Properties

Label 114.2.i.a.25.1
Level $114$
Weight $2$
Character 114.25
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: \(x^{6} - x^{3} + 1\)
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 25.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 114.25
Dual form 114.2.i.a.73.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 9q^{5} + 9q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 9q^{5} + 9q^{7} + 3q^{8} - 3q^{12} + 15q^{13} - 6q^{14} - 9q^{15} - 9q^{17} - 6q^{18} - 12q^{19} - 3q^{21} + 9q^{22} + 9q^{23} + 9q^{25} - 3q^{27} - 3q^{28} - 9q^{29} - 9q^{31} + 9q^{33} - 36q^{35} + 18q^{37} + 18q^{38} + 27q^{41} - 6q^{42} - 21q^{43} - 9q^{44} + 27q^{47} - 12q^{49} + 3q^{50} + 9q^{51} - 3q^{52} - 9q^{55} + 18q^{56} + 18q^{57} - 36q^{58} + 9q^{59} + 9q^{60} - 3q^{61} + 21q^{62} - 3q^{63} - 3q^{64} - 18q^{65} - 3q^{67} + 36q^{70} + 9q^{71} - 12q^{73} - 6q^{74} + 6q^{75} + 9q^{76} + 18q^{77} + 12q^{78} - 21q^{79} - 9q^{80} - 27q^{82} - 9q^{83} + 9q^{84} + 18q^{85} - 6q^{86} - 18q^{87} + 9q^{90} + 24q^{91} - 9q^{92} + 33q^{93} - 18q^{94} + 36q^{95} - 6q^{96} - 54q^{97} - 24q^{98} + 9q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\)

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 −0.940518 0.339743i \(-0.889660\pi\)
0.767599 0.640930i \(-0.221451\pi\)
\(6\) 0.939693 0.342020i 0.383628 0.139629i
\(7\) 1.32635 2.29731i 0.501314 0.868301i −0.498685 0.866783i \(-0.666184\pi\)
0.999999 0.00151779i \(-0.000483127\pi\)
\(8\) 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 0.647931 0.761699i \(-0.275634\pi\)
−0.983616 + 0.180276i \(0.942301\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 4.97178 1.80958i 1.37892 0.501887i 0.457072 0.889430i \(-0.348898\pi\)
0.921852 + 0.387542i \(0.126676\pi\)
\(14\) 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 −0.902116 0.431494i \(-0.857987\pi\)
0.268288 + 0.963339i \(0.413542\pi\)
\(18\) −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 −0.917591 0.397525i \(-0.869869\pi\)
0.998215 0.0597166i \(-0.0190197\pi\)
\(24\) −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 0.917453 0.397844i \(-0.130241\pi\)
−0.232486 + 0.972600i \(0.574686\pi\)
\(30\) −1.11334 1.92836i −0.203267 0.352069i
\(31\) −5.15657 + 8.93145i −0.926148 + 1.60414i −0.136444 + 0.990648i \(0.543567\pi\)
−0.789704 + 0.613488i \(0.789766\pi\)
\(32\) 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 0.813063 0.582176i \(-0.197798\pi\)
0.248627 + 0.968599i \(0.420021\pi\)
\(42\) 0.460637 2.61240i 0.0710779 0.403103i
\(43\) −1.02822 5.83132i −0.156802 0.889267i −0.957120 0.289692i \(-0.906447\pi\)
0.800318 0.599576i \(-0.204664\pi\)
\(44\) −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 0.998239 + 0.0593140i \(0.0188913\pi\)
0.231755 + 0.972774i \(0.425553\pi\)
\(48\) 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 −0.609780 0.792571i \(-0.708742\pi\)
0.844081 0.536216i \(-0.180147\pi\)
\(54\) 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 −0.361152 0.932507i \(-0.617616\pi\)
0.855627 + 0.517593i \(0.173172\pi\)
\(60\) 2.09240 + 0.761570i 0.270127 + 0.0983183i
\(61\) −0.990200 + 5.61570i −0.126782 + 0.719017i 0.853451 + 0.521173i \(0.174505\pi\)
−0.980233 + 0.197844i \(0.936606\pi\)
\(62\) −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 0.948784 0.315924i \(-0.102314\pi\)
−0.146370 + 0.989230i \(0.546759\pi\)
\(68\) 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 0.995966 + 0.0897290i \(0.0286001\pi\)
−0.905213 + 0.424958i \(0.860289\pi\)
\(72\) −0.173648 + 0.984808i −0.0204646 + 0.116061i
\(73\) 2.62701 + 0.956154i 0.307468 + 0.111909i 0.491146 0.871077i \(-0.336578\pi\)
−0.183678 + 0.982987i \(0.558800\pi\)
\(74\) −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 −0.513951 0.857819i \(-0.671819\pi\)
−0.945105 + 0.326766i \(0.894041\pi\)
\(80\) −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 −0.419458 0.907775i \(-0.637780\pi\)
0.995885 0.0906256i \(-0.0288867\pi\)
\(84\) 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 −0.700527 0.713626i \(-0.747052\pi\)
−0.0779244 + 0.996959i \(0.524829\pi\)
\(90\) 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 −0.415760 + 0.909474i \(0.636484\pi\)
−0.967853 + 0.251515i \(0.919071\pi\)
\(98\) 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 −0.992516 0.122118i \(-0.961031\pi\)
−0.681815 + 0.731524i \(0.738809\pi\)
\(102\) −1.70574 + 2.95442i −0.168893 + 0.292531i
\(103\) −2.12314 3.67739i −0.209199 0.362344i 0.742263 0.670108i \(-0.233752\pi\)
−0.951463 + 0.307765i \(0.900419\pi\)
\(104\) 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 0.191499 + 0.981493i \(0.438665\pi\)
−0.945747 + 0.324903i \(0.894668\pi\)
\(108\) −0.939693 + 0.342020i −0.0904220 + 0.0329109i
\(109\) −0.236482 1.34115i −0.0226508 0.128459i 0.971386 0.237508i \(-0.0763306\pi\)
−0.994036 + 0.109049i \(0.965220\pi\)
\(110\) 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 0.272715 0.962095i \(-0.412078\pi\)
0.827334 + 0.561710i \(0.189856\pi\)
\(128\) −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 −0.356192 0.934413i \(-0.615925\pi\)
0.858365 + 0.513040i \(0.171481\pi\)
\(132\) 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 −0.895296 0.445472i \(-0.853036\pi\)
0.993663 0.112397i \(-0.0358528\pi\)
\(138\) −0.386659 2.19285i −0.0329146 0.186668i
\(139\) 7.99660 2.91052i 0.678262 0.246867i 0.0201612 0.999797i \(-0.493582\pi\)
0.658101 + 0.752929i \(0.271360\pi\)
\(140\) −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 0.469976 0.882679i \(-0.344262\pi\)
−0.207352 + 0.978266i \(0.566485\pi\)
\(150\) 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 −0.880630 0.473805i \(-0.842880\pi\)
0.665471 0.746424i \(-0.268231\pi\)
\(158\) 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 0.765921 0.642935i \(-0.222283\pi\)
−0.939758 + 0.341840i \(0.888950\pi\)
\(164\) 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 0.879794 + 0.475354i \(0.157680\pi\)
−0.989317 + 0.145779i \(0.953431\pi\)
\(168\) −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 −0.975794 0.218690i \(-0.929822\pi\)
0.0459227 + 0.998945i \(0.485377\pi\)
\(174\) 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 0.837590 0.546300i \(-0.183964\pi\)
−0.891904 + 0.452224i \(0.850631\pi\)
\(180\) −1.70574 1.43128i −0.127138 0.106682i
\(181\) −0.862311 0.723565i −0.0640951 0.0537822i 0.610177 0.792265i \(-0.291098\pi\)
−0.674272 + 0.738483i \(0.735543\pi\)
\(182\) 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 −0.218801 0.975770i \(-0.570214\pi\)
−0.794824 + 0.606841i \(0.792437\pi\)
\(194\) 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 0.0863480 + 0.996265i \(0.472480\pi\)
−0.905965 + 0.423353i \(0.860853\pi\)
\(198\) 1.11334 + 1.92836i 0.0791217 + 0.137043i
\(199\) 7.41740 + 6.22394i 0.525806 + 0.441203i 0.866650 0.498916i \(-0.166268\pi\)
−0.340844 + 0.940120i \(0.610713\pi\)
\(200\) 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 −0.671487 0.741017i \(-0.734344\pi\)
0.613156 + 0.789962i \(0.289900\pi\)
\(212\) −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 0.671067 + 0.741397i \(0.265836\pi\)
−0.377024 + 0.926203i \(0.623053\pi\)
\(224\) 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 −0.985193 0.171448i \(-0.945155\pi\)
0.867140 0.498065i \(-0.165956\pi\)
\(234\) −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 0.999782 + 0.0208848i \(0.00664831\pi\)
−0.481804 + 0.876279i \(0.660018\pi\)
\(240\) 1.11334 1.92836i 0.0718658 0.124475i
\(241\) −24.0390 + 8.74946i −1.54849 + 0.563602i −0.968062 0.250712i \(-0.919335\pi\)
−0.580423 + 0.814315i \(0.697113\pi\)
\(242\) 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 −0.868493 0.495702i \(-0.834911\pi\)
0.985656 0.168765i \(-0.0539780\pi\)
\(252\) −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 −0.915412 0.402519i \(-0.868135\pi\)
−0.555363 0.831608i \(-0.687421\pi\)
\(258\) −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 0.249355 0.968412i \(-0.419782\pi\)
−0.431467 + 0.902129i \(0.642004\pi\)
\(264\) −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 −0.121473 0.992595i \(-0.538762\pi\)
−0.731081 + 0.682290i \(0.760984\pi\)
\(270\) 0.386659 2.19285i 0.0235313 0.133453i
\(271\) 2.64543 + 15.0030i 0.160698 + 0.911366i 0.953389 + 0.301742i \(0.0975683\pi\)
−0.792691 + 0.609624i \(0.791321\pi\)
\(272\) 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 0.989063 0.147495i \(-0.0471209\pi\)
−0.622266 + 0.782806i \(0.713788\pi\)
\(278\) −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 −0.994222 0.107345i \(-0.965765\pi\)
0.970977 + 0.239172i \(0.0768761\pi\)
\(282\) 10.3439 + 3.76487i 0.615970 + 0.224195i
\(283\) −11.3289 + 9.50606i −0.673432 + 0.565076i −0.914079 0.405536i \(-0.867085\pi\)
0.240647 + 0.970613i \(0.422640\pi\)
\(284\) 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 0.986595 0.163187i \(-0.0521774\pi\)
−0.634622 + 0.772823i \(0.718844\pi\)
\(294\) −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 −0.344452 0.938804i \(-0.611935\pi\)
−0.867317 + 0.497757i \(0.834157\pi\)
\(308\) −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 −0.659601 0.751616i \(-0.729275\pi\)
0.980719 + 0.195424i \(0.0626082\pi\)
\(312\) −2.64543 4.58202i −0.149768 0.259406i
\(313\) −4.56418 3.82980i −0.257983 0.216473i 0.504618 0.863343i \(-0.331633\pi\)
−0.762601 + 0.646870i \(0.776078\pi\)
\(314\) 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 −0.0956094 0.995419i \(-0.530480\pi\)
0.566602 + 0.823992i \(0.308258\pi\)
\(318\) −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 0.759888 0.650054i \(-0.225254\pi\)
−0.942908 + 0.333055i \(0.891921\pi\)
\(332\) −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 −0.992212 0.124564i \(-0.960247\pi\)
0.889771 0.456408i \(-0.150864\pi\)
\(338\) −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 0.915790 + 0.401657i \(0.131566\pi\)
−0.723186 + 0.690653i \(0.757323\pi\)
\(348\) −4.52481 + 1.64690i −0.242556 + 0.0882830i
\(349\) 1.01976 1.76628i 0.0545866 0.0945468i −0.837441 0.546528i \(-0.815949\pi\)
0.892028 + 0.451981i \(0.149283\pi\)
\(350\) 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 −0.895649 0.444762i \(-0.853288\pi\)
0.0626489 0.998036i \(-0.480045\pi\)
\(354\) 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 −0.804831 0.593504i \(-0.797744\pi\)
0.444730 + 0.895665i \(0.353300\pi\)
\(360\) 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 −0.425021 0.905183i \(-0.639733\pi\)
0.256256 + 0.966609i \(0.417511\pi\)
\(368\) −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 −0.772546 0.634959i \(-0.781017\pi\)
0.936163 + 0.351565i \(0.114350\pi\)
\(374\) −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 0.387026 0.922069i \(-0.373502\pi\)
−0.296216 + 0.955121i \(0.595725\pi\)
\(384\) −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 0.488178 0.872744i \(-0.337662\pi\)
−0.774714 + 0.632312i \(0.782106\pi\)
\(390\) −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 −0.837608 0.546272i \(-0.816047\pi\)
0.392524 + 0.919742i \(0.371602\pi\)
\(398\) −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 −0.303710 0.952765i \(-0.598225\pi\)
0.885551 + 0.464542i \(0.153781\pi\)
\(402\) 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 0.613328 0.789828i \(-0.289830\pi\)
−0.671326 + 0.741162i \(0.734275\pi\)
\(410\) 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 −0.268465 0.963289i \(-0.586516\pi\)
−0.824847 + 0.565356i \(0.808739\pi\)
\(422\) 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 −0.673472 0.739213i \(-0.735198\pi\)
−0.0407529 + 0.999169i \(0.512976\pi\)
\(432\) 0.173648 + 0.984808i 0.00835465 + 0.0473816i
\(433\) −2.33006 + 13.2144i −0.111976 + 0.635045i 0.876228 + 0.481897i \(0.160052\pi\)
−0.988203 + 0.153148i \(0.951059\pi\)
\(434\) −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 −0.228148 0.973627i \(-0.573267\pi\)
0.919218 + 0.393750i \(0.128822\pi\)
\(440\) −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 −0.0773747 0.997002i \(-0.524654\pi\)
0.581588 + 0.813483i \(0.302432\pi\)
\(444\) −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 −0.744056 0.668117i \(-0.767100\pi\)
0.950635 + 0.310313i \(0.100434\pi\)
\(450\) −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 0.979881 + 0.199581i \(0.0639581\pi\)
−0.852527 + 0.522684i \(0.824931\pi\)
\(462\) −5.55051 + 2.02022i −0.258233 + 0.0939891i
\(463\) 2.18732 3.78855i 0.101653 0.176069i −0.810713 0.585444i \(-0.800920\pi\)
0.912366 + 0.409376i \(0.134253\pi\)
\(464\) −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 −0.992202 0.124642i \(-0.960222\pi\)
0.388158 0.921593i \(-0.373112\pi\)
\(468\) 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 0.481414 + 0.876493i \(0.340123\pi\)
−0.752160 + 0.658981i \(0.770988\pi\)
\(480\) 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 −0.630322 0.776334i \(-0.717077\pi\)
0.987486 + 0.157708i \(0.0504106\pi\)
\(488\) −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 0.0314898 0.999504i \(-0.489975\pi\)
−0.618346 + 0.785906i \(0.712197\pi\)
\(492\) −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 −0.958859 0.283881i \(-0.908378\pi\)
0.803940 0.594710i \(-0.202733\pi\)
\(500\) −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 0.352259 0.935902i \(-0.385414\pi\)
−0.860515 + 0.509425i \(0.829858\pi\)
\(504\) 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 0.432180 + 0.901787i \(0.357744\pi\)
−0.714546 + 0.699589i \(0.753367\pi\)
\(510\) 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 0.904020 + 0.427491i \(0.140602\pi\)
−0.0817923 + 0.996649i \(0.526064\pi\)
\(522\) −3.68866 3.09516i −0.161448 0.135471i
\(523\) 0.304063 + 0.255139i 0.0132958 + 0.0111565i 0.649411 0.760437i \(-0.275015\pi\)
−0.636116 + 0.771594i \(0.719460\pi\)
\(524\) −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 0.231233 0.972898i \(-0.425724\pi\)
−0.917965 + 0.396662i \(0.870168\pi\)
\(542\) −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 −0.997960 0.0638400i \(-0.979665\pi\)
0.959610 + 0.281332i \(0.0907764\pi\)
\(548\) −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 −0.846677 0.532108i \(-0.821400\pi\)
−0.306560 + 0.951851i \(0.599178\pi\)
\(558\) 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 −0.758875 0.651236i \(-0.774251\pi\)
0.943425 + 0.331587i \(0.107584\pi\)
\(564\) −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 −0.526056 0.850450i \(-0.676330\pi\)
0.999539 + 0.0303530i \(0.00966315\pi\)
\(578\) −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 −0.865446 0.501003i \(-0.832965\pi\)
0.343108 + 0.939296i \(0.388520\pi\)
\(588\) 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 −0.882356 0.470583i \(-0.844044\pi\)
0.990092 0.140420i \(-0.0448453\pi\)
\(594\) −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 0.309403 0.950931i \(-0.399871\pi\)
−0.882757 + 0.469829i \(0.844315\pi\)
\(600\) −0.0209445 0.0362770i −0.000855057 0.00148100i
\(601\) 1.78746 3.09596i 0.0729118 0.126287i −0.827264 0.561813i \(-0.810104\pi\)
0.900176 + 0.435526i \(0.143437\pi\)
\(602\) 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 0.584541 + 0.811364i \(0.301275\pi\)
−0.271786 + 0.962358i \(0.587614\pi\)
\(614\) 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 0.620196 0.784447i \(-0.287053\pi\)
−0.664833 + 0.746992i \(0.731497\pi\)
\(618\) −3.25284 2.72946i −0.130848 0.109795i
\(619\) 23.6236 + 40.9173i 0.949513 + 1.64460i 0.746453 + 0.665438i \(0.231755\pi\)
0.203060 + 0.979166i \(0.434911\pi\)
\(620\) 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 −0.589085 0.808071i \(-0.700512\pi\)
0.829935 0.557860i \(-0.188377\pi\)
\(632\) −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 0.999050 + 0.0435888i \(0.0138791\pi\)
−0.923891 + 0.382655i \(0.875010\pi\)
\(642\) −2.70961 + 15.3669i −0.106940 + 0.606485i
\(643\) −3.47683 1.26546i −0.137113 0.0499050i 0.272552 0.962141i \(-0.412132\pi\)
−0.409665 + 0.912236i \(0.634354\pi\)
\(644\) −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 0.488113 + 0.872781i \(0.337686\pi\)
−0.999907 + 0.0136725i \(0.995648\pi\)
\(654\) −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 −0.783379 0.621545i \(-0.786505\pi\)
−0.200582 + 0.979677i \(0.564283\pi\)
\(660\) −0.860967 4.88279i −0.0335131 0.190062i
\(661\) 0.972086 5.51297i 0.0378098 0.214430i −0.960049 0.279831i \(-0.909722\pi\)
0.997859 + 0.0654011i \(0.0208327\pi\)
\(662\) 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 0.554761 0.832010i \(-0.312810\pi\)
−0.997922 + 0.0644321i \(0.979476\pi\)
\(674\) 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 −0.974914 0.222583i \(-0.928551\pi\)
0.680219 + 0.733009i \(0.261885\pi\)
\(678\) 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 −0.989614 0.143751i \(-0.954084\pi\)
0.619299 + 0.785155i \(0.287417\pi\)
\(692\) 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 −0.264060 0.964506i \(-0.585062\pi\)
0.904000 + 0.427533i \(0.140617\pi\)
\(702\) 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 −0.504822 0.863223i \(-0.668442\pi\)
0.168153 + 0.985761i \(0.446220\pi\)
\(710\) −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 0.915831 0.401564i \(-0.131533\pi\)
0.443447 + 0.896301i \(0.353756\pi\)
\(720\) −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 −0.851175 0.524882i \(-0.824109\pi\)
0.620322 0.784347i \(-0.287002\pi\)
\(728\) 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 0.862273 0.506443i \(-0.169040\pi\)
−0.869729 + 0.493529i \(0.835707\pi\)
\(734\) 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 −0.651137 0.758960i \(-0.725708\pi\)
0.634361 + 0.773037i \(0.281263\pi\)
\(740\) −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 −0.460500 0.887660i \(-0.652330\pi\)
0.794209 + 0.607644i \(0.207885\pi\)
\(744\) 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 0.715871 0.698233i \(-0.246030\pi\)
−0.563316 + 0.826242i \(0.690474\pi\)
\(752\) −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 0.127132 0.991886i \(-0.459423\pi\)
−0.540183 + 0.841548i \(0.681645\pi\)
\(758\) 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 −0.965870 0.259028i \(-0.916598\pi\)
−0.422814 0.906216i \(-0.638958\pi\)
\(770\) −10.0753 8.45420i −0.363089 0.304668i
\(771\) 15.3897 + 26.6557i 0.554245 + 0.959980i