Properties

Label 76.2.k.a.67.3
Level $76$
Weight $2$
Character 76.67
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 67.3
Character \(\chi\) \(=\) 76.67
Dual form 76.2.k.a.59.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15089 - 0.821857i) q^{2} +(-1.21573 + 1.02012i) q^{3} +(0.649103 + 1.89174i) q^{4} +(2.19521 + 0.798993i) q^{5} +(2.23756 - 0.174889i) q^{6} +(1.56922 + 0.905989i) q^{7} +(0.807690 - 2.71065i) q^{8} +(-0.0835893 + 0.474059i) q^{9} +O(q^{10})\) \(q+(-1.15089 - 0.821857i) q^{2} +(-1.21573 + 1.02012i) q^{3} +(0.649103 + 1.89174i) q^{4} +(2.19521 + 0.798993i) q^{5} +(2.23756 - 0.174889i) q^{6} +(1.56922 + 0.905989i) q^{7} +(0.807690 - 2.71065i) q^{8} +(-0.0835893 + 0.474059i) q^{9} +(-1.86980 - 2.72371i) q^{10} +(1.01630 - 0.586764i) q^{11} +(-2.71892 - 1.63767i) q^{12} +(-2.13186 + 2.54065i) q^{13} +(-1.06141 - 2.33237i) q^{14} +(-3.48385 + 1.26802i) q^{15} +(-3.15733 + 2.45586i) q^{16} +(-1.18980 - 6.74770i) q^{17} +(0.485810 - 0.476892i) q^{18} +(2.39394 + 3.64267i) q^{19} +(-0.0865640 + 4.67139i) q^{20} +(-2.83196 + 0.499350i) q^{21} +(-1.65189 - 0.159955i) q^{22} +(-1.21130 - 3.32803i) q^{23} +(1.78325 + 4.11935i) q^{24} +(0.350354 + 0.293982i) q^{25} +(4.54158 - 1.17193i) q^{26} +(-2.76250 - 4.78479i) q^{27} +(-0.695308 + 3.55663i) q^{28} +(-0.974984 - 0.171916i) q^{29} +(5.05166 + 1.40387i) q^{30} +(5.07007 - 8.78162i) q^{31} +(5.65211 - 0.231556i) q^{32} +(-0.636982 + 1.75009i) q^{33} +(-4.17631 + 8.74371i) q^{34} +(2.72089 + 3.24263i) q^{35} +(-0.951052 + 0.149584i) q^{36} -3.26731i q^{37} +(0.238594 - 6.15979i) q^{38} -5.26347i q^{39} +(3.93884 - 5.30513i) q^{40} +(6.74550 + 8.03898i) q^{41} +(3.66967 + 1.75276i) q^{42} +(-2.85313 + 7.83891i) q^{43} +(1.76969 + 1.54171i) q^{44} +(-0.562266 + 0.973873i) q^{45} +(-1.34109 + 4.82572i) q^{46} +(-6.49876 - 1.14591i) q^{47} +(1.33319 - 6.20650i) q^{48} +(-1.85837 - 3.21879i) q^{49} +(-0.161609 - 0.626283i) q^{50} +(8.32990 + 6.98962i) q^{51} +(-6.19003 - 2.38377i) q^{52} +(-0.859106 - 2.36038i) q^{53} +(-0.753075 + 7.77716i) q^{54} +(2.69983 - 0.476052i) q^{55} +(3.72326 - 3.52185i) q^{56} +(-6.62632 - 1.98640i) q^{57} +(0.980811 + 0.999154i) q^{58} +(0.0105140 + 0.0596279i) q^{59} +(-4.66013 - 5.76745i) q^{60} +(2.43900 - 0.887725i) q^{61} +(-13.0523 + 5.93982i) q^{62} +(-0.560662 + 0.668171i) q^{63} +(-6.69527 - 4.37873i) q^{64} +(-6.70984 + 3.87393i) q^{65} +(2.17142 - 1.49066i) q^{66} +(-0.731326 + 4.14755i) q^{67} +(11.9926 - 6.63074i) q^{68} +(4.86759 + 2.81031i) q^{69} +(-0.466472 - 5.96811i) q^{70} +(-14.6166 - 5.32002i) q^{71} +(1.21749 + 0.609474i) q^{72} +(5.56052 - 4.66583i) q^{73} +(-2.68526 + 3.76032i) q^{74} -0.725831 q^{75} +(-5.33707 + 6.89317i) q^{76} +2.12641 q^{77} +(-4.32582 + 6.05769i) q^{78} +(2.92379 - 2.45335i) q^{79} +(-8.89324 + 2.86846i) q^{80} +(6.88247 + 2.50501i) q^{81} +(-1.15645 - 14.7958i) q^{82} +(7.29036 + 4.20909i) q^{83} +(-2.78287 - 5.03318i) q^{84} +(2.77949 - 15.7633i) q^{85} +(9.72611 - 6.67687i) q^{86} +(1.36069 - 0.785594i) q^{87} +(-0.769654 - 3.22877i) q^{88} +(-4.45745 + 5.31218i) q^{89} +(1.44749 - 0.658720i) q^{90} +(-5.64715 + 2.05539i) q^{91} +(5.50950 - 4.45170i) q^{92} +(2.79445 + 15.8481i) q^{93} +(6.53760 + 6.65987i) q^{94} +(2.34474 + 9.90919i) q^{95} +(-6.63521 + 6.04732i) q^{96} +(9.53373 - 1.68105i) q^{97} +(-0.506603 + 5.23179i) q^{98} +(0.193208 + 0.530835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15089 0.821857i −0.813803 0.581141i
\(3\) −1.21573 + 1.02012i −0.701900 + 0.588964i −0.922314 0.386442i \(-0.873704\pi\)
0.220413 + 0.975407i \(0.429259\pi\)
\(4\) 0.649103 + 1.89174i 0.324551 + 0.945868i
\(5\) 2.19521 + 0.798993i 0.981730 + 0.357320i 0.782512 0.622635i \(-0.213938\pi\)
0.199217 + 0.979955i \(0.436160\pi\)
\(6\) 2.23756 0.174889i 0.913480 0.0713983i
\(7\) 1.56922 + 0.905989i 0.593109 + 0.342432i 0.766326 0.642452i \(-0.222083\pi\)
−0.173217 + 0.984884i \(0.555416\pi\)
\(8\) 0.807690 2.71065i 0.285561 0.958360i
\(9\) −0.0835893 + 0.474059i −0.0278631 + 0.158020i
\(10\) −1.86980 2.72371i −0.591281 0.861311i
\(11\) 1.01630 0.586764i 0.306427 0.176916i −0.338899 0.940823i \(-0.610055\pi\)
0.645327 + 0.763907i \(0.276721\pi\)
\(12\) −2.71892 1.63767i −0.784885 0.472756i
\(13\) −2.13186 + 2.54065i −0.591270 + 0.704649i −0.975850 0.218443i \(-0.929902\pi\)
0.384579 + 0.923092i \(0.374347\pi\)
\(14\) −1.06141 2.33237i −0.283673 0.623352i
\(15\) −3.48385 + 1.26802i −0.899525 + 0.327400i
\(16\) −3.15733 + 2.45586i −0.789333 + 0.613965i
\(17\) −1.18980 6.74770i −0.288569 1.63656i −0.692251 0.721657i \(-0.743381\pi\)
0.403682 0.914899i \(-0.367730\pi\)
\(18\) 0.485810 0.476892i 0.114507 0.112404i
\(19\) 2.39394 + 3.64267i 0.549207 + 0.835686i
\(20\) −0.0865640 + 4.67139i −0.0193563 + 1.04456i
\(21\) −2.83196 + 0.499350i −0.617983 + 0.108967i
\(22\) −1.65189 0.159955i −0.352184 0.0341026i
\(23\) −1.21130 3.32803i −0.252574 0.693943i −0.999576 0.0291203i \(-0.990729\pi\)
0.747001 0.664822i \(-0.231493\pi\)
\(24\) 1.78325 + 4.11935i 0.364004 + 0.840859i
\(25\) 0.350354 + 0.293982i 0.0700709 + 0.0587965i
\(26\) 4.54158 1.17193i 0.890678 0.229834i
\(27\) −2.76250 4.78479i −0.531644 0.920834i
\(28\) −0.695308 + 3.55663i −0.131401 + 0.672140i
\(29\) −0.974984 0.171916i −0.181050 0.0319240i 0.0823880 0.996600i \(-0.473745\pi\)
−0.263438 + 0.964676i \(0.584856\pi\)
\(30\) 5.05166 + 1.40387i 0.922302 + 0.256311i
\(31\) 5.07007 8.78162i 0.910611 1.57722i 0.0974082 0.995245i \(-0.468945\pi\)
0.813203 0.581980i \(-0.197722\pi\)
\(32\) 5.65211 0.231556i 0.999162 0.0409337i
\(33\) −0.636982 + 1.75009i −0.110884 + 0.304652i
\(34\) −4.17631 + 8.74371i −0.716231 + 1.49953i
\(35\) 2.72089 + 3.24263i 0.459915 + 0.548105i
\(36\) −0.951052 + 0.149584i −0.158509 + 0.0249306i
\(37\) 3.26731i 0.537143i −0.963260 0.268571i \(-0.913448\pi\)
0.963260 0.268571i \(-0.0865515\pi\)
\(38\) 0.238594 6.15979i 0.0387051 0.999251i
\(39\) 5.26347i 0.842830i
\(40\) 3.93884 5.30513i 0.622786 0.838814i
\(41\) 6.74550 + 8.03898i 1.05347 + 1.25548i 0.965789 + 0.259328i \(0.0835012\pi\)
0.0876811 + 0.996149i \(0.472054\pi\)
\(42\) 3.66967 + 1.75276i 0.566242 + 0.270457i
\(43\) −2.85313 + 7.83891i −0.435098 + 1.19542i 0.507546 + 0.861625i \(0.330553\pi\)
−0.942645 + 0.333798i \(0.891670\pi\)
\(44\) 1.76969 + 1.54171i 0.266790 + 0.232421i
\(45\) −0.562266 + 0.973873i −0.0838176 + 0.145176i
\(46\) −1.34109 + 4.82572i −0.197732 + 0.711514i
\(47\) −6.49876 1.14591i −0.947942 0.167148i −0.321757 0.946822i \(-0.604273\pi\)
−0.626185 + 0.779674i \(0.715385\pi\)
\(48\) 1.33319 6.20650i 0.192429 0.895831i
\(49\) −1.85837 3.21879i −0.265481 0.459827i
\(50\) −0.161609 0.626283i −0.0228549 0.0885698i
\(51\) 8.32990 + 6.98962i 1.16642 + 0.978743i
\(52\) −6.19003 2.38377i −0.858402 0.330569i
\(53\) −0.859106 2.36038i −0.118007 0.324223i 0.866600 0.499003i \(-0.166301\pi\)
−0.984607 + 0.174781i \(0.944078\pi\)
\(54\) −0.753075 + 7.77716i −0.102481 + 1.05834i
\(55\) 2.69983 0.476052i 0.364044 0.0641908i
\(56\) 3.72326 3.52185i 0.497542 0.470627i
\(57\) −6.62632 1.98640i −0.877678 0.263105i
\(58\) 0.980811 + 0.999154i 0.128787 + 0.131195i
\(59\) 0.0105140 + 0.0596279i 0.00136881 + 0.00776289i 0.985485 0.169765i \(-0.0543010\pi\)
−0.984116 + 0.177528i \(0.943190\pi\)
\(60\) −4.66013 5.76745i −0.601620 0.744574i
\(61\) 2.43900 0.887725i 0.312283 0.113662i −0.181124 0.983460i \(-0.557974\pi\)
0.493407 + 0.869799i \(0.335751\pi\)
\(62\) −13.0523 + 5.93982i −1.65765 + 0.754357i
\(63\) −0.560662 + 0.668171i −0.0706367 + 0.0841816i
\(64\) −6.69527 4.37873i −0.836909 0.547342i
\(65\) −6.70984 + 3.87393i −0.832253 + 0.480502i
\(66\) 2.17142 1.49066i 0.267284 0.183487i
\(67\) −0.731326 + 4.14755i −0.0893456 + 0.506704i 0.906988 + 0.421156i \(0.138375\pi\)
−0.996334 + 0.0855486i \(0.972736\pi\)
\(68\) 11.9926 6.63074i 1.45431 0.804095i
\(69\) 4.86759 + 2.81031i 0.585990 + 0.338321i
\(70\) −0.466472 5.96811i −0.0557540 0.713325i
\(71\) −14.6166 5.32002i −1.73468 0.631371i −0.735731 0.677274i \(-0.763161\pi\)
−0.998946 + 0.0459036i \(0.985383\pi\)
\(72\) 1.21749 + 0.609474i 0.143483 + 0.0718272i
\(73\) 5.56052 4.66583i 0.650810 0.546095i −0.256507 0.966542i \(-0.582572\pi\)
0.907317 + 0.420448i \(0.138127\pi\)
\(74\) −2.68526 + 3.76032i −0.312155 + 0.437128i
\(75\) −0.725831 −0.0838118
\(76\) −5.33707 + 6.89317i −0.612203 + 0.790700i
\(77\) 2.12641 0.242326
\(78\) −4.32582 + 6.05769i −0.489803 + 0.685898i
\(79\) 2.92379 2.45335i 0.328952 0.276024i −0.463320 0.886191i \(-0.653342\pi\)
0.792273 + 0.610167i \(0.208898\pi\)
\(80\) −8.89324 + 2.86846i −0.994294 + 0.320703i
\(81\) 6.88247 + 2.50501i 0.764718 + 0.278335i
\(82\) −1.15645 14.7958i −0.127709 1.63393i
\(83\) 7.29036 + 4.20909i 0.800220 + 0.462008i 0.843548 0.537053i \(-0.180463\pi\)
−0.0433278 + 0.999061i \(0.513796\pi\)
\(84\) −2.78287 5.03318i −0.303636 0.549165i
\(85\) 2.77949 15.7633i 0.301478 1.70977i
\(86\) 9.72611 6.67687i 1.04879 0.719986i
\(87\) 1.36069 0.785594i 0.145881 0.0842245i
\(88\) −0.769654 3.22877i −0.0820454 0.344188i
\(89\) −4.45745 + 5.31218i −0.472488 + 0.563090i −0.948674 0.316255i \(-0.897574\pi\)
0.476186 + 0.879345i \(0.342019\pi\)
\(90\) 1.44749 0.658720i 0.152579 0.0694352i
\(91\) −5.64715 + 2.05539i −0.591982 + 0.215464i
\(92\) 5.50950 4.45170i 0.574405 0.464122i
\(93\) 2.79445 + 15.8481i 0.289771 + 1.64337i
\(94\) 6.53760 + 6.65987i 0.674302 + 0.686913i
\(95\) 2.34474 + 9.90919i 0.240565 + 1.01666i
\(96\) −6.63521 + 6.04732i −0.677203 + 0.617202i
\(97\) 9.53373 1.68105i 0.968004 0.170685i 0.332773 0.943007i \(-0.392016\pi\)
0.635231 + 0.772322i \(0.280905\pi\)
\(98\) −0.506603 + 5.23179i −0.0511746 + 0.528490i
\(99\) 0.193208 + 0.530835i 0.0194181 + 0.0533509i
\(100\) −0.328721 + 0.853603i −0.0328721 + 0.0853603i
\(101\) −1.07323 0.900546i −0.106790 0.0896076i 0.587829 0.808985i \(-0.299983\pi\)
−0.694619 + 0.719377i \(0.744427\pi\)
\(102\) −3.84235 14.8903i −0.380449 1.47436i
\(103\) 2.55488 + 4.42519i 0.251740 + 0.436027i 0.964005 0.265884i \(-0.0856638\pi\)
−0.712265 + 0.701911i \(0.752330\pi\)
\(104\) 5.16493 + 7.83078i 0.506463 + 0.767871i
\(105\) −6.61573 1.16653i −0.645629 0.113842i
\(106\) −0.951153 + 3.42260i −0.0923841 + 0.332432i
\(107\) −0.566591 + 0.981364i −0.0547744 + 0.0948721i −0.892112 0.451813i \(-0.850777\pi\)
0.837338 + 0.546685i \(0.184111\pi\)
\(108\) 7.25842 8.33174i 0.698442 0.801722i
\(109\) 0.407072 1.11842i 0.0389904 0.107125i −0.918670 0.395027i \(-0.870735\pi\)
0.957660 + 0.287901i \(0.0929575\pi\)
\(110\) −3.49845 1.67099i −0.333564 0.159322i
\(111\) 3.33304 + 3.97216i 0.316358 + 0.377021i
\(112\) −7.17953 + 0.993277i −0.678402 + 0.0938559i
\(113\) 7.84826i 0.738302i 0.929369 + 0.369151i \(0.120352\pi\)
−0.929369 + 0.369151i \(0.879648\pi\)
\(114\) 5.99364 + 7.73202i 0.561356 + 0.724170i
\(115\) 8.27357i 0.771514i
\(116\) −0.307645 1.95600i −0.0285641 0.181610i
\(117\) −1.02622 1.22300i −0.0948736 0.113066i
\(118\) 0.0369051 0.0772662i 0.00339739 0.00711293i
\(119\) 4.24628 11.6666i 0.389256 1.06947i
\(120\) 0.623285 + 10.4677i 0.0568979 + 0.955562i
\(121\) −4.81142 + 8.33362i −0.437402 + 0.757602i
\(122\) −3.53661 0.982837i −0.320190 0.0889819i
\(123\) −16.4014 2.89200i −1.47886 0.260763i
\(124\) 19.9035 + 3.89106i 1.78739 + 0.349428i
\(125\) −5.30603 9.19032i −0.474586 0.822007i
\(126\) 1.19440 0.308208i 0.106406 0.0274574i
\(127\) 7.87179 + 6.60521i 0.698508 + 0.586118i 0.921349 0.388737i \(-0.127089\pi\)
−0.222841 + 0.974855i \(0.571533\pi\)
\(128\) 4.10684 + 10.5420i 0.362997 + 0.931790i
\(129\) −4.52797 12.4405i −0.398666 1.09532i
\(130\) 10.9061 + 1.05606i 0.956529 + 0.0926223i
\(131\) −6.12205 + 1.07948i −0.534886 + 0.0943148i −0.434565 0.900640i \(-0.643098\pi\)
−0.100320 + 0.994955i \(0.531987\pi\)
\(132\) −3.72418 0.0690115i −0.324148 0.00600668i
\(133\) 0.456389 + 7.88503i 0.0395740 + 0.683719i
\(134\) 4.25037 4.17234i 0.367176 0.360435i
\(135\) −2.24127 12.7109i −0.192898 1.09398i
\(136\) −19.2516 2.22491i −1.65082 0.190784i
\(137\) −2.75780 + 1.00376i −0.235615 + 0.0857568i −0.457129 0.889400i \(-0.651122\pi\)
0.221514 + 0.975157i \(0.428900\pi\)
\(138\) −3.29240 7.23482i −0.280268 0.615869i
\(139\) 11.9779 14.2747i 1.01595 1.21077i 0.0385770 0.999256i \(-0.487718\pi\)
0.977376 0.211510i \(-0.0678380\pi\)
\(140\) −4.36807 + 7.25201i −0.369169 + 0.612907i
\(141\) 9.06968 5.23638i 0.763805 0.440983i
\(142\) 12.4499 + 18.1356i 1.04477 + 1.52190i
\(143\) −0.675855 + 3.83297i −0.0565179 + 0.320529i
\(144\) −0.900303 1.70204i −0.0750253 0.141837i
\(145\) −2.00294 1.15640i −0.166335 0.0960336i
\(146\) −10.2342 + 0.799914i −0.846989 + 0.0662013i
\(147\) 5.54280 + 2.01742i 0.457163 + 0.166394i
\(148\) 6.18089 2.12082i 0.508066 0.174330i
\(149\) −1.24200 + 1.04216i −0.101749 + 0.0853774i −0.692243 0.721665i \(-0.743377\pi\)
0.590494 + 0.807042i \(0.298933\pi\)
\(150\) 0.835353 + 0.596529i 0.0682063 + 0.0487064i
\(151\) −8.25535 −0.671811 −0.335905 0.941896i \(-0.609042\pi\)
−0.335905 + 0.941896i \(0.609042\pi\)
\(152\) 11.8076 3.54698i 0.957721 0.287698i
\(153\) 3.29826 0.266648
\(154\) −2.44726 1.74760i −0.197206 0.140826i
\(155\) 18.1463 15.2266i 1.45755 1.22303i
\(156\) 9.95710 3.41653i 0.797206 0.273542i
\(157\) −12.1664 4.42820i −0.970983 0.353409i −0.192655 0.981267i \(-0.561710\pi\)
−0.778328 + 0.627857i \(0.783932\pi\)
\(158\) −5.38128 + 0.420605i −0.428111 + 0.0334615i
\(159\) 3.45230 + 1.99318i 0.273785 + 0.158070i
\(160\) 12.5926 + 4.00768i 0.995533 + 0.316835i
\(161\) 1.11436 6.31984i 0.0878237 0.498073i
\(162\) −5.86221 8.53940i −0.460579 0.670919i
\(163\) −17.5402 + 10.1269i −1.37386 + 0.793196i −0.991411 0.130782i \(-0.958251\pi\)
−0.382445 + 0.923978i \(0.624918\pi\)
\(164\) −10.8291 + 17.9788i −0.845610 + 1.40391i
\(165\) −2.79662 + 3.33288i −0.217717 + 0.259465i
\(166\) −4.93114 10.8358i −0.382731 0.841024i
\(167\) 0.241205 0.0877915i 0.0186650 0.00679351i −0.332671 0.943043i \(-0.607950\pi\)
0.351336 + 0.936250i \(0.385728\pi\)
\(168\) −0.933776 + 8.07977i −0.0720424 + 0.623368i
\(169\) 0.347349 + 1.96991i 0.0267192 + 0.151532i
\(170\) −16.1541 + 15.8575i −1.23896 + 1.21621i
\(171\) −1.92695 + 0.830378i −0.147357 + 0.0635006i
\(172\) −16.6811 0.309112i −1.27192 0.0235696i
\(173\) −5.11056 + 0.901129i −0.388548 + 0.0685116i −0.364510 0.931199i \(-0.618764\pi\)
−0.0240384 + 0.999711i \(0.507652\pi\)
\(174\) −2.21165 0.214158i −0.167665 0.0162353i
\(175\) 0.283438 + 0.778740i 0.0214259 + 0.0588672i
\(176\) −1.76780 + 4.34851i −0.133253 + 0.327781i
\(177\) −0.0736095 0.0617657i −0.00553283 0.00464259i
\(178\) 9.49589 2.45036i 0.711747 0.183662i
\(179\) −0.140150 0.242747i −0.0104753 0.0181437i 0.860740 0.509044i \(-0.170001\pi\)
−0.871216 + 0.490901i \(0.836668\pi\)
\(180\) −2.20728 0.431515i −0.164521 0.0321632i
\(181\) −20.5607 3.62540i −1.52826 0.269474i −0.654589 0.755985i \(-0.727158\pi\)
−0.873675 + 0.486511i \(0.838269\pi\)
\(182\) 8.18849 + 2.27561i 0.606971 + 0.168680i
\(183\) −2.05958 + 3.56730i −0.152249 + 0.263702i
\(184\) −9.99950 + 0.595409i −0.737173 + 0.0438941i
\(185\) 2.61056 7.17245i 0.191932 0.527329i
\(186\) 9.80877 20.5361i 0.719214 1.50578i
\(187\) −5.16850 6.15958i −0.377958 0.450433i
\(188\) −2.05061 13.0378i −0.149556 0.950876i
\(189\) 10.0112i 0.728206i
\(190\) 5.44540 13.3314i 0.395051 0.967164i
\(191\) 15.2578i 1.10401i 0.833840 + 0.552006i \(0.186138\pi\)
−0.833840 + 0.552006i \(0.813862\pi\)
\(192\) 12.6064 1.50661i 0.909791 0.108731i
\(193\) 2.65609 + 3.16541i 0.191190 + 0.227851i 0.853120 0.521714i \(-0.174707\pi\)
−0.661931 + 0.749565i \(0.730263\pi\)
\(194\) −12.3539 5.90065i −0.886957 0.423642i
\(195\) 4.20548 11.5545i 0.301160 0.827431i
\(196\) 4.88283 5.60487i 0.348773 0.400348i
\(197\) −10.4337 + 18.0717i −0.743372 + 1.28756i 0.207579 + 0.978218i \(0.433441\pi\)
−0.950951 + 0.309340i \(0.899892\pi\)
\(198\) 0.213909 0.769723i 0.0152018 0.0547018i
\(199\) 4.23509 + 0.746761i 0.300218 + 0.0529365i 0.321728 0.946832i \(-0.395736\pi\)
−0.0215103 + 0.999769i \(0.506847\pi\)
\(200\) 1.07986 0.712243i 0.0763577 0.0503632i
\(201\) −3.34189 5.78833i −0.235719 0.408277i
\(202\) 0.495050 + 1.91847i 0.0348316 + 0.134983i
\(203\) −1.37421 1.15310i −0.0964506 0.0809317i
\(204\) −7.81555 + 20.2950i −0.547198 + 1.42093i
\(205\) 8.38474 + 23.0369i 0.585616 + 1.60897i
\(206\) 0.696478 7.19266i 0.0485259 0.501137i
\(207\) 1.67893 0.296041i 0.116694 0.0205763i
\(208\) 0.491498 13.2572i 0.0340793 0.919222i
\(209\) 4.57036 + 2.29739i 0.316138 + 0.158914i
\(210\) 6.65526 + 6.77973i 0.459257 + 0.467846i
\(211\) 2.59449 + 14.7141i 0.178612 + 1.01296i 0.933891 + 0.357557i \(0.116390\pi\)
−0.755279 + 0.655403i \(0.772499\pi\)
\(212\) 3.90756 3.15733i 0.268372 0.216846i
\(213\) 23.1969 8.44298i 1.58942 0.578503i
\(214\) 1.45863 0.663787i 0.0997096 0.0453756i
\(215\) −12.5265 + 14.9285i −0.854298 + 1.01811i
\(216\) −15.2012 + 3.62355i −1.03431 + 0.246552i
\(217\) 15.9121 9.18685i 1.08018 0.623644i
\(218\) −1.38768 + 0.952627i −0.0939854 + 0.0645200i
\(219\) −2.00039 + 11.3448i −0.135174 + 0.766608i
\(220\) 2.65303 + 4.79835i 0.178867 + 0.323505i
\(221\) 19.6800 + 11.3623i 1.32382 + 0.764308i
\(222\) −0.571418 7.31080i −0.0383511 0.490669i
\(223\) 15.6616 + 5.70034i 1.04878 + 0.381723i 0.808200 0.588907i \(-0.200442\pi\)
0.240575 + 0.970631i \(0.422664\pi\)
\(224\) 9.07919 + 4.75739i 0.606629 + 0.317866i
\(225\) −0.168651 + 0.141515i −0.0112434 + 0.00943432i
\(226\) 6.45015 9.03250i 0.429057 0.600833i
\(227\) 7.67504 0.509410 0.254705 0.967019i \(-0.418022\pi\)
0.254705 + 0.967019i \(0.418022\pi\)
\(228\) −0.543414 13.8246i −0.0359885 0.915559i
\(229\) 15.6098 1.03153 0.515763 0.856732i \(-0.327509\pi\)
0.515763 + 0.856732i \(0.327509\pi\)
\(230\) −6.79969 + 9.52198i −0.448358 + 0.627861i
\(231\) −2.58513 + 2.16918i −0.170089 + 0.142722i
\(232\) −1.25349 + 2.50399i −0.0822956 + 0.164395i
\(233\) 17.7513 + 6.46096i 1.16293 + 0.423272i 0.850143 0.526552i \(-0.176515\pi\)
0.312786 + 0.949824i \(0.398738\pi\)
\(234\) 0.175935 + 2.25094i 0.0115012 + 0.147148i
\(235\) −13.3506 7.70798i −0.870898 0.502813i
\(236\) −0.105976 + 0.0585943i −0.00689842 + 0.00381417i
\(237\) −1.05183 + 5.96522i −0.0683236 + 0.387482i
\(238\) −14.4752 + 9.93711i −0.938291 + 0.644127i
\(239\) 2.32121 1.34015i 0.150146 0.0866870i −0.423045 0.906109i \(-0.639039\pi\)
0.573191 + 0.819422i \(0.305705\pi\)
\(240\) 7.88558 12.5594i 0.509012 0.810705i
\(241\) −4.69158 + 5.59121i −0.302211 + 0.360161i −0.895683 0.444694i \(-0.853313\pi\)
0.593471 + 0.804855i \(0.297757\pi\)
\(242\) 12.3865 5.63680i 0.796232 0.362347i
\(243\) 4.65281 1.69348i 0.298478 0.108637i
\(244\) 3.26251 + 4.03773i 0.208861 + 0.258489i
\(245\) −1.50773 8.55075i −0.0963252 0.546287i
\(246\) 16.4994 + 16.8080i 1.05196 + 1.07164i
\(247\) −14.3583 1.68351i −0.913595 0.107119i
\(248\) −19.7089 20.8360i −1.25151 1.32309i
\(249\) −13.1568 + 2.31991i −0.833781 + 0.147018i
\(250\) −1.44646 + 14.9379i −0.0914820 + 0.944753i
\(251\) −3.91516 10.7568i −0.247122 0.678963i −0.999789 0.0205610i \(-0.993455\pi\)
0.752666 0.658402i \(-0.228767\pi\)
\(252\) −1.62793 0.626913i −0.102550 0.0394918i
\(253\) −3.18382 2.67154i −0.200165 0.167959i
\(254\) −3.63103 14.0714i −0.227831 0.882916i
\(255\) 12.7013 + 21.9992i 0.795384 + 1.37765i
\(256\) 3.93749 15.5079i 0.246093 0.969246i
\(257\) 8.44341 + 1.48880i 0.526685 + 0.0928688i 0.430667 0.902511i \(-0.358278\pi\)
0.0960181 + 0.995380i \(0.469389\pi\)
\(258\) −5.01311 + 18.0390i −0.312102 + 1.12306i
\(259\) 2.96015 5.12713i 0.183935 0.318584i
\(260\) −11.6838 10.1787i −0.724600 0.631254i
\(261\) 0.162996 0.447829i 0.0100892 0.0277199i
\(262\) 7.93299 + 3.78908i 0.490102 + 0.234090i
\(263\) −19.3940 23.1129i −1.19589 1.42520i −0.879053 0.476723i \(-0.841824\pi\)
−0.316835 0.948481i \(-0.602620\pi\)
\(264\) 4.22941 + 3.14017i 0.260302 + 0.193264i
\(265\) 5.86795i 0.360465i
\(266\) 5.95511 9.44990i 0.365131 0.579411i
\(267\) 11.0053i 0.673511i
\(268\) −8.32078 + 1.30871i −0.508273 + 0.0799424i
\(269\) −11.2344 13.3887i −0.684974 0.816321i 0.305764 0.952107i \(-0.401088\pi\)
−0.990738 + 0.135787i \(0.956644\pi\)
\(270\) −7.86705 + 16.4708i −0.478774 + 1.00238i
\(271\) 3.44483 9.46458i 0.209258 0.574932i −0.790014 0.613089i \(-0.789927\pi\)
0.999272 + 0.0381571i \(0.0121487\pi\)
\(272\) 20.3280 + 18.3827i 1.23257 + 1.11462i
\(273\) 4.76865 8.25954i 0.288612 0.499890i
\(274\) 3.99887 + 1.11130i 0.241581 + 0.0671362i
\(275\) 0.528565 + 0.0932002i 0.0318737 + 0.00562019i
\(276\) −2.15679 + 11.0324i −0.129824 + 0.664071i
\(277\) 8.52155 + 14.7598i 0.512010 + 0.886828i 0.999903 + 0.0139240i \(0.00443230\pi\)
−0.487893 + 0.872903i \(0.662234\pi\)
\(278\) −25.5170 + 6.58452i −1.53041 + 0.394913i
\(279\) 3.73920 + 3.13756i 0.223860 + 0.187841i
\(280\) 10.9873 4.75635i 0.656616 0.284247i
\(281\) −7.37539 20.2637i −0.439979 1.20883i −0.939506 0.342533i \(-0.888715\pi\)
0.499527 0.866298i \(-0.333507\pi\)
\(282\) −14.7418 1.42747i −0.877860 0.0850047i
\(283\) −7.93108 + 1.39846i −0.471454 + 0.0831300i −0.404327 0.914614i \(-0.632494\pi\)
−0.0671267 + 0.997744i \(0.521383\pi\)
\(284\) 0.576379 31.1041i 0.0342018 1.84569i
\(285\) −12.9591 9.65496i −0.767629 0.571911i
\(286\) 3.92799 3.85587i 0.232267 0.228002i
\(287\) 3.30195 + 18.7263i 0.194908 + 1.10538i
\(288\) −0.362685 + 2.69879i −0.0213714 + 0.159028i
\(289\) −28.1410 + 10.2425i −1.65535 + 0.602499i
\(290\) 1.35477 + 2.97702i 0.0795550 + 0.174816i
\(291\) −9.87555 + 11.7692i −0.578915 + 0.689924i
\(292\) 12.4359 + 7.49044i 0.727755 + 0.438345i
\(293\) −18.5727 + 10.7229i −1.08503 + 0.626441i −0.932248 0.361820i \(-0.882156\pi\)
−0.152779 + 0.988260i \(0.548822\pi\)
\(294\) −4.72114 6.87722i −0.275342 0.401088i
\(295\) −0.0245617 + 0.139297i −0.00143004 + 0.00811016i
\(296\) −8.85655 2.63897i −0.514776 0.153387i
\(297\) −5.61508 3.24187i −0.325820 0.188112i
\(298\) 2.28592 0.178669i 0.132420 0.0103500i
\(299\) 11.0377 + 4.01739i 0.638326 + 0.232332i
\(300\) −0.471139 1.37308i −0.0272012 0.0792749i
\(301\) −11.5792 + 9.71606i −0.667411 + 0.560025i
\(302\) 9.50101 + 6.78472i 0.546722 + 0.390417i
\(303\) 2.22341 0.127732
\(304\) −16.5044 5.62195i −0.946590 0.322441i
\(305\) 6.06342 0.347191
\(306\) −3.79594 2.71070i −0.216999 0.154960i
\(307\) 6.36105 5.33755i 0.363044 0.304630i −0.442958 0.896542i \(-0.646071\pi\)
0.806003 + 0.591912i \(0.201627\pi\)
\(308\) 1.38026 + 4.02260i 0.0786473 + 0.229209i
\(309\) −7.62025 2.77354i −0.433501 0.157781i
\(310\) −33.3985 + 2.61046i −1.89691 + 0.148264i
\(311\) 17.7153 + 10.2279i 1.00454 + 0.579972i 0.909589 0.415510i \(-0.136397\pi\)
0.0949523 + 0.995482i \(0.469730\pi\)
\(312\) −14.2674 4.25125i −0.807735 0.240680i
\(313\) −1.09670 + 6.21967i −0.0619889 + 0.351557i 0.937999 + 0.346638i \(0.112677\pi\)
−0.999988 + 0.00491871i \(0.998434\pi\)
\(314\) 10.3628 + 15.0954i 0.584809 + 0.851883i
\(315\) −1.76464 + 1.01881i −0.0994260 + 0.0574036i
\(316\) 6.53894 + 3.93857i 0.367844 + 0.221562i
\(317\) 11.1327 13.2675i 0.625277 0.745176i −0.356692 0.934222i \(-0.616095\pi\)
0.981968 + 0.189047i \(0.0605397\pi\)
\(318\) −2.33511 5.13123i −0.130946 0.287745i
\(319\) −1.09175 + 0.397366i −0.0611265 + 0.0222482i
\(320\) −11.1990 14.9617i −0.626042 0.836386i
\(321\) −0.312286 1.77106i −0.0174301 0.0988509i
\(322\) −6.47651 + 6.35761i −0.360922 + 0.354296i
\(323\) 21.7313 20.4876i 1.20916 1.13996i
\(324\) −0.271397 + 14.6458i −0.0150776 + 0.813657i
\(325\) −1.49381 + 0.263399i −0.0828617 + 0.0146108i
\(326\) 28.5097 + 2.76064i 1.57901 + 0.152898i
\(327\) 0.646031 + 1.77496i 0.0357256 + 0.0981553i
\(328\) 27.2391 11.7917i 1.50403 0.651088i
\(329\) −9.15980 7.68599i −0.504996 0.423742i
\(330\) 5.95776 1.53737i 0.327964 0.0846292i
\(331\) −13.0657 22.6305i −0.718156 1.24388i −0.961729 0.274001i \(-0.911653\pi\)
0.243573 0.969883i \(-0.421680\pi\)
\(332\) −3.23030 + 16.5236i −0.177286 + 0.906848i
\(333\) 1.54890 + 0.273112i 0.0848790 + 0.0149665i
\(334\) −0.349753 0.0971977i −0.0191376 0.00531842i
\(335\) −4.91928 + 8.52044i −0.268769 + 0.465522i
\(336\) 7.71509 8.53151i 0.420893 0.465432i
\(337\) −6.88630 + 18.9199i −0.375120 + 1.03063i 0.598233 + 0.801323i \(0.295870\pi\)
−0.973353 + 0.229312i \(0.926352\pi\)
\(338\) 1.21923 2.55263i 0.0663172 0.138845i
\(339\) −8.00614 9.54134i −0.434834 0.518215i
\(340\) 31.6241 4.97392i 1.71506 0.269749i
\(341\) 11.8997i 0.644406i
\(342\) 2.90016 + 0.628001i 0.156823 + 0.0339584i
\(343\) 19.4185i 1.04850i
\(344\) 18.9441 + 14.0653i 1.02140 + 0.758348i
\(345\) 8.44000 + 10.0584i 0.454394 + 0.541526i
\(346\) 6.62230 + 3.16304i 0.356017 + 0.170046i
\(347\) −2.24633 + 6.17173i −0.120589 + 0.331316i −0.985270 0.171006i \(-0.945298\pi\)
0.864681 + 0.502321i \(0.167521\pi\)
\(348\) 2.36936 + 2.06413i 0.127011 + 0.110649i
\(349\) 16.1218 27.9239i 0.862983 1.49473i −0.00605389 0.999982i \(-0.501927\pi\)
0.869036 0.494748i \(-0.164740\pi\)
\(350\) 0.313806 1.12919i 0.0167736 0.0603578i
\(351\) 18.0457 + 3.18195i 0.963209 + 0.169840i
\(352\) 5.60840 3.55179i 0.298929 0.189311i
\(353\) 2.45216 + 4.24727i 0.130516 + 0.226060i 0.923875 0.382693i \(-0.125003\pi\)
−0.793360 + 0.608753i \(0.791670\pi\)
\(354\) 0.0339540 + 0.131582i 0.00180463 + 0.00699351i
\(355\) −27.8360 23.3572i −1.47738 1.23967i
\(356\) −12.9426 4.98416i −0.685955 0.264160i
\(357\) 6.73893 + 18.5150i 0.356662 + 0.979920i
\(358\) −0.0382057 + 0.394558i −0.00201924 + 0.0208531i
\(359\) 17.8834 3.15333i 0.943852 0.166427i 0.319514 0.947581i \(-0.396480\pi\)
0.624337 + 0.781155i \(0.285369\pi\)
\(360\) 2.18569 + 2.31069i 0.115196 + 0.121784i
\(361\) −7.53813 + 17.4407i −0.396744 + 0.917929i
\(362\) 20.6836 + 21.0704i 1.08710 + 1.10743i
\(363\) −2.65189 15.0396i −0.139188 0.789375i
\(364\) −7.55384 9.34875i −0.395929 0.490008i
\(365\) 15.9345 5.79969i 0.834050 0.303569i
\(366\) 5.30216 2.41289i 0.277149 0.126124i
\(367\) −5.82470 + 6.94161i −0.304047 + 0.362349i −0.896335 0.443377i \(-0.853780\pi\)
0.592288 + 0.805726i \(0.298225\pi\)
\(368\) 11.9977 + 7.53290i 0.625422 + 0.392680i
\(369\) −4.37480 + 2.52579i −0.227743 + 0.131487i
\(370\) −8.89920 + 6.10921i −0.462647 + 0.317603i
\(371\) 0.790348 4.48229i 0.0410328 0.232709i
\(372\) −28.1665 + 15.5734i −1.46037 + 0.807443i
\(373\) −11.9329 6.88948i −0.617864 0.356724i 0.158173 0.987411i \(-0.449440\pi\)
−0.776037 + 0.630688i \(0.782773\pi\)
\(374\) 0.886091 + 11.3368i 0.0458187 + 0.586211i
\(375\) 15.8259 + 5.76015i 0.817245 + 0.297453i
\(376\) −8.35514 + 16.6904i −0.430884 + 0.860739i
\(377\) 2.51530 2.11059i 0.129545 0.108701i
\(378\) −8.22776 + 11.5218i −0.423190 + 0.592617i
\(379\) −1.11238 −0.0571390 −0.0285695 0.999592i \(-0.509095\pi\)
−0.0285695 + 0.999592i \(0.509095\pi\)
\(380\) −17.2236 + 10.8677i −0.883552 + 0.557501i
\(381\) −16.3080 −0.835485
\(382\) 12.5397 17.5600i 0.641586 0.898449i
\(383\) −17.7814 + 14.9204i −0.908586 + 0.762394i −0.971850 0.235602i \(-0.924294\pi\)
0.0632632 + 0.997997i \(0.479849\pi\)
\(384\) −15.7469 8.62674i −0.803579 0.440231i
\(385\) 4.66791 + 1.69898i 0.237899 + 0.0865881i
\(386\) −0.455362 5.82596i −0.0231773 0.296534i
\(387\) −3.47761 2.00780i −0.176777 0.102062i
\(388\) 9.36848 + 16.9441i 0.475613 + 0.860208i
\(389\) 1.22008 6.91939i 0.0618603 0.350827i −0.938129 0.346285i \(-0.887443\pi\)
0.999990 0.00454218i \(-0.00144583\pi\)
\(390\) −14.3362 + 9.84162i −0.725939 + 0.498350i
\(391\) −21.0153 + 12.1332i −1.06279 + 0.613603i
\(392\) −10.2260 + 2.43761i −0.516491 + 0.123118i
\(393\) 6.34154 7.55755i 0.319888 0.381228i
\(394\) 26.8605 12.2236i 1.35321 0.615815i
\(395\) 8.37857 3.04955i 0.421571 0.153439i
\(396\) −0.878788 + 0.710065i −0.0441607 + 0.0356821i
\(397\) −2.10220 11.9222i −0.105507 0.598357i −0.991017 0.133737i \(-0.957302\pi\)
0.885510 0.464620i \(-0.153809\pi\)
\(398\) −4.26040 4.34008i −0.213554 0.217548i
\(399\) −8.59849 9.12047i −0.430463 0.456595i
\(400\) −1.82817 0.0677775i −0.0914083 0.00338887i
\(401\) 20.0520 3.53571i 1.00135 0.176565i 0.351143 0.936322i \(-0.385793\pi\)
0.650207 + 0.759757i \(0.274682\pi\)
\(402\) −0.911021 + 9.40830i −0.0454376 + 0.469243i
\(403\) 11.5023 + 31.6024i 0.572972 + 1.57423i
\(404\) 1.00696 2.61481i 0.0500981 0.130092i
\(405\) 13.1070 + 10.9981i 0.651292 + 0.546499i
\(406\) 0.633884 + 2.45649i 0.0314591 + 0.121914i
\(407\) −1.91714 3.32058i −0.0950291 0.164595i
\(408\) 25.6744 16.9340i 1.27107 0.838360i
\(409\) 14.9773 + 2.64089i 0.740578 + 0.130584i 0.531195 0.847250i \(-0.321743\pi\)
0.209383 + 0.977834i \(0.432854\pi\)
\(410\) 9.28309 33.4040i 0.458459 1.64971i
\(411\) 2.32878 4.03357i 0.114870 0.198961i
\(412\) −6.71291 + 7.70557i −0.330721 + 0.379626i
\(413\) −0.0375234 + 0.103095i −0.00184641 + 0.00507296i
\(414\) −2.17557 1.03913i −0.106924 0.0510706i
\(415\) 12.6409 + 15.0648i 0.620515 + 0.739502i
\(416\) −11.4612 + 14.8537i −0.561931 + 0.728261i
\(417\) 29.5730i 1.44820i
\(418\) −3.37186 6.40022i −0.164923 0.313045i
\(419\) 35.8245i 1.75014i 0.483993 + 0.875072i \(0.339186\pi\)
−0.483993 + 0.875072i \(0.660814\pi\)
\(420\) −2.08752 13.2724i −0.101860 0.647627i
\(421\) 14.5620 + 17.3544i 0.709711 + 0.845800i 0.993588 0.113060i \(-0.0360653\pi\)
−0.283877 + 0.958861i \(0.591621\pi\)
\(422\) 9.10691 19.0666i 0.443317 0.928149i
\(423\) 1.08645 2.98501i 0.0528252 0.145136i
\(424\) −7.09205 + 0.422288i −0.344420 + 0.0205081i
\(425\) 1.56685 2.71387i 0.0760034 0.131642i
\(426\) −33.6360 9.34757i −1.62967 0.452891i
\(427\) 4.63160 + 0.816676i 0.224139 + 0.0395217i
\(428\) −2.22426 0.434835i −0.107514 0.0210185i
\(429\) −3.08841 5.34929i −0.149110 0.258266i
\(430\) 26.6857 6.88608i 1.28690 0.332076i
\(431\) −8.59711 7.21383i −0.414108 0.347478i 0.411808 0.911270i \(-0.364897\pi\)
−0.825916 + 0.563793i \(0.809342\pi\)
\(432\) 20.4729 + 8.32285i 0.985004 + 0.400434i
\(433\) −6.89325 18.9391i −0.331269 0.910153i −0.987782 0.155839i \(-0.950192\pi\)
0.656514 0.754314i \(-0.272030\pi\)
\(434\) −25.8634 2.50439i −1.24148 0.120215i
\(435\) 3.61469 0.637367i 0.173311 0.0305594i
\(436\) 2.37999 + 0.0441028i 0.113981 + 0.00211214i
\(437\) 9.22315 12.3795i 0.441203 0.592191i
\(438\) 11.6260 11.4126i 0.555512 0.545313i
\(439\) −0.0844362 0.478862i −0.00402992 0.0228548i 0.982726 0.185064i \(-0.0592492\pi\)
−0.986756 + 0.162209i \(0.948138\pi\)
\(440\) 0.890209 7.70279i 0.0424391 0.367216i
\(441\) 1.68123 0.611919i 0.0800587 0.0291390i
\(442\) −13.3114 29.2509i −0.633159 1.39132i
\(443\) 2.97644 3.54718i 0.141415 0.168531i −0.690688 0.723153i \(-0.742692\pi\)
0.832103 + 0.554621i \(0.187137\pi\)
\(444\) −5.35079 + 8.88357i −0.253937 + 0.421595i
\(445\) −14.0294 + 8.09990i −0.665059 + 0.383972i
\(446\) −13.3399 19.4320i −0.631662 0.920134i
\(447\) 0.446808 2.53397i 0.0211333 0.119853i
\(448\) −6.53927 12.9370i −0.308951 0.611217i
\(449\) −18.4815 10.6703i −0.872196 0.503562i −0.00411831 0.999992i \(-0.501311\pi\)
−0.868077 + 0.496429i \(0.834644\pi\)
\(450\) 0.310404 0.0242614i 0.0146326 0.00114369i
\(451\) 11.5725 + 4.21203i 0.544926 + 0.198337i
\(452\) −14.8468 + 5.09433i −0.698337 + 0.239617i
\(453\) 10.0363 8.42141i 0.471544 0.395673i
\(454\) −8.83314 6.30778i −0.414560 0.296039i
\(455\) −14.0389 −0.658156
\(456\) −10.7365 + 16.3573i −0.502781 + 0.765999i
\(457\) −15.4983 −0.724981 −0.362490 0.931987i \(-0.618073\pi\)
−0.362490 + 0.931987i \(0.618073\pi\)
\(458\) −17.9652 12.8290i −0.839458 0.599461i
\(459\) −28.9995 + 24.3335i −1.35358 + 1.13579i
\(460\) 15.6514 5.37039i 0.729751 0.250396i
\(461\) −12.0438 4.38359i −0.560937 0.204164i 0.0459625 0.998943i \(-0.485365\pi\)
−0.606899 + 0.794779i \(0.707587\pi\)
\(462\) 4.75796 0.371886i 0.221360 0.0173017i
\(463\) −1.66871 0.963428i −0.0775513 0.0447743i 0.460723 0.887544i \(-0.347590\pi\)
−0.538274 + 0.842770i \(0.680924\pi\)
\(464\) 3.50055 1.85163i 0.162509 0.0859598i
\(465\) −6.52811 + 37.0227i −0.302734 + 1.71689i
\(466\) −15.1199 22.0249i −0.700415 1.02029i
\(467\) 13.5965 7.84993i 0.629170 0.363251i −0.151261 0.988494i \(-0.548333\pi\)
0.780430 + 0.625243i \(0.215000\pi\)
\(468\) 1.64747 2.73518i 0.0761541 0.126434i
\(469\) −4.90525 + 5.84585i −0.226503 + 0.269936i
\(470\) 9.03025 + 19.8433i 0.416534 + 0.915305i
\(471\) 19.3083 7.02764i 0.889679 0.323817i
\(472\) 0.170122 + 0.0196610i 0.00783052 + 0.000904971i
\(473\) 1.69994 + 9.64083i 0.0781633 + 0.443286i
\(474\) 6.11310 6.00087i 0.280784 0.275629i
\(475\) −0.232155 + 1.98000i −0.0106520 + 0.0908487i
\(476\) 24.8263 + 0.460048i 1.13791 + 0.0210863i
\(477\) 1.19077 0.209965i 0.0545215 0.00961362i
\(478\) −3.77287 0.365333i −0.172567 0.0167099i
\(479\) −11.6279 31.9475i −0.531294 1.45972i −0.857531 0.514432i \(-0.828003\pi\)
0.326237 0.945288i \(-0.394219\pi\)
\(480\) −19.3975 + 7.97368i −0.885370 + 0.363947i
\(481\) 8.30109 + 6.96544i 0.378497 + 0.317597i
\(482\) 9.99467 2.57907i 0.455245 0.117473i
\(483\) 5.09221 + 8.81997i 0.231704 + 0.401323i
\(484\) −18.8881 3.69256i −0.858551 0.167844i
\(485\) 22.2717 + 3.92711i 1.01131 + 0.178321i
\(486\) −6.74668 1.87493i −0.306036 0.0850484i
\(487\) −5.27931 + 9.14404i −0.239229 + 0.414356i −0.960493 0.278304i \(-0.910228\pi\)
0.721265 + 0.692660i \(0.243561\pi\)
\(488\) −0.436356 7.32830i −0.0197529 0.331737i
\(489\) 10.9936 30.2045i 0.497146 1.36590i
\(490\) −5.29226 + 11.0801i −0.239080 + 0.500549i
\(491\) 5.07112 + 6.04353i 0.228857 + 0.272741i 0.868237 0.496150i \(-0.165253\pi\)
−0.639380 + 0.768891i \(0.720809\pi\)
\(492\) −5.17526 32.9043i −0.233319 1.48344i
\(493\) 6.78344i 0.305511i
\(494\) 15.1412 + 13.7380i 0.681236 + 0.618101i
\(495\) 1.31967i 0.0593147i
\(496\) 5.55855 + 40.1779i 0.249586 + 1.80404i
\(497\) −18.1168 21.5908i −0.812651 0.968480i
\(498\) 17.0487 + 8.14308i 0.763972 + 0.364900i
\(499\) −8.79309 + 24.1588i −0.393633 + 1.08150i 0.571697 + 0.820465i \(0.306285\pi\)
−0.965330 + 0.261032i \(0.915937\pi\)
\(500\) 13.9415 16.0031i 0.623483 0.715679i
\(501\) −0.203682 + 0.352788i −0.00909985 + 0.0157614i
\(502\) −4.33463 + 15.5976i −0.193464 + 0.696155i
\(503\) 14.7564 + 2.60194i 0.657954 + 0.116015i 0.492650 0.870228i \(-0.336028\pi\)
0.165304 + 0.986243i \(0.447139\pi\)
\(504\) 1.35834 + 2.05943i 0.0605052 + 0.0917345i
\(505\) −1.63644 2.83439i −0.0728205 0.126129i
\(506\) 1.46861 + 5.69130i 0.0652876 + 0.253009i
\(507\) −2.43182 2.04054i −0.108001 0.0906236i
\(508\) −7.38572 + 19.1788i −0.327688 + 0.850922i
\(509\) 10.0710 + 27.6698i 0.446388 + 1.22644i 0.935221 + 0.354063i \(0.115200\pi\)
−0.488834 + 0.872377i \(0.662578\pi\)
\(510\) 3.46245 35.7574i 0.153320 1.58336i
\(511\) 12.9529 2.28394i 0.573001 0.101036i
\(512\) −17.2769 + 14.6119i −0.763539 + 0.645761i
\(513\) 10.8162 21.5174i 0.477546 0.950015i
\(514\) −8.49387 8.65272i −0.374648 0.381655i
\(515\) 2.07282 + 11.7556i 0.0913396 + 0.518012i
\(516\) 20.5950 16.6409i 0.906645 0.732574i
\(517\) −7.27710 + 2.64865i −0.320046 + 0.116487i
\(518\) −7.62057 + 3.46795i −0.334829 + 0.152373i
\(519\) 5.29378 6.30889i 0.232371 0.276929i
\(520\) 5.08140 + 21.3170i 0.222834 + 0.934811i
\(521\) 6.06882 3.50384i 0.265880 0.153506i −0.361134 0.932514i \(-0.617610\pi\)
0.627014 + 0.779008i \(0.284277\pi\)
\(522\) −0.555643 + 0.381443i −0.0243198 + 0.0166953i
\(523\) 0.792369 4.49375i 0.0346479 0.196498i −0.962571 0.271031i \(-0.912635\pi\)
0.997219 + 0.0745329i \(0.0237466\pi\)
\(524\) −6.01593 10.8806i −0.262807 0.475321i
\(525\) −1.13899 0.657595i −0.0497095 0.0286998i
\(526\) 3.32493 + 42.5396i 0.144974 + 1.85481i
\(527\) −65.2880 23.7629i −2.84399 1.03513i
\(528\) −2.28682 7.08996i −0.0995212 0.308551i
\(529\) 8.01048 6.72159i 0.348282 0.292243i
\(530\) −4.82262 + 6.75337i −0.209481 + 0.293348i
\(531\) −0.0291460 −0.00126483
\(532\) −14.6202 + 5.98156i −0.633864 + 0.259334i
\(533\) −34.8046 −1.50756
\(534\) −9.04476 + 12.6659i −0.391405 + 0.548106i
\(535\) −2.02789 + 1.70160i −0.0876734 + 0.0735667i
\(536\) 10.6519 + 5.33231i 0.460092 + 0.230321i
\(537\) 0.418014 + 0.152145i 0.0180386 + 0.00656552i
\(538\) 1.92604 + 24.6420i 0.0830373 + 1.06239i
\(539\) −3.77733 2.18085i −0.162701 0.0939356i
\(540\) 22.5908 12.4905i 0.972153 0.537507i
\(541\) 4.56181 25.8713i 0.196127 1.11229i −0.714677 0.699455i \(-0.753426\pi\)
0.910804 0.412839i \(-0.135463\pi\)
\(542\) −11.7432 + 8.06155i −0.504411 + 0.346273i
\(543\) 28.6945 16.5668i 1.23140 0.710949i
\(544\) −8.28736 37.8632i −0.355318 1.62337i
\(545\) 1.78722 2.12993i 0.0765561 0.0912361i
\(546\) −12.2764 + 5.58669i −0.525380 + 0.239088i
\(547\) 15.4174 5.61149i 0.659202 0.239930i 0.00931034 0.999957i \(-0.497036\pi\)
0.649892 + 0.760027i \(0.274814\pi\)
\(548\) −3.68894 4.56549i −0.157584 0.195028i
\(549\) 0.216959 + 1.23044i 0.00925958 + 0.0525137i
\(550\) −0.531724 0.541668i −0.0226728 0.0230968i
\(551\) −1.70782 3.96310i −0.0727554 0.168834i
\(552\) 11.5493 10.9245i 0.491570 0.464978i
\(553\) 6.81078 1.20092i 0.289624 0.0510685i
\(554\) 2.32303 23.9904i 0.0986960 1.01925i
\(555\) 4.14300 + 11.3828i 0.175861 + 0.483173i
\(556\) 34.7789 + 13.3933i 1.47495 + 0.568002i
\(557\) 19.0248 + 15.9637i 0.806105 + 0.676402i 0.949675 0.313238i \(-0.101414\pi\)
−0.143570 + 0.989640i \(0.545858\pi\)
\(558\) −1.72479 6.68407i −0.0730160 0.282959i
\(559\) −13.8334 23.9602i −0.585092 1.01341i
\(560\) −16.5542 3.55593i −0.699544 0.150266i
\(561\) 12.5670 + 2.21590i 0.530578 + 0.0935552i
\(562\) −8.16560 + 29.3828i −0.344445 + 1.23944i
\(563\) −13.0593 + 22.6195i −0.550386 + 0.953296i 0.447861 + 0.894103i \(0.352186\pi\)
−0.998247 + 0.0591929i \(0.981147\pi\)
\(564\) 15.7930 + 13.7585i 0.665006 + 0.579337i
\(565\) −6.27070 + 17.2286i −0.263810 + 0.724813i
\(566\) 10.2772 + 4.90873i 0.431981 + 0.206329i
\(567\) 8.53058 + 10.1664i 0.358251 + 0.426947i
\(568\) −26.2264 + 35.3237i −1.10044 + 1.48215i
\(569\) 19.9949i 0.838228i 0.907934 + 0.419114i \(0.137659\pi\)
−0.907934 + 0.419114i \(0.862341\pi\)
\(570\) 6.97950 + 21.7623i 0.292339 + 0.911523i
\(571\) 2.58227i 0.108065i 0.998539 + 0.0540323i \(0.0172074\pi\)
−0.998539 + 0.0540323i \(0.982793\pi\)
\(572\) −7.68966 + 1.20945i −0.321521 + 0.0505696i
\(573\) −15.5647 18.5493i −0.650224 0.774907i
\(574\) 11.5901 24.2656i 0.483763 1.01283i
\(575\) 0.553997 1.52209i 0.0231033 0.0634757i
\(576\) 2.63543 2.80794i 0.109810 0.116997i
\(577\) 3.12895 5.41949i 0.130260 0.225617i −0.793517 0.608548i \(-0.791752\pi\)
0.923777 + 0.382932i \(0.125086\pi\)
\(578\) 40.8051 + 11.3399i 1.69727 + 0.471677i
\(579\) −6.45816 1.13875i −0.268392 0.0473248i
\(580\) 0.887486 4.53965i 0.0368508 0.188499i
\(581\) 7.62678 + 13.2100i 0.316412 + 0.548042i
\(582\) 21.0383 5.42881i 0.872065 0.225031i
\(583\) −2.25810 1.89477i −0.0935208 0.0784732i
\(584\) −8.15628 18.8412i −0.337509 0.779654i
\(585\) −1.27560 3.50468i −0.0527395 0.144900i
\(586\) 30.1878 + 2.92314i 1.24705 + 0.120754i
\(587\) 14.1534 2.49562i 0.584172 0.103005i 0.126251 0.991998i \(-0.459705\pi\)
0.457921 + 0.888993i \(0.348594\pi\)
\(588\) −0.218570 + 11.7950i −0.00901366 + 0.486419i
\(589\) 44.1260 2.55403i 1.81818 0.105237i
\(590\) 0.142750 0.140129i 0.00587691 0.00576902i
\(591\) −5.75071 32.6139i −0.236553 1.34156i
\(592\) 8.02407 + 10.3160i 0.329787 + 0.423984i
\(593\) −27.0613 + 9.84951i −1.11127 + 0.404471i −0.831461 0.555583i \(-0.812495\pi\)
−0.279814 + 0.960054i \(0.590273\pi\)
\(594\) 3.79800 + 8.34583i 0.155834 + 0.342434i
\(595\) 18.6430 22.2178i 0.764288 0.910843i
\(596\) −2.77769 1.67307i −0.113778 0.0685316i
\(597\) −5.91049 + 3.41243i −0.241900 + 0.139661i
\(598\) −9.40146 13.6950i −0.384454 0.560029i
\(599\) 1.65039 9.35980i 0.0674329 0.382431i −0.932349 0.361559i \(-0.882245\pi\)
0.999782 0.0208721i \(-0.00664426\pi\)
\(600\) −0.586246 + 1.96748i −0.0239334 + 0.0803219i
\(601\) −17.3028 9.98979i −0.705797 0.407492i 0.103706 0.994608i \(-0.466930\pi\)
−0.809503 + 0.587116i \(0.800263\pi\)
\(602\) 21.3116 1.66573i 0.868594 0.0678900i
\(603\) −1.90505 0.693382i −0.0775797 0.0282367i
\(604\) −5.35857 15.6169i −0.218037 0.635445i
\(605\) −17.2206 + 14.4498i −0.700117 + 0.587468i
\(606\) −2.55891 1.82733i −0.103949 0.0742301i
\(607\) 43.7982 1.77771 0.888857 0.458184i \(-0.151500\pi\)
0.888857 + 0.458184i \(0.151500\pi\)
\(608\) 14.3743 + 20.0345i 0.582954 + 0.812505i
\(609\) 2.84696 0.115365
\(610\) −6.97834 4.98327i −0.282545 0.201767i
\(611\) 16.7658 14.0682i 0.678271 0.569137i
\(612\) 2.14091 + 6.23943i 0.0865411 + 0.252214i
\(613\) −25.5323 9.29299i −1.03124 0.375340i −0.229686 0.973265i \(-0.573770\pi\)
−0.801552 + 0.597925i \(0.795992\pi\)
\(614\) −11.7076 + 0.915074i −0.472480 + 0.0369294i
\(615\) −33.6938 19.4531i −1.35867 0.784427i
\(616\) 1.71748 5.76395i 0.0691991 0.232236i
\(617\) −5.50437 + 31.2169i −0.221598 + 1.25674i 0.647486 + 0.762078i \(0.275821\pi\)
−0.869083 + 0.494666i \(0.835291\pi\)
\(618\) 6.49062 + 9.45480i 0.261091 + 0.380328i
\(619\) 16.1625 9.33144i 0.649627 0.375062i −0.138686 0.990336i \(-0.544288\pi\)
0.788313 + 0.615274i \(0.210955\pi\)
\(620\) 40.5835 + 24.4445i 1.62987 + 0.981713i
\(621\) −12.5777 + 14.9895i −0.504726 + 0.601509i
\(622\) −11.9825 26.3306i −0.480453 1.05576i
\(623\) −11.8075 + 4.29757i −0.473057 + 0.172179i
\(624\) 12.9264 + 16.6185i 0.517469 + 0.665274i
\(625\) −4.70198 26.6662i −0.188079 1.06665i
\(626\) 6.37386 6.25684i 0.254751 0.250074i
\(627\) −7.89991 + 1.86930i −0.315492 + 0.0746525i
\(628\) 0.479758 25.8900i 0.0191444 1.03312i
\(629\) −22.0468 + 3.88745i −0.879064 + 0.155003i
\(630\) 2.86822 + 0.277735i 0.114273 + 0.0110652i
\(631\) 2.81070 + 7.72234i 0.111892 + 0.307422i 0.982982 0.183703i \(-0.0588083\pi\)
−0.871090 + 0.491124i \(0.836586\pi\)
\(632\) −4.28867 9.90694i −0.170594 0.394077i
\(633\) −18.1643 15.2416i −0.721966 0.605801i
\(634\) −23.7165 + 6.11991i −0.941904 + 0.243053i
\(635\) 12.0027 + 20.7894i 0.476314 + 0.825001i
\(636\) −1.52968 + 7.82461i −0.0606559 + 0.310266i
\(637\) 12.1396 + 2.14053i 0.480988 + 0.0848111i
\(638\) 1.58307 + 0.439941i 0.0626743 + 0.0174174i
\(639\) 3.74380 6.48445i 0.148102 0.256521i
\(640\) 0.592420 + 26.4233i 0.0234175 + 1.04447i
\(641\) 0.149175 0.409855i 0.00589205 0.0161883i −0.936712 0.350102i \(-0.886147\pi\)
0.942604 + 0.333913i \(0.108369\pi\)
\(642\) −1.09615 + 2.29495i −0.0432616 + 0.0905745i
\(643\) 31.5909 + 37.6485i 1.24582 + 1.48471i 0.811937 + 0.583745i \(0.198413\pi\)
0.433885 + 0.900968i \(0.357142\pi\)
\(644\) 12.6788 1.99415i 0.499615 0.0785806i
\(645\) 30.9274i 1.21776i
\(646\) −41.8483 + 5.71897i −1.64650 + 0.225010i
\(647\) 0.588859i 0.0231504i 0.999933 + 0.0115752i \(0.00368459\pi\)
−0.999933 + 0.0115752i \(0.996315\pi\)
\(648\) 12.3491 16.6327i 0.485119 0.653394i
\(649\) 0.0456729 + 0.0544308i 0.00179282 + 0.00213660i
\(650\) 1.93569 + 0.924555i 0.0759240 + 0.0362640i
\(651\) −9.97311 + 27.4009i −0.390877 + 1.07393i
\(652\) −30.5427 26.6081i −1.19615 1.04205i
\(653\) 1.73320 3.00200i 0.0678255 0.117477i −0.830118 0.557587i \(-0.811727\pi\)
0.897944 + 0.440110i \(0.145061\pi\)
\(654\) 0.715248 2.57373i 0.0279684 0.100641i
\(655\) −14.3017 2.52178i −0.558814 0.0985339i
\(656\) −41.0404 8.81569i −1.60236 0.344195i
\(657\) 1.74708 + 3.02603i 0.0681600 + 0.118057i
\(658\) 4.22516 + 16.3738i 0.164714 + 0.638317i
\(659\) −12.9715 10.8844i −0.505299 0.423996i 0.354172 0.935180i \(-0.384763\pi\)
−0.859471 + 0.511184i \(0.829207\pi\)
\(660\) −8.12023 3.12709i −0.316080 0.121722i
\(661\) −8.54145 23.4675i −0.332224 0.912778i −0.987532 0.157417i \(-0.949683\pi\)
0.655308 0.755362i \(-0.272539\pi\)
\(662\) −3.56180 + 36.7834i −0.138433 + 1.42963i
\(663\) −35.5163 + 6.26248i −1.37934 + 0.243215i
\(664\) 17.2977 16.3620i 0.671282 0.634968i
\(665\) −5.29821 + 17.6740i −0.205456 + 0.685368i
\(666\) −1.55815 1.58729i −0.0603772 0.0615064i
\(667\) 0.608861 + 3.45302i 0.0235752 + 0.133702i
\(668\) 0.322645 + 0.399311i 0.0124835 + 0.0154498i
\(669\) −24.8552 + 9.04655i −0.960957 + 0.349760i
\(670\) 12.6641 5.76316i 0.489259 0.222650i
\(671\) 1.95789 2.33332i 0.0755834 0.0900767i
\(672\) −15.8909 + 3.47814i −0.613005 + 0.134172i
\(673\) 41.4077 23.9068i 1.59615 0.921538i 0.603932 0.797036i \(-0.293600\pi\)
0.992219 0.124502i \(-0.0397334\pi\)
\(674\) 23.4749 16.1153i 0.904218 0.620736i
\(675\) 0.438790 2.48850i 0.0168890 0.0957824i
\(676\) −3.50109 + 1.93577i −0.134657 + 0.0744527i
\(677\) 1.82895 + 1.05594i 0.0702923 + 0.0405833i 0.534734 0.845020i \(-0.320412\pi\)
−0.464442 + 0.885604i \(0.653745\pi\)
\(678\) 1.37258 + 17.5609i 0.0527135 + 0.674424i
\(679\) 16.4835 + 5.99952i 0.632580 + 0.230240i
\(680\) −40.4838 20.2661i −1.55248 0.777168i
\(681\) −9.33075 + 7.82943i −0.357555 + 0.300024i
\(682\) −9.77987 + 13.6953i −0.374491 + 0.524420i
\(683\) −22.6197 −0.865518 −0.432759 0.901510i \(-0.642460\pi\)
−0.432759 + 0.901510i \(0.642460\pi\)
\(684\) −2.82164 3.10628i −0.107888 0.118771i
\(685\) −6.85596 −0.261953
\(686\) −15.9592 + 22.3486i −0.609326 + 0.853273i
\(687\) −18.9773 + 15.9238i −0.724028 + 0.607531i
\(688\) −10.2430 31.7569i −0.390511 1.21072i
\(689\) 7.82837 + 2.84929i 0.298237 + 0.108549i
\(690\) −1.44696 18.5126i −0.0550848 0.704762i
\(691\) −33.1606 19.1453i −1.26149 0.728320i −0.288125 0.957593i \(-0.593032\pi\)
−0.973362 + 0.229273i \(0.926365\pi\)
\(692\) −5.02197 9.08290i −0.190907 0.345280i
\(693\) −0.177745 + 1.00804i −0.00675196 + 0.0382923i
\(694\) 7.65756 5.25683i 0.290677 0.199547i
\(695\) 37.6995 21.7658i 1.43002 0.825624i
\(696\) −1.03046 4.32287i −0.0390594 0.163858i
\(697\) 46.2188 55.0814i 1.75066 2.08636i
\(698\) −41.5039 + 18.8875i −1.57095 + 0.714902i
\(699\) −28.1717 + 10.2537i −1.06555 + 0.387829i
\(700\) −1.28919 + 1.04167i −0.0487268 + 0.0393715i
\(701\) 4.55149 + 25.8128i 0.171908 + 0.974936i 0.941653 + 0.336585i \(0.109272\pi\)
−0.769746 + 0.638351i \(0.779617\pi\)
\(702\) −18.1536 18.4931i −0.685162 0.697976i
\(703\) 11.9017 7.82174i 0.448883 0.295002i
\(704\) −9.37372 0.521581i −0.353285 0.0196578i
\(705\) 24.0937 4.24837i 0.907422 0.160003i
\(706\) 0.668475 6.90348i 0.0251584 0.259816i
\(707\) −0.868246 2.38549i −0.0326538 0.0897155i
\(708\) 0.0690643 0.179342i 0.00259560 0.00674009i
\(709\) −2.52308 2.11712i −0.0947563 0.0795100i 0.594179 0.804333i \(-0.297477\pi\)
−0.688935 + 0.724823i \(0.741922\pi\)
\(710\) 12.8400 + 49.7588i 0.481875 + 1.86741i
\(711\) 0.918636 + 1.59112i 0.0344515 + 0.0596718i
\(712\) 10.7992 + 16.3732i 0.404718 + 0.613611i
\(713\) −35.3669 6.23614i −1.32450 0.233545i
\(714\) 7.46094 26.8472i 0.279219 1.00473i
\(715\) −4.54616 + 7.87418i −0.170017 + 0.294478i
\(716\) 0.368241 0.422694i 0.0137618 0.0157968i
\(717\) −1.45484 + 3.99715i −0.0543322 + 0.149276i
\(718\) −23.1735 11.0685i −0.864827 0.413072i
\(719\) 7.54270 + 8.98905i 0.281295 + 0.335235i 0.888129 0.459594i \(-0.152005\pi\)
−0.606834 + 0.794829i \(0.707561\pi\)
\(720\) −0.616438 4.45569i −0.0229733 0.166054i
\(721\) 9.25879i 0.344815i
\(722\) 23.0093 13.8770i 0.856317 0.516450i
\(723\) 11.5833i 0.430789i
\(724\) −6.48769 41.2486i −0.241113 1.53299i
\(725\) −0.291050 0.346860i −0.0108093 0.0128820i
\(726\) −9.30837 + 19.4884i −0.345466 + 0.723283i
\(727\) −10.3765 + 28.5091i −0.384842 + 1.05734i 0.584450 + 0.811430i \(0.301310\pi\)
−0.969292 + 0.245914i \(0.920912\pi\)
\(728\) 1.01032 + 16.9676i 0.0374448 + 0.628860i
\(729\) −14.9152 + 25.8340i −0.552416 + 0.956813i
\(730\) −23.1054 6.42107i −0.855169 0.237655i
\(731\) 56.2892 + 9.92531i 2.08193 + 0.367101i
\(732\) −8.08527 1.58064i −0.298840 0.0584222i
\(733\) 17.1805 + 29.7575i 0.634575 + 1.09912i 0.986605 + 0.163128i \(0.0521583\pi\)
−0.352029 + 0.935989i \(0.614508\pi\)
\(734\) 12.4086 3.20197i 0.458010 0.118187i
\(735\) 10.5557 + 8.85732i 0.389354 + 0.326707i
\(736\) −7.61706 18.5299i −0.280768 0.683022i
\(737\) 1.69038 + 4.64429i 0.0622661 + 0.171075i
\(738\) 7.11075 + 0.688546i 0.261750 + 0.0253457i
\(739\) −15.7660 + 2.77998i −0.579963 + 0.102263i −0.455931 0.890015i \(-0.650694\pi\)
−0.124032 + 0.992278i \(0.539583\pi\)
\(740\) 15.2629 + 0.282832i 0.561075 + 0.0103971i
\(741\) 19.1731 12.6004i 0.704342 0.462888i
\(742\) −4.59340 + 4.50907i −0.168629 + 0.165533i
\(743\) −0.0625726 0.354867i −0.00229557 0.0130188i 0.983638 0.180154i \(-0.0576595\pi\)
−0.985934 + 0.167135i \(0.946548\pi\)
\(744\) 45.2157 + 5.22557i 1.65769 + 0.191579i
\(745\) −3.55914 + 1.29542i −0.130397 + 0.0474606i
\(746\) 8.07134 + 17.7362i 0.295513 + 0.649368i
\(747\) −2.60475 + 3.10422i −0.0953028 + 0.113577i
\(748\) 8.29741 13.7756i 0.303383 0.503687i
\(749\) −1.77821 + 1.02665i −0.0649744 + 0.0375130i
\(750\) −13.4798 19.6359i −0.492215 0.717002i
\(751\) 7.31658 41.4944i 0.266986 1.51415i −0.496334 0.868132i \(-0.665321\pi\)
0.763320 0.646021i \(-0.223568\pi\)
\(752\) 23.3329 12.3421i 0.850865 0.450068i
\(753\) 15.7329 + 9.08342i 0.573340 + 0.331018i
\(754\) −4.62944 + 0.361841i −0.168594 + 0.0131775i
\(755\) −18.1223 6.59596i −0.659537 0.240052i
\(756\) 18.9385 6.49828i 0.688787 0.236340i
\(757\) 24.5988 20.6409i 0.894060 0.750205i −0.0749606 0.997186i \(-0.523883\pi\)
0.969020 + 0.246981i \(0.0794386\pi\)
\(758\) 1.28023 + 0.914215i 0.0464999 + 0.0332058i
\(759\) 6.59594 0.239418
\(760\) 28.7542 + 1.64778i 1.04302 + 0.0597714i
\(761\) 45.1130 1.63535 0.817673 0.575683i \(-0.195264\pi\)
0.817673 + 0.575683i \(0.195264\pi\)
\(762\) 18.7688 + 13.4029i 0.679921 + 0.485534i
\(763\) 1.65206 1.38625i 0.0598087 0.0501854i
\(764\) −28.8636 + 9.90385i −1.04425 + 0.358309i
\(765\) 7.24038 + 2.63528i 0.261777 + 0.0952789i
\(766\) 32.7268 2.55796i 1.18247 0.0924227i
\(767\) −0.173908 0.100406i −0.00627944 0.00362544i
\(768\) 11.0330 + 22.8701i 0.398119 + 0.825254i
\(769\) −5.36787 + 30.4427i −0.193570 + 1.09779i 0.720870 + 0.693071i \(0.243743\pi\)
−0.914440 + 0.404722i \(0.867368\pi\)
\(770\) −3.97594 5.79170i −0.143283 0.208718i
\(771\) −11.7836 + 6.80328i −0.424377 + 0.245014i
\(772\) −4.26404 + 7.07930i −0.153466 + 0.254789i