Properties

Label 114.2.i.a.73.1
Level $114$
Weight $2$
Character 114.73
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \( x^{6} - x^{3} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 73.1
Root \(-0.766044 - 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 114.73
Dual form 114.2.i.a.25.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 - 0.642788i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.386659 + 2.19285i) q^{5} +(0.939693 + 0.342020i) q^{6} +(1.32635 + 2.29731i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\) \(q+(-0.766044 - 0.642788i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.386659 + 2.19285i) q^{5} +(0.939693 + 0.342020i) q^{6} +(1.32635 + 2.29731i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.70574 - 1.43128i) q^{10} +(-1.11334 + 1.92836i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(4.97178 + 1.80958i) q^{13} +(0.460637 - 2.61240i) q^{14} +(-0.386659 - 2.19285i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-2.61334 - 2.19285i) q^{17} -1.00000 q^{18} +(-4.29813 - 0.725293i) q^{19} -2.22668 q^{20} +(-2.03209 - 1.70513i) q^{21} +(2.09240 - 0.761570i) q^{22} +(0.386659 + 2.19285i) q^{23} +(-0.173648 + 0.984808i) q^{24} +(0.0393628 + 0.0143269i) q^{25} +(-2.64543 - 4.58202i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-2.03209 + 1.70513i) q^{28} +(3.68866 - 3.09516i) q^{29} +(-1.11334 + 1.92836i) q^{30} +(-5.15657 - 8.93145i) q^{31} +(0.939693 + 0.342020i) q^{32} +(0.386659 - 2.19285i) q^{33} +(0.592396 + 3.35965i) q^{34} +(-5.55051 + 2.02022i) q^{35} +(0.766044 + 0.642788i) q^{36} +2.30541 q^{37} +(2.82635 + 3.31839i) q^{38} -5.29086 q^{39} +(1.70574 + 1.43128i) q^{40} +(6.79813 - 2.47432i) q^{41} +(0.460637 + 2.61240i) q^{42} +(-1.02822 + 5.83132i) q^{43} +(-2.09240 - 0.761570i) q^{44} +(1.11334 + 1.92836i) q^{45} +(1.11334 - 1.92836i) q^{46} +(8.43242 - 7.07564i) q^{47} +(0.766044 - 0.642788i) q^{48} +(-0.0184183 + 0.0319015i) q^{49} +(-0.0209445 - 0.0362770i) q^{50} +(3.20574 + 1.16679i) q^{51} +(-0.918748 + 5.21048i) q^{52} +(1.70574 + 9.67372i) q^{53} +(0.939693 - 0.342020i) q^{54} +(-3.79813 - 3.18701i) q^{55} +2.65270 q^{56} +(4.28699 - 0.788496i) q^{57} -4.81521 q^{58} +(3.79813 + 3.18701i) q^{59} +(2.09240 - 0.761570i) q^{60} +(-0.990200 - 5.61570i) q^{61} +(-1.79086 + 10.1565i) q^{62} +(2.49273 + 0.907278i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-5.89053 + 10.2027i) q^{65} +(-1.70574 + 1.43128i) q^{66} +(6.56805 - 5.51125i) q^{67} +(1.70574 - 2.95442i) q^{68} +(-1.11334 - 1.92836i) q^{69} +(5.55051 + 2.02022i) q^{70} +(0.764700 - 4.33683i) q^{71} +(-0.173648 - 0.984808i) q^{72} +(2.62701 - 0.956154i) q^{73} +(-1.76604 - 1.48189i) q^{74} -0.0418891 q^{75} +(-0.0320889 - 4.35878i) q^{76} -5.90673 q^{77} +(4.05303 + 3.40090i) q^{78} +(-12.9684 + 4.72010i) q^{79} +(-0.386659 - 2.19285i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-6.79813 - 2.47432i) q^{82} +(5.25150 + 9.09586i) q^{83} +(1.32635 - 2.29731i) q^{84} +(5.81908 - 4.88279i) q^{85} +(4.53596 - 3.80612i) q^{86} +(-2.40760 + 4.17009i) q^{87} +(1.11334 + 1.92836i) q^{88} +(-7.34389 - 2.67296i) q^{89} +(0.386659 - 2.19285i) q^{90} +(2.43717 + 13.8219i) q^{91} +(-2.09240 + 0.761570i) q^{92} +(7.90033 + 6.62916i) q^{93} -11.0077 q^{94} +(3.25237 - 9.14473i) q^{95} -1.00000 q^{96} +(-13.6270 - 11.4344i) q^{97} +(0.0346151 - 0.0125989i) q^{98} +(0.386659 + 2.19285i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 9 q^{5} + 9 q^{7} + 3 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 9 q^{5} + 9 q^{7} + 3 q^{8} - 3 q^{12} + 15 q^{13} - 6 q^{14} - 9 q^{15} - 9 q^{17} - 6 q^{18} - 12 q^{19} - 3 q^{21} + 9 q^{22} + 9 q^{23} + 9 q^{25} - 3 q^{27} - 3 q^{28} - 9 q^{29} - 9 q^{31} + 9 q^{33} - 36 q^{35} + 18 q^{37} + 18 q^{38} + 27 q^{41} - 6 q^{42} - 21 q^{43} - 9 q^{44} + 27 q^{47} - 12 q^{49} + 3 q^{50} + 9 q^{51} - 3 q^{52} - 9 q^{55} + 18 q^{56} + 18 q^{57} - 36 q^{58} + 9 q^{59} + 9 q^{60} - 3 q^{61} + 21 q^{62} - 3 q^{63} - 3 q^{64} - 18 q^{65} - 3 q^{67} + 36 q^{70} + 9 q^{71} - 12 q^{73} - 6 q^{74} + 6 q^{75} + 9 q^{76} + 18 q^{77} + 12 q^{78} - 21 q^{79} - 9 q^{80} - 27 q^{82} - 9 q^{83} + 9 q^{84} + 18 q^{85} - 6 q^{86} - 18 q^{87} + 9 q^{90} + 24 q^{91} - 9 q^{92} + 33 q^{93} - 18 q^{94} + 36 q^{95} - 6 q^{96} - 54 q^{97} - 24 q^{98} + 9 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 0.642788i −0.541675 0.454519i
\(3\) −0.939693 + 0.342020i −0.542532 + 0.197465i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −0.386659 + 2.19285i −0.172919 + 0.980674i 0.767599 + 0.640930i \(0.221451\pi\)
−0.940518 + 0.339743i \(0.889660\pi\)
\(6\) 0.939693 + 0.342020i 0.383628 + 0.139629i
\(7\) 1.32635 + 2.29731i 0.501314 + 0.868301i 0.999999 + 0.00151779i \(0.000483127\pi\)
−0.498685 + 0.866783i \(0.666184\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 0.766044 0.642788i 0.255348 0.214263i
\(10\) 1.70574 1.43128i 0.539401 0.452612i
\(11\) −1.11334 + 1.92836i −0.335685 + 0.581423i −0.983616 0.180276i \(-0.942301\pi\)
0.647931 + 0.761699i \(0.275634\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) 4.97178 + 1.80958i 1.37892 + 0.501887i 0.921852 0.387542i \(-0.126676\pi\)
0.457072 + 0.889430i \(0.348898\pi\)
\(14\) 0.460637 2.61240i 0.123110 0.698194i
\(15\) −0.386659 2.19285i −0.0998350 0.566192i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −2.61334 2.19285i −0.633828 0.531845i 0.268288 0.963339i \(-0.413542\pi\)
−0.902116 + 0.431494i \(0.857987\pi\)
\(18\) −1.00000 −0.235702
\(19\) −4.29813 0.725293i −0.986059 0.166394i
\(20\) −2.22668 −0.497901
\(21\) −2.03209 1.70513i −0.443438 0.372089i
\(22\) 2.09240 0.761570i 0.446100 0.162367i
\(23\) 0.386659 + 2.19285i 0.0806240 + 0.457242i 0.998215 + 0.0597166i \(0.0190197\pi\)
−0.917591 + 0.397525i \(0.869869\pi\)
\(24\) −0.173648 + 0.984808i −0.0354458 + 0.201023i
\(25\) 0.0393628 + 0.0143269i 0.00787257 + 0.00286538i
\(26\) −2.64543 4.58202i −0.518811 0.898608i
\(27\) −0.500000 + 0.866025i −0.0962250 + 0.166667i
\(28\) −2.03209 + 1.70513i −0.384029 + 0.322238i
\(29\) 3.68866 3.09516i 0.684968 0.574756i −0.232486 0.972600i \(-0.574686\pi\)
0.917453 + 0.397844i \(0.130241\pi\)
\(30\) −1.11334 + 1.92836i −0.203267 + 0.352069i
\(31\) −5.15657 8.93145i −0.926148 1.60414i −0.789704 0.613488i \(-0.789766\pi\)
−0.136444 0.990648i \(-0.543567\pi\)
\(32\) 0.939693 + 0.342020i 0.166116 + 0.0604612i
\(33\) 0.386659 2.19285i 0.0673087 0.381727i
\(34\) 0.592396 + 3.35965i 0.101595 + 0.576175i
\(35\) −5.55051 + 2.02022i −0.938207 + 0.341479i
\(36\) 0.766044 + 0.642788i 0.127674 + 0.107131i
\(37\) 2.30541 0.379007 0.189503 0.981880i \(-0.439312\pi\)
0.189503 + 0.981880i \(0.439312\pi\)
\(38\) 2.82635 + 3.31839i 0.458495 + 0.538315i
\(39\) −5.29086 −0.847216
\(40\) 1.70574 + 1.43128i 0.269701 + 0.226306i
\(41\) 6.79813 2.47432i 1.06169 0.386424i 0.248627 0.968599i \(-0.420021\pi\)
0.813063 + 0.582176i \(0.197798\pi\)
\(42\) 0.460637 + 2.61240i 0.0710779 + 0.403103i
\(43\) −1.02822 + 5.83132i −0.156802 + 0.889267i 0.800318 + 0.599576i \(0.204664\pi\)
−0.957120 + 0.289692i \(0.906447\pi\)
\(44\) −2.09240 0.761570i −0.315441 0.114811i
\(45\) 1.11334 + 1.92836i 0.165967 + 0.287463i
\(46\) 1.11334 1.92836i 0.164153 0.284322i
\(47\) 8.43242 7.07564i 1.22999 1.03209i 0.231755 0.972774i \(-0.425553\pi\)
0.998239 0.0593140i \(-0.0188913\pi\)
\(48\) 0.766044 0.642788i 0.110569 0.0927784i
\(49\) −0.0184183 + 0.0319015i −0.00263119 + 0.00455735i
\(50\) −0.0209445 0.0362770i −0.00296200 0.00513034i
\(51\) 3.20574 + 1.16679i 0.448893 + 0.163384i
\(52\) −0.918748 + 5.21048i −0.127407 + 0.722563i
\(53\) 1.70574 + 9.67372i 0.234301 + 1.32879i 0.844081 + 0.536216i \(0.180147\pi\)
−0.609780 + 0.792571i \(0.708742\pi\)
\(54\) 0.939693 0.342020i 0.127876 0.0465430i
\(55\) −3.79813 3.18701i −0.512140 0.429737i
\(56\) 2.65270 0.354482
\(57\) 4.28699 0.788496i 0.567826 0.104439i
\(58\) −4.81521 −0.632268
\(59\) 3.79813 + 3.18701i 0.494475 + 0.414914i 0.855627 0.517593i \(-0.173172\pi\)
−0.361152 + 0.932507i \(0.617616\pi\)
\(60\) 2.09240 0.761570i 0.270127 0.0983183i
\(61\) −0.990200 5.61570i −0.126782 0.719017i −0.980233 0.197844i \(-0.936606\pi\)
0.853451 0.521173i \(-0.174505\pi\)
\(62\) −1.79086 + 10.1565i −0.227439 + 1.28987i
\(63\) 2.49273 + 0.907278i 0.314054 + 0.114306i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −5.89053 + 10.2027i −0.730630 + 1.26549i
\(66\) −1.70574 + 1.43128i −0.209962 + 0.176179i
\(67\) 6.56805 5.51125i 0.802415 0.673306i −0.146370 0.989230i \(-0.546759\pi\)
0.948784 + 0.315924i \(0.102314\pi\)
\(68\) 1.70574 2.95442i 0.206851 0.358276i
\(69\) −1.11334 1.92836i −0.134030 0.232148i
\(70\) 5.55051 + 2.02022i 0.663413 + 0.241462i
\(71\) 0.764700 4.33683i 0.0907532 0.514687i −0.905213 0.424958i \(-0.860289\pi\)
0.995966 0.0897290i \(-0.0286001\pi\)
\(72\) −0.173648 0.984808i −0.0204646 0.116061i
\(73\) 2.62701 0.956154i 0.307468 0.111909i −0.183678 0.982987i \(-0.558800\pi\)
0.491146 + 0.871077i \(0.336578\pi\)
\(74\) −1.76604 1.48189i −0.205298 0.172266i
\(75\) −0.0418891 −0.00483693
\(76\) −0.0320889 4.35878i −0.00368085 0.499986i
\(77\) −5.90673 −0.673134
\(78\) 4.05303 + 3.40090i 0.458916 + 0.385076i
\(79\) −12.9684 + 4.72010i −1.45906 + 0.531053i −0.945105 0.326766i \(-0.894041\pi\)
−0.513951 + 0.857819i \(0.671819\pi\)
\(80\) −0.386659 2.19285i −0.0432298 0.245168i
\(81\) 0.173648 0.984808i 0.0192942 0.109423i
\(82\) −6.79813 2.47432i −0.750728 0.273243i
\(83\) 5.25150 + 9.09586i 0.576427 + 0.998400i 0.995885 + 0.0906256i \(0.0288867\pi\)
−0.419458 + 0.907775i \(0.637780\pi\)
\(84\) 1.32635 2.29731i 0.144717 0.250657i
\(85\) 5.81908 4.88279i 0.631168 0.529613i
\(86\) 4.53596 3.80612i 0.489125 0.410425i
\(87\) −2.40760 + 4.17009i −0.258122 + 0.447081i
\(88\) 1.11334 + 1.92836i 0.118683 + 0.205564i
\(89\) −7.34389 2.67296i −0.778451 0.283333i −0.0779244 0.996959i \(-0.524829\pi\)
−0.700527 + 0.713626i \(0.747052\pi\)
\(90\) 0.386659 2.19285i 0.0407575 0.231147i
\(91\) 2.43717 + 13.8219i 0.255484 + 1.44892i
\(92\) −2.09240 + 0.761570i −0.218147 + 0.0793992i
\(93\) 7.90033 + 6.62916i 0.819226 + 0.687412i
\(94\) −11.0077 −1.13536
\(95\) 3.25237 9.14473i 0.333687 0.938230i
\(96\) −1.00000 −0.102062
\(97\) −13.6270 11.4344i −1.38361 1.16099i −0.967853 0.251515i \(-0.919071\pi\)
−0.415760 0.909474i \(-0.636484\pi\)
\(98\) 0.0346151 0.0125989i 0.00349665 0.00127268i
\(99\) 0.386659 + 2.19285i 0.0388607 + 0.220390i
\(100\) −0.00727396 + 0.0412527i −0.000727396 + 0.00412527i
\(101\) −16.8268 6.12446i −1.67433 0.609407i −0.681815 0.731524i \(-0.738809\pi\)
−0.992516 + 0.122118i \(0.961031\pi\)
\(102\) −1.70574 2.95442i −0.168893 0.292531i
\(103\) −2.12314 + 3.67739i −0.209199 + 0.362344i −0.951463 0.307765i \(-0.900419\pi\)
0.742263 + 0.670108i \(0.233752\pi\)
\(104\) 4.05303 3.40090i 0.397433 0.333486i
\(105\) 4.52481 3.79677i 0.441577 0.370527i
\(106\) 4.91147 8.50692i 0.477045 0.826265i
\(107\) −7.80200 13.5135i −0.754248 1.30640i −0.945747 0.324903i \(-0.894668\pi\)
0.191499 0.981493i \(-0.438665\pi\)
\(108\) −0.939693 0.342020i −0.0904220 0.0329109i
\(109\) −0.236482 + 1.34115i −0.0226508 + 0.128459i −0.994036 0.109049i \(-0.965220\pi\)
0.971386 + 0.237508i \(0.0763306\pi\)
\(110\) 0.860967 + 4.88279i 0.0820900 + 0.465555i
\(111\) −2.16637 + 0.788496i −0.205623 + 0.0748407i
\(112\) −2.03209 1.70513i −0.192014 0.161119i
\(113\) 17.2003 1.61807 0.809033 0.587763i \(-0.199991\pi\)
0.809033 + 0.587763i \(0.199991\pi\)
\(114\) −3.79086 2.15160i −0.355047 0.201516i
\(115\) −4.95811 −0.462346
\(116\) 3.68866 + 3.09516i 0.342484 + 0.287378i
\(117\) 4.97178 1.80958i 0.459641 0.167296i
\(118\) −0.860967 4.88279i −0.0792584 0.449497i
\(119\) 1.57145 8.91215i 0.144055 0.816975i
\(120\) −2.09240 0.761570i −0.191009 0.0695215i
\(121\) 3.02094 + 5.23243i 0.274631 + 0.475675i
\(122\) −2.85117 + 4.93837i −0.258133 + 0.447099i
\(123\) −5.54189 + 4.65020i −0.499695 + 0.419294i
\(124\) 7.90033 6.62916i 0.709471 0.595316i
\(125\) −5.61334 + 9.72259i −0.502072 + 0.869615i
\(126\) −1.32635 2.29731i −0.118161 0.204661i
\(127\) 12.3969 + 4.51211i 1.10005 + 0.400385i 0.827334 0.561710i \(-0.189856\pi\)
0.272715 + 0.962095i \(0.412078\pi\)
\(128\) −0.173648 + 0.984808i −0.0153485 + 0.0870455i
\(129\) −1.02822 5.83132i −0.0905296 0.513419i
\(130\) 11.0706 4.02936i 0.970954 0.353398i
\(131\) 5.74763 + 4.82283i 0.502172 + 0.421373i 0.858365 0.513040i \(-0.171481\pi\)
−0.356192 + 0.934413i \(0.615925\pi\)
\(132\) 2.22668 0.193808
\(133\) −4.03462 10.8361i −0.349845 0.939612i
\(134\) −8.57398 −0.740679
\(135\) −1.70574 1.43128i −0.146806 0.123185i
\(136\) −3.20574 + 1.16679i −0.274890 + 0.100052i
\(137\) 1.15136 + 6.52968i 0.0983673 + 0.557869i 0.993663 + 0.112397i \(0.0358528\pi\)
−0.895296 + 0.445472i \(0.853036\pi\)
\(138\) −0.386659 + 2.19285i −0.0329146 + 0.186668i
\(139\) 7.99660 + 2.91052i 0.678262 + 0.246867i 0.658101 0.752929i \(-0.271360\pi\)
0.0201612 + 0.999797i \(0.493582\pi\)
\(140\) −2.95336 5.11538i −0.249605 0.432328i
\(141\) −5.50387 + 9.53298i −0.463510 + 0.802822i
\(142\) −3.37346 + 2.83067i −0.283094 + 0.237544i
\(143\) −9.02481 + 7.57272i −0.754693 + 0.633263i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 5.36097 + 9.28547i 0.445204 + 0.771116i
\(146\) −2.62701 0.956154i −0.217413 0.0791319i
\(147\) 0.00639661 0.0362770i 0.000527584 0.00299208i
\(148\) 0.400330 + 2.27038i 0.0329069 + 0.186624i
\(149\) 3.20574 1.16679i 0.262624 0.0955874i −0.207352 0.978266i \(-0.566485\pi\)
0.469976 + 0.882679i \(0.344262\pi\)
\(150\) 0.0320889 + 0.0269258i 0.00262005 + 0.00219848i
\(151\) 3.04189 0.247545 0.123773 0.992311i \(-0.460501\pi\)
0.123773 + 0.992311i \(0.460501\pi\)
\(152\) −2.77719 + 3.35965i −0.225260 + 0.272503i
\(153\) −3.41147 −0.275801
\(154\) 4.52481 + 3.79677i 0.364620 + 0.305952i
\(155\) 21.5792 7.85418i 1.73328 0.630863i
\(156\) −0.918748 5.21048i −0.0735587 0.417172i
\(157\) −2.69594 + 15.2894i −0.215159 + 1.22023i 0.665471 + 0.746424i \(0.268231\pi\)
−0.880630 + 0.473805i \(0.842880\pi\)
\(158\) 12.9684 + 4.72010i 1.03171 + 0.375511i
\(159\) −4.91147 8.50692i −0.389505 0.674643i
\(160\) −1.11334 + 1.92836i −0.0880173 + 0.152450i
\(161\) −4.52481 + 3.79677i −0.356605 + 0.299227i
\(162\) −0.766044 + 0.642788i −0.0601861 + 0.0505022i
\(163\) −2.21941 + 3.84413i −0.173837 + 0.301095i −0.939758 0.341840i \(-0.888950\pi\)
0.765921 + 0.642935i \(0.222283\pi\)
\(164\) 3.61721 + 6.26519i 0.282457 + 0.489229i
\(165\) 4.65910 + 1.69577i 0.362710 + 0.132016i
\(166\) 1.82383 10.3434i 0.141556 0.802806i
\(167\) −1.41534 8.02682i −0.109523 0.621134i −0.989317 0.145779i \(-0.953431\pi\)
0.879794 0.475354i \(-0.157680\pi\)
\(168\) −2.49273 + 0.907278i −0.192318 + 0.0699980i
\(169\) 11.4855 + 9.63744i 0.883496 + 0.741341i
\(170\) −7.59627 −0.582607
\(171\) −3.75877 + 2.20718i −0.287440 + 0.168787i
\(172\) −5.92127 −0.451493
\(173\) −12.2306 10.2627i −0.929872 0.780255i 0.0459227 0.998945i \(-0.485377\pi\)
−0.975794 + 0.218690i \(0.929822\pi\)
\(174\) 4.52481 1.64690i 0.343025 0.124851i
\(175\) 0.0192957 + 0.109431i 0.00145861 + 0.00827222i
\(176\) 0.386659 2.19285i 0.0291455 0.165293i
\(177\) −4.65910 1.69577i −0.350199 0.127462i
\(178\) 3.90760 + 6.76817i 0.292887 + 0.507296i
\(179\) −0.726682 + 1.25865i −0.0543147 + 0.0940759i −0.891904 0.452224i \(-0.850631\pi\)
0.837590 + 0.546300i \(0.183964\pi\)
\(180\) −1.70574 + 1.43128i −0.127138 + 0.106682i
\(181\) −0.862311 + 0.723565i −0.0640951 + 0.0537822i −0.674272 0.738483i \(-0.735543\pi\)
0.610177 + 0.792265i \(0.291098\pi\)
\(182\) 7.01754 12.1547i 0.520175 0.900969i
\(183\) 2.85117 + 4.93837i 0.210764 + 0.365054i
\(184\) 2.09240 + 0.761570i 0.154253 + 0.0561437i
\(185\) −0.891407 + 5.05542i −0.0655375 + 0.371682i
\(186\) −1.79086 10.1565i −0.131312 0.744708i
\(187\) 7.13816 2.59808i 0.521994 0.189990i
\(188\) 8.43242 + 7.07564i 0.614997 + 0.516044i
\(189\) −2.65270 −0.192956
\(190\) −8.36959 + 4.91469i −0.607194 + 0.356549i
\(191\) −1.32770 −0.0960687 −0.0480344 0.998846i \(-0.515296\pi\)
−0.0480344 + 0.998846i \(0.515296\pi\)
\(192\) 0.766044 + 0.642788i 0.0552845 + 0.0463892i
\(193\) −14.0817 + 5.12533i −1.01362 + 0.368929i −0.794824 0.606841i \(-0.792437\pi\)
−0.218801 + 0.975770i \(0.570214\pi\)
\(194\) 3.08899 + 17.5185i 0.221777 + 1.25776i
\(195\) 2.04576 11.6021i 0.146500 0.830842i
\(196\) −0.0346151 0.0125989i −0.00247251 0.000899919i
\(197\) −11.5039 19.9253i −0.819617 1.41962i −0.905965 0.423353i \(-0.860853\pi\)
0.0863480 0.996265i \(-0.472480\pi\)
\(198\) 1.11334 1.92836i 0.0791217 0.137043i
\(199\) 7.41740 6.22394i 0.525806 0.441203i −0.340844 0.940120i \(-0.610713\pi\)
0.866650 + 0.498916i \(0.166268\pi\)
\(200\) 0.0320889 0.0269258i 0.00226903 0.00190394i
\(201\) −4.28699 + 7.42528i −0.302381 + 0.523739i
\(202\) 8.95336 + 15.5077i 0.629956 + 1.09112i
\(203\) 12.0030 + 4.36873i 0.842445 + 0.306625i
\(204\) −0.592396 + 3.35965i −0.0414760 + 0.235222i
\(205\) 2.79726 + 15.8640i 0.195369 + 1.10799i
\(206\) 3.99020 1.45231i 0.278010 0.101188i
\(207\) 1.70574 + 1.43128i 0.118557 + 0.0994811i
\(208\) −5.29086 −0.366855
\(209\) 6.18392 7.48086i 0.427750 0.517462i
\(210\) −5.90673 −0.407603
\(211\) −0.847296 0.710966i −0.0583303 0.0489449i 0.613156 0.789962i \(-0.289900\pi\)
−0.671487 + 0.741017i \(0.734344\pi\)
\(212\) −9.23055 + 3.35965i −0.633957 + 0.230741i
\(213\) 0.764700 + 4.33683i 0.0523964 + 0.297155i
\(214\) −2.70961 + 15.3669i −0.185225 + 1.05046i
\(215\) −12.3897 4.50946i −0.844967 0.307543i
\(216\) 0.500000 + 0.866025i 0.0340207 + 0.0589256i
\(217\) 13.6789 23.6925i 0.928582 1.60835i
\(218\) 1.04323 0.875377i 0.0706567 0.0592880i
\(219\) −2.14156 + 1.79698i −0.144713 + 0.121429i
\(220\) 2.47906 4.29385i 0.167138 0.289491i
\(221\) −9.02481 15.6314i −0.607075 1.05148i
\(222\) 2.16637 + 0.788496i 0.145398 + 0.0529204i
\(223\) 4.39100 24.9026i 0.294043 1.66760i −0.377024 0.926203i \(-0.623053\pi\)
0.671067 0.741397i \(-0.265836\pi\)
\(224\) 0.460637 + 2.61240i 0.0307776 + 0.174549i
\(225\) 0.0393628 0.0143269i 0.00262419 0.000955127i
\(226\) −13.1762 11.0561i −0.876466 0.735442i
\(227\) 3.42871 0.227572 0.113786 0.993505i \(-0.463702\pi\)
0.113786 + 0.993505i \(0.463702\pi\)
\(228\) 1.52094 + 4.08494i 0.100727 + 0.270532i
\(229\) 29.9418 1.97861 0.989305 0.145860i \(-0.0465950\pi\)
0.989305 + 0.145860i \(0.0465950\pi\)
\(230\) 3.79813 + 3.18701i 0.250441 + 0.210145i
\(231\) 5.55051 2.02022i 0.365197 0.132921i
\(232\) −0.836152 4.74205i −0.0548961 0.311331i
\(233\) −1.80200 + 10.2197i −0.118053 + 0.669513i 0.867140 + 0.498065i \(0.165956\pi\)
−0.985193 + 0.171448i \(0.945155\pi\)
\(234\) −4.97178 1.80958i −0.325016 0.118296i
\(235\) 12.2554 + 21.2269i 0.799452 + 1.38469i
\(236\) −2.47906 + 4.29385i −0.161373 + 0.279506i
\(237\) 10.5719 8.87089i 0.686720 0.576226i
\(238\) −6.93242 + 5.81699i −0.449362 + 0.377059i
\(239\) 8.00774 13.8698i 0.517978 0.897164i −0.481804 0.876279i \(-0.660018\pi\)
0.999782 0.0208848i \(-0.00664831\pi\)
\(240\) 1.11334 + 1.92836i 0.0718658 + 0.124475i
\(241\) −24.0390 8.74946i −1.54849 0.563602i −0.580423 0.814315i \(-0.697113\pi\)
−0.968062 + 0.250712i \(0.919335\pi\)
\(242\) 1.04916 5.95010i 0.0674428 0.382487i
\(243\) 0.173648 + 0.984808i 0.0111395 + 0.0631754i
\(244\) 5.35844 1.95031i 0.343039 0.124856i
\(245\) −0.0628336 0.0527236i −0.00401429 0.00336839i
\(246\) 7.23442 0.461250
\(247\) −20.0569 11.3838i −1.27619 0.724335i
\(248\) −10.3131 −0.654886
\(249\) −8.04576 6.75119i −0.509879 0.427840i
\(250\) 10.5496 3.83975i 0.667217 0.242847i
\(251\) 1.85622 + 10.5271i 0.117164 + 0.664467i 0.985656 + 0.168765i \(0.0539780\pi\)
−0.868493 + 0.495702i \(0.834911\pi\)
\(252\) −0.460637 + 2.61240i −0.0290174 + 0.164566i
\(253\) −4.65910 1.69577i −0.292915 0.106612i
\(254\) −6.59627 11.4251i −0.413887 0.716873i
\(255\) −3.79813 + 6.57856i −0.237848 + 0.411965i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −23.5783 + 19.7846i −1.47077 + 1.23413i −0.555363 + 0.831608i \(0.687421\pi\)
−0.915412 + 0.402519i \(0.868135\pi\)
\(258\) −2.96064 + 5.12797i −0.184321 + 0.319254i
\(259\) 3.05778 + 5.29623i 0.190001 + 0.329092i
\(260\) −11.0706 4.02936i −0.686568 0.249890i
\(261\) 0.836152 4.74205i 0.0517565 0.293526i
\(262\) −1.30288 7.38901i −0.0804923 0.456494i
\(263\) −2.95336 + 1.07494i −0.182112 + 0.0662834i −0.431467 0.902129i \(-0.642004\pi\)
0.249355 + 0.968412i \(0.419782\pi\)
\(264\) −1.70574 1.43128i −0.104981 0.0880894i
\(265\) −21.8726 −1.34362
\(266\) −3.87464 + 10.8944i −0.237569 + 0.667976i
\(267\) 7.81521 0.478283
\(268\) 6.56805 + 5.51125i 0.401207 + 0.336653i
\(269\) −13.9829 + 5.08937i −0.852554 + 0.310304i −0.731081 0.682290i \(-0.760984\pi\)
−0.121473 + 0.992595i \(0.538762\pi\)
\(270\) 0.386659 + 2.19285i 0.0235313 + 0.133453i
\(271\) 2.64543 15.0030i 0.160698 0.911366i −0.792691 0.609624i \(-0.791321\pi\)
0.953389 0.301742i \(-0.0975683\pi\)
\(272\) 3.20574 + 1.16679i 0.194376 + 0.0707472i
\(273\) −7.01754 12.1547i −0.424721 0.735638i
\(274\) 3.31521 5.74211i 0.200279 0.346893i
\(275\) −0.0714517 + 0.0599551i −0.00430870 + 0.00361543i
\(276\) 1.70574 1.43128i 0.102673 0.0861531i
\(277\) 6.10472 10.5737i 0.366797 0.635311i −0.622266 0.782806i \(-0.713788\pi\)
0.989063 + 0.147495i \(0.0471209\pi\)
\(278\) −4.25490 7.36970i −0.255192 0.442005i
\(279\) −9.69119 3.52730i −0.580196 0.211174i
\(280\) −1.02569 + 5.81699i −0.0612968 + 0.347632i
\(281\) −0.389652 2.20983i −0.0232447 0.131827i 0.970977 0.239172i \(-0.0768761\pi\)
−0.994222 + 0.107345i \(0.965765\pi\)
\(282\) 10.3439 3.76487i 0.615970 0.224195i
\(283\) −11.3289 9.50606i −0.673432 0.565076i 0.240647 0.970613i \(-0.422640\pi\)
−0.914079 + 0.405536i \(0.867085\pi\)
\(284\) 4.40373 0.261313
\(285\) 0.0714517 + 9.70562i 0.00423244 + 0.574911i
\(286\) 11.7811 0.696629
\(287\) 14.7010 + 12.3356i 0.867772 + 0.728147i
\(288\) 0.939693 0.342020i 0.0553719 0.0201537i
\(289\) −0.931074 5.28039i −0.0547691 0.310611i
\(290\) 1.86184 10.5590i 0.109331 0.620048i
\(291\) 16.7160 + 6.08413i 0.979910 + 0.356658i
\(292\) 1.39780 + 2.42107i 0.0818003 + 0.141682i
\(293\) 6.02481 10.4353i 0.351973 0.609636i −0.634622 0.772823i \(-0.718844\pi\)
0.986595 + 0.163187i \(0.0521774\pi\)
\(294\) −0.0282185 + 0.0236781i −0.00164574 + 0.00138094i
\(295\) −8.45723 + 7.09646i −0.492399 + 0.413172i
\(296\) 1.15270 1.99654i 0.0669995 0.116047i
\(297\) −1.11334 1.92836i −0.0646026 0.111895i
\(298\) −3.20574 1.16679i −0.185703 0.0675905i
\(299\) −2.04576 + 11.6021i −0.118309 + 0.670966i
\(300\) −0.00727396 0.0412527i −0.000419962 0.00238172i
\(301\) −14.7601 + 5.37224i −0.850759 + 0.309651i
\(302\) −2.33022 1.95529i −0.134089 0.112514i
\(303\) 17.9067 1.02871
\(304\) 4.28699 0.788496i 0.245876 0.0452233i
\(305\) 12.6973 0.727044
\(306\) 2.61334 + 2.19285i 0.149395 + 0.125357i
\(307\) −21.2319 + 7.72778i −1.21177 + 0.441048i −0.867317 0.497757i \(-0.834157\pi\)
−0.344452 + 0.938804i \(0.611935\pi\)
\(308\) −1.02569 5.81699i −0.0584442 0.331454i
\(309\) 0.737359 4.18177i 0.0419469 0.237893i
\(310\) −21.5792 7.85418i −1.22562 0.446088i
\(311\) 5.66297 + 9.80855i 0.321118 + 0.556192i 0.980719 0.195424i \(-0.0626082\pi\)
−0.659601 + 0.751616i \(0.729275\pi\)
\(312\) −2.64543 + 4.58202i −0.149768 + 0.259406i
\(313\) −4.56418 + 3.82980i −0.257983 + 0.216473i −0.762601 0.646870i \(-0.776078\pi\)
0.504618 + 0.863343i \(0.331633\pi\)
\(314\) 11.8931 9.97946i 0.671164 0.563173i
\(315\) −2.95336 + 5.11538i −0.166403 + 0.288219i
\(316\) −6.90033 11.9517i −0.388174 0.672337i
\(317\) 8.38578 + 3.05217i 0.470992 + 0.171427i 0.566602 0.823992i \(-0.308258\pi\)
−0.0956094 + 0.995419i \(0.530480\pi\)
\(318\) −1.70574 + 9.67372i −0.0956530 + 0.542475i
\(319\) 1.86184 + 10.5590i 0.104243 + 0.591193i
\(320\) 2.09240 0.761570i 0.116969 0.0425731i
\(321\) 11.9534 + 10.0301i 0.667172 + 0.559824i
\(322\) 5.90673 0.329169
\(323\) 9.64203 + 11.3206i 0.536497 + 0.629896i
\(324\) 1.00000 0.0555556
\(325\) 0.169778 + 0.142460i 0.00941758 + 0.00790229i
\(326\) 4.17112 1.51816i 0.231017 0.0840833i
\(327\) −0.236482 1.34115i −0.0130775 0.0741660i
\(328\) 1.25624 7.12452i 0.0693645 0.393386i
\(329\) 27.4393 + 9.98708i 1.51278 + 0.550606i
\(330\) −2.47906 4.29385i −0.136468 0.236369i
\(331\) −3.32976 + 5.76731i −0.183020 + 0.317000i −0.942908 0.333055i \(-0.891921\pi\)
0.759888 + 0.650054i \(0.225254\pi\)
\(332\) −8.04576 + 6.75119i −0.441568 + 0.370520i
\(333\) 1.76604 1.48189i 0.0967786 0.0812069i
\(334\) −4.07532 + 7.05866i −0.222992 + 0.386233i
\(335\) 9.54576 + 16.5337i 0.521541 + 0.903335i
\(336\) 2.49273 + 0.907278i 0.135989 + 0.0494961i
\(337\) −1.88057 + 10.6652i −0.102441 + 0.580972i 0.889771 + 0.456408i \(0.150864\pi\)
−0.992212 + 0.124564i \(0.960247\pi\)
\(338\) −2.60354 14.7654i −0.141614 0.803133i
\(339\) −16.1630 + 5.88284i −0.877852 + 0.319512i
\(340\) 5.81908 + 4.88279i 0.315584 + 0.264806i
\(341\) 22.9641 1.24358
\(342\) 4.29813 + 0.725293i 0.232416 + 0.0392194i
\(343\) 18.4712 0.997352
\(344\) 4.53596 + 3.80612i 0.244563 + 0.205212i
\(345\) 4.65910 1.69577i 0.250838 0.0912974i
\(346\) 2.77244 + 15.7233i 0.149047 + 0.845290i
\(347\) 3.58781 20.3475i 0.192604 1.09231i −0.723186 0.690653i \(-0.757323\pi\)
0.915790 0.401657i \(-0.131566\pi\)
\(348\) −4.52481 1.64690i −0.242556 0.0882830i
\(349\) 1.01976 + 1.76628i 0.0545866 + 0.0945468i 0.892028 0.451981i \(-0.149283\pi\)
−0.837441 + 0.546528i \(0.815949\pi\)
\(350\) 0.0555596 0.0962321i 0.00296979 0.00514382i
\(351\) −4.05303 + 3.40090i −0.216335 + 0.181527i
\(352\) −1.70574 + 1.43128i −0.0909161 + 0.0762877i
\(353\) −15.6506 + 27.1077i −0.833000 + 1.44280i 0.0626489 + 0.998036i \(0.480045\pi\)
−0.895649 + 0.444762i \(0.853288\pi\)
\(354\) 2.47906 + 4.29385i 0.131760 + 0.228216i
\(355\) 9.21436 + 3.35375i 0.489047 + 0.177999i
\(356\) 1.35710 7.69648i 0.0719260 0.407912i
\(357\) 1.57145 + 8.91215i 0.0831700 + 0.471681i
\(358\) 1.36571 0.497079i 0.0721803 0.0262715i
\(359\) −6.82295 5.72513i −0.360101 0.302161i 0.444730 0.895665i \(-0.353300\pi\)
−0.804831 + 0.593504i \(0.797744\pi\)
\(360\) 2.22668 0.117356
\(361\) 17.9479 + 6.23481i 0.944626 + 0.328148i
\(362\) 1.12567 0.0591638
\(363\) −4.62836 3.88365i −0.242926 0.203839i
\(364\) −13.1887 + 4.80028i −0.691274 + 0.251603i
\(365\) 1.08095 + 6.13036i 0.0565794 + 0.320878i
\(366\) 0.990200 5.61570i 0.0517586 0.293537i
\(367\) −3.23308 1.17674i −0.168765 0.0614255i 0.256256 0.966609i \(-0.417511\pi\)
−0.425021 + 0.905183i \(0.639733\pi\)
\(368\) −1.11334 1.92836i −0.0580369 0.100523i
\(369\) 3.61721 6.26519i 0.188304 0.326153i
\(370\) 3.93242 3.29969i 0.204437 0.171543i
\(371\) −19.9611 + 16.7494i −1.03633 + 0.869583i
\(372\) −5.15657 + 8.93145i −0.267356 + 0.463074i
\(373\) 3.15998 + 5.47324i 0.163617 + 0.283394i 0.936163 0.351565i \(-0.114350\pi\)
−0.772546 + 0.634959i \(0.781017\pi\)
\(374\) −7.13816 2.59808i −0.369105 0.134343i
\(375\) 1.94949 11.0561i 0.100671 0.570936i
\(376\) −1.91147 10.8405i −0.0985768 0.559057i
\(377\) 23.9402 8.71351i 1.23298 0.448768i
\(378\) 2.03209 + 1.70513i 0.104519 + 0.0877022i
\(379\) −14.4074 −0.740056 −0.370028 0.929021i \(-0.620652\pi\)
−0.370028 + 0.929021i \(0.620652\pi\)
\(380\) 9.57057 + 1.61500i 0.490960 + 0.0828476i
\(381\) −13.1925 −0.675874
\(382\) 1.01707 + 0.853427i 0.0520380 + 0.0436651i
\(383\) 1.77719 0.646844i 0.0908101 0.0330522i −0.296216 0.955121i \(-0.595725\pi\)
0.387026 + 0.922069i \(0.373502\pi\)
\(384\) −0.173648 0.984808i −0.00886145 0.0502558i
\(385\) 2.28389 12.9526i 0.116398 0.660125i
\(386\) 14.0817 + 5.12533i 0.716741 + 0.260872i
\(387\) 2.96064 + 5.12797i 0.150498 + 0.260670i
\(388\) 8.89440 15.4056i 0.451545 0.782098i
\(389\) −5.65136 + 4.74205i −0.286535 + 0.240432i −0.774714 0.632312i \(-0.782106\pi\)
0.488178 + 0.872744i \(0.337662\pi\)
\(390\) −9.02481 + 7.57272i −0.456989 + 0.383460i
\(391\) 3.79813 6.57856i 0.192080 0.332692i
\(392\) 0.0184183 + 0.0319015i 0.000930265 + 0.00161127i
\(393\) −7.05051 2.56617i −0.355651 0.129446i
\(394\) −3.99525 + 22.6582i −0.201278 + 1.14150i
\(395\) −5.33615 30.2628i −0.268491 1.52269i
\(396\) −2.09240 + 0.761570i −0.105147 + 0.0382703i
\(397\) −8.86824 7.44134i −0.445084 0.373470i 0.392524 0.919742i \(-0.371602\pi\)
−0.837608 + 0.546272i \(0.816047\pi\)
\(398\) −9.68273 −0.485352
\(399\) 7.49747 + 8.80271i 0.375343 + 0.440687i
\(400\) −0.0418891 −0.00209445
\(401\) 11.6514 + 9.77665i 0.581841 + 0.488223i 0.885551 0.464542i \(-0.153781\pi\)
−0.303710 + 0.952765i \(0.598225\pi\)
\(402\) 8.05690 2.93247i 0.401842 0.146258i
\(403\) −9.47519 53.7364i −0.471993 2.67680i
\(404\) 3.10947 17.6347i 0.154702 0.877358i
\(405\) 2.09240 + 0.761570i 0.103972 + 0.0378427i
\(406\) −6.38666 11.0620i −0.316965 0.548999i
\(407\) −2.56670 + 4.44566i −0.127227 + 0.220363i
\(408\) 2.61334 2.19285i 0.129380 0.108562i
\(409\) −1.17293 + 0.984208i −0.0579978 + 0.0486659i −0.671326 0.741162i \(-0.734275\pi\)
0.613328 + 0.789828i \(0.289830\pi\)
\(410\) 8.05438 13.9506i 0.397777 0.688971i
\(411\) −3.31521 5.74211i −0.163527 0.283237i
\(412\) −3.99020 1.45231i −0.196583 0.0715504i
\(413\) −2.28389 + 12.9526i −0.112383 + 0.637355i
\(414\) −0.386659 2.19285i −0.0190033 0.107773i
\(415\) −21.9764 + 7.99876i −1.07878 + 0.392644i
\(416\) 4.05303 + 3.40090i 0.198716 + 0.166743i
\(417\) −8.50980 −0.416727
\(418\) −9.54576 + 1.75573i −0.466898 + 0.0858755i
\(419\) −26.7374 −1.30621 −0.653104 0.757268i \(-0.726534\pi\)
−0.653104 + 0.757268i \(0.726534\pi\)
\(420\) 4.52481 + 3.79677i 0.220788 + 0.185263i
\(421\) −22.4329 + 8.16490i −1.09331 + 0.397933i −0.824847 0.565356i \(-0.808739\pi\)
−0.268465 + 0.963289i \(0.586516\pi\)
\(422\) 0.192066 + 1.08926i 0.00934965 + 0.0530245i
\(423\) 1.91147 10.8405i 0.0929391 0.527084i
\(424\) 9.23055 + 3.35965i 0.448275 + 0.163159i
\(425\) −0.0714517 0.123758i −0.00346592 0.00600315i
\(426\) 2.20187 3.81374i 0.106681 0.184777i
\(427\) 11.5876 9.72319i 0.560766 0.470538i
\(428\) 11.9534 10.0301i 0.577788 0.484821i
\(429\) 5.89053 10.2027i 0.284397 0.492591i
\(430\) 6.59240 + 11.4184i 0.317914 + 0.550642i
\(431\) −14.8277 5.39684i −0.714225 0.259957i −0.0407529 0.999169i \(-0.512976\pi\)
−0.673472 + 0.739213i \(0.735198\pi\)
\(432\) 0.173648 0.984808i 0.00835465 0.0473816i
\(433\) −2.33006 13.2144i −0.111976 0.635045i −0.988203 0.153148i \(-0.951059\pi\)
0.876228 0.481897i \(-0.160052\pi\)
\(434\) −25.7079 + 9.35689i −1.23402 + 0.449145i
\(435\) −8.21348 6.89193i −0.393806 0.330443i
\(436\) −1.36184 −0.0652205
\(437\) −0.0714517 9.70562i −0.00341800 0.464283i
\(438\) 2.79561 0.133579
\(439\) 14.4795 + 12.1498i 0.691070 + 0.579876i 0.919218 0.393750i \(-0.128822\pi\)
−0.228148 + 0.973627i \(0.573267\pi\)
\(440\) −4.65910 + 1.69577i −0.222114 + 0.0808428i
\(441\) 0.00639661 + 0.0362770i 0.000304601 + 0.00172748i
\(442\) −3.13429 + 17.7754i −0.149083 + 0.845490i
\(443\) 10.6125 + 3.86262i 0.504213 + 0.183519i 0.581588 0.813483i \(-0.302432\pi\)
−0.0773747 + 0.997002i \(0.524654\pi\)
\(444\) −1.15270 1.99654i −0.0547049 0.0947517i
\(445\) 8.70099 15.0706i 0.412466 0.714413i
\(446\) −19.3708 + 16.2540i −0.917232 + 0.769649i
\(447\) −2.61334 + 2.19285i −0.123607 + 0.103718i
\(448\) 1.32635 2.29731i 0.0626642 0.108538i
\(449\) 4.37733 + 7.58175i 0.206579 + 0.357805i 0.950635 0.310313i \(-0.100434\pi\)
−0.744056 + 0.668117i \(0.767100\pi\)
\(450\) −0.0393628 0.0143269i −0.00185558 0.000675377i
\(451\) −2.79726 + 15.8640i −0.131718 + 0.747008i
\(452\) 2.98680 + 16.9390i 0.140487 + 0.796742i
\(453\) −2.85844 + 1.04039i −0.134301 + 0.0488817i
\(454\) −2.62654 2.20393i −0.123270 0.103436i
\(455\) −31.2517 −1.46510
\(456\) 1.46064 4.10689i 0.0684006 0.192323i
\(457\) 23.8334 1.11488 0.557439 0.830218i \(-0.311784\pi\)
0.557439 + 0.830218i \(0.311784\pi\)
\(458\) −22.9368 19.2462i −1.07176 0.899317i
\(459\) 3.20574 1.16679i 0.149631 0.0544612i
\(460\) −0.860967 4.88279i −0.0401428 0.227661i
\(461\) 2.73442 15.5077i 0.127355 0.722265i −0.852527 0.522684i \(-0.824931\pi\)
0.979881 0.199581i \(-0.0639581\pi\)
\(462\) −5.55051 2.02022i −0.258233 0.0939891i
\(463\) 2.18732 + 3.78855i 0.101653 + 0.176069i 0.912366 0.409376i \(-0.134253\pi\)
−0.810713 + 0.585444i \(0.800920\pi\)
\(464\) −2.40760 + 4.17009i −0.111770 + 0.193592i
\(465\) −17.5915 + 14.7610i −0.815787 + 0.684527i
\(466\) 7.94949 6.67042i 0.368253 0.309001i
\(467\) −13.0535 + 22.6093i −0.604044 + 1.04623i 0.388158 + 0.921593i \(0.373112\pi\)
−0.992202 + 0.124642i \(0.960222\pi\)
\(468\) 2.64543 + 4.58202i 0.122285 + 0.211804i
\(469\) 21.3726 + 7.77898i 0.986894 + 0.359200i
\(470\) 4.25624 24.1384i 0.196326 1.11342i
\(471\) −2.69594 15.2894i −0.124222 0.704499i
\(472\) 4.65910 1.69577i 0.214452 0.0780543i
\(473\) −10.1001 8.47502i −0.464405 0.389682i
\(474\) −13.8007 −0.633885
\(475\) −0.158796 0.0901285i −0.00728604 0.00413538i
\(476\) 9.04963 0.414789
\(477\) 7.52481 + 6.31407i 0.344538 + 0.289101i
\(478\) −15.0496 + 5.47762i −0.688354 + 0.250540i
\(479\) −5.92556 33.6055i −0.270746 1.53547i −0.752160 0.658981i \(-0.770988\pi\)
0.481414 0.876493i \(-0.340123\pi\)
\(480\) 0.386659 2.19285i 0.0176485 0.100090i
\(481\) 11.4620 + 4.17182i 0.522621 + 0.190219i
\(482\) 12.7909 + 22.1544i 0.582608 + 1.00911i
\(483\) 2.95336 5.11538i 0.134383 0.232758i
\(484\) −4.62836 + 3.88365i −0.210380 + 0.176530i
\(485\) 30.3430 25.4608i 1.37781 1.15612i
\(486\) 0.500000 0.866025i 0.0226805 0.0392837i
\(487\) 7.88191 + 13.6519i 0.357164 + 0.618625i 0.987486 0.157708i \(-0.0504106\pi\)
−0.630322 + 0.776334i \(0.717077\pi\)
\(488\) −5.35844 1.95031i −0.242565 0.0882865i
\(489\) 0.770792 4.37138i 0.0348564 0.197681i
\(490\) 0.0142432 + 0.0807773i 0.000643443 + 0.00364915i
\(491\) −13.0039 + 4.73302i −0.586856 + 0.213598i −0.618346 0.785906i \(-0.712197\pi\)
0.0314898 + 0.999504i \(0.489975\pi\)
\(492\) −5.54189 4.65020i −0.249848 0.209647i
\(493\) −16.4270 −0.739833
\(494\) 8.04710 + 21.6128i 0.362056 + 0.972408i
\(495\) −4.95811 −0.222851
\(496\) 7.90033 + 6.62916i 0.354735 + 0.297658i
\(497\) 10.9773 3.99541i 0.492399 0.179219i
\(498\) 1.82383 + 10.3434i 0.0817276 + 0.463500i
\(499\) −3.46064 + 19.6262i −0.154919 + 0.878592i 0.803940 + 0.594710i \(0.202733\pi\)
−0.958859 + 0.283881i \(0.908378\pi\)
\(500\) −10.5496 3.83975i −0.471794 0.171719i
\(501\) 4.07532 + 7.05866i 0.182072 + 0.315358i
\(502\) 5.34477 9.25741i 0.238549 0.413179i
\(503\) −11.3990 + 9.56488i −0.508256 + 0.426477i −0.860515 0.509425i \(-0.829858\pi\)
0.352259 + 0.935902i \(0.385414\pi\)
\(504\) 2.03209 1.70513i 0.0905164 0.0759523i
\(505\) 19.9363 34.5307i 0.887153 1.53659i
\(506\) 2.47906 + 4.29385i 0.110207 + 0.190885i
\(507\) −14.0890 5.12797i −0.625714 0.227741i
\(508\) −2.29086 + 12.9921i −0.101640 + 0.576432i
\(509\) −6.37046 36.1287i −0.282366 1.60138i −0.714546 0.699589i \(-0.753367\pi\)
0.432180 0.901787i \(-0.357744\pi\)
\(510\) 7.13816 2.59808i 0.316083 0.115045i
\(511\) 5.68092 + 4.76686i 0.251309 + 0.210873i
\(512\) −1.00000 −0.0441942
\(513\) 2.77719 3.35965i 0.122616 0.148332i
\(514\) 30.7793 1.35762
\(515\) −7.24304 6.07763i −0.319166 0.267812i
\(516\) 5.56418 2.02520i 0.244949 0.0891542i
\(517\) 4.25624 + 24.1384i 0.187189 + 1.06160i
\(518\) 1.06196 6.02265i 0.0466597 0.264620i
\(519\) 15.0030 + 5.46064i 0.658558 + 0.239696i
\(520\) 5.89053 + 10.2027i 0.258317 + 0.447418i
\(521\) 18.7677 32.5066i 0.822228 1.42414i −0.0817923 0.996649i \(-0.526064\pi\)
0.904020 0.427491i \(-0.140602\pi\)
\(522\) −3.68866 + 3.09516i −0.161448 + 0.135471i
\(523\) 0.304063 0.255139i 0.0132958 0.0111565i −0.636116 0.771594i \(-0.719460\pi\)
0.649411 + 0.760437i \(0.275015\pi\)
\(524\) −3.75150 + 6.49778i −0.163885 + 0.283857i
\(525\) −0.0555596 0.0962321i −0.00242482 0.00419991i
\(526\) 2.95336 + 1.07494i 0.128773 + 0.0468694i
\(527\) −6.10947 + 34.6485i −0.266133 + 1.50931i
\(528\) 0.386659 + 2.19285i 0.0168272 + 0.0954317i
\(529\) 16.9538 6.17069i 0.737123 0.268291i
\(530\) 16.7554 + 14.0594i 0.727807 + 0.610702i
\(531\) 4.95811 0.215164
\(532\) 9.97090 5.85499i 0.432294 0.253846i
\(533\) 38.2763 1.65793
\(534\) −5.98680 5.02352i −0.259074 0.217389i
\(535\) 32.6498 11.8835i 1.41157 0.513770i
\(536\) −1.48886 8.44372i −0.0643088 0.364713i
\(537\) 0.252374 1.43128i 0.0108907 0.0617644i
\(538\) 13.9829 + 5.08937i 0.602847 + 0.219418i
\(539\) −0.0410117 0.0710344i −0.00176650 0.00305967i
\(540\) 1.11334 1.92836i 0.0479106 0.0829835i
\(541\) −15.9730 + 13.4029i −0.686731 + 0.576236i −0.917965 0.396662i \(-0.870168\pi\)
0.231233 + 0.972898i \(0.425724\pi\)
\(542\) −11.6702 + 9.79250i −0.501280 + 0.420624i
\(543\) 0.562834 0.974856i 0.0241535 0.0418351i
\(544\) −1.70574 2.95442i −0.0731329 0.126670i
\(545\) −2.84952 1.03714i −0.122060 0.0444262i
\(546\) −2.43717 + 13.8219i −0.104301 + 0.591521i
\(547\) −0.896926 5.08672i −0.0383498 0.217492i 0.959610 0.281332i \(-0.0907764\pi\)
−0.997960 + 0.0638400i \(0.979665\pi\)
\(548\) −6.23055 + 2.26774i −0.266156 + 0.0968729i
\(549\) −4.36824 3.66539i −0.186432 0.156435i
\(550\) 0.0932736 0.00397720
\(551\) −18.0993 + 10.6280i −0.771054 + 0.452769i
\(552\) −2.22668 −0.0947739
\(553\) −28.0442 23.5319i −1.19256 1.00068i
\(554\) −11.4731 + 4.17588i −0.487446 + 0.177416i
\(555\) −0.891407 5.05542i −0.0378381 0.214591i
\(556\) −1.47771 + 8.38052i −0.0626689 + 0.355413i
\(557\) −27.2173 9.90630i −1.15324 0.419744i −0.306560 0.951851i \(-0.599178\pi\)
−0.846677 + 0.532108i \(0.821400\pi\)
\(558\) 5.15657 + 8.93145i 0.218295 + 0.378098i
\(559\) −15.6643 + 27.1314i −0.662530 + 1.14754i
\(560\) 4.52481 3.79677i 0.191208 0.160443i
\(561\) −5.81908 + 4.88279i −0.245682 + 0.206151i
\(562\) −1.12196 + 1.94329i −0.0473270 + 0.0819727i
\(563\) 4.37892 + 7.58451i 0.184549 + 0.319649i 0.943425 0.331587i \(-0.107584\pi\)
−0.758875 + 0.651236i \(0.774251\pi\)
\(564\) −10.3439 3.76487i −0.435556 0.158530i
\(565\) −6.65064 + 37.7177i −0.279795 + 1.58679i
\(566\) 2.56805 + 14.5641i 0.107943 + 0.612176i
\(567\) 2.49273 0.907278i 0.104685 0.0381021i
\(568\) −3.37346 2.83067i −0.141547 0.118772i
\(569\) 11.3696 0.476638 0.238319 0.971187i \(-0.423404\pi\)
0.238319 + 0.971187i \(0.423404\pi\)
\(570\) 6.18392 7.48086i 0.259016 0.313339i
\(571\) 2.98545 0.124937 0.0624686 0.998047i \(-0.480103\pi\)
0.0624686 + 0.998047i \(0.480103\pi\)
\(572\) −9.02481 7.57272i −0.377346 0.316631i
\(573\) 1.24763 0.454099i 0.0521203 0.0189702i
\(574\) −3.33244 18.8992i −0.139094 0.788839i
\(575\) −0.0161968 + 0.0918566i −0.000675453 + 0.00383068i
\(576\) −0.939693 0.342020i −0.0391539 0.0142508i
\(577\) 11.3735 + 19.6994i 0.473483 + 0.820097i 0.999539 0.0303530i \(-0.00966315\pi\)
−0.526056 + 0.850450i \(0.676330\pi\)
\(578\) −2.68092 + 4.64349i −0.111512 + 0.193144i
\(579\) 11.4795 9.63246i 0.477073 0.400311i
\(580\) −8.21348 + 6.89193i −0.341046 + 0.286172i
\(581\) −13.9307 + 24.1286i −0.577941 + 1.00102i
\(582\) −8.89440 15.4056i −0.368685 0.638581i
\(583\) −20.5535 7.48086i −0.851239 0.309826i
\(584\) 0.485452 2.75314i 0.0200882 0.113926i
\(585\) 2.04576 + 11.6021i 0.0845817 + 0.479687i
\(586\) −11.3229 + 4.12122i −0.467747 + 0.170246i
\(587\) −12.6552 10.6190i −0.522337 0.438293i 0.343108 0.939296i \(-0.388520\pi\)
−0.865446 + 0.501003i \(0.832965\pi\)
\(588\) 0.0368366 0.00151912
\(589\) 15.6857 + 42.1286i 0.646319 + 1.73588i
\(590\) 11.0401 0.454515
\(591\) 17.6250 + 14.7891i 0.724994 + 0.608342i
\(592\) −2.16637 + 0.788496i −0.0890374 + 0.0324070i
\(593\) 2.62355 + 14.8789i 0.107736 + 0.611003i 0.990092 + 0.140420i \(0.0448453\pi\)
−0.882356 + 0.470583i \(0.844044\pi\)
\(594\) −0.386659 + 2.19285i −0.0158648 + 0.0899739i
\(595\) 18.9354 + 6.89193i 0.776276 + 0.282541i
\(596\) 1.70574 + 2.95442i 0.0698697 + 0.121018i
\(597\) −4.84137 + 8.38549i −0.198144 + 0.343195i
\(598\) 9.02481 7.57272i 0.369052 0.309672i
\(599\) −14.0326 + 11.7747i −0.573355 + 0.481102i −0.882757 0.469829i \(-0.844315\pi\)
0.309403 + 0.950931i \(0.399871\pi\)
\(600\) −0.0209445 + 0.0362770i −0.000855057 + 0.00148100i
\(601\) 1.78746 + 3.09596i 0.0729118 + 0.126287i 0.900176 0.435526i \(-0.143437\pi\)
−0.827264 + 0.561813i \(0.810104\pi\)
\(602\) 14.7601 + 5.37224i 0.601577 + 0.218956i
\(603\) 1.48886 8.44372i 0.0606309 0.343855i
\(604\) 0.528218 + 2.99568i 0.0214929 + 0.121892i
\(605\) −12.6420 + 4.60132i −0.513971 + 0.187070i
\(606\) −13.7173 11.5102i −0.557229 0.467571i
\(607\) 10.9436 0.444186 0.222093 0.975026i \(-0.428711\pi\)
0.222093 + 0.975026i \(0.428711\pi\)
\(608\) −3.79086 2.15160i −0.153740 0.0872589i
\(609\) −12.7733 −0.517601
\(610\) −9.72668 8.16165i −0.393822 0.330456i
\(611\) 54.7281 19.9194i 2.21406 0.805852i
\(612\) −0.592396 3.35965i −0.0239462 0.135806i
\(613\) 7.74345 43.9153i 0.312755 1.77372i −0.271786 0.962358i \(-0.587614\pi\)
0.584541 0.811364i \(-0.301275\pi\)
\(614\) 21.2319 + 7.72778i 0.856850 + 0.311868i
\(615\) −8.05438 13.9506i −0.324784 0.562542i
\(616\) −2.95336 + 5.11538i −0.118994 + 0.206104i
\(617\) −1.10876 + 0.930356i −0.0446368 + 0.0374547i −0.664833 0.746992i \(-0.731497\pi\)
0.620196 + 0.784447i \(0.287053\pi\)
\(618\) −3.25284 + 2.72946i −0.130848 + 0.109795i
\(619\) 23.6236 40.9173i 0.949513 1.64460i 0.203060 0.979166i \(-0.434911\pi\)
0.746453 0.665438i \(-0.231755\pi\)
\(620\) 11.4820 + 19.8875i 0.461130 + 0.798701i
\(621\) −2.09240 0.761570i −0.0839650 0.0305607i
\(622\) 1.96673 11.1539i 0.0788587 0.447230i
\(623\) −3.59997 20.4165i −0.144230 0.817969i
\(624\) 4.97178 1.80958i 0.199031 0.0724412i
\(625\) −18.9893 15.9339i −0.759573 0.637357i
\(626\) 5.95811 0.238134
\(627\) −3.25237 + 9.14473i −0.129887 + 0.365206i
\(628\) −15.5253 −0.619526
\(629\) −6.02481 5.05542i −0.240225 0.201573i
\(630\) 5.55051 2.02022i 0.221138 0.0804875i
\(631\) 6.05010 + 34.3118i 0.240851 + 1.36593i 0.829935 + 0.557860i \(0.188377\pi\)
−0.589085 + 0.808071i \(0.700512\pi\)
\(632\) −2.39646 + 13.5910i −0.0953260 + 0.540621i
\(633\) 1.03936 + 0.378297i 0.0413110 + 0.0150360i
\(634\) −4.46198 7.72838i −0.177208 0.306933i
\(635\) −14.6878 + 25.4400i −0.582867 + 1.00956i
\(636\) 7.52481 6.31407i 0.298378 0.250369i
\(637\) −0.149300 + 0.125278i −0.00591548 + 0.00496368i
\(638\) 5.36097 9.28547i 0.212243 0.367615i
\(639\) −2.20187 3.81374i −0.0871045 0.150869i
\(640\) −2.09240 0.761570i −0.0827092 0.0301037i
\(641\) 1.90286 10.7916i 0.0751583 0.426244i −0.923891 0.382655i \(-0.875010\pi\)
0.999050 0.0435888i \(-0.0138791\pi\)
\(642\) −2.70961 15.3669i −0.106940 0.606485i
\(643\) −3.47683 + 1.26546i −0.137113 + 0.0499050i −0.409665 0.912236i \(-0.634354\pi\)
0.272552 + 0.962141i \(0.412132\pi\)
\(644\) −4.52481 3.79677i −0.178303 0.149614i
\(645\) 13.1848 0.519151
\(646\) −0.109470 14.8699i −0.00430706 0.585047i
\(647\) 26.2671 1.03267 0.516334 0.856387i \(-0.327296\pi\)
0.516334 + 0.856387i \(0.327296\pi\)
\(648\) −0.766044 0.642788i −0.0300931 0.0252511i
\(649\) −10.3743 + 3.77595i −0.407228 + 0.148219i
\(650\) −0.0384855 0.218262i −0.00150953 0.00856094i
\(651\) −4.75062 + 26.9421i −0.186191 + 1.05594i
\(652\) −4.17112 1.51816i −0.163354 0.0594559i
\(653\) −13.0783 22.6523i −0.511794 0.886453i −0.999907 0.0136725i \(-0.995648\pi\)
0.488113 0.872781i \(-0.337686\pi\)
\(654\) −0.680922 + 1.17939i −0.0266262 + 0.0461179i
\(655\) −12.7981 + 10.7389i −0.500064 + 0.419604i
\(656\) −5.54189 + 4.65020i −0.216374 + 0.181560i
\(657\) 1.39780 2.42107i 0.0545335 0.0944548i
\(658\) −14.6001 25.2882i −0.569173 0.985836i
\(659\) −25.2592 9.19361i −0.983960 0.358132i −0.200582 0.979677i \(-0.564283\pi\)
−0.783379 + 0.621545i \(0.786505\pi\)
\(660\) −0.860967 + 4.88279i −0.0335131 + 0.190062i
\(661\) 0.972086 + 5.51297i 0.0378098 + 0.214430i 0.997859 0.0654011i \(-0.0208327\pi\)
−0.960049 + 0.279831i \(0.909722\pi\)
\(662\) 6.25789 2.27769i 0.243220 0.0885248i
\(663\) 13.8268 + 11.6021i 0.536989 + 0.450587i
\(664\) 10.5030 0.407595
\(665\) 25.3221 4.65743i 0.981948 0.180607i
\(666\) −2.30541 −0.0893327
\(667\) 8.21348 + 6.89193i 0.318027 + 0.266856i
\(668\) 7.65910 2.78768i 0.296339 0.107859i
\(669\) 4.39100 + 24.9026i 0.169766 + 0.962789i
\(670\) 3.31521 18.8015i 0.128078 0.726364i
\(671\) 11.9315 + 4.34273i 0.460612 + 0.167649i
\(672\) −1.32635 2.29731i −0.0511651 0.0886206i
\(673\) −11.4966 + 19.9127i −0.443161 + 0.767578i −0.997922 0.0644321i \(-0.979476\pi\)
0.554761 + 0.832010i \(0.312810\pi\)
\(674\) 8.29607 6.96123i 0.319553 0.268137i
\(675\) −0.0320889 + 0.0269258i −0.00123510 + 0.00103637i
\(676\) −7.49660 + 12.9845i −0.288331 + 0.499403i
\(677\) −7.66772 13.2809i −0.294694 0.510426i 0.680219 0.733009i \(-0.261885\pi\)
−0.974914 + 0.222583i \(0.928551\pi\)
\(678\) 16.1630 + 5.88284i 0.620735 + 0.225929i
\(679\) 8.19418 46.4715i 0.314464 1.78341i
\(680\) −1.31908 7.48086i −0.0505843 0.286878i
\(681\) −3.22193 + 1.17269i −0.123465 + 0.0449375i
\(682\) −17.5915 14.7610i −0.673614 0.565229i
\(683\) −19.6459 −0.751729 −0.375865 0.926675i \(-0.622654\pi\)
−0.375865 + 0.926675i \(0.622654\pi\)
\(684\) −2.82635 3.31839i −0.108068 0.126882i
\(685\) −14.7638 −0.564097
\(686\) −14.1498 11.8731i −0.540241 0.453316i
\(687\) −28.1361 + 10.2407i −1.07346 + 0.390707i
\(688\) −1.02822 5.83132i −0.0392005 0.222317i
\(689\) −9.02481 + 51.1823i −0.343818 + 1.94989i
\(690\) −4.65910 1.69577i −0.177369 0.0645570i
\(691\) −9.73442 16.8605i −0.370315 0.641404i 0.619299 0.785155i \(-0.287417\pi\)
−0.989614 + 0.143751i \(0.954084\pi\)
\(692\) 7.98293 13.8268i 0.303465 0.525617i
\(693\) −4.52481 + 3.79677i −0.171884 + 0.144227i
\(694\) −15.8275 + 13.2809i −0.600805 + 0.504135i
\(695\) −9.47431 + 16.4100i −0.359381 + 0.622466i
\(696\) 2.40760 + 4.17009i 0.0912600 + 0.158067i
\(697\) −23.1917 8.44107i −0.878447 0.319728i
\(698\) 0.354160 2.00854i 0.0134051 0.0760244i
\(699\) −1.80200 10.2197i −0.0681580 0.386543i
\(700\) −0.104418 + 0.0380050i −0.00394663 + 0.00143646i
\(701\) 16.9433 + 14.2171i 0.639940 + 0.536974i 0.904000 0.427533i \(-0.140617\pi\)
−0.264060 + 0.964506i \(0.585062\pi\)
\(702\) 5.29086 0.199691
\(703\) −9.90895 1.67210i −0.373723 0.0630643i
\(704\) 2.22668 0.0839212
\(705\) −18.7763 15.7552i −0.707157 0.593375i
\(706\) 29.4136 10.7057i 1.10700 0.402913i
\(707\) −8.24850 46.7796i −0.310217 1.75933i
\(708\) 0.860967 4.88279i 0.0323571 0.183506i
\(709\) −8.96451 3.26281i −0.336669 0.122538i 0.168153 0.985761i \(-0.446220\pi\)
−0.504822 + 0.863223i \(0.668442\pi\)
\(710\) −4.90286 8.49200i −0.184001 0.318699i
\(711\) −6.90033 + 11.9517i −0.258783 + 0.448225i
\(712\) −5.98680 + 5.02352i −0.224365 + 0.188264i
\(713\) 17.5915 14.7610i 0.658808 0.552805i
\(714\) 4.52481 7.83721i 0.169337 0.293300i
\(715\) −13.1163 22.7182i −0.490523 0.849611i
\(716\) −1.36571 0.497079i −0.0510392 0.0185767i
\(717\) −2.78106 + 15.7722i −0.103861 + 0.589022i
\(718\) 1.54664 + 8.77141i 0.0577200 + 0.327346i
\(719\) 36.4479 13.2660i 1.35928 0.494736i 0.443447 0.896301i \(-0.353756\pi\)
0.915831 + 0.401564i \(0.131533\pi\)
\(720\) −1.70574 1.43128i −0.0635691 0.0533408i
\(721\) −11.2641 −0.419498
\(722\) −9.74123 16.3128i −0.362531 0.607101i
\(723\) 25.5817 0.951394
\(724\) −0.862311 0.723565i −0.0320475 0.0268911i
\(725\) 0.189540 0.0689870i 0.00703935 0.00256211i
\(726\) 1.04916 + 5.95010i 0.0389381 + 0.220829i
\(727\) −6.22446 + 35.3007i −0.230852 + 1.30923i 0.620322 + 0.784347i \(0.287002\pi\)
−0.851175 + 0.524882i \(0.824109\pi\)
\(728\) 13.1887 + 4.80028i 0.488804 + 0.177910i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) 3.11246 5.39094i 0.115197 0.199528i
\(731\) 15.4743 12.9845i 0.572338 0.480249i
\(732\) −4.36824 + 3.66539i −0.161455 + 0.135477i
\(733\) −0.201867 + 0.349643i −0.00745612 + 0.0129144i −0.869729 0.493529i \(-0.835707\pi\)
0.862273 + 0.506443i \(0.169040\pi\)
\(734\) 1.72028 + 2.97962i 0.0634969 + 0.109980i
\(735\) 0.0770768 + 0.0280537i 0.00284302 + 0.00103478i
\(736\) −0.386659 + 2.19285i −0.0142524 + 0.0808296i
\(737\) 3.31521 + 18.8015i 0.122117 + 0.692561i
\(738\) −6.79813 + 2.47432i −0.250243 + 0.0910809i
\(739\) −0.456052 0.382673i −0.0167761 0.0140768i 0.634361 0.773037i \(-0.281263\pi\)
−0.651137 + 0.758960i \(0.725708\pi\)
\(740\) −5.13341 −0.188708
\(741\) 22.7408 + 3.83742i 0.835405 + 0.140971i
\(742\) 26.0574 0.956596
\(743\) 9.09627 + 7.63267i 0.333710 + 0.280016i 0.794209 0.607644i \(-0.207885\pi\)
−0.460500 + 0.887660i \(0.652330\pi\)
\(744\) 9.69119 3.52730i 0.355296 0.129317i
\(745\) 1.31908 + 7.48086i 0.0483273 + 0.274078i
\(746\) 1.09745 6.22394i 0.0401805 0.227875i
\(747\) 9.86959 + 3.59224i 0.361109 + 0.131433i
\(748\) 3.79813 + 6.57856i 0.138874 + 0.240536i
\(749\) 20.6964 35.8472i 0.756230 1.30983i
\(750\) −8.60014 + 7.21637i −0.314033 + 0.263505i
\(751\) 4.18067 3.50800i 0.152555 0.128009i −0.563316 0.826242i \(-0.690474\pi\)
0.715871 + 0.698233i \(0.246030\pi\)
\(752\) −5.50387 + 9.53298i −0.200706 + 0.347632i
\(753\) −5.34477 9.25741i −0.194774 0.337359i
\(754\) −23.9402 8.71351i −0.871849 0.317327i
\(755\) −1.17617 + 6.67042i −0.0428054 + 0.242761i
\(756\) −0.460637 2.61240i −0.0167532 0.0950122i
\(757\) −11.3645 + 4.13635i −0.413051 + 0.150338i −0.540183 0.841548i \(-0.681645\pi\)
0.127132 + 0.991886i \(0.459423\pi\)
\(758\) 11.0367 + 9.26087i 0.400870 + 0.336370i
\(759\) 4.95811 0.179968
\(760\) −6.29339 7.38901i −0.228285 0.268027i
\(761\) −18.8726 −0.684130 −0.342065 0.939676i \(-0.611126\pi\)
−0.342065 + 0.939676i \(0.611126\pi\)
\(762\) 10.1061 + 8.48000i 0.366104 + 0.307198i
\(763\) −3.39470 + 1.23557i −0.122897 + 0.0447307i
\(764\) −0.230552 1.30753i −0.00834108 0.0473046i
\(765\) 1.31908 7.48086i 0.0476914 0.270471i
\(766\) −1.77719 0.646844i −0.0642124 0.0233714i
\(767\) 13.1163 + 22.7182i 0.473603 + 0.820305i
\(768\) −0.500000 + 0.866025i −0.0180422 + 0.0312500i
\(769\) −38.5094 + 32.3132i −1.38868 + 1.16524i −0.422814 + 0.906216i \(0.638958\pi\)