Properties

Label 91.2.w.a.19.3
Level $91$
Weight $2$
Character 91.19
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 91.19
Dual form 91.2.w.a.24.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.670702 - 0.179714i) q^{2} +3.13022i q^{3} +(-1.31451 - 0.758931i) q^{4} +(-0.0359277 + 0.00962681i) q^{5} +(0.562545 - 2.09944i) q^{6} +(-1.16683 + 2.37456i) q^{7} +(1.72723 + 1.72723i) q^{8} -6.79826 q^{9} +O(q^{10})\) \(q+(-0.670702 - 0.179714i) q^{2} +3.13022i q^{3} +(-1.31451 - 0.758931i) q^{4} +(-0.0359277 + 0.00962681i) q^{5} +(0.562545 - 2.09944i) q^{6} +(-1.16683 + 2.37456i) q^{7} +(1.72723 + 1.72723i) q^{8} -6.79826 q^{9} +0.0258269 q^{10} +(0.798048 + 0.798048i) q^{11} +(2.37562 - 4.11469i) q^{12} +(3.58326 + 0.400306i) q^{13} +(1.20934 - 1.38292i) q^{14} +(-0.0301340 - 0.112462i) q^{15} +(0.669812 + 1.16015i) q^{16} +(3.20096 - 5.54423i) q^{17} +(4.55961 + 1.22174i) q^{18} +(2.60661 + 2.60661i) q^{19} +(0.0545333 + 0.0146122i) q^{20} +(-7.43288 - 3.65243i) q^{21} +(-0.391832 - 0.678673i) q^{22} +(2.41997 - 1.39717i) q^{23} +(-5.40660 + 5.40660i) q^{24} +(-4.32893 + 2.49931i) q^{25} +(-2.33136 - 0.912449i) q^{26} -11.8894i q^{27} +(3.33593 - 2.23583i) q^{28} +(1.84998 - 3.20426i) q^{29} +0.0808438i q^{30} +(-0.706626 + 2.63716i) q^{31} +(-1.50517 - 5.61737i) q^{32} +(-2.49806 + 2.49806i) q^{33} +(-3.14327 + 3.14327i) q^{34} +(0.0190621 - 0.0965453i) q^{35} +(8.93636 + 5.15941i) q^{36} +(-1.44479 + 5.39204i) q^{37} +(-1.27982 - 2.21671i) q^{38} +(-1.25305 + 11.2164i) q^{39} +(-0.0786831 - 0.0454277i) q^{40} +(0.188789 - 0.0505859i) q^{41} +(4.32885 + 3.78548i) q^{42} +(1.84817 - 1.06704i) q^{43} +(-0.443376 - 1.65470i) q^{44} +(0.244246 - 0.0654456i) q^{45} +(-1.87417 + 0.502183i) q^{46} +(1.45527 + 5.43116i) q^{47} +(-3.63152 + 2.09666i) q^{48} +(-4.27703 - 5.54139i) q^{49} +(3.35258 - 0.898322i) q^{50} +(17.3546 + 10.0197i) q^{51} +(-4.40641 - 3.24565i) q^{52} +(-0.295822 - 0.512378i) q^{53} +(-2.13669 + 7.97425i) q^{54} +(-0.0363547 - 0.0209894i) q^{55} +(-6.11678 + 2.08602i) q^{56} +(-8.15927 + 8.15927i) q^{57} +(-1.81664 + 1.81664i) q^{58} +(-2.91741 - 10.8879i) q^{59} +(-0.0457393 + 0.170701i) q^{60} -1.37223i q^{61} +(0.947871 - 1.64176i) q^{62} +(7.93240 - 16.1429i) q^{63} +1.35883i q^{64} +(-0.132592 + 0.0201133i) q^{65} +(2.12439 - 1.22652i) q^{66} +(5.33401 - 5.33401i) q^{67} +(-8.41537 + 4.85861i) q^{68} +(4.37346 + 7.57505i) q^{69} +(-0.0301356 + 0.0613274i) q^{70} +(-9.88214 - 2.64791i) q^{71} +(-11.7422 - 11.7422i) q^{72} +(2.64076 + 0.707590i) q^{73} +(1.93805 - 3.35680i) q^{74} +(-7.82338 - 13.5505i) q^{75} +(-1.44817 - 5.40465i) q^{76} +(-2.82619 + 0.963824i) q^{77} +(2.85616 - 7.29767i) q^{78} +(-1.63129 + 2.82548i) q^{79} +(-0.0352334 - 0.0352334i) q^{80} +16.8216 q^{81} -0.135712 q^{82} +(4.92754 + 4.92754i) q^{83} +(6.99862 + 10.4422i) q^{84} +(-0.0616301 + 0.230007i) q^{85} +(-1.43133 + 0.383525i) q^{86} +(10.0300 + 5.79083i) q^{87} +2.75682i q^{88} +(16.2723 + 4.36016i) q^{89} -0.175578 q^{90} +(-5.13160 + 8.04156i) q^{91} -4.24143 q^{92} +(-8.25489 - 2.21189i) q^{93} -3.90422i q^{94} +(-0.118743 - 0.0685564i) q^{95} +(17.5836 - 4.71151i) q^{96} +(0.663884 - 2.47765i) q^{97} +(1.87274 + 4.48527i) q^{98} +(-5.42534 - 5.42534i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} - 12q^{10} + 2q^{11} + 8q^{12} - 20q^{14} + 10q^{15} - 2q^{16} - 6q^{17} - 4q^{18} - 8q^{19} - 36q^{20} - 2q^{21} - 8q^{22} - 6q^{23} + 12q^{24} + 24q^{26} - 18q^{28} - 8q^{29} - 38q^{31} - 20q^{32} + 18q^{33} + 12q^{34} - 2q^{35} + 54q^{36} - 16q^{37} + 28q^{39} + 48q^{40} + 18q^{41} - 4q^{42} + 48q^{43} - 6q^{44} + 12q^{45} + 18q^{46} - 42q^{47} + 12q^{48} + 8q^{49} + 10q^{50} + 12q^{51} - 28q^{52} + 12q^{53} - 30q^{54} - 6q^{55} - 24q^{56} + 12q^{57} + 62q^{58} - 6q^{59} + 16q^{60} - 36q^{62} - 38q^{63} - 2q^{65} + 66q^{66} - 4q^{67} + 30q^{68} + 42q^{69} + 68q^{70} - 42q^{71} - 38q^{72} + 14q^{73} - 6q^{74} - 20q^{75} + 52q^{76} - 62q^{78} + 4q^{79} + 12q^{80} + 12q^{81} - 108q^{82} - 66q^{83} - 56q^{84} - 54q^{85} - 30q^{86} + 42q^{87} - 30q^{89} - 72q^{90} - 42q^{91} - 156q^{92} + 14q^{93} - 6q^{95} + 18q^{96} + 62q^{97} + 112q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.670702 0.179714i −0.474258 0.127077i 0.0137696 0.999905i \(-0.495617\pi\)
−0.488028 + 0.872828i \(0.662284\pi\)
\(3\) 3.13022i 1.80723i 0.428343 + 0.903616i \(0.359097\pi\)
−0.428343 + 0.903616i \(0.640903\pi\)
\(4\) −1.31451 0.758931i −0.657253 0.379465i
\(5\) −0.0359277 + 0.00962681i −0.0160674 + 0.00430524i −0.266844 0.963740i \(-0.585981\pi\)
0.250776 + 0.968045i \(0.419314\pi\)
\(6\) 0.562545 2.09944i 0.229658 0.857095i
\(7\) −1.16683 + 2.37456i −0.441020 + 0.897498i
\(8\) 1.72723 + 1.72723i 0.610667 + 0.610667i
\(9\) −6.79826 −2.26609
\(10\) 0.0258269 0.00816718
\(11\) 0.798048 + 0.798048i 0.240620 + 0.240620i 0.817107 0.576486i \(-0.195577\pi\)
−0.576486 + 0.817107i \(0.695577\pi\)
\(12\) 2.37562 4.11469i 0.685782 1.18781i
\(13\) 3.58326 + 0.400306i 0.993818 + 0.111025i
\(14\) 1.20934 1.38292i 0.323209 0.369602i
\(15\) −0.0301340 0.112462i −0.00778057 0.0290375i
\(16\) 0.669812 + 1.16015i 0.167453 + 0.290037i
\(17\) 3.20096 5.54423i 0.776347 1.34467i −0.157687 0.987489i \(-0.550404\pi\)
0.934034 0.357184i \(-0.116263\pi\)
\(18\) 4.55961 + 1.22174i 1.07471 + 0.287968i
\(19\) 2.60661 + 2.60661i 0.597998 + 0.597998i 0.939780 0.341781i \(-0.111030\pi\)
−0.341781 + 0.939780i \(0.611030\pi\)
\(20\) 0.0545333 + 0.0146122i 0.0121940 + 0.00326738i
\(21\) −7.43288 3.65243i −1.62199 0.797025i
\(22\) −0.391832 0.678673i −0.0835389 0.144694i
\(23\) 2.41997 1.39717i 0.504599 0.291331i −0.226011 0.974125i \(-0.572569\pi\)
0.730611 + 0.682794i \(0.239235\pi\)
\(24\) −5.40660 + 5.40660i −1.10362 + 1.10362i
\(25\) −4.32893 + 2.49931i −0.865786 + 0.499862i
\(26\) −2.33136 0.912449i −0.457217 0.178946i
\(27\) 11.8894i 2.28811i
\(28\) 3.33593 2.23583i 0.630431 0.422531i
\(29\) 1.84998 3.20426i 0.343532 0.595015i −0.641554 0.767078i \(-0.721710\pi\)
0.985086 + 0.172063i \(0.0550432\pi\)
\(30\) 0.0808438i 0.0147600i
\(31\) −0.706626 + 2.63716i −0.126914 + 0.473648i −0.999901 0.0140952i \(-0.995513\pi\)
0.872987 + 0.487744i \(0.162180\pi\)
\(32\) −1.50517 5.61737i −0.266079 0.993019i
\(33\) −2.49806 + 2.49806i −0.434857 + 0.434857i
\(34\) −3.14327 + 3.14327i −0.539066 + 0.539066i
\(35\) 0.0190621 0.0965453i 0.00322208 0.0163191i
\(36\) 8.93636 + 5.15941i 1.48939 + 0.859902i
\(37\) −1.44479 + 5.39204i −0.237522 + 0.886445i 0.739473 + 0.673186i \(0.235075\pi\)
−0.976996 + 0.213259i \(0.931592\pi\)
\(38\) −1.27982 2.21671i −0.207614 0.359598i
\(39\) −1.25305 + 11.2164i −0.200648 + 1.79606i
\(40\) −0.0786831 0.0454277i −0.0124409 0.00718275i
\(41\) 0.188789 0.0505859i 0.0294839 0.00790020i −0.244047 0.969763i \(-0.578475\pi\)
0.273531 + 0.961863i \(0.411808\pi\)
\(42\) 4.32885 + 3.78548i 0.667957 + 0.584113i
\(43\) 1.84817 1.06704i 0.281843 0.162722i −0.352414 0.935844i \(-0.614639\pi\)
0.634258 + 0.773122i \(0.281306\pi\)
\(44\) −0.443376 1.65470i −0.0668414 0.249456i
\(45\) 0.244246 0.0654456i 0.0364101 0.00975605i
\(46\) −1.87417 + 0.502183i −0.276332 + 0.0740429i
\(47\) 1.45527 + 5.43116i 0.212273 + 0.792215i 0.987109 + 0.160052i \(0.0511662\pi\)
−0.774835 + 0.632163i \(0.782167\pi\)
\(48\) −3.63152 + 2.09666i −0.524164 + 0.302627i
\(49\) −4.27703 5.54139i −0.611004 0.791628i
\(50\) 3.35258 0.898322i 0.474127 0.127042i
\(51\) 17.3546 + 10.0197i 2.43014 + 1.40304i
\(52\) −4.40641 3.24565i −0.611060 0.450091i
\(53\) −0.295822 0.512378i −0.0406342 0.0703805i 0.844993 0.534777i \(-0.179605\pi\)
−0.885627 + 0.464397i \(0.846271\pi\)
\(54\) −2.13669 + 7.97425i −0.290767 + 1.08516i
\(55\) −0.0363547 0.0209894i −0.00490207 0.00283021i
\(56\) −6.11678 + 2.08602i −0.817389 + 0.278756i
\(57\) −8.15927 + 8.15927i −1.08072 + 1.08072i
\(58\) −1.81664 + 1.81664i −0.238536 + 0.238536i
\(59\) −2.91741 10.8879i −0.379814 1.41749i −0.846181 0.532895i \(-0.821104\pi\)
0.466367 0.884591i \(-0.345563\pi\)
\(60\) −0.0457393 + 0.170701i −0.00590491 + 0.0220374i
\(61\) 1.37223i 0.175696i −0.996134 0.0878478i \(-0.972001\pi\)
0.996134 0.0878478i \(-0.0279989\pi\)
\(62\) 0.947871 1.64176i 0.120380 0.208504i
\(63\) 7.93240 16.1429i 0.999389 2.03381i
\(64\) 1.35883i 0.169854i
\(65\) −0.132592 + 0.0201133i −0.0164460 + 0.00249474i
\(66\) 2.12439 1.22652i 0.261495 0.150974i
\(67\) 5.33401 5.33401i 0.651653 0.651653i −0.301738 0.953391i \(-0.597567\pi\)
0.953391 + 0.301738i \(0.0975668\pi\)
\(68\) −8.41537 + 4.85861i −1.02051 + 0.589194i
\(69\) 4.37346 + 7.57505i 0.526502 + 0.911928i
\(70\) −0.0301356 + 0.0613274i −0.00360189 + 0.00733003i
\(71\) −9.88214 2.64791i −1.17279 0.314249i −0.380729 0.924686i \(-0.624327\pi\)
−0.792065 + 0.610437i \(0.790994\pi\)
\(72\) −11.7422 11.7422i −1.38383 1.38383i
\(73\) 2.64076 + 0.707590i 0.309078 + 0.0828171i 0.410024 0.912075i \(-0.365520\pi\)
−0.100946 + 0.994892i \(0.532187\pi\)
\(74\) 1.93805 3.35680i 0.225294 0.390220i
\(75\) −7.82338 13.5505i −0.903366 1.56468i
\(76\) −1.44817 5.40465i −0.166117 0.619956i
\(77\) −2.82619 + 0.963824i −0.322075 + 0.109838i
\(78\) 2.85616 7.29767i 0.323397 0.826298i
\(79\) −1.63129 + 2.82548i −0.183535 + 0.317891i −0.943082 0.332561i \(-0.892087\pi\)
0.759547 + 0.650452i \(0.225421\pi\)
\(80\) −0.0352334 0.0352334i −0.00393921 0.00393921i
\(81\) 16.8216 1.86907
\(82\) −0.135712 −0.0149869
\(83\) 4.92754 + 4.92754i 0.540868 + 0.540868i 0.923783 0.382915i \(-0.125080\pi\)
−0.382915 + 0.923783i \(0.625080\pi\)
\(84\) 6.99862 + 10.4422i 0.763612 + 1.13933i
\(85\) −0.0616301 + 0.230007i −0.00668472 + 0.0249477i
\(86\) −1.43133 + 0.383525i −0.154345 + 0.0413565i
\(87\) 10.0300 + 5.79083i 1.07533 + 0.620843i
\(88\) 2.75682i 0.293878i
\(89\) 16.2723 + 4.36016i 1.72486 + 0.462176i 0.978989 0.203911i \(-0.0653653\pi\)
0.745874 + 0.666087i \(0.232032\pi\)
\(90\) −0.175578 −0.0185076
\(91\) −5.13160 + 8.04156i −0.537938 + 0.842985i
\(92\) −4.24143 −0.442199
\(93\) −8.25489 2.21189i −0.855993 0.229363i
\(94\) 3.90422i 0.402690i
\(95\) −0.118743 0.0685564i −0.0121828 0.00703374i
\(96\) 17.5836 4.71151i 1.79462 0.480866i
\(97\) 0.663884 2.47765i 0.0674072 0.251567i −0.923997 0.382399i \(-0.875098\pi\)
0.991405 + 0.130832i \(0.0417648\pi\)
\(98\) 1.87274 + 4.48527i 0.189176 + 0.453081i
\(99\) −5.42534 5.42534i −0.545267 0.545267i
\(100\) 7.58721 0.758721
\(101\) 4.61710 0.459418 0.229709 0.973259i \(-0.426223\pi\)
0.229709 + 0.973259i \(0.426223\pi\)
\(102\) −9.83912 9.83912i −0.974218 0.974218i
\(103\) 5.86837 10.1643i 0.578227 1.00152i −0.417455 0.908697i \(-0.637078\pi\)
0.995683 0.0928218i \(-0.0295887\pi\)
\(104\) 5.49769 + 6.88053i 0.539093 + 0.674691i
\(105\) 0.302208 + 0.0596685i 0.0294925 + 0.00582305i
\(106\) 0.106327 + 0.396817i 0.0103274 + 0.0385422i
\(107\) −6.53667 11.3218i −0.631923 1.09452i −0.987158 0.159746i \(-0.948932\pi\)
0.355235 0.934777i \(-0.384401\pi\)
\(108\) −9.02322 + 15.6287i −0.868260 + 1.50387i
\(109\) −12.5958 3.37504i −1.20646 0.323270i −0.401087 0.916040i \(-0.631368\pi\)
−0.805372 + 0.592770i \(0.798034\pi\)
\(110\) 0.0206111 + 0.0206111i 0.00196519 + 0.00196519i
\(111\) −16.8782 4.52251i −1.60201 0.429258i
\(112\) −3.53639 + 0.236812i −0.334158 + 0.0223766i
\(113\) 1.85773 + 3.21769i 0.174761 + 0.302694i 0.940078 0.340958i \(-0.110751\pi\)
−0.765318 + 0.643653i \(0.777418\pi\)
\(114\) 6.93878 4.00611i 0.649876 0.375206i
\(115\) −0.0734939 + 0.0734939i −0.00685334 + 0.00685334i
\(116\) −4.86362 + 2.80801i −0.451575 + 0.260717i
\(117\) −24.3600 2.72139i −2.25208 0.251592i
\(118\) 7.82685i 0.720520i
\(119\) 9.43010 + 14.0700i 0.864456 + 1.28980i
\(120\) 0.142199 0.246295i 0.0129809 0.0224836i
\(121\) 9.72624i 0.884204i
\(122\) −0.246609 + 0.920356i −0.0223269 + 0.0833251i
\(123\) 0.158345 + 0.590952i 0.0142775 + 0.0532843i
\(124\) 2.93029 2.93029i 0.263148 0.263148i
\(125\) 0.262973 0.262973i 0.0235210 0.0235210i
\(126\) −8.22138 + 9.40149i −0.732419 + 0.837551i
\(127\) 2.47692 + 1.43005i 0.219791 + 0.126897i 0.605854 0.795576i \(-0.292832\pi\)
−0.386062 + 0.922473i \(0.626165\pi\)
\(128\) −2.76614 + 10.3234i −0.244494 + 0.912465i
\(129\) 3.34007 + 5.78517i 0.294077 + 0.509356i
\(130\) 0.0925445 + 0.0103387i 0.00811669 + 0.000906761i
\(131\) 0.119788 + 0.0691595i 0.0104659 + 0.00604249i 0.505224 0.862988i \(-0.331410\pi\)
−0.494758 + 0.869031i \(0.664743\pi\)
\(132\) 5.17958 1.38786i 0.450824 0.120798i
\(133\) −9.23102 + 3.14808i −0.800431 + 0.272973i
\(134\) −4.53613 + 2.61894i −0.391862 + 0.226242i
\(135\) 0.114457 + 0.427159i 0.00985089 + 0.0367640i
\(136\) 15.1049 4.04736i 1.29524 0.347058i
\(137\) 16.4774 4.41512i 1.40776 0.377209i 0.526637 0.850090i \(-0.323453\pi\)
0.881126 + 0.472882i \(0.156786\pi\)
\(138\) −1.57194 5.86657i −0.133813 0.499396i
\(139\) 13.3885 7.72988i 1.13560 0.655640i 0.190264 0.981733i \(-0.439066\pi\)
0.945338 + 0.326093i \(0.105732\pi\)
\(140\) −0.0983284 + 0.112443i −0.00831027 + 0.00950313i
\(141\) −17.0007 + 4.55532i −1.43172 + 0.383627i
\(142\) 6.15211 + 3.55192i 0.516273 + 0.298071i
\(143\) 2.54015 + 3.17908i 0.212418 + 0.265848i
\(144\) −4.55356 7.88700i −0.379463 0.657250i
\(145\) −0.0356188 + 0.132931i −0.00295798 + 0.0110393i
\(146\) −1.64400 0.949165i −0.136059 0.0785534i
\(147\) 17.3458 13.3880i 1.43066 1.10423i
\(148\) 5.99137 5.99137i 0.492487 0.492487i
\(149\) −4.02683 + 4.02683i −0.329890 + 0.329890i −0.852545 0.522654i \(-0.824942\pi\)
0.522654 + 0.852545i \(0.324942\pi\)
\(150\) 2.81194 + 10.4943i 0.229594 + 0.856858i
\(151\) −5.35703 + 19.9927i −0.435949 + 1.62698i 0.302838 + 0.953042i \(0.402066\pi\)
−0.738786 + 0.673940i \(0.764601\pi\)
\(152\) 9.00444i 0.730356i
\(153\) −21.7610 + 37.6911i −1.75927 + 3.04715i
\(154\) 2.06875 0.138532i 0.166704 0.0111632i
\(155\) 0.101550i 0.00815668i
\(156\) 10.1596 13.7930i 0.813418 1.10433i
\(157\) 8.02263 4.63187i 0.640275 0.369663i −0.144445 0.989513i \(-0.546140\pi\)
0.784721 + 0.619850i \(0.212806\pi\)
\(158\) 1.60189 1.60189i 0.127440 0.127440i
\(159\) 1.60385 0.925986i 0.127194 0.0734355i
\(160\) 0.108155 + 0.187329i 0.00855037 + 0.0148097i
\(161\) 0.493970 + 7.37662i 0.0389303 + 0.581359i
\(162\) −11.2823 3.02308i −0.886420 0.237516i
\(163\) 2.91268 + 2.91268i 0.228139 + 0.228139i 0.811915 0.583776i \(-0.198425\pi\)
−0.583776 + 0.811915i \(0.698425\pi\)
\(164\) −0.286556 0.0767824i −0.0223763 0.00599570i
\(165\) 0.0657014 0.113798i 0.00511485 0.00885918i
\(166\) −2.41936 4.19046i −0.187779 0.325243i
\(167\) 4.15955 + 15.5237i 0.321876 + 1.20126i 0.917415 + 0.397931i \(0.130272\pi\)
−0.595540 + 0.803326i \(0.703062\pi\)
\(168\) −6.52970 19.1468i −0.503777 1.47721i
\(169\) 12.6795 + 2.86880i 0.975347 + 0.220677i
\(170\) 0.0826709 0.143190i 0.00634057 0.0109822i
\(171\) −17.7205 17.7205i −1.35512 1.35512i
\(172\) −3.23924 −0.246990
\(173\) −21.0663 −1.60164 −0.800821 0.598903i \(-0.795603\pi\)
−0.800821 + 0.598903i \(0.795603\pi\)
\(174\) −5.68646 5.68646i −0.431090 0.431090i
\(175\) −0.883630 13.1955i −0.0667962 0.997489i
\(176\) −0.391312 + 1.46040i −0.0294963 + 0.110082i
\(177\) 34.0816 9.13212i 2.56173 0.686412i
\(178\) −10.1303 5.84874i −0.759299 0.438381i
\(179\) 9.11785i 0.681500i −0.940154 0.340750i \(-0.889319\pi\)
0.940154 0.340750i \(-0.110681\pi\)
\(180\) −0.370732 0.0993373i −0.0276327 0.00740417i
\(181\) −15.7169 −1.16823 −0.584113 0.811672i \(-0.698557\pi\)
−0.584113 + 0.811672i \(0.698557\pi\)
\(182\) 4.88696 4.47127i 0.362245 0.331433i
\(183\) 4.29537 0.317523
\(184\) 6.59308 + 1.76661i 0.486049 + 0.130236i
\(185\) 0.207632i 0.0152654i
\(186\) 5.13907 + 2.96704i 0.376815 + 0.217554i
\(187\) 6.97908 1.87004i 0.510361 0.136751i
\(188\) 2.20890 8.24374i 0.161101 0.601236i
\(189\) 28.2320 + 13.8729i 2.05358 + 1.00910i
\(190\) 0.0673208 + 0.0673208i 0.00488396 + 0.00488396i
\(191\) −17.3072 −1.25230 −0.626151 0.779702i \(-0.715371\pi\)
−0.626151 + 0.779702i \(0.715371\pi\)
\(192\) −4.25344 −0.306966
\(193\) −8.90138 8.90138i −0.640735 0.640735i 0.310001 0.950736i \(-0.399671\pi\)
−0.950736 + 0.310001i \(0.899671\pi\)
\(194\) −0.890537 + 1.54245i −0.0639368 + 0.110742i
\(195\) −0.0629589 0.415042i −0.00450858 0.0297218i
\(196\) 1.41664 + 10.5302i 0.101189 + 0.752154i
\(197\) −6.43206 24.0048i −0.458265 1.71027i −0.678307 0.734778i \(-0.737286\pi\)
0.220042 0.975490i \(-0.429381\pi\)
\(198\) 2.66378 + 4.61380i 0.189306 + 0.327888i
\(199\) −5.29889 + 9.17795i −0.375629 + 0.650608i −0.990421 0.138081i \(-0.955906\pi\)
0.614792 + 0.788689i \(0.289240\pi\)
\(200\) −11.7939 3.16017i −0.833956 0.223458i
\(201\) 16.6966 + 16.6966i 1.17769 + 1.17769i
\(202\) −3.09670 0.829758i −0.217883 0.0583815i
\(203\) 5.45008 + 8.13169i 0.382520 + 0.570733i
\(204\) −15.2085 26.3419i −1.06481 1.84430i
\(205\) −0.00629579 + 0.00363488i −0.000439717 + 0.000253871i
\(206\) −5.76260 + 5.76260i −0.401499 + 0.401499i
\(207\) −16.4516 + 9.49835i −1.14347 + 0.660181i
\(208\) 1.93570 + 4.42524i 0.134216 + 0.306836i
\(209\) 4.16041i 0.287781i
\(210\) −0.191968 0.0943308i −0.0132471 0.00650945i
\(211\) −10.3404 + 17.9102i −0.711865 + 1.23299i 0.252292 + 0.967651i \(0.418816\pi\)
−0.964156 + 0.265335i \(0.914518\pi\)
\(212\) 0.898032i 0.0616771i
\(213\) 8.28854 30.9332i 0.567921 2.11951i
\(214\) 2.34946 + 8.76832i 0.160606 + 0.599390i
\(215\) −0.0561284 + 0.0561284i −0.00382792 + 0.00382792i
\(216\) 20.5357 20.5357i 1.39728 1.39728i
\(217\) −5.43758 4.75504i −0.369127 0.322793i
\(218\) 7.84149 + 4.52729i 0.531093 + 0.306627i
\(219\) −2.21491 + 8.26616i −0.149670 + 0.558575i
\(220\) 0.0318590 + 0.0551814i 0.00214793 + 0.00372033i
\(221\) 13.6893 18.5850i 0.920840 1.25017i
\(222\) 10.5075 + 6.06652i 0.705219 + 0.407158i
\(223\) 3.17269 0.850119i 0.212459 0.0569282i −0.151020 0.988531i \(-0.548256\pi\)
0.363479 + 0.931603i \(0.381589\pi\)
\(224\) 15.0950 + 2.98039i 1.00858 + 0.199136i
\(225\) 29.4292 16.9910i 1.96195 1.13273i
\(226\) −0.667721 2.49197i −0.0444162 0.165763i
\(227\) −17.7728 + 4.76219i −1.17962 + 0.316078i −0.794775 0.606904i \(-0.792411\pi\)
−0.384844 + 0.922982i \(0.625745\pi\)
\(228\) 16.9177 4.53309i 1.12040 0.300211i
\(229\) −2.83894 10.5951i −0.187603 0.700142i −0.994058 0.108848i \(-0.965284\pi\)
0.806456 0.591294i \(-0.201383\pi\)
\(230\) 0.0625004 0.0360846i 0.00412116 0.00237935i
\(231\) −3.01698 8.84660i −0.198503 0.582064i
\(232\) 8.72982 2.33915i 0.573141 0.153573i
\(233\) −7.46970 4.31263i −0.489356 0.282530i 0.234951 0.972007i \(-0.424507\pi\)
−0.724307 + 0.689477i \(0.757840\pi\)
\(234\) 15.8492 + 6.20307i 1.03610 + 0.405507i
\(235\) −0.104569 0.181120i −0.00682136 0.0118149i
\(236\) −4.42822 + 16.5263i −0.288253 + 1.07577i
\(237\) −8.84437 5.10630i −0.574503 0.331690i
\(238\) −3.79621 11.1315i −0.246072 0.721549i
\(239\) −5.82164 + 5.82164i −0.376571 + 0.376571i −0.869863 0.493293i \(-0.835793\pi\)
0.493293 + 0.869863i \(0.335793\pi\)
\(240\) 0.110288 0.110288i 0.00711907 0.00711907i
\(241\) 1.62607 + 6.06856i 0.104744 + 0.390910i 0.998316 0.0580097i \(-0.0184754\pi\)
−0.893572 + 0.448920i \(0.851809\pi\)
\(242\) −1.74794 + 6.52341i −0.112362 + 0.419341i
\(243\) 16.9871i 1.08972i
\(244\) −1.04142 + 1.80380i −0.0666704 + 0.115476i
\(245\) 0.207010 + 0.157916i 0.0132254 + 0.0100889i
\(246\) 0.424810i 0.0270849i
\(247\) 8.29674 + 10.3836i 0.527909 + 0.660694i
\(248\) −5.77549 + 3.33448i −0.366744 + 0.211740i
\(249\) −15.4243 + 15.4243i −0.977474 + 0.977474i
\(250\) −0.223637 + 0.129117i −0.0141440 + 0.00816605i
\(251\) −5.23454 9.06650i −0.330402 0.572272i 0.652189 0.758056i \(-0.273851\pi\)
−0.982591 + 0.185784i \(0.940517\pi\)
\(252\) −22.6785 + 15.1997i −1.42861 + 0.957493i
\(253\) 3.04627 + 0.816245i 0.191517 + 0.0513169i
\(254\) −1.40428 1.40428i −0.0881122 0.0881122i
\(255\) −0.719971 0.192916i −0.0450863 0.0120808i
\(256\) 5.06934 8.78035i 0.316834 0.548772i
\(257\) −2.67510 4.63341i −0.166868 0.289024i 0.770449 0.637502i \(-0.220032\pi\)
−0.937317 + 0.348477i \(0.886699\pi\)
\(258\) −1.20052 4.48039i −0.0747409 0.278937i
\(259\) −11.1179 9.72232i −0.690830 0.604115i
\(260\) 0.189558 + 0.0741892i 0.0117559 + 0.00460102i
\(261\) −12.5766 + 21.7834i −0.778474 + 1.34836i
\(262\) −0.0679130 0.0679130i −0.00419568 0.00419568i
\(263\) 6.16258 0.380001 0.190000 0.981784i \(-0.439151\pi\)
0.190000 + 0.981784i \(0.439151\pi\)
\(264\) −8.62945 −0.531106
\(265\) 0.0155608 + 0.0155608i 0.000955891 + 0.000955891i
\(266\) 6.75702 0.452479i 0.414300 0.0277433i
\(267\) −13.6482 + 50.9359i −0.835259 + 3.11723i
\(268\) −11.0597 + 2.96345i −0.675581 + 0.181021i
\(269\) 17.7974 + 10.2754i 1.08513 + 0.626500i 0.932275 0.361749i \(-0.117820\pi\)
0.152854 + 0.988249i \(0.451154\pi\)
\(270\) 0.307066i 0.0186875i
\(271\) −9.81495 2.62991i −0.596216 0.159756i −0.0519233 0.998651i \(-0.516535\pi\)
−0.544292 + 0.838896i \(0.683202\pi\)
\(272\) 8.57617 0.520007
\(273\) −25.1718 16.0630i −1.52347 0.972178i
\(274\) −11.8449 −0.715578
\(275\) −5.44926 1.46012i −0.328603 0.0880488i
\(276\) 13.2766i 0.799157i
\(277\) 17.6889 + 10.2127i 1.06283 + 0.613623i 0.926213 0.377002i \(-0.123045\pi\)
0.136613 + 0.990624i \(0.456378\pi\)
\(278\) −10.3689 + 2.77834i −0.621885 + 0.166634i
\(279\) 4.80383 17.9281i 0.287598 1.07333i
\(280\) 0.199680 0.133831i 0.0119332 0.00799794i
\(281\) −13.0423 13.0423i −0.778037 0.778037i 0.201460 0.979497i \(-0.435431\pi\)
−0.979497 + 0.201460i \(0.935431\pi\)
\(282\) 12.2211 0.727754
\(283\) −2.01569 −0.119820 −0.0599100 0.998204i \(-0.519081\pi\)
−0.0599100 + 0.998204i \(0.519081\pi\)
\(284\) 10.9806 + 10.9806i 0.651576 + 0.651576i
\(285\) 0.214597 0.371692i 0.0127116 0.0220171i
\(286\) −1.13236 2.58872i −0.0669578 0.153074i
\(287\) −0.100166 + 0.507316i −0.00591258 + 0.0299459i
\(288\) 10.2325 + 38.1883i 0.602958 + 2.25027i
\(289\) −11.9923 20.7713i −0.705430 1.22184i
\(290\) 0.0477792 0.0827560i 0.00280569 0.00485960i
\(291\) 7.75558 + 2.07810i 0.454640 + 0.121820i
\(292\) −2.93429 2.93429i −0.171716 0.171716i
\(293\) 11.4688 + 3.07306i 0.670016 + 0.179530i 0.577762 0.816205i \(-0.303926\pi\)
0.0922540 + 0.995736i \(0.470593\pi\)
\(294\) −14.0399 + 5.86210i −0.818822 + 0.341884i
\(295\) 0.209632 + 0.363093i 0.0122052 + 0.0211401i
\(296\) −11.8088 + 6.81779i −0.686370 + 0.396276i
\(297\) 9.48831 9.48831i 0.550567 0.550567i
\(298\) 3.42448 1.97712i 0.198375 0.114532i
\(299\) 9.23069 4.03770i 0.533825 0.233506i
\(300\) 23.7496i 1.37118i
\(301\) 0.377252 + 5.63363i 0.0217445 + 0.324717i
\(302\) 7.18594 12.4464i 0.413504 0.716211i
\(303\) 14.4525i 0.830275i
\(304\) −1.27812 + 4.77000i −0.0733051 + 0.273578i
\(305\) 0.0132102 + 0.0493010i 0.000756412 + 0.00282297i
\(306\) 21.3688 21.3688i 1.22157 1.22157i
\(307\) −1.46571 + 1.46571i −0.0836528 + 0.0836528i −0.747695 0.664042i \(-0.768839\pi\)
0.664042 + 0.747695i \(0.268839\pi\)
\(308\) 4.44652 + 0.877932i 0.253364 + 0.0500248i
\(309\) 31.8165 + 18.3693i 1.80998 + 1.04499i
\(310\) −0.0182500 + 0.0681097i −0.00103653 + 0.00386837i
\(311\) 1.37387 + 2.37961i 0.0779051 + 0.134936i 0.902346 0.431013i \(-0.141844\pi\)
−0.824441 + 0.565948i \(0.808510\pi\)
\(312\) −21.5376 + 17.2090i −1.21932 + 0.974266i
\(313\) 6.57410 + 3.79556i 0.371590 + 0.214538i 0.674153 0.738592i \(-0.264509\pi\)
−0.302563 + 0.953129i \(0.597842\pi\)
\(314\) −6.21321 + 1.66482i −0.350632 + 0.0939514i
\(315\) −0.129589 + 0.656340i −0.00730153 + 0.0369806i
\(316\) 4.28869 2.47607i 0.241257 0.139290i
\(317\) −2.58134 9.63370i −0.144983 0.541083i −0.999756 0.0220814i \(-0.992971\pi\)
0.854774 0.519001i \(-0.173696\pi\)
\(318\) −1.24212 + 0.332826i −0.0696548 + 0.0186639i
\(319\) 4.03352 1.08078i 0.225834 0.0605120i
\(320\) −0.0130812 0.0488198i −0.000731262 0.00272911i
\(321\) 35.4398 20.4612i 1.97806 1.14203i
\(322\) 0.994377 5.03629i 0.0554144 0.280662i
\(323\) 22.7953 6.10799i 1.26837 0.339858i
\(324\) −22.1121 12.7664i −1.22845 0.709246i
\(325\) −16.5122 + 7.22278i −0.915930 + 0.400648i
\(326\) −1.43009 2.47700i −0.0792056 0.137188i
\(327\) 10.5646 39.4276i 0.584223 2.18035i
\(328\) 0.413456 + 0.238709i 0.0228293 + 0.0131805i
\(329\) −14.5946 2.88160i −0.804628 0.158868i
\(330\) −0.0645173 + 0.0645173i −0.00355156 + 0.00355156i
\(331\) −11.9595 + 11.9595i −0.657354 + 0.657354i −0.954753 0.297399i \(-0.903881\pi\)
0.297399 + 0.954753i \(0.403881\pi\)
\(332\) −2.73762 10.2169i −0.150247 0.560728i
\(333\) 9.82208 36.6565i 0.538246 2.00876i
\(334\) 11.1593i 0.610609i
\(335\) −0.140289 + 0.242988i −0.00766483 + 0.0132759i
\(336\) −0.741273 11.0697i −0.0404398 0.603901i
\(337\) 7.92125i 0.431498i 0.976449 + 0.215749i \(0.0692193\pi\)
−0.976449 + 0.215749i \(0.930781\pi\)
\(338\) −7.98861 4.20280i −0.434523 0.228602i
\(339\) −10.0721 + 5.81511i −0.547039 + 0.315833i
\(340\) 0.255572 0.255572i 0.0138603 0.0138603i
\(341\) −2.66850 + 1.54066i −0.144508 + 0.0834315i
\(342\) 8.70054 + 15.0698i 0.470471 + 0.814880i
\(343\) 18.1489 3.69018i 0.979949 0.199251i
\(344\) 5.03523 + 1.34919i 0.271482 + 0.0727433i
\(345\) −0.230052 0.230052i −0.0123856 0.0123856i
\(346\) 14.1292 + 3.78592i 0.759592 + 0.203532i
\(347\) −12.1691 + 21.0776i −0.653274 + 1.13150i 0.329050 + 0.944313i \(0.393272\pi\)
−0.982324 + 0.187191i \(0.940062\pi\)
\(348\) −8.78968 15.2242i −0.471176 0.816101i
\(349\) −4.20514 15.6938i −0.225096 0.840070i −0.982366 0.186968i \(-0.940134\pi\)
0.757270 0.653102i \(-0.226533\pi\)
\(350\) −1.77877 + 9.00908i −0.0950794 + 0.481556i
\(351\) 4.75940 42.6028i 0.254038 2.27397i
\(352\) 3.28173 5.68412i 0.174917 0.302965i
\(353\) 11.5797 + 11.5797i 0.616327 + 0.616327i 0.944587 0.328260i \(-0.106462\pi\)
−0.328260 + 0.944587i \(0.606462\pi\)
\(354\) −24.4998 −1.30215
\(355\) 0.380534 0.0201966
\(356\) −18.0810 18.0810i −0.958292 0.958292i
\(357\) −44.0422 + 29.5183i −2.33096 + 1.56227i
\(358\) −1.63861 + 6.11536i −0.0866031 + 0.323207i
\(359\) −6.67467 + 1.78847i −0.352276 + 0.0943920i −0.430617 0.902535i \(-0.641704\pi\)
0.0783418 + 0.996927i \(0.475037\pi\)
\(360\) 0.534909 + 0.308830i 0.0281922 + 0.0162768i
\(361\) 5.41112i 0.284796i
\(362\) 10.5413 + 2.82454i 0.554041 + 0.148455i
\(363\) 30.4452 1.59796
\(364\) 12.8485 6.67616i 0.673445 0.349926i
\(365\) −0.101688 −0.00532262
\(366\) −2.88091 0.771939i −0.150588 0.0403499i
\(367\) 14.2975i 0.746323i 0.927766 + 0.373161i \(0.121726\pi\)
−0.927766 + 0.373161i \(0.878274\pi\)
\(368\) 3.24186 + 1.87169i 0.168993 + 0.0975684i
\(369\) −1.28344 + 0.343897i −0.0668132 + 0.0179025i
\(370\) −0.0373145 + 0.139260i −0.00193989 + 0.00723976i
\(371\) 1.56184 0.104588i 0.0810868 0.00542992i
\(372\) 9.17244 + 9.17244i 0.475569 + 0.475569i
\(373\) 22.6652 1.17356 0.586780 0.809747i \(-0.300395\pi\)
0.586780 + 0.809747i \(0.300395\pi\)
\(374\) −5.01696 −0.259421
\(375\) 0.823163 + 0.823163i 0.0425079 + 0.0425079i
\(376\) −6.86726 + 11.8944i −0.354152 + 0.613409i
\(377\) 7.91164 10.7411i 0.407470 0.553196i
\(378\) −16.4421 14.3783i −0.845692 0.739538i
\(379\) −3.37163 12.5831i −0.173189 0.646349i −0.996853 0.0792716i \(-0.974741\pi\)
0.823664 0.567078i \(-0.191926\pi\)
\(380\) 0.104059 + 0.180236i 0.00533812 + 0.00924589i
\(381\) −4.47638 + 7.75331i −0.229332 + 0.397214i
\(382\) 11.6080 + 3.11034i 0.593914 + 0.159139i
\(383\) 1.62393 + 1.62393i 0.0829792 + 0.0829792i 0.747378 0.664399i \(-0.231312\pi\)
−0.664399 + 0.747378i \(0.731312\pi\)
\(384\) −32.3144 8.65861i −1.64904 0.441858i
\(385\) 0.0922602 0.0618353i 0.00470202 0.00315142i
\(386\) 4.37047 + 7.56988i 0.222451 + 0.385297i
\(387\) −12.5643 + 7.25403i −0.638681 + 0.368743i
\(388\) −2.75304 + 2.75304i −0.139764 + 0.139764i
\(389\) 10.9179 6.30348i 0.553562 0.319599i −0.196996 0.980404i \(-0.563118\pi\)
0.750557 + 0.660805i \(0.229785\pi\)
\(390\) −0.0323623 + 0.289685i −0.00163873 + 0.0146687i
\(391\) 17.8892i 0.904695i
\(392\) 2.18386 16.9587i 0.110301 0.856541i
\(393\) −0.216484 + 0.374962i −0.0109202 + 0.0189143i
\(394\) 17.2560i 0.869344i
\(395\) 0.0314083 0.117217i 0.00158032 0.00589784i
\(396\) 3.01419 + 11.2491i 0.151469 + 0.565289i
\(397\) 1.58487 1.58487i 0.0795425 0.0795425i −0.666216 0.745759i \(-0.732087\pi\)
0.745759 + 0.666216i \(0.232087\pi\)
\(398\) 5.20339 5.20339i 0.260822 0.260822i
\(399\) −9.85418 28.8951i −0.493326 1.44656i
\(400\) −5.79914 3.34813i −0.289957 0.167407i
\(401\) 9.33225 34.8284i 0.466030 1.73925i −0.187421 0.982280i \(-0.560013\pi\)
0.653451 0.756969i \(-0.273320\pi\)
\(402\) −8.19784 14.1991i −0.408871 0.708185i
\(403\) −3.58770 + 9.16677i −0.178716 + 0.456630i
\(404\) −6.06920 3.50405i −0.301954 0.174333i
\(405\) −0.604362 + 0.161938i −0.0300310 + 0.00804678i
\(406\) −2.19400 6.43340i −0.108886 0.319284i
\(407\) −5.45612 + 3.15009i −0.270450 + 0.156144i
\(408\) 12.6691 + 47.2817i 0.627214 + 2.34080i
\(409\) −8.91498 + 2.38876i −0.440817 + 0.118117i −0.472400 0.881385i \(-0.656612\pi\)
0.0315823 + 0.999501i \(0.489945\pi\)
\(410\) 0.00487584 0.00130648i 0.000240801 6.45224e-5i
\(411\) 13.8203 + 51.5780i 0.681704 + 2.54415i
\(412\) −15.4280 + 8.90737i −0.760084 + 0.438834i
\(413\) 29.2581 + 5.77678i 1.43970 + 0.284257i
\(414\) 12.7411 3.41398i 0.626192 0.167788i
\(415\) −0.224472 0.129599i −0.0110189 0.00636176i
\(416\) −3.14475 20.7310i −0.154184 1.01642i
\(417\) 24.1962 + 41.9090i 1.18489 + 2.05229i
\(418\) 0.747684 2.79040i 0.0365704 0.136483i
\(419\) −15.4156 8.90022i −0.753103 0.434804i 0.0737108 0.997280i \(-0.476516\pi\)
−0.826814 + 0.562475i \(0.809849\pi\)
\(420\) −0.351970 0.307789i −0.0171744 0.0150186i
\(421\) −5.59661 + 5.59661i −0.272762 + 0.272762i −0.830211 0.557449i \(-0.811780\pi\)
0.557449 + 0.830211i \(0.311780\pi\)
\(422\) 10.1541 10.1541i 0.494292 0.494292i
\(423\) −9.89333 36.9224i −0.481030 1.79523i
\(424\) 0.374042 1.39595i 0.0181651 0.0677931i
\(425\) 32.0008i 1.55226i
\(426\) −11.1183 + 19.2574i −0.538683 + 0.933026i
\(427\) 3.25843 + 1.60115i 0.157686 + 0.0774852i
\(428\) 19.8435i 0.959172i
\(429\) −9.95120 + 7.95122i −0.480449 + 0.383889i
\(430\) 0.0477325 0.0275584i 0.00230186 0.00132898i
\(431\) 8.21330 8.21330i 0.395621 0.395621i −0.481064 0.876685i \(-0.659750\pi\)
0.876685 + 0.481064i \(0.159750\pi\)
\(432\) 13.7935 7.96366i 0.663638 0.383152i
\(433\) 14.5052 + 25.1237i 0.697073 + 1.20737i 0.969477 + 0.245183i \(0.0788481\pi\)
−0.272403 + 0.962183i \(0.587819\pi\)
\(434\) 2.79245 + 4.16642i 0.134042 + 0.199995i
\(435\) −0.416103 0.111495i −0.0199506 0.00534575i
\(436\) 13.9958 + 13.9958i 0.670279 + 0.670279i
\(437\) 9.94983 + 2.66605i 0.475965 + 0.127534i
\(438\) 2.97109 5.14608i 0.141964 0.245889i
\(439\) 8.42786 + 14.5975i 0.402240 + 0.696700i 0.993996 0.109417i \(-0.0348984\pi\)
−0.591756 + 0.806117i \(0.701565\pi\)
\(440\) −0.0265394 0.0990464i −0.00126522 0.00472185i
\(441\) 29.0763 + 37.6719i 1.38459 + 1.79390i
\(442\) −12.5214 + 10.0049i −0.595583 + 0.475884i
\(443\) 16.1369 27.9499i 0.766685 1.32794i −0.172666 0.984980i \(-0.555238\pi\)
0.939351 0.342957i \(-0.111429\pi\)
\(444\) 18.7543 + 18.7543i 0.890039 + 0.890039i
\(445\) −0.626603 −0.0297038
\(446\) −2.28071 −0.107995
\(447\) −12.6048 12.6048i −0.596189 0.596189i
\(448\) −3.22662 1.58552i −0.152444 0.0749089i
\(449\) 4.40700 16.4471i 0.207979 0.776188i −0.780542 0.625103i \(-0.785057\pi\)
0.988521 0.151085i \(-0.0482766\pi\)
\(450\) −22.7918 + 6.10703i −1.07441 + 0.287888i
\(451\) 0.191033 + 0.110293i 0.00899539 + 0.00519349i
\(452\) 5.63956i 0.265262i
\(453\) −62.5815 16.7687i −2.94033 0.787860i
\(454\) 12.7761 0.599610
\(455\) 0.106952 0.338316i 0.00501399 0.0158605i
\(456\) −28.1859 −1.31992
\(457\) 5.51768 + 1.47846i 0.258106 + 0.0691593i 0.385552 0.922686i \(-0.374011\pi\)
−0.127446 + 0.991846i \(0.540678\pi\)
\(458\) 7.61634i 0.355888i
\(459\) −65.9175 38.0575i −3.07677 1.77637i
\(460\) 0.152385 0.0408314i 0.00710499 0.00190378i
\(461\) 7.08521 26.4424i 0.329991 1.23154i −0.579207 0.815180i \(-0.696638\pi\)
0.909198 0.416363i \(-0.136695\pi\)
\(462\) 0.433636 + 6.47563i 0.0201746 + 0.301274i
\(463\) −13.6953 13.6953i −0.636477 0.636477i 0.313208 0.949685i \(-0.398596\pi\)
−0.949685 + 0.313208i \(0.898596\pi\)
\(464\) 4.95655 0.230102
\(465\) 0.317873 0.0147410
\(466\) 4.23490 + 4.23490i 0.196178 + 0.196178i
\(467\) −8.36822 + 14.4942i −0.387235 + 0.670711i −0.992077 0.125635i \(-0.959903\pi\)
0.604841 + 0.796346i \(0.293236\pi\)
\(468\) 29.9560 + 22.0648i 1.38471 + 1.01995i
\(469\) 6.44203 + 18.8898i 0.297465 + 0.872248i
\(470\) 0.0375852 + 0.140270i 0.00173368 + 0.00647017i
\(471\) 14.4987 + 25.1126i 0.668067 + 1.15713i
\(472\) 13.7669 23.8450i 0.633672 1.09755i
\(473\) 2.32648 + 0.623378i 0.106972 + 0.0286629i
\(474\) 5.01427 + 5.01427i 0.230313 + 0.230313i
\(475\) −17.7986 4.76912i −0.816655 0.218822i
\(476\) −1.71776 25.6519i −0.0787335 1.17575i
\(477\) 2.01107 + 3.48328i 0.0920807 + 0.159488i
\(478\) 4.95082 2.85836i 0.226445 0.130738i
\(479\) −15.9299 + 15.9299i −0.727854 + 0.727854i −0.970192 0.242338i \(-0.922086\pi\)
0.242338 + 0.970192i \(0.422086\pi\)
\(480\) −0.586382 + 0.338548i −0.0267645 + 0.0154525i
\(481\) −7.33553 + 18.7427i −0.334471 + 0.854594i
\(482\) 4.36243i 0.198703i
\(483\) −23.0904 + 1.54623i −1.05065 + 0.0703561i
\(484\) −7.38154 + 12.7852i −0.335525 + 0.581146i
\(485\) 0.0954074i 0.00433223i
\(486\) 3.05282 11.3933i 0.138479 0.516810i
\(487\) −1.80668 6.74263i −0.0818685 0.305538i 0.912834 0.408330i \(-0.133889\pi\)
−0.994703 + 0.102793i \(0.967222\pi\)
\(488\) 2.37015 2.37015i 0.107292 0.107292i
\(489\) −9.11734 + 9.11734i −0.412300 + 0.412300i
\(490\) −0.110462 0.143117i −0.00499018 0.00646537i
\(491\) −2.12954 1.22949i −0.0961048 0.0554861i 0.451177 0.892434i \(-0.351004\pi\)
−0.547282 + 0.836948i \(0.684338\pi\)
\(492\) 0.240346 0.896982i 0.0108356 0.0404391i
\(493\) −11.8434 20.5134i −0.533401 0.923877i
\(494\) −3.69856 8.45536i −0.166406 0.380425i
\(495\) 0.247149 + 0.142692i 0.0111085 + 0.00641351i
\(496\) −3.53281 + 0.946613i −0.158628 + 0.0425042i
\(497\) 17.8184 20.3760i 0.799263 0.913990i
\(498\) 13.1171 7.57314i 0.587790 0.339360i
\(499\) −4.82722 18.0154i −0.216096 0.806481i −0.985778 0.168054i \(-0.946252\pi\)
0.769682 0.638428i \(-0.220415\pi\)
\(500\) −0.545258 + 0.146101i −0.0243847 + 0.00653385i
\(501\) −48.5924 + 13.0203i −2.17095 + 0.581704i
\(502\) 1.88144 + 7.02164i 0.0839729 + 0.313391i
\(503\) −29.6335 + 17.1089i −1.32129 + 0.762849i −0.983935 0.178527i \(-0.942867\pi\)
−0.337359 + 0.941376i \(0.609533\pi\)
\(504\) 41.5835 14.1813i 1.85228 0.631686i
\(505\) −0.165882 + 0.0444479i −0.00738165 + 0.00197791i
\(506\) −1.89645 1.09491i −0.0843074 0.0486749i
\(507\) −8.97997 + 39.6896i −0.398815 + 1.76268i
\(508\) −2.17062 3.75963i −0.0963057 0.166806i
\(509\) −2.22128 + 8.28991i −0.0984563 + 0.367444i −0.997521 0.0703723i \(-0.977581\pi\)
0.899065 + 0.437816i \(0.144248\pi\)
\(510\) 0.448217 + 0.258778i 0.0198474 + 0.0114589i
\(511\) −4.76153 + 5.44500i −0.210637 + 0.240873i
\(512\) 10.1365 10.1365i 0.447973 0.447973i
\(513\) 30.9911 30.9911i 1.36829 1.36829i
\(514\) 0.961507 + 3.58839i 0.0424103 + 0.158277i
\(515\) −0.112987 + 0.421674i −0.00497882 + 0.0185812i
\(516\) 10.1395i 0.446368i
\(517\) −3.17294 + 5.49570i −0.139546 + 0.241701i
\(518\) 5.70954 + 8.51882i 0.250863 + 0.374295i
\(519\) 65.9422i 2.89454i
\(520\) −0.263757 0.194277i −0.0115665 0.00851960i
\(521\) −19.8996 + 11.4890i −0.871817 + 0.503344i −0.867952 0.496649i \(-0.834564\pi\)
−0.00386537 + 0.999993i \(0.501230\pi\)
\(522\) 12.3500 12.3500i 0.540543 0.540543i
\(523\) 25.8931 14.9494i 1.13222 0.653690i 0.187731 0.982220i \(-0.439887\pi\)
0.944493 + 0.328530i \(0.106553\pi\)
\(524\) −0.104975 0.181821i −0.00458583 0.00794289i
\(525\) 41.3049 2.76596i 1.80269 0.120716i
\(526\) −4.13326 1.10750i −0.180218 0.0482894i
\(527\) 12.3591 + 12.3591i 0.538373 + 0.538373i
\(528\) −4.57136 1.22489i −0.198943 0.0533066i
\(529\) −7.59582 + 13.1563i −0.330253 + 0.572015i
\(530\) −0.00764016 0.0132331i −0.000331867 0.000574811i
\(531\) 19.8333 + 74.0189i 0.860692 + 3.21215i
\(532\) 14.5234 + 2.86753i 0.629670 + 0.124323i
\(533\) 0.696731 0.105689i 0.0301788 0.00457790i
\(534\) 18.3078 31.7101i 0.792257 1.37223i
\(535\) 0.343841 + 0.343841i 0.0148655 + 0.0148655i
\(536\) 18.4261 0.795886
\(537\) 28.5409 1.23163
\(538\) −10.0902 10.0902i −0.435018 0.435018i
\(539\) 1.00903 7.83557i 0.0434619 0.337502i
\(540\) 0.173730 0.648368i 0.00747614 0.0279013i
\(541\) −12.3896 + 3.31979i −0.532672 + 0.142729i −0.515122 0.857117i \(-0.672253\pi\)
−0.0175501 + 0.999846i \(0.505587\pi\)
\(542\) 6.11028 + 3.52777i 0.262459 + 0.151531i
\(543\) 49.1972i 2.11126i
\(544\) −35.9619 9.63597i −1.54186 0.413139i
\(545\) 0.485030 0.0207764
\(546\) 13.9961 + 15.2972i 0.598976 + 0.654661i
\(547\) 33.5639 1.43509 0.717543 0.696514i \(-0.245267\pi\)
0.717543 + 0.696514i \(0.245267\pi\)
\(548\) −25.0105 6.70153i −1.06839 0.286275i
\(549\) 9.32876i 0.398142i
\(550\) 3.39243 + 1.95862i 0.144654 + 0.0835158i
\(551\) 13.1744 3.53008i 0.561250 0.150387i
\(552\) −5.52988 + 20.6378i −0.235367 + 0.878403i
\(553\) −4.80582 7.17044i −0.204364 0.304918i
\(554\) −10.0286 10.0286i −0.426076 0.426076i
\(555\) 0.649935 0.0275882
\(556\) −23.4658 −0.995170
\(557\) 16.7811 + 16.7811i 0.711036 + 0.711036i 0.966752 0.255716i \(-0.0823111\pi\)
−0.255716 + 0.966752i \(0.582311\pi\)
\(558\) −6.44388 + 11.1611i −0.272791 + 0.472488i
\(559\) 7.04961 3.08365i 0.298167 0.130425i
\(560\) 0.124775 0.0425523i 0.00527270 0.00179816i
\(561\) 5.85363 + 21.8460i 0.247140 + 0.922340i
\(562\) 6.40360 + 11.0914i 0.270120 + 0.467861i
\(563\) 12.3766 21.4369i 0.521611 0.903457i −0.478073 0.878320i \(-0.658664\pi\)
0.999684 0.0251369i \(-0.00800217\pi\)
\(564\) 25.8047 + 6.91435i 1.08657 + 0.291147i
\(565\) −0.0977202 0.0977202i −0.00411112 0.00411112i
\(566\) 1.35193 + 0.362247i 0.0568257 + 0.0152264i
\(567\) −19.6279 + 39.9438i −0.824295 + 1.67748i
\(568\) −12.4952 21.6423i −0.524285 0.908089i
\(569\) −33.4106 + 19.2896i −1.40064 + 0.808663i −0.994459 0.105128i \(-0.966475\pi\)
−0.406186 + 0.913790i \(0.633141\pi\)
\(570\) −0.210729 + 0.210729i −0.00882646 + 0.00882646i
\(571\) 25.3815 14.6540i 1.06218 0.613252i 0.136148 0.990689i \(-0.456528\pi\)
0.926035 + 0.377437i \(0.123194\pi\)
\(572\) −0.926345 6.10671i −0.0387324 0.255335i
\(573\) 54.1752i 2.26320i
\(574\) 0.158353 0.322257i 0.00660953 0.0134507i
\(575\) −6.98393 + 12.0965i −0.291250 + 0.504460i
\(576\) 9.23770i 0.384904i
\(577\) −10.3264 + 38.5387i −0.429894 + 1.60439i 0.323103 + 0.946364i \(0.395274\pi\)
−0.752997 + 0.658024i \(0.771393\pi\)
\(578\) 4.31037 + 16.0865i 0.179288 + 0.669112i
\(579\) 27.8632 27.8632i 1.15796 1.15796i
\(580\) 0.147707 0.147707i 0.00613318 0.00613318i
\(581\) −17.4503 + 5.95113i −0.723961 + 0.246894i
\(582\) −4.82822 2.78757i −0.200136 0.115549i
\(583\) 0.172822 0.644982i 0.00715757 0.0267124i
\(584\) 3.33903 + 5.78337i 0.138170 + 0.239317i
\(585\) 0.901396 0.136735i 0.0372682 0.00565331i
\(586\) −7.13990 4.12222i −0.294946 0.170287i
\(587\) −31.6109 + 8.47012i −1.30472 + 0.349599i −0.843234 0.537547i \(-0.819351\pi\)
−0.461489 + 0.887146i \(0.652684\pi\)
\(588\) −32.9617 + 4.43440i −1.35932 + 0.182872i
\(589\) −8.71597 + 5.03217i −0.359135 + 0.207347i
\(590\) −0.0753476 0.281201i −0.00310201 0.0115769i
\(591\) 75.1401 20.1337i 3.09085 0.828191i
\(592\) −7.22330 + 1.93548i −0.296876 + 0.0795477i
\(593\) −5.62965 21.0102i −0.231182 0.862784i −0.979833 0.199819i \(-0.935965\pi\)
0.748651 0.662965i \(-0.230702\pi\)
\(594\) −8.06901 + 4.65865i −0.331076 + 0.191147i
\(595\) −0.474252 0.414722i −0.0194424 0.0170020i
\(596\) 8.34937 2.23721i 0.342003 0.0916396i
\(597\) −28.7290 16.5867i −1.17580 0.678848i
\(598\) −6.91668 + 1.04921i −0.282844 + 0.0429054i
\(599\) −15.0536 26.0736i −0.615073 1.06534i −0.990372 0.138434i \(-0.955793\pi\)
0.375299 0.926904i \(-0.377540\pi\)
\(600\) 9.89203 36.9176i 0.403840 1.50715i
\(601\) 16.4105 + 9.47460i 0.669398 + 0.386477i 0.795849 0.605496i \(-0.207025\pi\)
−0.126450 + 0.991973i \(0.540358\pi\)
\(602\) 0.759420 3.84629i 0.0309516 0.156763i
\(603\) −36.2620 + 36.2620i −1.47670 + 1.47670i
\(604\) 22.2149 22.2149i 0.903912 0.903912i
\(605\) 0.0936327 + 0.349442i 0.00380671 + 0.0142068i
\(606\) 2.59732 9.69334i 0.105509 0.393765i
\(607\) 21.3014i 0.864597i −0.901731 0.432298i \(-0.857703\pi\)
0.901731 0.432298i \(-0.142297\pi\)
\(608\) 10.7189 18.5657i 0.434709 0.752939i
\(609\) −25.4540 + 17.0599i −1.03145 + 0.691303i
\(610\) 0.0354404i 0.00143494i
\(611\) 3.04050 + 20.0438i 0.123005 + 0.810885i
\(612\) 57.2099 33.0301i 2.31257 1.33516i
\(613\) −17.6991 + 17.6991i −0.714860 + 0.714860i −0.967548 0.252688i \(-0.918686\pi\)
0.252688 + 0.967548i \(0.418686\pi\)
\(614\) 1.24647 0.719649i 0.0503034 0.0290427i
\(615\) −0.0113780 0.0197072i −0.000458804 0.000794671i
\(616\) −6.54623 3.21674i −0.263755 0.129606i
\(617\) −29.1852 7.82015i −1.17495 0.314827i −0.382029 0.924150i \(-0.624775\pi\)
−0.792922 + 0.609323i \(0.791441\pi\)
\(618\) −18.0382 18.0382i −0.725602 0.725602i
\(619\) 41.0017 + 10.9864i 1.64800 + 0.441580i 0.959052 0.283232i \(-0.0914065\pi\)
0.688947 + 0.724812i \(0.258073\pi\)
\(620\) −0.0770693 + 0.133488i −0.00309518 + 0.00536100i
\(621\) −16.6115 28.7720i −0.666598 1.15458i
\(622\) −0.493808 1.84292i −0.0197999 0.0738942i
\(623\) −29.3404 + 33.5520i −1.17550 + 1.34423i
\(624\) −13.8520 + 6.05915i −0.554523 + 0.242560i
\(625\) 12.4896 21.6327i 0.499585 0.865307i
\(626\) −3.72715 3.72715i −0.148967 0.148967i
\(627\) −13.0230 −0.520088
\(628\) −14.0611 −0.561097
\(629\) 25.2700 + 25.2700i 1.00758 + 1.00758i
\(630\) 0.204869 0.416920i 0.00816219 0.0166105i
\(631\) −9.55956 + 35.6768i −0.380560 + 1.42027i 0.464488 + 0.885579i \(0.346238\pi\)
−0.845048 + 0.534690i \(0.820428\pi\)
\(632\) −7.69786 + 2.06264i −0.306205 + 0.0820473i
\(633\) −56.0627 32.3678i −2.22829 1.28650i
\(634\) 6.92525i 0.275037i
\(635\) −0.102757 0.0275337i −0.00407779 0.00109264i
\(636\) −2.81104 −0.111465
\(637\) −13.1074 21.5684i −0.519336 0.854570i
\(638\) −2.89952 −0.114793
\(639\) 67.1814 + 18.0012i 2.65765 + 0.712116i
\(640\) 0.397524i 0.0157135i
\(641\) 7.17353 + 4.14164i 0.283338 + 0.163585i 0.634933 0.772567i \(-0.281028\pi\)
−0.351596 + 0.936152i \(0.614361\pi\)
\(642\) −27.4467 + 7.35433i −1.08324 + 0.290252i
\(643\) −8.56893 + 31.9797i −0.337926 + 1.26116i 0.562737 + 0.826636i \(0.309748\pi\)
−0.900663 + 0.434519i \(0.856918\pi\)
\(644\) 4.94902 10.0715i 0.195019 0.396873i
\(645\) −0.175694 0.175694i −0.00691794 0.00691794i
\(646\) −16.3866 −0.644721
\(647\) −13.1656 −0.517594 −0.258797 0.965932i \(-0.583326\pi\)
−0.258797 + 0.965932i \(0.583326\pi\)
\(648\) 29.0547 + 29.0547i 1.14138 + 1.14138i
\(649\) 6.36085 11.0173i 0.249685 0.432467i
\(650\) 12.3728 1.87686i 0.485301 0.0736166i
\(651\) 14.8843 17.0208i 0.583362 0.667098i
\(652\) −1.61822 6.03927i −0.0633743 0.236516i
\(653\) 23.6676 + 40.9935i 0.926184 + 1.60420i 0.789645 + 0.613564i \(0.210265\pi\)
0.136539 + 0.990635i \(0.456402\pi\)
\(654\) −14.1714 + 24.5456i −0.554146 + 0.959808i
\(655\) −0.00496949 0.00133157i −0.000194174 5.20288e-5i
\(656\) 0.185141 + 0.185141i 0.00722852 + 0.00722852i
\(657\) −17.9526 4.81038i −0.700397 0.187671i
\(658\) 9.27079 + 4.55556i 0.361413 + 0.177594i
\(659\) −2.76562 4.79019i −0.107733 0.186599i 0.807118 0.590390i \(-0.201026\pi\)
−0.914852 + 0.403790i \(0.867693\pi\)
\(660\) −0.172730 + 0.0997256i −0.00672350 + 0.00388181i
\(661\) 12.8524 12.8524i 0.499901 0.499901i −0.411506 0.911407i \(-0.634997\pi\)
0.911407 + 0.411506i \(0.134997\pi\)
\(662\) 10.1706 5.87198i 0.395290 0.228221i
\(663\) 58.1752 + 42.8504i 2.25934 + 1.66417i
\(664\) 17.0220i 0.660581i
\(665\) 0.301344 0.201969i 0.0116856 0.00783201i
\(666\) −13.1754 + 22.8204i −0.510536 + 0.884274i
\(667\) 10.3390i 0.400326i
\(668\) 6.31362 23.5628i 0.244281 0.911671i
\(669\) 2.66106 + 9.93120i 0.102882 + 0.383962i
\(670\) 0.137761 0.137761i 0.00532217 0.00532217i
\(671\) 1.09510 1.09510i 0.0422760 0.0422760i
\(672\) −9.32928 + 47.2507i −0.359885 + 1.82273i
\(673\) −3.86827 2.23334i −0.149111 0.0860891i 0.423588 0.905855i \(-0.360770\pi\)
−0.572699 + 0.819766i \(0.694104\pi\)
\(674\) 1.42356 5.31280i 0.0548335 0.204641i
\(675\) 29.7153 + 51.4683i 1.14374 + 1.98102i
\(676\) −14.4901 13.3939i −0.557311 0.515151i
\(677\) −20.1346 11.6247i −0.773836 0.446775i 0.0604051 0.998174i \(-0.480761\pi\)
−0.834241 + 0.551399i \(0.814094\pi\)
\(678\) 7.80041 2.09011i 0.299573 0.0802703i
\(679\) 5.10867 + 4.46742i 0.196053 + 0.171444i
\(680\) −0.503723 + 0.290825i −0.0193169 + 0.0111526i
\(681\) −14.9067 55.6326i −0.571226 2.13185i
\(682\) 2.06665 0.553757i 0.0791361 0.0212045i
\(683\) −7.66466 + 2.05374i −0.293280 + 0.0785842i −0.402459 0.915438i \(-0.631844\pi\)
0.109179 + 0.994022i \(0.465178\pi\)
\(684\) 9.84506 + 36.7422i 0.376435 + 1.40487i
\(685\) −0.549494 + 0.317250i −0.0209951 + 0.0121215i
\(686\) −12.8357 0.786604i −0.490069 0.0300327i
\(687\) 33.1649 8.88651i 1.26532 0.339041i
\(688\) 2.47585 + 1.42943i 0.0943910 + 0.0544967i
\(689\) −0.854898 1.95440i −0.0325690 0.0744568i
\(690\) 0.112953 + 0.195640i 0.00430004 + 0.00744789i
\(691\) 2.98617 11.1445i 0.113599 0.423958i −0.885579 0.464489i \(-0.846238\pi\)
0.999178 + 0.0405305i \(0.0129048\pi\)
\(692\) 27.6918 + 15.9879i 1.05268 + 0.607768i
\(693\) 19.2132 6.55233i 0.729849 0.248902i
\(694\) 11.9498 11.9498i 0.453609 0.453609i
\(695\) −0.406606 + 0.406606i −0.0154234 + 0.0154234i
\(696\) 7.32204 + 27.3262i 0.277541 + 1.03580i
\(697\) 0.323847 1.20861i 0.0122666 0.0457795i
\(698\) 11.2816i 0.427014i
\(699\) 13.4995 23.3818i 0.510597 0.884380i
\(700\) −8.85296 + 18.0162i −0.334611 + 0.680950i
\(701\) 11.0088i 0.415797i 0.978150 + 0.207898i \(0.0666624\pi\)
−0.978150 + 0.207898i \(0.933338\pi\)
\(702\) −10.8485 + 27.7185i −0.409449 + 1.04617i
\(703\) −17.8210 + 10.2889i −0.672131 + 0.388055i
\(704\) −1.08441 + 1.08441i −0.0408704 + 0.0408704i
\(705\) 0.566944 0.327325i 0.0213523 0.0123278i
\(706\) −5.68552 9.84760i −0.213977 0.370619i
\(707\) −5.38736 + 10.9635i −0.202612 + 0.412327i
\(708\) −51.7311 13.8613i −1.94417 0.520939i
\(709\) −21.0170 21.0170i −0.789311 0.789311i 0.192070 0.981381i \(-0.438480\pi\)
−0.981381 + 0.192070i \(0.938480\pi\)
\(710\) −0.255225 0.0683873i −0.00957842 0.00256653i
\(711\) 11.0900 19.2084i 0.415906 0.720370i
\(712\) 20.5750 + 35.6370i 0.771082 + 1.33555i
\(713\) 1.97456 + 7.36914i 0.0739477 + 0.275977i
\(714\) 34.8441 11.8830i 1.30401 0.444709i
\(715\) −0.121866 0.0897635i −0.00455754 0.00335697i
\(716\) −6.91982 + 11.9855i −0.258606 + 0.447918i
\(717\) −18.2230 18.2230i −0.680551 0.680551i
\(718\) 4.79813 0.179065
\(719\) −24.3844 −0.909386 −0.454693 0.890648i \(-0.650251\pi\)
−0.454693 + 0.890648i \(0.650251\pi\)
\(720\) 0.239526 + 0.239526i 0.00892660 + 0.00892660i
\(721\) 17.2883 + 25.7948i 0.643851 + 0.960647i
\(722\) −0.972454 + 3.62925i −0.0361910 + 0.135067i
\(723\) −18.9959 + 5.08994i −0.706466 + 0.189297i
\(724\) 20.6599 + 11.9280i 0.767820 + 0.443301i
\(725\) 18.4947i 0.686874i
\(726\) −20.4197 5.47144i −0.757846 0.203064i
\(727\) −20.3008 −0.752915 −0.376458 0.926434i \(-0.622858\pi\)
−0.376458 + 0.926434i \(0.622858\pi\)
\(728\) −22.7531 + 5.02617i −0.843284 + 0.186282i
\(729\) −2.70851 −0.100315
\(730\) 0.0682027 + 0.0182749i 0.00252429 + 0.000676383i
\(731\) 13.6622i 0.505316i
\(732\) −5.64629 3.25989i −0.208693 0.120489i
\(733\) −15.8654 + 4.25111i −0.586001 + 0.157019i −0.539625 0.841906i \(-0.681434\pi\)
−0.0463761 + 0.998924i \(0.514767\pi\)
\(734\) 2.56946 9.58936i 0.0948406 0.353950i
\(735\) −0.494311 + 0.647986i −0.0182329 + 0.0239013i
\(736\) −11.4909 11.4909i −0.423560 0.423560i
\(737\) 8.51359 0.313602
\(738\) 0.922609 0.0339617
\(739\) −30.2907 30.2907i −1.11426 1.11426i −0.992568 0.121692i \(-0.961168\pi\)
−0.121692 0.992568i \(-0.538832\pi\)
\(740\) −0.157579 + 0.272934i −0.00579270 + 0.0100333i
\(741\) −32.5030 + 25.9706i −1.19403 + 0.954054i
\(742\) −1.06633 0.210538i −0.0391461 0.00772910i
\(743\) 12.7481 + 47.5766i 0.467683 + 1.74542i 0.647838 + 0.761778i \(0.275673\pi\)
−0.180155 + 0.983638i \(0.557660\pi\)
\(744\) −10.4376 18.0785i −0.382663 0.662791i
\(745\) 0.105909 0.183440i 0.00388022 0.00672073i
\(746\) −15.2016 4.07326i −0.556570 0.149133i
\(747\) −33.4987 33.4987i −1.22565 1.22565i
\(748\) −10.5933 2.83846i −0.387328 0.103784i
\(749\) 34.5115 2.31104i 1.26102 0.0844435i
\(750\) −0.404163 0.700031i −0.0147580 0.0255615i
\(751\) 19.9626 11.5254i 0.728444 0.420567i −0.0894086 0.995995i \(-0.528498\pi\)
0.817853 + 0.575428i \(0.195164\pi\)
\(752\) −5.32619 + 5.32619i −0.194226 + 0.194226i
\(753\) 28.3801 16.3853i 1.03423 0.597112i
\(754\) −7.23669 + 5.78227i −0.263545 + 0.210578i
\(755\) 0.769863i 0.0280182i
\(756\) −26.5826 39.6621i −0.966801 1.44250i
\(757\) 24.1858 41.8911i 0.879049 1.52256i 0.0266620 0.999645i \(-0.491512\pi\)
0.852387 0.522912i \(-0.175154\pi\)
\(758\) 9.04543i 0.328545i
\(759\) −2.55502 + 9.53548i −0.0927415 + 0.346116i
\(760\) −0.0866840 0.323509i −0.00314436 0.0117349i
\(761\) 20.6720 20.6720i 0.749359 0.749359i −0.225000 0.974359i \(-0.572238\pi\)
0.974359 + 0.225000i \(0.0722381\pi\)
\(762\) 4.39570 4.39570i 0.159239 0.159239i
\(763\) 22.7113 25.9713i 0.822206 0.940226i
\(764\) 22.7504 + 13.1349i 0.823079 + 0.475205i
\(765\) 0.418978 1.56365i 0.0151482 0.0565337i
\(766\) −0.797333 1.38102i −0.0288088 0.0498983i
\(767\) −6.09534 40.1821i −0.220090 1.45089i
\(768\) 27.4844 + 15.8681i 0.991759 + 0.572592i
\(769\) −1.87337 + 0.501968i −0.0675554 + 0.0181014i −0.292438 0.956284i \(-0.594467\pi\)
0.224883 + 0.974386i \(0.427800\pi\)
\(770\) −0.0729918 + 0.0248926i −0.00263044 + 0.000897067i
\(771\) 14.5036 8.37365i 0.522334 0.301570i
\(772\) 4.94539 + 18.4564i 0.177988 + 0.664262i
\(773\) −4.92031 + 1.31839i −0.176971 + 0.0474193i