0.390208 0.920727i \(-0.627597\pi\)
0.225505 + 0.974242i \(0.427597\pi\)
\(24\) −4.14118 + 2.61737i −0.845314 + 0.534269i
\(25\) −0.297014 + 4.99117i −0.0594028 + 0.998234i
\(26\) 3.10948 0.329869i 0.609818 0.0646926i
\(27\) 2.56794 4.51726i 0.494201 0.869348i
\(28\) 2.96505 3.30590i 0.560343 0.624757i
\(29\) 5.45935 + 7.51416i 1.01378 + 1.39534i 0.916476 + 0.400089i \(0.131021\pi\)
0.0973003 + 0.995255i \(0.468979\pi\)
\(30\) −2.52744 4.85922i −0.461446 0.887168i
\(31\) −2.79198 + 3.84283i −0.501455 + 0.690193i −0.982449 0.186531i \(-0.940276\pi\)
0.480995 + 0.876724i \(0.340276\pi\)
\(32\) −2.85215 4.88520i −0.504194 0.863590i
\(33\) −2.06541 + 5.14504i −0.359541 + 0.895636i
\(34\) −10.5163 2.22466i −1.80354 0.381525i
\(35\) 3.40487 + 3.61352i 0.575529 + 0.610796i
\(36\) 5.10852 + 3.14691i 0.851420 + 0.524485i
\(37\) 6.83181 + 2.21979i 1.12314 + 0.364931i 0.810966 0.585093i \(-0.198942\pi\)
0.312176 + 0.950024i \(0.398942\pi\)
\(38\) −0.949771 + 4.48973i −0.154073 + 0.728331i
\(39\) −2.03665 3.24323i −0.326126 0.519332i
\(40\) 5.71016 2.71920i 0.902856 0.429943i
\(41\) −6.82637 2.21802i −1.06610 0.346397i −0.277133 0.960832i \(-0.589384\pi\)
−0.788968 + 0.614435i \(0.789384\pi\)
\(42\) −5.23290 1.48242i −0.807454 0.228742i
\(43\) 2.43300 0.371029 0.185514 0.982642i \(-0.440605\pi\)
0.185514 + 0.982642i \(0.440605\pi\)
\(44\) −5.85338 2.59250i −0.882430 0.390834i
\(45\) −3.98525 + 5.39609i −0.594086 + 0.804402i
\(46\) −0.872104 + 0.786779i −0.128585 + 0.116004i
\(47\) 2.58503 + 3.55799i 0.377066 + 0.518987i 0.954804 0.297235i \(-0.0960646\pi\)
−0.577738 + 0.816222i \(0.696065\pi\)
\(48\) −3.83905 + 5.76730i −0.554119 + 0.832437i
\(49\) −2.06987 −0.295695
\(50\) 2.49368 + 6.61677i 0.352659 + 0.935752i
\(51\) 3.21332 + 12.7667i 0.449954 + 1.78769i
\(52\) 3.82539 2.21849i 0.530486 0.307650i
\(53\) 3.58063 2.60148i 0.491838 0.357341i −0.314053 0.949406i \(-0.601687\pi\)
0.805891 + 0.592064i \(0.201687\pi\)
\(54\) 0.712170 7.31388i 0.0969141 0.995293i
\(55\) 3.43747 6.27795i 0.463508 0.846518i
\(56\) 1.92330 5.97846i 0.257012 0.798905i
\(57\) 5.45047 1.37186i 0.721932 0.181707i
\(58\) 11.3818 + 6.55658i 1.49450 + 0.860921i
\(59\) −3.60315 + 11.0894i −0.469090 + 1.44371i 0.384674 + 0.923052i \(0.374314\pi\)
−0.853765 + 0.520659i \(0.825686\pi\)
\(60\) −6.06509 4.81817i −0.782999 0.622022i
\(61\) −0.275427 0.847677i −0.0352648 0.108534i 0.931875 0.362781i \(-0.118173\pi\)
−0.967139 + 0.254247i \(0.918173\pi\)
\(62\) −1.39028 + 6.57208i −0.176565 + 0.834654i
\(63\) 1.18592 + 6.55475i 0.149412 + 0.825821i
\(64\) −6.49939 4.66454i −0.812424 0.583067i
\(65\) 2.11268 + 4.46998i 0.262046 + 0.554432i
\(66\) 0.298687 + 7.83488i 0.0367659 + 0.964407i
\(67\) −8.14207 5.91556i −0.994713 0.722701i −0.0337647 0.999430i \(-0.510750\pi\)
−0.960948 + 0.276729i \(0.910750\pi\)
\(68\) −14.8631 + 3.18940i −1.80242 + 0.386772i
\(69\) 1.33498 + 0.535911i 0.160713 + 0.0645162i
\(70\) 6.48009 + 2.70366i 0.774519 + 0.323150i
\(71\) −10.5298 + 7.65032i −1.24965 + 0.907926i −0.998202 0.0599440i \(-0.980908\pi\)
−0.251451 + 0.967870i \(0.580908\pi\)
\(72\) 8.41117 + 1.11900i 0.991266 + 0.131876i
\(73\) 2.71078 0.880786i 0.317273 0.103088i −0.146051 0.989277i \(-0.546656\pi\)
0.463324 + 0.886189i \(0.346656\pi\)
\(74\) 10.1022 1.07169i 1.17435 0.124581i
\(75\) 5.93693 6.30499i 0.685537 0.728037i
\(76\) 1.36165 + 6.34550i 0.156192 + 0.727879i
\(77\) −2.19626 6.75940i −0.250287 0.770305i
\(78\) −4.49972 3.01421i −0.509493 0.341292i
\(79\) 0.510481 + 0.702616i 0.0574335 + 0.0790505i 0.836768 0.547558i \(-0.184442\pi\)
−0.779334 + 0.626609i \(0.784442\pi\)
\(80\) 5.80652 6.80326i 0.649189 0.760627i
\(81\) −8.42947 + 3.15342i −0.936608 + 0.350380i
\(82\) −10.0941 + 1.07084i −1.11471 + 0.118254i
\(83\) −3.39942 + 4.67890i −0.373135 + 0.513576i −0.953750 0.300602i \(-0.902812\pi\)
0.580615 + 0.814178i \(0.302812\pi\)
\(84\) −7.61228 + 1.10221i −0.830567 + 0.120261i
\(85\) −2.15874 16.8581i −0.234149 1.82852i
\(86\) 3.14195 1.40254i 0.338805 0.151240i
\(87\) 1.08644 16.0506i 0.116478 1.72080i
\(88\) −9.05348 + 0.0263443i −0.965104 + 0.00280831i
\(89\) 2.71552 0.882325i 0.287844 0.0935262i −0.161536 0.986867i \(-0.551645\pi\)
0.449380 + 0.893341i \(0.351645\pi\)
\(90\) −2.03585 + 9.26581i −0.214597 + 0.976703i
\(91\) 4.66915 + 1.51710i 0.489460 + 0.159035i
\(92\) −0.672675 + 1.51878i −0.0701312 + 0.158343i
\(93\) 7.97841 2.00813i 0.827322 0.208233i
\(94\) 5.38935 + 3.10457i 0.555869 + 0.320212i
\(95\) −7.19722 + 0.921632i −0.738419 + 0.0945574i
\(96\) −1.63306 + 9.66091i −0.166674 + 0.986012i
\(97\) −4.87651 6.71194i −0.495134 0.681494i 0.486190 0.873853i \(-0.338386\pi\)
−0.981325 + 0.192359i \(0.938386\pi\)
\(98\) −2.67301 + 1.19321i −0.270014 + 0.120532i
\(99\) 8.45851 4.54593i 0.850113 0.456883i
\(100\) 7.03464 + 7.10731i 0.703464 + 0.710731i
\(101\) 6.67602i 0.664289i −0.943229 0.332144i \(-0.892228\pi\)
0.943229 0.332144i \(-0.107772\pi\)
\(102\) 11.5092 + 14.6344i 1.13958 + 1.44902i
\(103\) 2.29801 1.66960i 0.226429 0.164511i −0.468787 0.883311i \(-0.655309\pi\)
0.695216 + 0.718801i \(0.255309\pi\)
\(104\) 3.66118 5.07014i 0.359008 0.497169i
\(105\) −0.513734 8.58418i −0.0501353 0.837730i
\(106\) 3.12433 5.42364i 0.303462 0.526790i
\(107\) 6.85616i 0.662810i −0.943489 0.331405i \(-0.892477\pi\)
0.943489 0.331405i \(-0.107523\pi\)
\(108\) −3.29651 9.85561i −0.317207 0.948356i
\(109\) 2.01162 6.19112i 0.192678 0.593002i −0.807318 0.590117i \(-0.799082\pi\)
0.999996 0.00288497i \(-0.000918315\pi\)
\(110\) 0.820095 10.0889i 0.0781930 0.961935i
\(111\) −6.61674 10.5367i −0.628033 1.00010i
\(112\) −0.962639 8.82924i −0.0909608 0.834285i
\(113\) 1.13448 3.49157i 0.106723 0.328460i −0.883408 0.468605i \(-0.844757\pi\)
0.990131 + 0.140145i \(0.0447569\pi\)
\(114\) 6.24785 4.91361i 0.585165 0.460202i
\(115\) −1.62894 0.891920i −0.151899 0.0831720i
\(116\) 18.4780 + 1.90588i 1.71564 + 0.176957i
\(117\) −0.893888 + 6.57270i −0.0826400 + 0.607646i
\(118\) 1.73956 + 16.3978i 0.160139 + 1.50954i
\(119\) −13.6535 9.91981i −1.25161 0.909348i
\(120\) −10.6099 2.72582i −0.968547 0.248832i
\(121\) 0.610186 0.443326i 0.0554715 0.0403024i
\(122\) −0.844340 0.935908i −0.0764430 0.0847331i
\(123\) 6.61148 + 10.5283i 0.596137 + 0.949306i
\(124\) 1.99318 + 9.28856i 0.178993 + 0.834137i
\(125\) −8.57821 + 7.17038i −0.767258 + 0.641338i
\(126\) 5.31007 + 7.78110i 0.473059 + 0.693196i
\(127\) 4.32343 + 13.3062i 0.383643 + 1.18073i 0.937460 + 0.348093i \(0.113171\pi\)
−0.553818 + 0.832638i \(0.686829\pi\)
\(128\) −11.0822 2.27706i −0.979537 0.201266i
\(129\) −3.23419 2.70156i −0.284755 0.237859i
\(130\) 5.30509 + 4.55459i 0.465287 + 0.399464i
\(131\) 13.7099 + 9.96081i 1.19784 + 0.870280i 0.994070 0.108739i \(-0.0346812\pi\)
0.203768 + 0.979019i \(0.434681\pi\)
\(132\) 4.90226 + 9.94571i 0.426687 + 0.865663i
\(133\) −4.23506 + 5.82906i −0.367226 + 0.505444i
\(134\) −13.9247 2.94567i −1.20291 0.254468i
\(135\) 11.2893 2.74790i 0.971631 0.236502i
\(136\) −17.3555 + 12.6868i −1.48822 + 1.08789i
\(137\) 3.22700 9.93170i 0.275702 0.848522i −0.713331 0.700827i \(-0.752815\pi\)
0.989033 0.147695i \(-0.0471855\pi\)
\(138\) 2.03292 0.0775004i 0.173053 0.00659728i
\(139\) −5.77680 + 1.87699i −0.489981 + 0.159205i −0.543579 0.839358i \(-0.682931\pi\)
0.0535976 + 0.998563i \(0.482931\pi\)
\(140\) 9.92689 0.244061i 0.838975 0.0206269i
\(141\) 0.514435 7.60003i 0.0433232 0.640038i
\(142\) −9.18788 + 15.9496i −0.771030 + 1.33846i
\(143\) 7.07741i 0.591843i
\(144\) 11.5072 3.40368i 0.958931 0.283640i
\(145\) −3.85702 + 20.4073i −0.320308 + 1.69474i
\(146\) 2.99293 2.70011i 0.247697 0.223463i
\(147\) 2.75148 + 2.29834i 0.226939 + 0.189564i
\(148\) 12.4280 7.20751i 1.02158 0.592454i
\(149\) 16.5387i 1.35490i 0.735569 + 0.677450i \(0.236915\pi\)
−0.735569 + 0.677450i \(0.763085\pi\)
\(150\) 4.03228 11.5646i 0.329234 0.944248i
\(151\) 17.2944i 1.40740i −0.710497 0.703700i \(-0.751530\pi\)
0.710497 0.703700i \(-0.248470\pi\)
\(152\) 5.41638 + 7.40958i 0.439327 + 0.600996i
\(153\) 9.90441 20.5388i 0.800724 1.66046i
\(154\) −6.73279 7.46295i −0.542543 0.601381i
\(155\) −10.5353 + 1.34909i −0.846216 + 0.108361i
\(156\) −7.54848 1.29859i −0.604362 0.103970i
\(157\) 2.20994i 0.176373i −0.996104 0.0881864i \(-0.971893\pi\)
0.996104 0.0881864i \(-0.0281071\pi\)
\(158\) 1.06426 + 0.613077i 0.0846682 + 0.0487738i
\(159\) −7.64839 0.517708i −0.606557 0.0410569i
\(160\) 3.57664 12.1329i 0.282758 0.959191i
\(161\) −1.75386 + 0.569864i −0.138224 + 0.0449116i
\(162\) −9.06789 + 8.93159i −0.712441 + 0.701732i
\(163\) 4.38456 13.4943i 0.343425 1.05695i −0.618997 0.785394i \(-0.712461\pi\)
0.962422 0.271560i \(-0.0875394\pi\)
\(164\) −12.4181 + 7.20178i −0.969695 + 0.562364i
\(165\) −11.5404 + 4.52840i −0.898416 + 0.352536i
\(166\) −1.69275 + 8.00193i −0.131383 + 0.621070i
\(167\) −5.17083 + 7.11704i −0.400131 + 0.550733i −0.960777 0.277323i \(-0.910553\pi\)
0.560646 + 0.828056i \(0.310553\pi\)
\(168\) −9.19503 + 5.81159i −0.709412 + 0.448374i
\(169\) −6.56208 4.76763i −0.504775 0.366741i
\(170\) −12.5059 20.5259i −0.959158 1.57427i
\(171\) −8.76863 4.22849i −0.670554 0.323360i
\(172\) 3.24896 3.62245i 0.247731 0.276209i
\(173\) 1.42043 + 4.37163i 0.107993 + 0.332369i 0.990421 0.138079i \(-0.0440926\pi\)
−0.882428 + 0.470447i \(0.844093\pi\)
\(174\) −7.84958 21.3538i −0.595075 1.61883i
\(175\) −0.659487 + 11.0823i −0.0498525 + 0.837747i
\(176\) −11.6764 + 5.25304i −0.880140 + 0.395963i
\(177\) 17.1031 10.7403i 1.28555 0.807288i
\(178\) 2.99816 2.70483i 0.224722 0.202735i
\(179\) 18.5517 13.4786i 1.38662 1.00744i 0.390396 0.920647i \(-0.372338\pi\)
0.996226 0.0867932i \(-0.0276619\pi\)
\(180\) 2.71235 + 13.1394i 0.202166 + 0.979351i
\(181\) −3.35957 2.44087i −0.249715 0.181429i 0.455885 0.890038i \(-0.349323\pi\)
−0.705601 + 0.708610i \(0.749323\pi\)
\(182\) 6.90425 0.732437i 0.511777 0.0542919i
\(183\) −0.575119 + 1.43265i −0.0425140 + 0.105905i
\(184\) 0.00683555 + 2.34911i 0.000503923 + 0.173178i
\(185\) 6.86375 + 14.5222i 0.504633 + 1.06769i
\(186\) 9.14562 7.19255i 0.670589 0.527384i
\(187\) −7.51813 + 23.1384i −0.549780 + 1.69205i
\(188\) 8.74943 + 0.902445i 0.638118 + 0.0658176i
\(189\) 5.70184 10.0301i 0.414748 0.729582i
\(190\) −8.76313 + 5.33913i −0.635744 + 0.387341i
\(191\) 6.31719 19.4423i 0.457095 1.40680i −0.411562 0.911382i \(-0.635017\pi\)
0.868657 0.495413i \(-0.164983\pi\)
\(192\) 3.46026 + 13.4174i 0.249722 + 0.968317i
\(193\) 1.63745i 0.117866i −0.998262 0.0589331i \(-0.981230\pi\)
0.998262 0.0589331i \(-0.0187699\pi\)
\(194\) −10.1667 5.85659i −0.729924 0.420479i
\(195\) 2.15498 8.28785i 0.154321 0.593505i
\(196\) −2.76405 + 3.08179i −0.197432 + 0.220128i
\(197\) 14.8196 10.7671i 1.05585 0.767123i 0.0825379 0.996588i \(-0.473697\pi\)
0.973317 + 0.229464i \(0.0736975\pi\)
\(198\) 8.30267 10.7466i 0.590045 0.763728i
\(199\) 2.93464i 0.208031i 0.994576 + 0.104016i \(0.0331692\pi\)
−0.994576 + 0.104016i \(0.966831\pi\)
\(200\) 13.1816 + 5.12307i 0.932079 + 0.362256i
\(201\) 4.25476 + 16.9044i 0.300108 + 1.19234i
\(202\) −3.84849 8.62134i −0.270779 0.606595i
\(203\) 12.1219 + 16.6844i 0.850790 + 1.17101i
\(204\) 23.2991 + 12.2641i 1.63126 + 0.858656i
\(205\) −6.85829 14.5106i −0.479004 1.01347i
\(206\) 2.00516 3.48083i 0.139706 0.242521i
\(207\) −1.17953 2.19473i −0.0819831 0.152544i
\(208\) 1.80525 8.65808i 0.125172 0.600330i
\(209\) 9.87848 + 3.20971i 0.683309 + 0.222021i
\(210\) −5.61191 10.7894i −0.387259 0.744537i
\(211\) 16.7041 5.42749i 1.14996 0.373644i 0.328830 0.944389i \(-0.393346\pi\)
0.821127 + 0.570745i \(0.193346\pi\)
\(212\) 0.908187 8.80510i 0.0623745 0.604737i
\(213\) 22.4920 + 1.52245i 1.54113 + 0.104317i
\(214\) −3.95234 8.85398i −0.270176 0.605245i
\(215\) 3.73090 + 3.95952i 0.254445 + 0.270037i
\(216\) −9.93849 10.8271i −0.676229 0.736692i
\(217\) −6.19929 + 8.53259i −0.420835 + 0.579230i
\(218\) −0.971185 9.15478i −0.0657769 0.620040i
\(219\) −4.58146 1.83917i −0.309587 0.124280i
\(220\) −4.75682 13.5014i −0.320705 0.910265i
\(221\) −9.87817 13.5961i −0.664478 0.914575i
\(222\) −14.6188 9.79265i −0.981151 0.657240i
\(223\) −3.19090 9.82058i −0.213678 0.657635i −0.999245 0.0388572i \(-0.987628\pi\)
0.785566 0.618778i \(-0.212372\pi\)
\(224\) −6.33289 10.8471i −0.423134 0.724750i
\(225\) −14.8929 + 1.78899i −0.992862 + 0.119266i
\(226\) −0.547714 5.16297i −0.0364334 0.343436i
\(227\) 11.5150 3.74144i 0.764276 0.248328i 0.0991631 0.995071i \(-0.468383\pi\)
0.665113 + 0.746743i \(0.268383\pi\)
\(228\) 5.23589 9.94706i 0.346755 0.658760i
\(229\) −12.8174 + 9.31240i −0.846999 + 0.615381i −0.924317 0.381626i \(-0.875364\pi\)
0.0773182 + 0.997006i \(0.475364\pi\)
\(230\) −2.61776 0.212790i −0.172610 0.0140310i
\(231\) −4.58601 + 11.4240i −0.301737 + 0.751643i
\(232\) 24.9610 8.19068i 1.63877 0.537745i
\(233\) −6.92750 5.03312i −0.453836 0.329731i 0.337273 0.941407i \(-0.390496\pi\)
−0.791108 + 0.611676i \(0.790496\pi\)
\(234\) 2.63458 + 9.00322i 0.172228 + 0.588559i
\(235\) −1.82632 + 9.66298i −0.119136 + 0.630343i
\(236\) 11.6992 + 20.1731i 0.761553 + 1.31316i
\(237\) 0.101588 1.50082i 0.00659886 0.0974887i
\(238\) −23.3504 4.93960i −1.51358 0.320187i
\(239\) 5.13357 + 15.7995i 0.332063 + 1.02199i 0.968151 + 0.250368i \(0.0805517\pi\)
−0.636088 + 0.771617i \(0.719448\pi\)
\(240\) −15.2729 + 2.59615i −0.985858 + 0.167580i
\(241\) 1.84816 5.68806i 0.119051 0.366400i −0.873720 0.486430i \(-0.838299\pi\)
0.992770 + 0.120030i \(0.0382990\pi\)
\(242\) 0.532426 0.924258i 0.0342256 0.0594135i
\(243\) 14.7068 + 5.16807i 0.943444 + 0.331532i
\(244\) −1.62989 0.721889i −0.104343 0.0462142i
\(245\) −3.17405 3.36855i −0.202783 0.215209i
\(246\) 14.6072 + 9.78487i 0.931321 + 0.623860i
\(247\) −5.80459 + 4.21728i −0.369337 + 0.268339i
\(248\) 7.92851 + 10.8461i 0.503461 + 0.688731i
\(249\) 9.71423 2.44503i 0.615615 0.154947i
\(250\) −6.94433 + 14.2048i −0.439198 + 0.898390i
\(251\) −4.04127 −0.255083 −0.127541 0.991833i \(-0.540709\pi\)
−0.127541 + 0.991833i \(0.540709\pi\)
\(252\) 11.3429 + 6.98737i 0.714536 + 0.440163i
\(253\) 1.56261 + 2.15075i 0.0982404 + 0.135216i
\(254\) 13.2538 + 14.6911i 0.831616 + 0.921803i
\(255\) −15.8493 + 24.8066i −0.992522 + 1.55345i
\(256\) −15.6241 + 3.44793i −0.976505 + 0.215495i
\(257\) −19.6268 −1.22428 −0.612142 0.790748i \(-0.709692\pi\)
−0.612142 + 0.790748i \(0.709692\pi\)
\(258\) −5.73396 1.62436i −0.356981 0.101128i
\(259\) 15.1693 + 4.92880i 0.942573 + 0.306260i
\(260\) 9.47650 + 2.82356i 0.587708 + 0.175110i
\(261\) −19.2665 + 20.1297i −1.19257 + 1.24600i
\(262\) 23.4469 + 4.96002i 1.44855 + 0.306431i
\(263\) −25.7298 8.36013i −1.58657 0.515508i −0.622832 0.782356i \(-0.714018\pi\)
−0.963739 + 0.266848i \(0.914018\pi\)
\(264\) 12.0641 + 10.0178i 0.742493 + 0.616553i
\(265\) 9.72446 + 1.83794i 0.597369 + 0.112904i
\(266\) −2.10886 + 9.96896i −0.129303 + 0.611236i
\(267\) −4.58947 1.84238i −0.280871 0.112752i
\(268\) −19.6803 + 4.22310i −1.20217 + 0.257967i
\(269\) −1.97549 + 2.71903i −0.120448 + 0.165782i −0.864983 0.501801i \(-0.832671\pi\)
0.744535 + 0.667583i \(0.232671\pi\)
\(270\) 12.9949 10.0565i 0.790842 0.612020i
\(271\) −9.53068 13.1179i −0.578948 0.796853i 0.414632 0.909989i \(-0.363910\pi\)
−0.993580 + 0.113136i \(0.963910\pi\)
\(272\) −15.0992 + 26.3885i −0.915523 + 1.60004i
\(273\) −4.52217 7.20123i −0.273694 0.435838i
\(274\) −1.55796 14.6859i −0.0941197 0.887211i
\(275\) 15.4881 4.03275i 0.933967 0.243184i
\(276\) 2.58061 1.27199i 0.155335 0.0765648i
\(277\) −7.57933 + 2.46267i −0.455398 + 0.147968i −0.527729 0.849413i \(-0.676956\pi\)
0.0723308 + 0.997381i \(0.476956\pi\)
\(278\) −6.37807 + 5.75405i −0.382531 + 0.345105i
\(279\) −12.8355 6.18966i −0.768443 0.370565i
\(280\) 12.6788 6.03768i 0.757703 0.360821i
\(281\) −0.493286 + 0.678950i −0.0294270 + 0.0405027i −0.823477 0.567350i \(-0.807969\pi\)
0.794050 + 0.607852i \(0.207969\pi\)
\(282\) −3.71682 10.1112i −0.221333 0.602111i
\(283\) −13.6738 9.93457i −0.812821 0.590549i 0.101826 0.994802i \(-0.467531\pi\)
−0.914647 + 0.404253i \(0.867531\pi\)
\(284\) −2.67076 + 25.8936i −0.158480 + 1.53650i
\(285\) 10.5907 + 6.76654i 0.627337 + 0.400815i
\(286\) −4.07988 9.13970i −0.241249 0.540442i
\(287\) −15.1572 4.92488i −0.894702 0.290706i
\(288\) 12.8981 11.0290i 0.760030 0.649888i
\(289\) 12.5990 + 38.7757i 0.741116 + 2.28092i
\(290\) 6.78319 + 28.5773i 0.398323 + 1.67811i
\(291\) −0.970449 + 14.3370i −0.0568887 + 0.840450i
\(292\) 2.30852 5.21222i 0.135096 0.305022i
\(293\) 15.0280 0.877944 0.438972 0.898501i \(-0.355343\pi\)
0.438972 + 0.898501i \(0.355343\pi\)
\(294\) 4.87815 + 1.38192i 0.284500 + 0.0805953i
\(295\) −23.5724 + 11.1412i −1.37244 + 0.648666i
\(296\) 11.8946 16.4720i 0.691357 0.957417i
\(297\) −16.2917 3.34926i −0.945338 0.194344i
\(298\) 9.53396 + 21.3579i 0.552288 + 1.23723i
\(299\) −1.83638 −0.106200
\(300\) −1.45936 17.2589i −0.0842562 0.996444i
\(301\) 5.40220 0.311378
\(302\) −9.96963 22.3338i −0.573688 1.28517i
\(303\) −7.41293 + 8.87446i −0.425862 + 0.509825i
\(304\) 11.2660 + 6.44629i 0.646151 + 0.369720i
\(305\) 0.957174 1.74811i 0.0548076 0.100097i
\(306\) 0.950543 32.2332i 0.0543389 1.84265i
\(307\) 1.21153 0.0691455 0.0345728 0.999402i \(-0.488993\pi\)
0.0345728 + 0.999402i \(0.488993\pi\)
\(308\) −12.9968 5.75636i −0.740560 0.327999i
\(309\) −4.90865 0.332259i −0.279243 0.0189015i
\(310\) −12.8275 + 7.81543i −0.728552 + 0.443887i
\(311\) 0.836808 + 2.57543i 0.0474510 + 0.146039i 0.971975 0.235085i \(-0.0755369\pi\)
−0.924524 + 0.381124i \(0.875537\pi\)
\(312\) −10.4966 + 2.67446i −0.594254 + 0.151411i
\(313\) 21.0317 + 6.83360i 1.18878 + 0.386258i 0.835621 0.549306i \(-0.185108\pi\)
0.353158 + 0.935564i \(0.385108\pi\)
\(314\) −1.27396 2.85390i −0.0718935 0.161055i
\(315\) −8.84881 + 11.9814i −0.498574 + 0.675077i
\(316\) 1.72780 + 0.178211i 0.0971961 + 0.0100251i
\(317\) −13.7444 9.98586i −0.771960 0.560862i 0.130595 0.991436i \(-0.458311\pi\)
−0.902555 + 0.430574i \(0.858311\pi\)
\(318\) −10.1755 + 3.74047i −0.570614 + 0.209755i
\(319\) 17.4749 24.0521i 0.978404 1.34666i
\(320\) −2.37537 17.7301i −0.132787 0.991145i
\(321\) −7.61296 + 9.11393i −0.424914 + 0.508690i
\(322\) −1.93641 + 1.74696i −0.107912 + 0.0973541i
\(323\) 23.4571 7.62166i 1.30519 0.424080i
\(324\) −6.56143 + 16.7615i −0.364524 + 0.931194i
\(325\) −4.03483 + 10.2928i −0.223812 + 0.570939i
\(326\) −2.11681 19.9539i −0.117239 1.10515i
\(327\) −9.54856 + 5.99622i −0.528037 + 0.331592i
\(328\) −11.8851 + 16.4589i −0.656245 + 0.908793i
\(329\) 5.73978 + 7.90014i 0.316445 + 0.435549i
\(330\) −12.2926 + 12.5006i −0.676688 + 0.688133i
\(331\) 17.4398 24.0038i 0.958578 1.31937i 0.0109683 0.999940i \(-0.496509\pi\)
0.947610 0.319430i \(-0.103491\pi\)
\(332\) 2.42683 + 11.3094i 0.133190 + 0.620685i
\(333\) −2.90409 + 21.3536i −0.159143 + 1.17017i
\(334\) −2.57483 + 12.1717i −0.140889 + 0.666004i
\(335\) −2.85840 22.3219i −0.156171 1.21957i
\(336\) −8.52419 + 12.8056i −0.465033 + 0.698605i
\(337\) 9.22333 + 2.99684i 0.502427 + 0.163248i 0.549255 0.835655i \(-0.314911\pi\)
−0.0468285 + 0.998903i \(0.514911\pi\)
\(338\) −11.2226 2.37406i −0.610427 0.129132i
\(339\) −5.38505 + 3.38166i −0.292476 + 0.183666i
\(340\) −27.9825 19.2978i −1.51756 1.04657i
\(341\) 14.4601 + 4.69838i 0.783060 + 0.254432i
\(342\) −13.7613 0.405815i −0.744125 0.0219440i
\(343\) −20.1386 −1.08738
\(344\) 2.10746 6.55091i 0.113627 0.353201i
\(345\) 1.17498 + 2.99438i 0.0632590 + 0.161212i
\(346\) 4.35442 + 4.82665i 0.234095 + 0.259482i
\(347\) 7.86637 + 10.8271i 0.422289 + 0.581230i 0.966162 0.257937i \(-0.0830427\pi\)
−0.543873 + 0.839167i \(0.683043\pi\)
\(348\) −22.4466 23.0511i −1.20327 1.23567i
\(349\) 17.9590 0.961324 0.480662 0.876906i \(-0.340396\pi\)
0.480662 + 0.876906i \(0.340396\pi\)
\(350\) 5.53693 + 14.6918i 0.295962 + 0.785310i
\(351\) 8.48646 7.74457i 0.452974 0.413374i
\(352\) −12.0506 + 13.5147i −0.642297 + 0.720338i
\(353\) −19.0805 + 13.8628i −1.01555 + 0.737842i −0.965366 0.260898i \(-0.915982\pi\)
−0.0501863 + 0.998740i \(0.515982\pi\)
\(354\) 15.8954 23.7292i 0.844831 1.26119i
\(355\) −28.5973 5.40494i −1.51778 0.286864i
\(356\) 2.31256 5.22132i 0.122565 0.276729i
\(357\) 7.13482 + 28.3470i 0.377615 + 1.50028i
\(358\) 16.1876 28.1006i 0.855540 1.48516i
\(359\) −3.27037 + 10.0652i −0.172603 + 0.531218i −0.999516 0.0311121i \(-0.990095\pi\)
0.826913 + 0.562330i \(0.190095\pi\)
\(360\) 11.0771 + 15.4045i 0.583814 + 0.811888i
\(361\) 2.61741 + 8.05557i 0.137759 + 0.423977i
\(362\) −5.74560 1.21544i −0.301982 0.0638822i
\(363\) −1.30338 0.0882241i −0.0684099 0.00463057i
\(364\) 8.49385 4.92592i 0.445199 0.258189i
\(365\) 5.59028 + 3.06094i 0.292609 + 0.160217i
\(366\) 0.0831704 + 2.18165i 0.00434739 + 0.114037i
\(367\) 23.3165 + 16.9404i 1.21711 + 0.884284i 0.995857 0.0909323i \(-0.0289847\pi\)
0.221255 + 0.975216i \(0.428985\pi\)
\(368\) 1.36301 + 3.02967i 0.0710516 + 0.157933i
\(369\) 2.90178 21.3366i 0.151061 1.11074i
\(370\) 17.2353 + 14.7971i 0.896022 + 0.769264i
\(371\) 7.95040 5.77631i 0.412764 0.299891i
\(372\) 7.66430 14.5605i 0.397375 0.754928i
\(373\) −30.5562 + 9.92832i −1.58214 + 0.514069i −0.962607 0.270901i \(-0.912679\pi\)
−0.619534 + 0.784970i \(0.712679\pi\)
\(374\) 3.62967 + 34.2147i 0.187686 + 1.76920i
\(375\) 19.3649 0.00653677i 1.00000 0.000337558i
\(376\) 11.8192 3.87833i 0.609526 0.200010i
\(377\) 6.34611 + 19.5313i 0.326841 + 1.00591i
\(378\) 1.58130 16.2397i 0.0813331 0.835278i
\(379\) 18.2870 + 25.1699i 0.939341 + 1.29289i 0.956102 + 0.293032i \(0.0946644\pi\)
−0.0167615 + 0.999860i \(0.505336\pi\)
\(380\) −8.23879 + 11.9465i −0.422641 + 0.612845i
\(381\) 9.02776 22.4886i 0.462506 1.15213i
\(382\) −3.04986 28.7492i −0.156044 1.47094i
\(383\) 1.71204 2.35642i 0.0874812 0.120408i −0.763033 0.646359i \(-0.776291\pi\)
0.850514 + 0.525952i \(0.176291\pi\)
\(384\) 12.2032 + 15.3324i 0.622742 + 0.782427i
\(385\) 7.63253 13.9395i 0.388990 0.710423i
\(386\) −0.943933 2.11459i −0.0480449 0.107630i
\(387\) 1.29947 + 7.18238i 0.0660558 + 0.365101i
\(388\) −16.5053 1.70241i −0.837927 0.0864266i
\(389\) −22.1585 + 7.19974i −1.12348 + 0.365041i −0.811096 0.584914i \(-0.801128\pi\)
−0.312386 + 0.949955i \(0.601128\pi\)
\(390\) −1.99474 11.9451i −0.101007 0.604865i
\(391\) 6.00373 + 1.95073i 0.303622 + 0.0986527i
\(392\) −1.79292 + 5.57317i −0.0905562 + 0.281488i
\(393\) −7.16431 28.4642i −0.361391 1.43583i
\(394\) 12.9311 22.4475i 0.651458 1.13089i
\(395\) −0.360654 + 1.90820i −0.0181465 + 0.0960120i
\(396\) 4.52694 18.6643i 0.227487 0.937914i
\(397\) 0.146297 + 0.201360i 0.00734242 + 0.0101060i 0.812672 0.582721i \(-0.198012\pi\)
−0.805330 + 0.592827i \(0.798012\pi\)
\(398\) 1.69172 + 3.78976i 0.0847982 + 0.189964i
\(399\) 12.1022 3.04606i 0.605866 0.152494i
\(400\) 19.9758 0.982839i 0.998792 0.0491419i
\(401\) 17.4083i 0.869330i −0.900592 0.434665i \(-0.856867\pi\)
0.900592 0.434665i \(-0.143133\pi\)
\(402\) 15.2394 + 19.3774i 0.760070 + 0.966459i
\(403\) −8.49677 + 6.17326i −0.423254 + 0.307512i
\(404\) −9.93981 8.91499i −0.494524 0.443537i
\(405\) −18.0582 8.88267i −0.897318 0.441384i
\(406\) 25.2721 + 14.5582i 1.25423 + 0.722509i
\(407\) 22.9933i 1.13974i
\(408\) 37.1580 + 2.40657i 1.83959 + 0.119143i
\(409\) 8.89595 27.3789i 0.439876 1.35380i −0.448130 0.893969i \(-0.647910\pi\)
0.888006 0.459832i \(-0.152090\pi\)
\(410\) −17.2216 14.7853i −0.850515 0.730196i
\(411\) −15.3177 + 9.61905i −0.755564 + 0.474473i
\(412\) 0.582863 5.65101i 0.0287156 0.278405i
\(413\) −8.00040 + 24.6227i −0.393674 + 1.21160i
\(414\) −2.78842 2.15429i −0.137043 0.105878i
\(415\) −12.8274 + 1.64260i −0.629673 + 0.0806321i
\(416\) −2.65980 12.2216i −0.130407 0.599214i
\(417\) 9.76330 + 3.91935i 0.478111 + 0.191932i
\(418\) 14.6073 1.54961i 0.714464 0.0757940i
\(419\) −24.6316 17.8959i −1.20333 0.874274i −0.208726 0.977974i \(-0.566932\pi\)
−0.994609 + 0.103700i \(0.966932\pi\)
\(420\) −13.4669 10.6982i −0.657116 0.522019i
\(421\) 5.26715 3.82681i 0.256705 0.186507i −0.451988 0.892024i \(-0.649285\pi\)
0.708693 + 0.705517i \(0.249285\pi\)
\(422\) 18.4427 16.6383i 0.897778 0.809941i
\(423\) −9.12278 + 9.53154i −0.443565 + 0.463440i
\(424\) −3.90301 11.8944i −0.189547 0.577641i
\(425\) 24.1249 29.3644i 1.17023 1.42438i
\(426\) 29.9236 10.9998i 1.44981 0.532942i
\(427\) −0.611556 1.88217i −0.0295952 0.0910848i
\(428\) −10.2080 9.15555i −0.493423 0.442550i
\(429\) −7.85863 + 9.40804i −0.379418 + 0.454224i
\(430\) 7.10057 + 2.96255i 0.342420 + 0.142867i
\(431\) 11.8184 + 8.58660i 0.569274 + 0.413602i 0.834842 0.550490i \(-0.185559\pi\)
−0.265567 + 0.964092i \(0.585559\pi\)
\(432\) −19.0759 8.25282i −0.917791 0.397064i
\(433\) −1.60425 + 2.20806i −0.0770954 + 0.106113i −0.845823 0.533464i \(-0.820890\pi\)
0.768728 + 0.639576i \(0.220890\pi\)
\(434\) −3.08696 + 14.5926i −0.148179 + 0.700466i
\(435\) 27.7871 22.8448i 1.33229 1.09532i
\(436\) −6.53159 11.2625i −0.312806 0.539377i
\(437\) 0.832824 2.56317i 0.0398394 0.122613i
\(438\) −6.97667 + 0.265970i −0.333358 + 0.0127085i
\(439\) 35.1235 11.4123i 1.67635 0.544680i 0.692154 0.721750i \(-0.256662\pi\)
0.984198 + 0.177070i \(0.0566619\pi\)
\(440\) −13.9260 14.6934i −0.663896 0.700482i
\(441\) −1.10552 6.11040i −0.0526439 0.290971i
\(442\) −20.5943 11.8635i −0.979569 0.564289i
\(443\) 25.9558i 1.23320i −0.787277 0.616599i \(-0.788510\pi\)
0.787277 0.616599i \(-0.211490\pi\)
\(444\) −24.5237 4.21889i −1.16384 0.200220i
\(445\) 5.60005 + 3.06629i 0.265468 + 0.145356i
\(446\) −9.78192 10.8428i −0.463187 0.513419i
\(447\) 18.3642 21.9849i 0.868598 1.03985i
\(448\) −14.4312 10.3571i −0.681809 0.489327i
\(449\) 7.55456i 0.356522i −0.983983 0.178261i \(-0.942953\pi\)
0.983983 0.178261i \(-0.0570471\pi\)
\(450\) −18.2013 + 10.8955i −0.858017 + 0.513621i
\(451\) 22.9750i 1.08185i
\(452\) −3.68359 6.35167i −0.173261 0.298757i
\(453\) −19.2034 + 22.9896i −0.902255 + 1.08014i
\(454\) 12.7135 11.4696i 0.596675 0.538297i
\(455\) 4.69098 + 9.92509i 0.219917 + 0.465296i
\(456\) 1.02744 15.8638i 0.0481141 0.742892i
\(457\) 16.6963i 0.781018i −0.920599 0.390509i \(-0.872299\pi\)
0.920599 0.390509i \(-0.127701\pi\)
\(458\) −11.1840 + 19.4147i −0.522594 + 0.907191i
\(459\) −35.9719 + 16.3047i −1.67903 + 0.761036i
\(460\) −3.50321 + 1.23425i −0.163338 + 0.0575473i
\(461\) 17.8198 5.78999i 0.829949 0.269667i 0.136925 0.990581i \(-0.456278\pi\)
0.693024 + 0.720915i \(0.256278\pi\)
\(462\) 0.663203 + 17.3965i 0.0308550 + 0.809358i
\(463\) −2.49936 + 7.69225i −0.116155 + 0.357489i −0.992186 0.124766i \(-0.960182\pi\)
0.876031 + 0.482255i \(0.160182\pi\)
\(464\) 27.5127 24.9665i 1.27724 1.15904i
\(465\) 15.5026 + 9.90486i 0.718917 + 0.459327i
\(466\) −11.8475 2.50626i −0.548826 0.116100i
\(467\) −6.50921 + 8.95915i −0.301210 + 0.414580i −0.932615 0.360873i \(-0.882479\pi\)
0.631405 + 0.775453i \(0.282479\pi\)
\(468\) 8.59231 + 10.1079i 0.397180 + 0.467239i
\(469\) −18.0786 13.1349i −0.834791 0.606511i
\(470\) 3.21188 + 13.5315i 0.148153 + 0.624161i
\(471\) −2.45388 + 2.93769i −0.113069 + 0.135362i
\(472\) 26.7373 + 19.3072i 1.23069 + 0.888685i
\(473\) −2.40656 7.40662i −0.110654 0.340557i
\(474\) −0.733980 1.99671i −0.0337128 0.0917117i
\(475\) −12.5365 10.2996i −0.575215 0.472580i
\(476\) −33.0019 + 7.08172i −1.51264 + 0.324590i
\(477\) 9.59219 + 9.18083i 0.439196 + 0.420361i
\(478\) 15.7373 + 17.4440i 0.719808 + 0.797870i
\(479\) 13.6976 9.95186i 0.625858 0.454712i −0.229105 0.973402i \(-0.573580\pi\)
0.854963 + 0.518690i \(0.173580\pi\)
\(480\) −18.2266 + 12.1569i −0.831928 + 0.554884i
\(481\) 12.8496 + 9.33577i 0.585891 + 0.425675i
\(482\) −0.892271 8.41090i −0.0406418 0.383106i
\(483\) 2.96418 + 1.18993i 0.134875 + 0.0541438i
\(484\) 0.154767 1.50050i 0.00703485 0.0682046i
\(485\) 3.44524 18.2286i 0.156440 0.827719i
\(486\) 21.9715 1.80399i 0.996646 0.0818305i
\(487\) 6.35483 19.5581i 0.287965 0.886264i −0.697530 0.716556i \(-0.745717\pi\)
0.985494 0.169708i \(-0.0542826\pi\)
\(488\) −2.52097 + 0.00733564i −0.114119 + 0.000332069i
\(489\) −20.8122 + 13.0695i −0.941161 + 0.591022i
\(490\) −6.04079 2.52038i −0.272895 0.113859i
\(491\) 1.93856 5.96628i 0.0874861 0.269255i −0.897737 0.440533i \(-0.854790\pi\)
0.985223 + 0.171278i \(0.0547896\pi\)
\(492\) 24.5042 + 4.21553i 1.10474 + 0.190051i
\(493\) 70.5957i 3.17947i
\(494\) −5.06487 + 8.79230i −0.227879 + 0.395584i
\(495\) 20.3689 + 6.79459i 0.915515 + 0.305394i
\(496\) 16.4912 + 9.43609i 0.740478 + 0.423693i
\(497\) −23.3802 + 16.9867i −1.04874 + 0.761958i
\(498\) 11.1354 8.75741i 0.498989 0.392429i
\(499\) 40.8446i 1.82845i 0.405203 + 0.914227i \(0.367201\pi\)
−0.405203 + 0.914227i \(0.632799\pi\)
\(500\) −0.779267 + 22.3471i −0.0348499 + 0.999393i
\(501\) 14.7762 3.71912i 0.660154 0.166158i
\(502\) −5.21886 + 2.32965i −0.232929 + 0.103978i
\(503\) −4.94087 6.80053i −0.220303 0.303221i 0.684533 0.728982i \(-0.260006\pi\)
−0.904835 + 0.425762i \(0.860006\pi\)
\(504\) 18.6761 + 2.48462i 0.831899 + 0.110674i
\(505\) 10.8647 10.2374i 0.483473 0.455558i
\(506\) 3.25777 + 1.87666i 0.144825 + 0.0834278i
\(507\) 3.42911 + 13.6240i 0.152292 + 0.605065i
\(508\) 25.5847 + 11.3316i 1.13514 + 0.502760i
\(509\) −10.3227 3.35404i −0.457545 0.148665i 0.0711712 0.997464i \(-0.477326\pi\)
−0.528716 + 0.848799i \(0.677326\pi\)
\(510\) −6.16749 + 41.1715i −0.273101 + 1.82311i
\(511\) 6.01899 1.95569i 0.266265 0.0865146i
\(512\) −18.1892 + 13.4594i −0.803855 + 0.594825i
\(513\) 6.96094 + 15.3575i 0.307333 + 0.678049i
\(514\) −25.3458 + 11.3141i −1.11795 + 0.499045i
\(515\) 6.24104 + 1.17957i 0.275013 + 0.0519780i
\(516\) −8.34117 + 1.20775i −0.367199 + 0.0531680i
\(517\) 8.27444 11.3888i 0.363909 0.500878i
\(518\) 22.4307 2.37956i 0.985550 0.104552i
\(519\) 2.96599 7.38844i 0.130193 0.324317i
\(520\) 13.8655 1.81656i 0.608044 0.0796614i
\(521\) 22.1598 + 30.5003i 0.970838 + 1.33624i 0.941623 + 0.336670i \(0.109301\pi\)
0.0292153 + 0.999573i \(0.490699\pi\)
\(522\) −13.2764 + 37.1018i −0.581094 + 1.62390i
\(523\) −8.70530 26.7921i −0.380656 1.17154i −0.939583 0.342322i \(-0.888787\pi\)
0.558927 0.829217i \(-0.311213\pi\)
\(524\) 33.1383 7.11099i 1.44765 0.310645i
\(525\) 13.1823 13.9995i 0.575323 0.610990i
\(526\) −38.0466 + 4.03617i −1.65891 + 0.175985i
\(527\) 34.3365 11.1566i 1.49572 0.485989i
\(528\) 21.3544 + 5.98236i 0.929329 + 0.260349i
\(529\) −18.0493 + 13.1136i −0.784754 + 0.570157i
\(530\) 13.6176 3.23232i 0.591510 0.140403i
\(531\) −34.6610 4.71390i −1.50416 0.204566i
\(532\) 3.02339 + 14.0895i 0.131081 + 0.610857i
\(533\) −12.8394 9.32835i −0.556135 0.404056i
\(534\) −6.98886 + 0.266435i −0.302438 + 0.0115298i
\(535\) 11.1579 10.5136i 0.482397 0.454544i
\(536\) −22.9805 + 16.7987i −0.992606 + 0.725593i
\(537\) −39.6274 2.68232i −1.71005 0.115750i
\(538\) −0.983703 + 4.65013i −0.0424105 + 0.200482i
\(539\) 2.04737 + 6.30117i 0.0881866 + 0.271411i
\(540\) 10.9842 20.4780i 0.472684 0.881232i
\(541\) −7.33516 + 22.5753i −0.315363 + 0.970589i 0.660241 + 0.751054i \(0.270454\pi\)
−0.975605 + 0.219535i \(0.929546\pi\)
\(542\) −19.8698 11.4462i −0.853482 0.491655i
\(543\) 1.75560 + 6.97508i 0.0753398 + 0.299329i
\(544\) −4.28690 + 42.7820i −0.183799 + 1.83426i
\(545\) 13.1603 6.22007i 0.563725 0.266438i
\(546\) −9.99114 6.69272i −0.427581 0.286422i
\(547\) −17.8819 + 12.9919i −0.764573 + 0.555495i −0.900310 0.435250i \(-0.856660\pi\)
0.135736 + 0.990745i \(0.456660\pi\)
\(548\) −10.4779 18.0672i −0.447593 0.771792i
\(549\) 2.35530 1.26583i 0.100522 0.0540242i
\(550\) 17.6764 14.1362i 0.753726 0.602770i
\(551\) −30.1394 −1.28398
\(552\) 2.59932 3.13027i 0.110634 0.133233i
\(553\) 1.13347 + 1.56008i 0.0481999 + 0.0663414i
\(554\) −8.36823 + 7.54949i −0.355532 + 0.320747i
\(555\) 7.00117 26.9258i 0.297183 1.14294i
\(556\) −4.91957 + 11.1075i −0.208636 + 0.471061i
\(557\) 21.1546 0.896349 0.448174 0.893946i \(-0.352074\pi\)
0.448174 + 0.893946i \(0.352074\pi\)
\(558\) −20.1438 0.594033i −0.852755 0.0251474i
\(559\) 5.11623 + 1.66236i 0.216394 + 0.0703105i
\(560\) 12.8927 15.1059i 0.544818 0.638340i
\(561\) 35.6864 22.4100i 1.50668 0.946153i
\(562\) −0.245633 + 1.16115i −0.0103614 + 0.0489802i
\(563\) 7.52078 + 2.44365i 0.316963 + 0.102988i 0.463178 0.886265i \(-0.346709\pi\)
−0.146215 + 0.989253i \(0.546709\pi\)
\(564\) −10.6286 10.9148i −0.447545 0.459597i
\(565\) 7.42195 3.50790i 0.312244 0.147578i
\(566\) −23.3851 4.94695i −0.982949 0.207936i
\(567\) −18.7167 + 7.00183i −0.786028 + 0.294049i
\(568\) 11.4778 + 34.9784i 0.481598 + 1.46766i
\(569\) 18.7928 25.8661i 0.787837 1.08436i −0.206537 0.978439i \(-0.566219\pi\)
0.994374 0.105925i \(-0.0337805\pi\)
\(570\) 17.5773 + 2.63308i 0.736234 + 0.110288i
\(571\) 15.2801 + 21.0313i 0.639453 + 0.880132i 0.998586 0.0531546i \(-0.0169276\pi\)
−0.359133 + 0.933286i \(0.616928\pi\)
\(572\) −10.5374 9.45100i −0.440593 0.395166i
\(573\) −29.9858 + 18.8303i −1.25268 + 0.786645i
\(574\) −22.4129 + 2.37767i −0.935496 + 0.0992421i
\(575\) −1.04638 4.01870i −0.0436370 0.167591i
\(576\) 10.2987 21.6780i 0.429113 0.903251i
\(577\) −20.7615 + 6.74582i −0.864312 + 0.280832i −0.707428 0.706785i \(-0.750145\pi\)
−0.156884 + 0.987617i \(0.550145\pi\)
\(578\) 38.6230 + 42.8116i 1.60651 + 1.78073i
\(579\) −1.81819 + 2.17667i −0.0755616 + 0.0904593i
\(580\) 25.2335 + 32.9941i 1.04777 + 1.37001i
\(581\) −7.54804 + 10.3890i −0.313145 + 0.431008i
\(582\) 7.01155 + 19.0741i 0.290638 + 0.790646i
\(583\) −11.4613 8.32709i −0.474677 0.344873i
\(584\) −0.0234586 8.06179i −0.000970724 0.333599i
\(585\) −12.0673 + 8.62423i −0.498922 + 0.356568i
\(586\) 19.4070 8.66311i 0.801695 0.357870i
\(587\) −29.9981 9.74698i −1.23816 0.402301i −0.384493 0.923128i \(-0.625624\pi\)
−0.853662 + 0.520827i \(0.825624\pi\)
\(588\) 7.09623 1.02749i 0.292644 0.0423728i
\(589\) −4.76308 14.6593i −0.196259 0.604024i
\(590\) −24.0186 + 27.9763i −0.988830 + 1.15177i
\(591\) −31.6554 2.14271i −1.30213 0.0881391i
\(592\) 5.86495 28.1286i 0.241048 1.15608i
\(593\) −8.20475 −0.336929 −0.168464 0.985708i \(-0.553881\pi\)
−0.168464 + 0.985708i \(0.553881\pi\)
\(594\) −22.9696 + 5.06638i −0.942455 + 0.207876i
\(595\) −4.79326 37.4316i −0.196504 1.53454i
\(596\) 24.6241 + 22.0853i 1.00864 + 0.904650i
\(597\) 3.25857 3.90103i 0.133364 0.159659i
\(598\) −2.37148 + 1.05861i −0.0969769 + 0.0432897i
\(599\) 10.2164 0.417433 0.208716 0.977976i \(-0.433071\pi\)
0.208716 + 0.977976i \(0.433071\pi\)
\(600\) −11.8338 21.4467i −0.483112 0.875559i
\(601\) −32.0029 −1.30543 −0.652714 0.757605i \(-0.726369\pi\)
−0.652714 + 0.757605i \(0.726369\pi\)
\(602\) 6.97635 3.11418i 0.284335 0.126925i
\(603\) 13.1145 27.1955i 0.534062 1.10749i
\(604\) −25.7494 23.0945i −1.04773 0.939704i
\(605\) 1.65717 + 0.313209i 0.0673737 + 0.0127338i
\(606\) −4.45716 + 15.7337i −0.181060 + 0.639137i
\(607\) 3.71162 0.150650 0.0753250 0.997159i \(-0.476001\pi\)
0.0753250 + 0.997159i \(0.476001\pi\)
\(608\) 18.2649 + 1.83020i 0.740739 + 0.0742246i
\(609\) 2.41232 35.6385i 0.0977521 1.44415i
\(610\) 0.228358 2.80927i 0.00924594 0.113744i
\(611\) 3.00492 + 9.24818i 0.121566 + 0.374141i
\(612\) −17.3538 42.1735i −0.701485 1.70476i
\(613\) 36.8735 + 11.9809i 1.48931 + 0.483905i 0.936879 0.349654i \(-0.113701\pi\)
0.552429 + 0.833560i \(0.313701\pi\)
\(614\) 1.56455 0.698404i 0.0631403 0.0281853i
\(615\) −6.99560 + 26.9044i −0.282090 + 1.08489i
\(616\) −20.1023 + 0.0584946i −0.809943 + 0.00235681i
\(617\) 17.6832 + 12.8476i 0.711899 + 0.517225i 0.883786 0.467892i \(-0.154986\pi\)
−0.171887 + 0.985117i \(0.554986\pi\)
\(618\) −6.53051 + 2.40059i −0.262696 + 0.0965658i
\(619\) −1.44134 + 1.98384i −0.0579325 + 0.0797372i −0.837000 0.547202i \(-0.815693\pi\)
0.779068 + 0.626940i \(0.215693\pi\)
\(620\) −12.0600 + 17.4874i −0.484339 + 0.702310i
\(621\) −0.869032 + 4.22720i −0.0348730 + 0.169632i
\(622\) 2.56529 + 2.84349i 0.102859 + 0.114014i
\(623\) 6.02951 1.95911i 0.241567 0.0784899i
\(624\) −12.0135 + 9.50471i −0.480925 + 0.380493i
\(625\) −24.8236 2.96490i −0.992943 0.118596i
\(626\) 31.0994 3.29918i 1.24298 0.131862i
\(627\) −9.56751 15.2356i −0.382089 0.608450i
\(628\) −3.29035 2.95111i −0.131299 0.117762i
\(629\) −32.0925 44.1715i −1.27961 1.76123i
\(630\) −4.52038 + 20.5737i −0.180096 + 0.819677i
\(631\) −13.2529 + 18.2411i −0.527591 + 0.726167i −0.986761 0.162181i \(-0.948147\pi\)
0.459170 + 0.888349i \(0.348147\pi\)
\(632\) 2.33399 0.765875i 0.0928412 0.0304649i
\(633\) −28.2314 11.3331i −1.12210 0.450452i
\(634\) −23.5058 4.97249i −0.933536 0.197483i
\(635\) −15.0250 + 27.4405i −0.596247 + 1.08894i
\(636\) −10.9843 + 10.6962i −0.435555 + 0.424133i
\(637\) −4.35262 1.41425i −0.172457 0.0560347i
\(638\) 8.70166 41.1343i 0.344502 1.62852i
\(639\) −28.2083 26.9986i −1.11590 1.06805i
\(640\) −13.2883 21.5272i −0.525267 0.850937i
\(641\) 12.9328 + 4.20211i 0.510813 + 0.165973i 0.553072 0.833133i \(-0.313455\pi\)
−0.0422587 + 0.999107i \(0.513455\pi\)
\(642\) −4.57743 + 16.1582i −0.180657 + 0.637715i
\(643\) 29.1672 1.15024 0.575121 0.818068i \(-0.304955\pi\)
0.575121 + 0.818068i \(0.304955\pi\)
\(644\) −1.49360 + 3.37228i −0.0588562 + 0.132886i
\(645\) −0.562925 9.40613i −0.0221652 0.370366i
\(646\) 25.8986 23.3647i 1.01897 0.919272i
\(647\) 27.0800 + 37.2724i 1.06462 + 1.46533i 0.875402 + 0.483395i \(0.160597\pi\)
0.189222 + 0.981934i \(0.439403\pi\)
\(648\) 1.18906 + 25.4281i 0.0467106 + 0.998908i
\(649\) 37.3226 1.46504
\(650\) 0.722873 + 15.6179i 0.0283534 + 0.612584i
\(651\) 17.7152 4.45883i 0.694313 0.174755i
\(652\) −14.2364 24.5480i −0.557539 0.961375i
\(653\) 9.13539 6.63725i 0.357495 0.259736i −0.394511 0.918891i \(-0.629086\pi\)
0.752007 + 0.659156i \(0.229086\pi\)
\(654\) −8.87430 + 13.2479i −0.347013 + 0.518033i
\(655\) 4.81307 + 37.5863i 0.188062 + 1.46862i
\(656\) −5.86029 + 28.1062i −0.228806 + 1.09736i
\(657\) 4.04798 + 7.53199i 0.157927 + 0.293851i
\(658\) 11.9665 + 6.89337i 0.466501 + 0.268731i
\(659\) −1.28381 + 3.95117i −0.0500102 + 0.153916i −0.972943 0.231046i \(-0.925785\pi\)
0.922933 + 0.384961i \(0.125785\pi\)
\(660\) −8.66846 + 23.2294i −0.337420 + 0.904202i
\(661\) −13.8966 42.7694i −0.540517 1.66354i −0.731418 0.681930i \(-0.761141\pi\)
0.190901 0.981609i \(-0.438859\pi\)
\(662\) 8.68421 41.0517i 0.337521 1.59552i
\(663\) −1.96581 + 29.0419i −0.0763456 + 1.12790i
\(664\) 9.65348 + 13.2059i 0.374628 + 0.512488i
\(665\) −15.9806 + 2.04638i −0.619703 + 0.0793553i
\(666\) 8.55929 + 29.2499i 0.331666 + 1.13341i
\(667\) −6.24079 4.53420i −0.241644 0.175565i
\(668\) 3.69144 + 17.2027i 0.142826 + 0.665592i
\(669\) −6.66292 + 16.5977i −0.257603 + 0.641703i
\(670\) −16.5591 27.1785i −0.639734 1.05000i
\(671\) −2.30810 + 1.67693i −0.0891031 + 0.0647372i
\(672\) −3.62604 + 21.4510i −0.139877 + 0.827490i
\(673\) −11.1174 + 3.61228i −0.428546 + 0.139243i −0.515345 0.856983i \(-0.672336\pi\)
0.0867989 + 0.996226i \(0.472336\pi\)
\(674\) 13.6385 1.44684i 0.525335 0.0557302i
\(675\) 21.7837 + 14.1587i 0.838456 + 0.544970i
\(676\) −15.8613 + 3.40359i −0.610049 + 0.130907i
\(677\) 11.6601 + 35.8861i 0.448134 + 1.37921i 0.879010 + 0.476804i \(0.158205\pi\)
−0.430876 + 0.902411i \(0.641795\pi\)
\(678\) −5.00479 + 7.47133i −0.192208 + 0.286935i
\(679\) −10.8277 14.9031i −0.415531 0.571929i
\(680\) −47.2608 8.79002i −1.81237 0.337082i
\(681\) −19.4613 7.81251i −0.745761 0.299376i
\(682\) 21.3821 2.26832i 0.818764 0.0868586i
\(683\) −22.4255 + 30.8661i −0.858088 + 1.18106i 0.123934 + 0.992291i \(0.460449\pi\)
−0.982022 + 0.188767i \(0.939551\pi\)
\(684\) −18.0051 + 7.40884i −0.688443 + 0.283284i
\(685\) 21.1116 9.97814i 0.806631 0.381245i
\(686\) −26.0068 + 11.6092i −0.992946 + 0.443242i
\(687\) 27.3786 + 1.85321i 1.04456 + 0.0707045i
\(688\) −1.05481 9.67466i −0.0402144 0.368843i
\(689\) 9.30702 3.02404i 0.354569 0.115207i
\(690\) 3.24352 + 3.18957i 0.123479 + 0.121425i
\(691\) 12.0881 + 3.92767i 0.459854 + 0.149416i 0.529778 0.848137i \(-0.322275\pi\)
−0.0699232 + 0.997552i \(0.522275\pi\)
\(692\) 8.40564 + 3.72291i 0.319535 + 0.141524i
\(693\) 18.7812 10.0937i 0.713439 0.383429i
\(694\) 16.4000 + 9.44735i 0.622536 + 0.358617i
\(695\) −11.9131 6.52300i −0.451891 0.247431i
\(696\) −42.2755 16.8283i −1.60245 0.637875i
\(697\) 32.0670 + 44.1364i 1.21462 + 1.67179i
\(698\) 23.1921 10.3528i 0.877834 0.391857i
\(699\) 3.62007 + 14.3827i 0.136924 + 0.544005i
\(700\) 15.6197 + 15.7810i 0.590367 + 0.596465i
\(701\) 23.1560i 0.874589i 0.899318 + 0.437295i \(0.144063\pi\)
−0.899318 + 0.437295i \(0.855937\pi\)
\(702\) 6.49485 14.8934i 0.245132 0.562115i
\(703\) −18.8581 + 13.7012i −0.711248 + 0.516752i
\(704\) −7.77120 + 24.3995i −0.292888 + 0.919592i
\(705\) 13.1573 10.8171i 0.495534 0.407397i
\(706\) −16.6489 + 28.9015i −0.626591 + 1.08772i
\(707\) 14.8234i 0.557490i
\(708\) 6.84808 39.8068i 0.257367 1.49603i
\(709\) 4.04843 12.4598i 0.152042 0.467937i −0.845807 0.533489i \(-0.820881\pi\)
0.997849 + 0.0655517i \(0.0208807\pi\)
\(710\) −40.0460 + 9.50545i −1.50290 + 0.356733i
\(711\) −1.80152 + 1.88224i −0.0675625 + 0.0705897i
\(712\) −0.0234996 8.07587i −0.000880684 0.302656i
\(713\) 1.21909 3.75197i 0.0456553 0.140512i
\(714\) 25.5549 + 32.4941i 0.956368 + 1.21606i
\(715\) 11.5179 10.8529i 0.430747 0.405876i
\(716\) 4.70544 45.6204i 0.175851 1.70491i
\(717\) 10.7194 26.7026i 0.400324 0.997226i
\(718\) 1.57889 + 14.8833i 0.0589238 + 0.555439i
\(719\) 22.4988 + 16.3463i 0.839062 + 0.609614i 0.922108 0.386931i \(-0.126465\pi\)
−0.0830464 + 0.996546i \(0.526465\pi\)
\(720\) 23.1850 + 13.5076i 0.864054 + 0.503400i
\(721\) 5.10247 3.70716i 0.190026 0.138062i
\(722\) 8.02385 + 8.89403i 0.298617 + 0.331001i
\(723\) −8.77269 + 5.50900i −0.326260 + 0.204882i
\(724\) −8.12047 + 1.74253i −0.301795 + 0.0647606i
\(725\) −39.1259 + 25.0168i −1.45310 + 0.929099i
\(726\) −1.73404 + 0.637424i −0.0643561 + 0.0236570i
\(727\) −3.79354 11.6753i −0.140695 0.433014i 0.855738 0.517410i \(-0.173104\pi\)
−0.996432 + 0.0843963i \(0.973104\pi\)
\(728\) 8.12925 11.2577i 0.301290 0.417238i
\(729\) −13.8113 23.2002i −0.511531 0.859265i
\(730\) 8.98376 + 0.730264i 0.332504 + 0.0270283i
\(731\) −14.9608 10.8697i −0.553345 0.402029i
\(732\) 1.36505 + 2.76941i 0.0504537 + 0.102360i
\(733\) −14.8309 + 20.4130i −0.547792 + 0.753970i −0.989710 0.143085i \(-0.954298\pi\)
0.441919 + 0.897055i \(0.354298\pi\)
\(734\) 39.8763 + 8.43555i 1.47186 + 0.311362i
\(735\) 0.478907 + 8.00224i 0.0176648 + 0.295167i
\(736\) 3.50667 + 3.12676i 0.129258 + 0.115254i
\(737\) −9.95479 + 30.6377i −0.366689 + 1.12855i
\(738\) −8.55248 29.2267i −0.314821 1.07585i
\(739\) −15.9853 + 5.19394i −0.588029 + 0.191062i −0.587894 0.808938i \(-0.700043\pi\)
−0.000134647 1.00000i \(0.500043\pi\)
\(740\) 30.7875 + 9.17326i 1.13177 + 0.337216i
\(741\) 12.3989 + 0.839260i 0.455484 + 0.0308310i
\(742\) 6.93723 12.0426i 0.254674 0.442098i
\(743\) 22.9850i 0.843239i 0.906773 + 0.421620i \(0.138538\pi\)
−0.906773 + 0.421620i \(0.861462\pi\)
\(744\) 1.50396 23.2215i 0.0551379 0.851342i
\(745\) −26.9154 + 25.3613i −0.986104 + 0.929167i
\(746\) −33.7367 + 30.4359i −1.23519 + 1.11434i
\(747\) −15.6281 7.53632i −0.571802 0.275740i
\(748\) 24.4109 + 42.0921i 0.892551 + 1.53904i
\(749\) 15.2234i 0.556249i
\(750\) 25.0039 11.1716i 0.913013 0.407931i
\(751\) 15.1363i 0.552333i −0.961110 0.276166i \(-0.910936\pi\)
0.961110 0.276166i \(-0.0890641\pi\)
\(752\) 13.0274 11.8218i 0.475061 0.431096i
\(753\) 5.37208 + 4.48736i 0.195770 + 0.163528i
\(754\) 19.4544 + 21.5642i 0.708488 + 0.785323i
\(755\) 28.1453 26.5203i 1.02431 0.965171i
\(756\) −7.31953 21.8833i −0.266209 0.795888i
\(757\) 32.0552i 1.16507i −0.812807 0.582533i \(-0.802062\pi\)
0.812807 0.582533i \(-0.197938\pi\)
\(758\) 38.1253 + 21.9623i 1.38477 + 0.797708i
\(759\) 0.310967 4.59409i 0.0112874 0.166755i
\(760\) −3.75272 + 20.1770i −0.136125 + 0.731897i
\(761\) −17.0493 + 5.53967i −0.618038 + 0.200813i −0.601269 0.799047i \(-0.705338\pi\)
−0.0167691 + 0.999859i \(0.505338\pi\)
\(762\) −1.30554 34.2457i −0.0472948 1.24059i
\(763\) 4.46657 13.7467i 0.161701 0.497664i
\(764\) −20.5115 35.3683i −0.742080 1.27958i
\(765\) 48.6133 15.3767i 1.75762 0.555947i
\(766\) 0.852516 4.02999i 0.0308027 0.145609i
\(767\) −15.1538 + 20.8574i −0.547171 + 0.753117i
\(768\) 24.5977 + 12.7654i 0.887592 + 0.460630i
\(769\) −18.4579 13.4104i −0.665608 0.483592i 0.202944 0.979190i \(-0.434949\pi\)
−0.868552 + 0.495598i \(0.834949\pi\)
\(770\) 1.82093 22.4012i 0.0656218 0.807284i
\(771\) 26.0899 + 21.7932i 0.939606 + 0.784863i
\(772\) −2.43797 2.18661i −0.0877445 0.0786978i
\(773\) −9.76752 30.0613i −0.351313 1.08123i −0.958116 0.286379i \(-0.907548\pi\)
0.606803 0.794852i \(-0.292452\pi\)