Properties

Label 260.2.o.a.183.34
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.34
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.34

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32335 - 0.498731i) q^{2} +(1.08931 - 1.08931i) q^{3} +(1.50254 - 1.32000i) q^{4} +(-0.398291 + 2.20031i) q^{5} +(0.898273 - 1.98482i) q^{6} +(-0.555275 - 0.555275i) q^{7} +(1.33007 - 2.49618i) q^{8} +0.626800i q^{9} +O(q^{10})\) \(q+(1.32335 - 0.498731i) q^{2} +(1.08931 - 1.08931i) q^{3} +(1.50254 - 1.32000i) q^{4} +(-0.398291 + 2.20031i) q^{5} +(0.898273 - 1.98482i) q^{6} +(-0.555275 - 0.555275i) q^{7} +(1.33007 - 2.49618i) q^{8} +0.626800i q^{9} +(0.570281 + 3.11043i) q^{10} -2.61255i q^{11} +(0.198844 - 3.07462i) q^{12} +(0.707107 + 0.707107i) q^{13} +(-1.01176 - 0.457894i) q^{14} +(1.96296 + 2.83069i) q^{15} +(0.515226 - 3.96668i) q^{16} +(-2.63640 + 2.63640i) q^{17} +(0.312604 + 0.829478i) q^{18} -5.53821 q^{19} +(2.30595 + 3.83179i) q^{20} -1.20974 q^{21} +(-1.30296 - 3.45733i) q^{22} +(-0.817097 + 0.817097i) q^{23} +(-1.27026 - 4.16798i) q^{24} +(-4.68273 - 1.75273i) q^{25} +(1.28841 + 0.583097i) q^{26} +(3.95072 + 3.95072i) q^{27} +(-1.56728 - 0.101360i) q^{28} +1.74233i q^{29} +(4.00944 + 2.76701i) q^{30} +1.39981i q^{31} +(-1.29648 - 5.50628i) q^{32} +(-2.84588 - 2.84588i) q^{33} +(-2.17404 + 4.80375i) q^{34} +(1.44294 - 1.00062i) q^{35} +(0.827373 + 0.941789i) q^{36} +(-0.838546 + 0.838546i) q^{37} +(-7.32902 + 2.76208i) q^{38} +1.54052 q^{39} +(4.96262 + 3.92076i) q^{40} +0.268446 q^{41} +(-1.60091 + 0.603332i) q^{42} +(3.82216 - 3.82216i) q^{43} +(-3.44855 - 3.92545i) q^{44} +(-1.37915 - 0.249649i) q^{45} +(-0.673798 + 1.48882i) q^{46} +(8.05542 + 8.05542i) q^{47} +(-3.75971 - 4.88219i) q^{48} -6.38334i q^{49} +(-7.07105 + 0.0159388i) q^{50} +5.74373i q^{51} +(1.99583 + 0.129076i) q^{52} +(6.61129 + 6.61129i) q^{53} +(7.19854 + 3.25786i) q^{54} +(5.74842 + 1.04056i) q^{55} +(-2.12462 + 0.647516i) q^{56} +(-6.03284 + 6.03284i) q^{57} +(0.868951 + 2.30571i) q^{58} -12.1770 q^{59} +(6.68591 + 1.66211i) q^{60} +9.92235 q^{61} +(0.698126 + 1.85244i) q^{62} +(0.348046 - 0.348046i) q^{63} +(-4.46185 - 6.64017i) q^{64} +(-1.83749 + 1.27422i) q^{65} +(-5.18544 - 2.34678i) q^{66} +(-4.22053 - 4.22053i) q^{67} +(-0.481251 + 7.44133i) q^{68} +1.78015i q^{69} +(1.41048 - 2.04381i) q^{70} -11.5670i q^{71} +(1.56461 + 0.833685i) q^{72} +(-7.67772 - 7.67772i) q^{73} +(-0.691485 + 1.52790i) q^{74} +(-7.01022 + 3.19168i) q^{75} +(-8.32136 + 7.31041i) q^{76} +(-1.45068 + 1.45068i) q^{77} +(2.03865 - 0.768304i) q^{78} -6.13415 q^{79} +(8.52271 + 2.71355i) q^{80} +6.72672 q^{81} +(0.355249 - 0.133882i) q^{82} +(2.27045 - 2.27045i) q^{83} +(-1.81767 + 1.59685i) q^{84} +(-4.75085 - 6.85096i) q^{85} +(3.15185 - 6.96431i) q^{86} +(1.89794 + 1.89794i) q^{87} +(-6.52140 - 3.47486i) q^{88} -5.29932i q^{89} +(-1.94962 + 0.357452i) q^{90} -0.785278i q^{91} +(-0.149153 + 2.30628i) q^{92} +(1.52482 + 1.52482i) q^{93} +(14.6777 + 6.64270i) q^{94} +(2.20582 - 12.1858i) q^{95} +(-7.41033 - 4.58579i) q^{96} +(-3.44319 + 3.44319i) q^{97} +(-3.18357 - 8.44742i) q^{98} +1.63755 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32335 0.498731i 0.935753 0.352656i
\(3\) 1.08931 1.08931i 0.628914 0.628914i −0.318880 0.947795i \(-0.603307\pi\)
0.947795 + 0.318880i \(0.103307\pi\)
\(4\) 1.50254 1.32000i 0.751268 0.659998i
\(5\) −0.398291 + 2.20031i −0.178121 + 0.984009i
\(6\) 0.898273 1.98482i 0.366718 0.810299i
\(7\) −0.555275 0.555275i −0.209874 0.209874i 0.594340 0.804214i \(-0.297413\pi\)
−0.804214 + 0.594340i \(0.797413\pi\)
\(8\) 1.33007 2.49618i 0.470249 0.882534i
\(9\) 0.626800i 0.208933i
\(10\) 0.570281 + 3.11043i 0.180339 + 0.983605i
\(11\) 2.61255i 0.787713i −0.919172 0.393857i \(-0.871141\pi\)
0.919172 0.393857i \(-0.128859\pi\)
\(12\) 0.198844 3.07462i 0.0574012 0.887565i
\(13\) 0.707107 + 0.707107i 0.196116 + 0.196116i
\(14\) −1.01176 0.457894i −0.270404 0.122377i
\(15\) 1.96296 + 2.83069i 0.506834 + 0.730880i
\(16\) 0.515226 3.96668i 0.128807 0.991670i
\(17\) −2.63640 + 2.63640i −0.639422 + 0.639422i −0.950413 0.310991i \(-0.899339\pi\)
0.310991 + 0.950413i \(0.399339\pi\)
\(18\) 0.312604 + 0.829478i 0.0736815 + 0.195510i
\(19\) −5.53821 −1.27055 −0.635276 0.772285i \(-0.719114\pi\)
−0.635276 + 0.772285i \(0.719114\pi\)
\(20\) 2.30595 + 3.83179i 0.515626 + 0.856813i
\(21\) −1.20974 −0.263986
\(22\) −1.30296 3.45733i −0.277792 0.737105i
\(23\) −0.817097 + 0.817097i −0.170376 + 0.170376i −0.787145 0.616768i \(-0.788442\pi\)
0.616768 + 0.787145i \(0.288442\pi\)
\(24\) −1.27026 4.16798i −0.259292 0.850785i
\(25\) −4.68273 1.75273i −0.936546 0.350546i
\(26\) 1.28841 + 0.583097i 0.252678 + 0.114355i
\(27\) 3.95072 + 3.95072i 0.760316 + 0.760316i
\(28\) −1.56728 0.101360i −0.296188 0.0191553i
\(29\) 1.74233i 0.323542i 0.986828 + 0.161771i \(0.0517205\pi\)
−0.986828 + 0.161771i \(0.948279\pi\)
\(30\) 4.00944 + 2.76701i 0.732021 + 0.505185i
\(31\) 1.39981i 0.251412i 0.992068 + 0.125706i \(0.0401197\pi\)
−0.992068 + 0.125706i \(0.959880\pi\)
\(32\) −1.29648 5.50628i −0.229187 0.973382i
\(33\) −2.84588 2.84588i −0.495404 0.495404i
\(34\) −2.17404 + 4.80375i −0.372845 + 0.823837i
\(35\) 1.44294 1.00062i 0.243901 0.169135i
\(36\) 0.827373 + 0.941789i 0.137895 + 0.156965i
\(37\) −0.838546 + 0.838546i −0.137856 + 0.137856i −0.772667 0.634811i \(-0.781078\pi\)
0.634811 + 0.772667i \(0.281078\pi\)
\(38\) −7.32902 + 2.76208i −1.18892 + 0.448068i
\(39\) 1.54052 0.246681
\(40\) 4.96262 + 3.92076i 0.784659 + 0.619927i
\(41\) 0.268446 0.0419242 0.0209621 0.999780i \(-0.493327\pi\)
0.0209621 + 0.999780i \(0.493327\pi\)
\(42\) −1.60091 + 0.603332i −0.247026 + 0.0930962i
\(43\) 3.82216 3.82216i 0.582874 0.582874i −0.352818 0.935692i \(-0.614776\pi\)
0.935692 + 0.352818i \(0.114776\pi\)
\(44\) −3.44855 3.92545i −0.519889 0.591784i
\(45\) −1.37915 0.249649i −0.205592 0.0372154i
\(46\) −0.673798 + 1.48882i −0.0993460 + 0.219515i
\(47\) 8.05542 + 8.05542i 1.17500 + 1.17500i 0.981001 + 0.194004i \(0.0621473\pi\)
0.194004 + 0.981001i \(0.437853\pi\)
\(48\) −3.75971 4.88219i −0.542667 0.704684i
\(49\) 6.38334i 0.911905i
\(50\) −7.07105 + 0.0159388i −0.999997 + 0.00225408i
\(51\) 5.74373i 0.804284i
\(52\) 1.99583 + 0.129076i 0.276772 + 0.0178996i
\(53\) 6.61129 + 6.61129i 0.908131 + 0.908131i 0.996121 0.0879906i \(-0.0280445\pi\)
−0.0879906 + 0.996121i \(0.528045\pi\)
\(54\) 7.19854 + 3.25786i 0.979597 + 0.443338i
\(55\) 5.74842 + 1.04056i 0.775117 + 0.140308i
\(56\) −2.12462 + 0.647516i −0.283914 + 0.0865280i
\(57\) −6.03284 + 6.03284i −0.799069 + 0.799069i
\(58\) 0.868951 + 2.30571i 0.114099 + 0.302755i
\(59\) −12.1770 −1.58531 −0.792656 0.609669i \(-0.791302\pi\)
−0.792656 + 0.609669i \(0.791302\pi\)
\(60\) 6.68591 + 1.66211i 0.863147 + 0.214577i
\(61\) 9.92235 1.27043 0.635213 0.772337i \(-0.280912\pi\)
0.635213 + 0.772337i \(0.280912\pi\)
\(62\) 0.698126 + 1.85244i 0.0886621 + 0.235260i
\(63\) 0.348046 0.348046i 0.0438497 0.0438497i
\(64\) −4.46185 6.64017i −0.557731 0.830022i
\(65\) −1.83749 + 1.27422i −0.227912 + 0.158048i
\(66\) −5.18544 2.34678i −0.638283 0.288869i
\(67\) −4.22053 4.22053i −0.515619 0.515619i 0.400623 0.916243i \(-0.368794\pi\)
−0.916243 + 0.400623i \(0.868794\pi\)
\(68\) −0.481251 + 7.44133i −0.0583602 + 0.902394i
\(69\) 1.78015i 0.214304i
\(70\) 1.41048 2.04381i 0.168585 0.244282i
\(71\) 11.5670i 1.37275i −0.727246 0.686377i \(-0.759200\pi\)
0.727246 0.686377i \(-0.240800\pi\)
\(72\) 1.56461 + 0.833685i 0.184391 + 0.0982507i
\(73\) −7.67772 7.67772i −0.898610 0.898610i 0.0967037 0.995313i \(-0.469170\pi\)
−0.995313 + 0.0967037i \(0.969170\pi\)
\(74\) −0.691485 + 1.52790i −0.0803835 + 0.177615i
\(75\) −7.01022 + 3.19168i −0.809470 + 0.368544i
\(76\) −8.32136 + 7.31041i −0.954526 + 0.838562i
\(77\) −1.45068 + 1.45068i −0.165321 + 0.165321i
\(78\) 2.03865 0.768304i 0.230832 0.0869933i
\(79\) −6.13415 −0.690146 −0.345073 0.938576i \(-0.612146\pi\)
−0.345073 + 0.938576i \(0.612146\pi\)
\(80\) 8.52271 + 2.71355i 0.952868 + 0.303384i
\(81\) 6.72672 0.747414
\(82\) 0.355249 0.133882i 0.0392307 0.0147848i
\(83\) 2.27045 2.27045i 0.249214 0.249214i −0.571434 0.820648i \(-0.693613\pi\)
0.820648 + 0.571434i \(0.193613\pi\)
\(84\) −1.81767 + 1.59685i −0.198324 + 0.174230i
\(85\) −4.75085 6.85096i −0.515302 0.743091i
\(86\) 3.15185 6.96431i 0.339872 0.750981i
\(87\) 1.89794 + 1.89794i 0.203480 + 0.203480i
\(88\) −6.52140 3.47486i −0.695184 0.370422i
\(89\) 5.29932i 0.561727i −0.959748 0.280863i \(-0.909379\pi\)
0.959748 0.280863i \(-0.0906207\pi\)
\(90\) −1.94962 + 0.357452i −0.205508 + 0.0376788i
\(91\) 0.785278i 0.0823195i
\(92\) −0.149153 + 2.30628i −0.0155503 + 0.240446i
\(93\) 1.52482 + 1.52482i 0.158117 + 0.158117i
\(94\) 14.6777 + 6.64270i 1.51389 + 0.685142i
\(95\) 2.20582 12.1858i 0.226312 1.25023i
\(96\) −7.41033 4.58579i −0.756313 0.468035i
\(97\) −3.44319 + 3.44319i −0.349603 + 0.349603i −0.859962 0.510359i \(-0.829513\pi\)
0.510359 + 0.859962i \(0.329513\pi\)
\(98\) −3.18357 8.44742i −0.321589 0.853318i
\(99\) 1.63755 0.164580
\(100\) −9.34956 + 3.54764i −0.934956 + 0.354764i
\(101\) 13.7679 1.36995 0.684977 0.728564i \(-0.259812\pi\)
0.684977 + 0.728564i \(0.259812\pi\)
\(102\) 2.86458 + 7.60100i 0.283635 + 0.752611i
\(103\) −14.1103 + 14.1103i −1.39033 + 1.39033i −0.565749 + 0.824578i \(0.691413\pi\)
−0.824578 + 0.565749i \(0.808587\pi\)
\(104\) 2.70557 0.824569i 0.265303 0.0808556i
\(105\) 0.481827 2.66179i 0.0470215 0.259765i
\(106\) 12.0463 + 5.45183i 1.17004 + 0.529529i
\(107\) 5.44317 + 5.44317i 0.526211 + 0.526211i 0.919440 0.393230i \(-0.128642\pi\)
−0.393230 + 0.919440i \(0.628642\pi\)
\(108\) 11.1510 + 0.721166i 1.07301 + 0.0693942i
\(109\) 13.0292i 1.24797i −0.781437 0.623984i \(-0.785513\pi\)
0.781437 0.623984i \(-0.214487\pi\)
\(110\) 8.12616 1.48989i 0.774799 0.142055i
\(111\) 1.82688i 0.173399i
\(112\) −2.48869 + 1.91651i −0.235159 + 0.181093i
\(113\) 7.88479 + 7.88479i 0.741739 + 0.741739i 0.972912 0.231174i \(-0.0742566\pi\)
−0.231174 + 0.972912i \(0.574257\pi\)
\(114\) −4.97483 + 10.9923i −0.465935 + 1.02953i
\(115\) −1.47242 2.12331i −0.137304 0.198000i
\(116\) 2.29986 + 2.61791i 0.213537 + 0.243066i
\(117\) −0.443214 + 0.443214i −0.0409752 + 0.0409752i
\(118\) −16.1145 + 6.07305i −1.48346 + 0.559069i
\(119\) 2.92786 0.268397
\(120\) 9.67678 1.13491i 0.883365 0.103602i
\(121\) 4.17458 0.379508
\(122\) 13.1308 4.94858i 1.18881 0.448023i
\(123\) 0.292421 0.292421i 0.0263667 0.0263667i
\(124\) 1.84774 + 2.10326i 0.165932 + 0.188878i
\(125\) 5.72163 9.60536i 0.511759 0.859129i
\(126\) 0.287008 0.634170i 0.0255687 0.0564964i
\(127\) −11.0410 11.0410i −0.979728 0.979728i 0.0200703 0.999799i \(-0.493611\pi\)
−0.999799 + 0.0200703i \(0.993611\pi\)
\(128\) −9.21627 6.56204i −0.814611 0.580008i
\(129\) 8.32705i 0.733156i
\(130\) −1.79616 + 2.60266i −0.157533 + 0.228268i
\(131\) 22.2338i 1.94257i −0.237911 0.971287i \(-0.576463\pi\)
0.237911 0.971287i \(-0.423537\pi\)
\(132\) −8.03259 0.519489i −0.699147 0.0452157i
\(133\) 3.07523 + 3.07523i 0.266657 + 0.266657i
\(134\) −7.69016 3.48035i −0.664329 0.300656i
\(135\) −10.2663 + 7.11926i −0.883585 + 0.612729i
\(136\) 3.07436 + 10.0875i 0.263624 + 0.864999i
\(137\) −4.13734 + 4.13734i −0.353477 + 0.353477i −0.861402 0.507924i \(-0.830413\pi\)
0.507924 + 0.861402i \(0.330413\pi\)
\(138\) 0.887813 + 2.35576i 0.0755757 + 0.200536i
\(139\) 12.4175 1.05324 0.526621 0.850100i \(-0.323459\pi\)
0.526621 + 0.850100i \(0.323459\pi\)
\(140\) 0.847259 3.40814i 0.0716064 0.288040i
\(141\) 17.5497 1.47795
\(142\) −5.76883 15.3073i −0.484110 1.28456i
\(143\) 1.84735 1.84735i 0.154483 0.154483i
\(144\) 2.48631 + 0.322944i 0.207193 + 0.0269120i
\(145\) −3.83366 0.693953i −0.318368 0.0576297i
\(146\) −13.9895 6.33124i −1.15778 0.523977i
\(147\) −6.95345 6.95345i −0.573511 0.573511i
\(148\) −0.153069 + 2.36682i −0.0125822 + 0.194552i
\(149\) 2.01151i 0.164790i 0.996600 + 0.0823948i \(0.0262569\pi\)
−0.996600 + 0.0823948i \(0.973743\pi\)
\(150\) −7.68522 + 7.71994i −0.627495 + 0.630330i
\(151\) 6.76466i 0.550500i 0.961373 + 0.275250i \(0.0887607\pi\)
−0.961373 + 0.275250i \(0.911239\pi\)
\(152\) −7.36619 + 13.8244i −0.597477 + 1.12131i
\(153\) −1.65250 1.65250i −0.133597 0.133597i
\(154\) −1.19627 + 2.64327i −0.0963982 + 0.213001i
\(155\) −3.08001 0.557530i −0.247392 0.0447819i
\(156\) 2.31469 2.03348i 0.185323 0.162809i
\(157\) 14.7248 14.7248i 1.17517 1.17517i 0.194211 0.980960i \(-0.437785\pi\)
0.980960 0.194211i \(-0.0622147\pi\)
\(158\) −8.11766 + 3.05929i −0.645807 + 0.243384i
\(159\) 14.4035 1.14227
\(160\) 12.6319 0.659548i 0.998640 0.0521419i
\(161\) 0.907427 0.0715153
\(162\) 8.90184 3.35482i 0.699395 0.263580i
\(163\) −4.11279 + 4.11279i −0.322138 + 0.322138i −0.849587 0.527449i \(-0.823149\pi\)
0.527449 + 0.849587i \(0.323149\pi\)
\(164\) 0.403349 0.354347i 0.0314963 0.0276698i
\(165\) 7.39531 5.12833i 0.575724 0.399240i
\(166\) 1.87226 4.13695i 0.145316 0.321089i
\(167\) 1.64580 + 1.64580i 0.127356 + 0.127356i 0.767912 0.640556i \(-0.221296\pi\)
−0.640556 + 0.767912i \(0.721296\pi\)
\(168\) −1.60903 + 3.01972i −0.124139 + 0.232977i
\(169\) 1.00000i 0.0769231i
\(170\) −9.70385 6.69686i −0.744251 0.513626i
\(171\) 3.47135i 0.265461i
\(172\) 0.697699 10.7882i 0.0531991 0.822590i
\(173\) 14.6284 + 14.6284i 1.11218 + 1.11218i 0.992856 + 0.119320i \(0.0380713\pi\)
0.119320 + 0.992856i \(0.461929\pi\)
\(174\) 3.45820 + 1.56508i 0.262166 + 0.118649i
\(175\) 1.62696 + 3.57345i 0.122986 + 0.270127i
\(176\) −10.3631 1.34605i −0.781152 0.101463i
\(177\) −13.2646 + 13.2646i −0.997026 + 0.997026i
\(178\) −2.64293 7.01288i −0.198096 0.525637i
\(179\) 19.1843 1.43390 0.716952 0.697123i \(-0.245537\pi\)
0.716952 + 0.697123i \(0.245537\pi\)
\(180\) −2.40176 + 1.44537i −0.179017 + 0.107732i
\(181\) −25.6384 −1.90568 −0.952842 0.303466i \(-0.901856\pi\)
−0.952842 + 0.303466i \(0.901856\pi\)
\(182\) −0.391642 1.03920i −0.0290305 0.0770307i
\(183\) 10.8085 10.8085i 0.798990 0.798990i
\(184\) 0.952830 + 3.12641i 0.0702436 + 0.230482i
\(185\) −1.51108 2.17905i −0.111097 0.160207i
\(186\) 2.77836 + 1.25741i 0.203719 + 0.0921976i
\(187\) 6.88774 + 6.88774i 0.503681 + 0.503681i
\(188\) 22.7367 + 1.47044i 1.65824 + 0.107243i
\(189\) 4.38747i 0.319142i
\(190\) −3.15834 17.2262i −0.229130 1.24972i
\(191\) 5.92335i 0.428599i −0.976768 0.214299i \(-0.931253\pi\)
0.976768 0.214299i \(-0.0687468\pi\)
\(192\) −12.0936 2.37287i −0.872778 0.171247i
\(193\) 3.85932 + 3.85932i 0.277800 + 0.277800i 0.832230 0.554430i \(-0.187064\pi\)
−0.554430 + 0.832230i \(0.687064\pi\)
\(194\) −2.83934 + 6.27379i −0.203853 + 0.450432i
\(195\) −0.613575 + 3.38962i −0.0439390 + 0.242736i
\(196\) −8.42598 9.59119i −0.601855 0.685085i
\(197\) −5.18774 + 5.18774i −0.369612 + 0.369612i −0.867335 0.497724i \(-0.834169\pi\)
0.497724 + 0.867335i \(0.334169\pi\)
\(198\) 2.16705 0.816694i 0.154006 0.0580399i
\(199\) −6.21049 −0.440250 −0.220125 0.975472i \(-0.570647\pi\)
−0.220125 + 0.975472i \(0.570647\pi\)
\(200\) −10.6035 + 9.35770i −0.749778 + 0.661689i
\(201\) −9.19494 −0.648561
\(202\) 18.2198 6.86646i 1.28194 0.483123i
\(203\) 0.967471 0.967471i 0.0679031 0.0679031i
\(204\) 7.58170 + 8.63016i 0.530825 + 0.604232i
\(205\) −0.106920 + 0.590663i −0.00746758 + 0.0412537i
\(206\) −11.6357 + 25.7101i −0.810696 + 1.79131i
\(207\) −0.512156 0.512156i −0.0355973 0.0355973i
\(208\) 3.16919 2.44055i 0.219743 0.169221i
\(209\) 14.4689i 1.00083i
\(210\) −0.689890 3.76280i −0.0476069 0.259658i
\(211\) 13.2561i 0.912586i −0.889830 0.456293i \(-0.849177\pi\)
0.889830 0.456293i \(-0.150823\pi\)
\(212\) 18.6606 + 1.20683i 1.28161 + 0.0828853i
\(213\) −12.6001 12.6001i −0.863345 0.863345i
\(214\) 9.91791 + 4.48857i 0.677975 + 0.306832i
\(215\) 6.88761 + 9.93228i 0.469731 + 0.677376i
\(216\) 15.1164 4.60700i 1.02854 0.313466i
\(217\) 0.777278 0.777278i 0.0527650 0.0527650i
\(218\) −6.49804 17.2422i −0.440103 1.16779i
\(219\) −16.7269 −1.13030
\(220\) 10.0107 6.02441i 0.674923 0.406166i
\(221\) −3.72844 −0.250802
\(222\) 0.911119 + 2.41761i 0.0611503 + 0.162259i
\(223\) 5.06365 5.06365i 0.339087 0.339087i −0.516936 0.856024i \(-0.672928\pi\)
0.856024 + 0.516936i \(0.172928\pi\)
\(224\) −2.33760 + 3.77741i −0.156188 + 0.252389i
\(225\) 1.09861 2.93513i 0.0732406 0.195676i
\(226\) 14.3668 + 6.50199i 0.955663 + 0.432506i
\(227\) 17.1939 + 17.1939i 1.14120 + 1.14120i 0.988231 + 0.152966i \(0.0488825\pi\)
0.152966 + 0.988231i \(0.451118\pi\)
\(228\) −1.10124 + 17.0279i −0.0729312 + 1.12770i
\(229\) 14.9636i 0.988820i 0.869229 + 0.494410i \(0.164616\pi\)
−0.869229 + 0.494410i \(0.835384\pi\)
\(230\) −3.00750 2.07555i −0.198309 0.136858i
\(231\) 3.16050i 0.207945i
\(232\) 4.34916 + 2.31741i 0.285536 + 0.152145i
\(233\) −12.2406 12.2406i −0.801906 0.801906i 0.181488 0.983393i \(-0.441909\pi\)
−0.983393 + 0.181488i \(0.941909\pi\)
\(234\) −0.365485 + 0.807574i −0.0238925 + 0.0527928i
\(235\) −20.9328 + 14.5160i −1.36551 + 0.946921i
\(236\) −18.2964 + 16.0736i −1.19099 + 1.04630i
\(237\) −6.68201 + 6.68201i −0.434043 + 0.434043i
\(238\) 3.87460 1.46021i 0.251153 0.0946516i
\(239\) −1.22429 −0.0791931 −0.0395965 0.999216i \(-0.512607\pi\)
−0.0395965 + 0.999216i \(0.512607\pi\)
\(240\) 12.2398 6.32799i 0.790075 0.408470i
\(241\) −21.4167 −1.37957 −0.689786 0.724014i \(-0.742295\pi\)
−0.689786 + 0.724014i \(0.742295\pi\)
\(242\) 5.52445 2.08199i 0.355125 0.133836i
\(243\) −4.52465 + 4.52465i −0.290256 + 0.290256i
\(244\) 14.9087 13.0975i 0.954431 0.838479i
\(245\) 14.0453 + 2.54243i 0.897323 + 0.162430i
\(246\) 0.241137 0.532816i 0.0153744 0.0339711i
\(247\) −3.91611 3.91611i −0.249176 0.249176i
\(248\) 3.49417 + 1.86183i 0.221880 + 0.118227i
\(249\) 4.94645i 0.313468i
\(250\) 2.78127 15.5648i 0.175903 0.984408i
\(251\) 26.5248i 1.67423i 0.547027 + 0.837115i \(0.315759\pi\)
−0.547027 + 0.837115i \(0.684241\pi\)
\(252\) 0.0635326 0.982372i 0.00400218 0.0618836i
\(253\) 2.13471 + 2.13471i 0.134208 + 0.134208i
\(254\) −20.1176 9.10466i −1.26229 0.571277i
\(255\) −12.6380 2.28768i −0.791422 0.143260i
\(256\) −15.4691 4.08747i −0.966818 0.255467i
\(257\) −7.21916 + 7.21916i −0.450319 + 0.450319i −0.895460 0.445142i \(-0.853153\pi\)
0.445142 + 0.895460i \(0.353153\pi\)
\(258\) −4.15296 11.0196i −0.258552 0.686053i
\(259\) 0.931248 0.0578649
\(260\) −1.07893 + 4.34004i −0.0669123 + 0.269158i
\(261\) −1.09209 −0.0675986
\(262\) −11.0887 29.4232i −0.685060 1.81777i
\(263\) −16.3159 + 16.3159i −1.00608 + 1.00608i −0.00609825 + 0.999981i \(0.501941\pi\)
−0.999981 + 0.00609825i \(0.998059\pi\)
\(264\) −10.8890 + 3.31863i −0.670175 + 0.204248i
\(265\) −17.1801 + 11.9137i −1.05537 + 0.731851i
\(266\) 5.60334 + 2.53591i 0.343563 + 0.155487i
\(267\) −5.77261 5.77261i −0.353278 0.353278i
\(268\) −11.9126 0.770417i −0.727676 0.0470607i
\(269\) 1.48907i 0.0907904i −0.998969 0.0453952i \(-0.985545\pi\)
0.998969 0.0453952i \(-0.0144547\pi\)
\(270\) −10.0354 + 14.5414i −0.610735 + 0.884964i
\(271\) 13.3186i 0.809047i 0.914528 + 0.404523i \(0.132563\pi\)
−0.914528 + 0.404523i \(0.867437\pi\)
\(272\) 9.09943 + 11.8161i 0.551734 + 0.716457i
\(273\) −0.855413 0.855413i −0.0517719 0.0517719i
\(274\) −3.41175 + 7.53860i −0.206112 + 0.455423i
\(275\) −4.57909 + 12.2339i −0.276130 + 0.737730i
\(276\) 2.34978 + 2.67473i 0.141440 + 0.161000i
\(277\) 4.36252 4.36252i 0.262119 0.262119i −0.563796 0.825914i \(-0.690659\pi\)
0.825914 + 0.563796i \(0.190659\pi\)
\(278\) 16.4328 6.19300i 0.985574 0.371432i
\(279\) −0.877398 −0.0525284
\(280\) −0.578518 4.93273i −0.0345730 0.294787i
\(281\) −19.2168 −1.14638 −0.573189 0.819423i \(-0.694294\pi\)
−0.573189 + 0.819423i \(0.694294\pi\)
\(282\) 23.2245 8.75259i 1.38300 0.521209i
\(283\) 8.08334 8.08334i 0.480505 0.480505i −0.424788 0.905293i \(-0.639651\pi\)
0.905293 + 0.424788i \(0.139651\pi\)
\(284\) −15.2684 17.3799i −0.906014 1.03131i
\(285\) −10.8713 15.6769i −0.643960 0.928622i
\(286\) 1.52337 3.36603i 0.0900788 0.199038i
\(287\) −0.149061 0.149061i −0.00879881 0.00879881i
\(288\) 3.45134 0.812632i 0.203372 0.0478848i
\(289\) 3.09874i 0.182279i
\(290\) −5.41938 + 0.993616i −0.318237 + 0.0583471i
\(291\) 7.50142i 0.439741i
\(292\) −21.6706 1.40150i −1.26818 0.0820163i
\(293\) 17.2953 + 17.2953i 1.01040 + 1.01040i 0.999945 + 0.0104593i \(0.00332935\pi\)
0.0104593 + 0.999945i \(0.496671\pi\)
\(294\) −12.6698 5.73398i −0.738916 0.334412i
\(295\) 4.85000 26.7932i 0.282378 1.55996i
\(296\) 0.977843 + 3.20849i 0.0568359 + 0.186489i
\(297\) 10.3214 10.3214i 0.598911 0.598911i
\(298\) 1.00320 + 2.66195i 0.0581140 + 0.154202i
\(299\) −1.15555 −0.0668271
\(300\) −6.32010 + 14.0491i −0.364891 + 0.811124i
\(301\) −4.24471 −0.244661
\(302\) 3.37374 + 8.95205i 0.194137 + 0.515132i
\(303\) 14.9975 14.9975i 0.861584 0.861584i
\(304\) −2.85343 + 21.9683i −0.163656 + 1.25997i
\(305\) −3.95199 + 21.8322i −0.226290 + 1.25011i
\(306\) −3.01099 1.36269i −0.172127 0.0778998i
\(307\) 13.7867 + 13.7867i 0.786848 + 0.786848i 0.980976 0.194128i \(-0.0621878\pi\)
−0.194128 + 0.980976i \(0.562188\pi\)
\(308\) −0.264809 + 4.09460i −0.0150889 + 0.233312i
\(309\) 30.7410i 1.74879i
\(310\) −4.35400 + 0.798283i −0.247290 + 0.0453394i
\(311\) 19.9265i 1.12993i 0.825115 + 0.564965i \(0.191110\pi\)
−0.825115 + 0.564965i \(0.808890\pi\)
\(312\) 2.04899 3.84542i 0.116001 0.217704i
\(313\) 11.2952 + 11.2952i 0.638445 + 0.638445i 0.950172 0.311727i \(-0.100907\pi\)
−0.311727 + 0.950172i \(0.600907\pi\)
\(314\) 12.1425 26.8299i 0.685239 1.51410i
\(315\) 0.627186 + 0.904434i 0.0353379 + 0.0509591i
\(316\) −9.21679 + 8.09705i −0.518485 + 0.455495i
\(317\) 2.85332 2.85332i 0.160258 0.160258i −0.622423 0.782681i \(-0.713852\pi\)
0.782681 + 0.622423i \(0.213852\pi\)
\(318\) 19.0610 7.18347i 1.06889 0.402829i
\(319\) 4.55191 0.254858
\(320\) 16.3876 7.17273i 0.916092 0.400968i
\(321\) 11.8586 0.661883
\(322\) 1.20085 0.452562i 0.0669207 0.0252203i
\(323\) 14.6010 14.6010i 0.812420 0.812420i
\(324\) 10.1071 8.87924i 0.561508 0.493291i
\(325\) −2.07182 4.55055i −0.114924 0.252419i
\(326\) −3.39150 + 7.49385i −0.187838 + 0.415046i
\(327\) −14.1928 14.1928i −0.784865 0.784865i
\(328\) 0.357050 0.670089i 0.0197148 0.0369995i
\(329\) 8.94596i 0.493207i
\(330\) 7.22896 10.4749i 0.397941 0.576623i
\(331\) 10.4141i 0.572409i 0.958169 + 0.286205i \(0.0923937\pi\)
−0.958169 + 0.286205i \(0.907606\pi\)
\(332\) 0.414448 6.40840i 0.0227458 0.351707i
\(333\) −0.525600 0.525600i −0.0288027 0.0288027i
\(334\) 2.99879 + 1.35717i 0.164086 + 0.0742608i
\(335\) 10.9675 7.60547i 0.599217 0.415531i
\(336\) −0.623288 + 4.79863i −0.0340031 + 0.261787i
\(337\) −7.46518 + 7.46518i −0.406654 + 0.406654i −0.880570 0.473916i \(-0.842840\pi\)
0.473916 + 0.880570i \(0.342840\pi\)
\(338\) 0.498731 + 1.32335i 0.0271274 + 0.0719810i
\(339\) 17.1780 0.932980
\(340\) −16.1816 4.02272i −0.877568 0.218163i
\(341\) 3.65706 0.198041
\(342\) −1.73127 4.59383i −0.0936163 0.248406i
\(343\) −7.43144 + 7.43144i −0.401260 + 0.401260i
\(344\) −4.45709 14.6245i −0.240310 0.788502i
\(345\) −3.91687 0.709016i −0.210877 0.0381722i
\(346\) 26.6542 + 12.0629i 1.43294 + 0.648507i
\(347\) −13.4773 13.4773i −0.723500 0.723500i 0.245816 0.969316i \(-0.420944\pi\)
−0.969316 + 0.245816i \(0.920944\pi\)
\(348\) 5.35698 + 0.346450i 0.287164 + 0.0185717i
\(349\) 11.1418i 0.596405i −0.954503 0.298202i \(-0.903613\pi\)
0.954503 0.298202i \(-0.0963870\pi\)
\(350\) 3.93523 + 3.91753i 0.210347 + 0.209401i
\(351\) 5.58716i 0.298220i
\(352\) −14.3854 + 3.38711i −0.766746 + 0.180534i
\(353\) −7.91271 7.91271i −0.421151 0.421151i 0.464449 0.885600i \(-0.346252\pi\)
−0.885600 + 0.464449i \(0.846252\pi\)
\(354\) −10.9383 + 24.1692i −0.581363 + 1.28458i
\(355\) 25.4511 + 4.60705i 1.35080 + 0.244517i
\(356\) −6.99507 7.96241i −0.370738 0.422007i
\(357\) 3.18935 3.18935i 0.168799 0.168799i
\(358\) 25.3877 9.56781i 1.34178 0.505674i
\(359\) −16.1308 −0.851351 −0.425675 0.904876i \(-0.639963\pi\)
−0.425675 + 0.904876i \(0.639963\pi\)
\(360\) −2.45753 + 3.11057i −0.129523 + 0.163941i
\(361\) 11.6718 0.614305
\(362\) −33.9286 + 12.7866i −1.78325 + 0.672051i
\(363\) 4.54742 4.54742i 0.238678 0.238678i
\(364\) −1.03656 1.17991i −0.0543307 0.0618440i
\(365\) 19.9513 13.8354i 1.04430 0.724178i
\(366\) 8.91298 19.6941i 0.465889 1.02943i
\(367\) −20.5903 20.5903i −1.07480 1.07480i −0.996966 0.0778383i \(-0.975198\pi\)
−0.0778383 0.996966i \(-0.524802\pi\)
\(368\) 2.82017 + 3.66215i 0.147012 + 0.190903i
\(369\) 0.168262i 0.00875935i
\(370\) −3.08645 2.13003i −0.160457 0.110735i
\(371\) 7.34218i 0.381187i
\(372\) 4.30386 + 0.278342i 0.223145 + 0.0144314i
\(373\) 0.929154 + 0.929154i 0.0481098 + 0.0481098i 0.730752 0.682643i \(-0.239169\pi\)
−0.682643 + 0.730752i \(0.739169\pi\)
\(374\) 12.5500 + 5.67980i 0.648948 + 0.293695i
\(375\) −4.23058 16.6959i −0.218466 0.862171i
\(376\) 30.8220 9.39356i 1.58953 0.484436i
\(377\) −1.23201 + 1.23201i −0.0634518 + 0.0634518i
\(378\) −2.18817 5.80618i −0.112547 0.298638i
\(379\) 0.239279 0.0122909 0.00614547 0.999981i \(-0.498044\pi\)
0.00614547 + 0.999981i \(0.498044\pi\)
\(380\) −12.7708 21.2212i −0.655131 1.08863i
\(381\) −24.0541 −1.23233
\(382\) −2.95416 7.83869i −0.151148 0.401062i
\(383\) 21.2103 21.2103i 1.08379 1.08379i 0.0876426 0.996152i \(-0.472067\pi\)
0.996152 0.0876426i \(-0.0279334\pi\)
\(384\) −17.1875 + 2.89128i −0.877096 + 0.147545i
\(385\) −2.61416 3.76975i −0.133230 0.192124i
\(386\) 7.03201 + 3.18249i 0.357920 + 0.161984i
\(387\) 2.39573 + 2.39573i 0.121782 + 0.121782i
\(388\) −0.628522 + 9.71851i −0.0319084 + 0.493383i
\(389\) 19.1329i 0.970077i 0.874493 + 0.485039i \(0.161194\pi\)
−0.874493 + 0.485039i \(0.838806\pi\)
\(390\) 0.878530 + 4.79168i 0.0444861 + 0.242636i
\(391\) 4.30839i 0.217885i
\(392\) −15.9340 8.49026i −0.804787 0.428823i
\(393\) −24.2195 24.2195i −1.22171 1.22171i
\(394\) −4.27794 + 9.45251i −0.215519 + 0.476211i
\(395\) 2.44318 13.4970i 0.122930 0.679110i
\(396\) 2.46047 2.16155i 0.123643 0.108622i
\(397\) 11.7462 11.7462i 0.589526 0.589526i −0.347977 0.937503i \(-0.613131\pi\)
0.937503 + 0.347977i \(0.113131\pi\)
\(398\) −8.21868 + 3.09736i −0.411965 + 0.155257i
\(399\) 6.69978 0.335408
\(400\) −9.36517 + 17.6718i −0.468259 + 0.883591i
\(401\) 25.7092 1.28385 0.641927 0.766766i \(-0.278135\pi\)
0.641927 + 0.766766i \(0.278135\pi\)
\(402\) −12.1682 + 4.58580i −0.606893 + 0.228719i
\(403\) −0.989812 + 0.989812i −0.0493060 + 0.0493060i
\(404\) 20.6867 18.1735i 1.02920 0.904167i
\(405\) −2.67919 + 14.8009i −0.133130 + 0.735461i
\(406\) 0.797800 1.76281i 0.0395941 0.0874870i
\(407\) 2.19074 + 2.19074i 0.108591 + 0.108591i
\(408\) 14.3374 + 7.63954i 0.709807 + 0.378214i
\(409\) 23.0564i 1.14007i −0.821621 0.570034i \(-0.806930\pi\)
0.821621 0.570034i \(-0.193070\pi\)
\(410\) 0.153090 + 0.834981i 0.00756055 + 0.0412368i
\(411\) 9.01372i 0.444614i
\(412\) −2.57570 + 39.8267i −0.126895 + 1.96212i
\(413\) 6.76160 + 6.76160i 0.332716 + 0.332716i
\(414\) −0.933192 0.422336i −0.0458639 0.0207567i
\(415\) 4.09139 + 5.89998i 0.200838 + 0.289619i
\(416\) 2.97678 4.81028i 0.145949 0.235843i
\(417\) 13.5266 13.5266i 0.662399 0.662399i
\(418\) 7.21606 + 19.1474i 0.352949 + 0.936531i
\(419\) −15.1893 −0.742048 −0.371024 0.928623i \(-0.620993\pi\)
−0.371024 + 0.928623i \(0.620993\pi\)
\(420\) −2.78959 4.63545i −0.136118 0.226187i
\(421\) 2.77524 0.135257 0.0676286 0.997711i \(-0.478457\pi\)
0.0676286 + 0.997711i \(0.478457\pi\)
\(422\) −6.61121 17.5425i −0.321829 0.853955i
\(423\) −5.04914 + 5.04914i −0.245497 + 0.245497i
\(424\) 25.2964 7.70954i 1.22850 0.374408i
\(425\) 16.9665 7.72467i 0.822995 0.374701i
\(426\) −22.9585 10.3904i −1.11234 0.503414i
\(427\) −5.50964 5.50964i −0.266630 0.266630i
\(428\) 15.3635 + 0.993598i 0.742623 + 0.0480274i
\(429\) 4.02468i 0.194314i
\(430\) 14.0683 + 9.70886i 0.678433 + 0.468203i
\(431\) 19.7282i 0.950275i 0.879911 + 0.475138i \(0.157602\pi\)
−0.879911 + 0.475138i \(0.842398\pi\)
\(432\) 17.7067 13.6357i 0.851916 0.656048i
\(433\) 13.7591 + 13.7591i 0.661220 + 0.661220i 0.955668 0.294447i \(-0.0951355\pi\)
−0.294447 + 0.955668i \(0.595136\pi\)
\(434\) 0.640962 1.41627i 0.0307672 0.0679830i
\(435\) −4.93198 + 3.42012i −0.236470 + 0.163982i
\(436\) −17.1984 19.5768i −0.823655 0.937558i
\(437\) 4.52525 4.52525i 0.216472 0.216472i
\(438\) −22.1356 + 8.34220i −1.05768 + 0.398606i
\(439\) 21.2804 1.01566 0.507828 0.861459i \(-0.330449\pi\)
0.507828 + 0.861459i \(0.330449\pi\)
\(440\) 10.2432 12.9651i 0.488325 0.618087i
\(441\) 4.00107 0.190527
\(442\) −4.93405 + 1.85949i −0.234689 + 0.0884468i
\(443\) 5.32319 5.32319i 0.252912 0.252912i −0.569251 0.822164i \(-0.692767\pi\)
0.822164 + 0.569251i \(0.192767\pi\)
\(444\) 2.41147 + 2.74495i 0.114443 + 0.130269i
\(445\) 11.6601 + 2.11067i 0.552744 + 0.100055i
\(446\) 4.17561 9.22641i 0.197721 0.436883i
\(447\) 2.19117 + 2.19117i 0.103639 + 0.103639i
\(448\) −1.20957 + 6.16468i −0.0571467 + 0.291254i
\(449\) 7.92418i 0.373965i −0.982363 0.186983i \(-0.940129\pi\)
0.982363 0.186983i \(-0.0598708\pi\)
\(450\) −0.00999041 4.43213i −0.000470952 0.208933i
\(451\) 0.701327i 0.0330242i
\(452\) 22.2551 + 1.43929i 1.04679 + 0.0676987i
\(453\) 7.36883 + 7.36883i 0.346218 + 0.346218i
\(454\) 31.3287 + 14.1785i 1.47033 + 0.665429i
\(455\) 1.72786 + 0.312769i 0.0810031 + 0.0146629i
\(456\) 7.03499 + 23.0831i 0.329444 + 1.08097i
\(457\) 29.0379 29.0379i 1.35834 1.35834i 0.482366 0.875970i \(-0.339778\pi\)
0.875970 0.482366i \(-0.160222\pi\)
\(458\) 7.46279 + 19.8021i 0.348713 + 0.925292i
\(459\) −20.8314 −0.972325
\(460\) −5.01513 1.24675i −0.233831 0.0581302i
\(461\) −2.07249 −0.0965253 −0.0482626 0.998835i \(-0.515368\pi\)
−0.0482626 + 0.998835i \(0.515368\pi\)
\(462\) 1.57624 + 4.18246i 0.0733331 + 0.194586i
\(463\) −3.97424 + 3.97424i −0.184699 + 0.184699i −0.793400 0.608701i \(-0.791691\pi\)
0.608701 + 0.793400i \(0.291691\pi\)
\(464\) 6.91125 + 0.897692i 0.320847 + 0.0416743i
\(465\) −3.96241 + 2.74776i −0.183752 + 0.127424i
\(466\) −22.3033 10.0939i −1.03318 0.467589i
\(467\) −1.80715 1.80715i −0.0836251 0.0836251i 0.664057 0.747682i \(-0.268833\pi\)
−0.747682 + 0.664057i \(0.768833\pi\)
\(468\) −0.0809046 + 1.25099i −0.00373981 + 0.0578268i
\(469\) 4.68711i 0.216431i
\(470\) −20.4620 + 29.6497i −0.943841 + 1.36764i
\(471\) 32.0799i 1.47816i
\(472\) −16.1962 + 30.3960i −0.745492 + 1.39909i
\(473\) −9.98559 9.98559i −0.459138 0.459138i
\(474\) −5.51014 + 12.1752i −0.253089 + 0.559225i
\(475\) 25.9339 + 9.70698i 1.18993 + 0.445387i
\(476\) 4.39922 3.86476i 0.201638 0.177141i
\(477\) −4.14396 + 4.14396i −0.189739 + 0.189739i
\(478\) −1.62018 + 0.610593i −0.0741052 + 0.0279279i
\(479\) −26.5874 −1.21481 −0.607404 0.794393i \(-0.707789\pi\)
−0.607404 + 0.794393i \(0.707789\pi\)
\(480\) 13.0416 14.4785i 0.595266 0.660852i
\(481\) −1.18588 −0.0540716
\(482\) −28.3419 + 10.6812i −1.29094 + 0.486514i
\(483\) 0.988471 0.988471i 0.0449770 0.0449770i
\(484\) 6.27246 5.51043i 0.285112 0.250474i
\(485\) −6.20469 8.94748i −0.281741 0.406284i
\(486\) −3.73113 + 8.24430i −0.169248 + 0.373969i
\(487\) 6.65587 + 6.65587i 0.301606 + 0.301606i 0.841642 0.540036i \(-0.181589\pi\)
−0.540036 + 0.841642i \(0.681589\pi\)
\(488\) 13.1974 24.7680i 0.597417 1.12119i
\(489\) 8.96022i 0.405195i
\(490\) 19.8549 3.64030i 0.896954 0.164452i
\(491\) 10.2609i 0.463069i −0.972827 0.231534i \(-0.925625\pi\)
0.972827 0.231534i \(-0.0743746\pi\)
\(492\) 0.0533787 0.825367i 0.00240650 0.0372104i
\(493\) −4.59348 4.59348i −0.206880 0.206880i
\(494\) −7.13548 3.22932i −0.321041 0.145294i
\(495\) −0.652220 + 3.60311i −0.0293151 + 0.161948i
\(496\) 5.55258 + 0.721216i 0.249318 + 0.0323836i
\(497\) −6.42289 + 6.42289i −0.288106 + 0.288106i
\(498\) −2.46695 6.54591i −0.110546 0.293329i
\(499\) −22.7084 −1.01657 −0.508284 0.861190i \(-0.669720\pi\)
−0.508284 + 0.861190i \(0.669720\pi\)
\(500\) −4.08206 21.9849i −0.182555 0.983196i
\(501\) 3.58558 0.160192
\(502\) 13.2287 + 35.1017i 0.590427 + 1.56667i
\(503\) −22.8714 + 22.8714i −1.01979 + 1.01979i −0.0199855 + 0.999800i \(0.506362\pi\)
−0.999800 + 0.0199855i \(0.993638\pi\)
\(504\) −0.405863 1.33171i −0.0180786 0.0593192i
\(505\) −5.48362 + 30.2936i −0.244018 + 1.34805i
\(506\) 3.88962 + 1.76033i 0.172915 + 0.0782562i
\(507\) 1.08931 + 1.08931i 0.0483780 + 0.0483780i
\(508\) −31.1635 2.01543i −1.38266 0.0894200i
\(509\) 13.0663i 0.579152i 0.957155 + 0.289576i \(0.0935143\pi\)
−0.957155 + 0.289576i \(0.906486\pi\)
\(510\) −17.8655 + 3.27554i −0.791097 + 0.145044i
\(511\) 8.52650i 0.377190i
\(512\) −22.5096 + 2.30573i −0.994795 + 0.101900i
\(513\) −21.8799 21.8799i −0.966021 0.966021i
\(514\) −5.95309 + 13.1539i −0.262580 + 0.580195i
\(515\) −25.4270 36.6670i −1.12045 1.61574i
\(516\) −10.9917 12.5117i −0.483881 0.550797i
\(517\) 21.0452 21.0452i 0.925567 0.925567i
\(518\) 1.23237 0.464442i 0.0541473 0.0204064i
\(519\) 31.8697 1.39893
\(520\) 0.736704 + 6.28150i 0.0323066 + 0.275462i
\(521\) −7.80199 −0.341811 −0.170906 0.985287i \(-0.554669\pi\)
−0.170906 + 0.985287i \(0.554669\pi\)
\(522\) −1.44522 + 0.544658i −0.0632556 + 0.0238390i
\(523\) −21.0008 + 21.0008i −0.918299 + 0.918299i −0.996906 0.0786066i \(-0.974953\pi\)
0.0786066 + 0.996906i \(0.474953\pi\)
\(524\) −29.3485 33.4070i −1.28209 1.45939i
\(525\) 5.66487 + 2.12034i 0.247235 + 0.0925392i
\(526\) −13.4545 + 29.7289i −0.586642 + 1.29624i
\(527\) −3.69045 3.69045i −0.160759 0.160759i
\(528\) −12.7550 + 9.82243i −0.555089 + 0.427466i
\(529\) 21.6647i 0.941944i
\(530\) −16.7937 + 24.3343i −0.729470 + 1.05701i
\(531\) 7.63255i 0.331224i
\(532\) 8.67994 + 0.561355i 0.376323 + 0.0243378i
\(533\) 0.189820 + 0.189820i 0.00822200 + 0.00822200i
\(534\) −10.5182 4.76023i −0.455166 0.205995i
\(535\) −14.1446 + 9.80869i −0.611525 + 0.424067i
\(536\) −16.1488 + 4.92163i −0.697521 + 0.212582i
\(537\) 20.8977 20.8977i 0.901803 0.901803i
\(538\) −0.742647 1.97057i −0.0320178 0.0849574i
\(539\) −16.6768 −0.718320
\(540\) −6.02814 + 24.2485i −0.259410 + 1.04349i
\(541\) −45.7567 −1.96723 −0.983616 0.180276i \(-0.942301\pi\)
−0.983616 + 0.180276i \(0.942301\pi\)
\(542\) 6.64239 + 17.6252i 0.285315 + 0.757068i
\(543\) −27.9282 + 27.9282i −1.19851 + 1.19851i
\(544\) 17.9348 + 11.0988i 0.768949 + 0.475855i
\(545\) 28.6682 + 5.18940i 1.22801 + 0.222289i
\(546\) −1.55863 0.705394i −0.0667034 0.0301881i
\(547\) −1.26509 1.26509i −0.0540915 0.0540915i 0.679544 0.733635i \(-0.262178\pi\)
−0.733635 + 0.679544i \(0.762178\pi\)
\(548\) −0.755233 + 11.6778i −0.0322620 + 0.498850i
\(549\) 6.21933i 0.265434i
\(550\) 0.0416408 + 18.4735i 0.00177557 + 0.787711i
\(551\) 9.64937i 0.411077i
\(552\) 4.44357 + 2.36771i 0.189131 + 0.100776i
\(553\) 3.40615 + 3.40615i 0.144844 + 0.144844i
\(554\) 3.59744 7.94889i 0.152841 0.337716i
\(555\) −4.01969 0.727629i −0.170627 0.0308861i
\(556\) 18.6578 16.3911i 0.791266 0.695137i
\(557\) 9.55340 9.55340i 0.404790 0.404790i −0.475127 0.879917i \(-0.657598\pi\)
0.879917 + 0.475127i \(0.157598\pi\)
\(558\) −1.16111 + 0.437585i −0.0491536 + 0.0185245i
\(559\) 5.40535 0.228622
\(560\) −3.22569 6.23922i −0.136310 0.263655i
\(561\) 15.0058 0.633545
\(562\) −25.4306 + 9.58400i −1.07273 + 0.404277i
\(563\) −15.7377 + 15.7377i −0.663264 + 0.663264i −0.956148 0.292884i \(-0.905385\pi\)
0.292884 + 0.956148i \(0.405385\pi\)
\(564\) 26.3691 23.1656i 1.11034 0.975446i
\(565\) −20.4894 + 14.2085i −0.861996 + 0.597758i
\(566\) 6.66572 14.7285i 0.280181 0.619086i
\(567\) −3.73518 3.73518i −0.156863 0.156863i
\(568\) −28.8734 15.3849i −1.21150 0.645537i
\(569\) 34.6969i 1.45457i −0.686336 0.727285i \(-0.740782\pi\)
0.686336 0.727285i \(-0.259218\pi\)
\(570\) −22.2051 15.3243i −0.930071 0.641865i
\(571\) 31.8445i 1.33265i −0.745661 0.666325i \(-0.767866\pi\)
0.745661 0.666325i \(-0.232134\pi\)
\(572\) 0.337216 5.21421i 0.0140997 0.218017i
\(573\) −6.45238 6.45238i −0.269552 0.269552i
\(574\) −0.271602 0.122919i −0.0113365 0.00513056i
\(575\) 5.25839 2.39409i 0.219290 0.0998406i
\(576\) 4.16206 2.79669i 0.173419 0.116529i
\(577\) −18.9584 + 18.9584i −0.789250 + 0.789250i −0.981371 0.192121i \(-0.938463\pi\)
0.192121 + 0.981371i \(0.438463\pi\)
\(578\) 1.54544 + 4.10073i 0.0642817 + 0.170568i
\(579\) 8.40801 0.349425
\(580\) −6.67622 + 4.01772i −0.277215 + 0.166827i
\(581\) −2.52145 −0.104607
\(582\) 3.74119 + 9.92703i 0.155077 + 0.411489i
\(583\) 17.2723 17.2723i 0.715347 0.715347i
\(584\) −29.3769 + 8.95312i −1.21562 + 0.370483i
\(585\) −0.798681 1.15174i −0.0330214 0.0476185i
\(586\) 31.5136 + 14.2622i 1.30181 + 0.589164i
\(587\) 25.5124 + 25.5124i 1.05301 + 1.05301i 0.998514 + 0.0544948i \(0.0173548\pi\)
0.0544948 + 0.998514i \(0.482645\pi\)
\(588\) −19.6263 1.26929i −0.809376 0.0523444i
\(589\) 7.75242i 0.319433i
\(590\) −6.94432 37.8758i −0.285893 1.55932i
\(591\) 11.3021i 0.464908i
\(592\) 2.89420 + 3.75828i 0.118951 + 0.154465i
\(593\) −24.8373 24.8373i −1.01994 1.01994i −0.999797 0.0201477i \(-0.993586\pi\)
−0.0201477 0.999797i \(-0.506414\pi\)
\(594\) 8.51131 18.8065i 0.349223 0.771642i
\(595\) −1.16614 + 6.44220i −0.0478071 + 0.264105i
\(596\) 2.65519 + 3.02237i 0.108761 + 0.123801i
\(597\) −6.76516 + 6.76516i −0.276880 + 0.276880i
\(598\) −1.52920 + 0.576308i −0.0625337 + 0.0235670i
\(599\) 2.06094 0.0842077 0.0421039 0.999113i \(-0.486594\pi\)
0.0421039 + 0.999113i \(0.486594\pi\)
\(600\) −1.35703 + 21.7439i −0.0554004 + 0.887692i
\(601\) 38.4787 1.56958 0.784789 0.619763i \(-0.212771\pi\)
0.784789 + 0.619763i \(0.212771\pi\)
\(602\) −5.61725 + 2.11697i −0.228942 + 0.0862811i
\(603\) 2.64543 2.64543i 0.107730 0.107730i
\(604\) 8.92932 + 10.1641i 0.363329 + 0.413573i
\(605\) −1.66270 + 9.18538i −0.0675984 + 0.373439i
\(606\) 12.3673 27.3267i 0.502388 1.11007i
\(607\) −5.25189 5.25189i −0.213168 0.213168i 0.592444 0.805612i \(-0.298163\pi\)
−0.805612 + 0.592444i \(0.798163\pi\)
\(608\) 7.18017 + 30.4950i 0.291194 + 1.23673i
\(609\) 2.10775i 0.0854105i
\(610\) 5.65853 + 30.8628i 0.229107 + 1.24960i
\(611\) 11.3921i 0.460875i
\(612\) −4.66423 0.301648i −0.188540 0.0121934i
\(613\) 11.0862 + 11.0862i 0.447767 + 0.447767i 0.894612 0.446844i \(-0.147452\pi\)
−0.446844 + 0.894612i \(0.647452\pi\)
\(614\) 25.1205 + 11.3688i 1.01378 + 0.458809i
\(615\) 0.526948 + 0.759885i 0.0212486 + 0.0306415i
\(616\) 1.69167 + 5.55068i 0.0681592 + 0.223643i
\(617\) −5.58285 + 5.58285i −0.224757 + 0.224757i −0.810498 0.585741i \(-0.800804\pi\)
0.585741 + 0.810498i \(0.300804\pi\)
\(618\) 15.3315 + 40.6812i 0.616722 + 1.63644i
\(619\) 19.7859 0.795261 0.397630 0.917546i \(-0.369833\pi\)
0.397630 + 0.917546i \(0.369833\pi\)
\(620\) −5.36376 + 3.22788i −0.215414 + 0.129635i
\(621\) −6.45623 −0.259080
\(622\) 9.93797 + 26.3699i 0.398476 + 1.05734i
\(623\) −2.94258 + 2.94258i −0.117892 + 0.117892i
\(624\) 0.793716 6.11075i 0.0317741 0.244626i
\(625\) 18.8559 + 16.4151i 0.754236 + 0.656604i
\(626\) 20.5809 + 9.31433i 0.822578 + 0.372275i
\(627\) 15.7611 + 15.7611i 0.629437 + 0.629437i
\(628\) 2.68788 41.5613i 0.107258 1.65848i
\(629\) 4.42149i 0.176297i
\(630\) 1.28106 + 0.884090i 0.0510386 + 0.0352230i
\(631\) 45.3821i 1.80663i 0.428976 + 0.903316i \(0.358875\pi\)
−0.428976 + 0.903316i \(0.641125\pi\)
\(632\) −8.15883 + 15.3120i −0.324541 + 0.609077i
\(633\) −14.4400 14.4400i −0.573938 0.573938i
\(634\) 2.35292 5.19899i 0.0934462 0.206478i
\(635\) 28.6911 19.8960i 1.13857 0.789551i
\(636\) 21.6418 19.0126i 0.858153 0.753897i
\(637\) 4.51370 4.51370i 0.178839 0.178839i
\(638\) 6.02379 2.27018i 0.238484 0.0898772i
\(639\) 7.25021 0.286814
\(640\) 18.1093 17.6650i 0.715832 0.698272i
\(641\) −25.1139 −0.991939 −0.495969 0.868340i \(-0.665187\pi\)
−0.495969 + 0.868340i \(0.665187\pi\)
\(642\) 15.6931 5.91425i 0.619359 0.233417i
\(643\) −8.77643 + 8.77643i −0.346109 + 0.346109i −0.858658 0.512549i \(-0.828701\pi\)
0.512549 + 0.858658i \(0.328701\pi\)
\(644\) 1.36344 1.19780i 0.0537271 0.0471999i
\(645\) 18.3221 + 3.31659i 0.721432 + 0.130591i
\(646\) 12.0403 26.6042i 0.473720 1.04673i
\(647\) −8.86854 8.86854i −0.348658 0.348658i 0.510951 0.859610i \(-0.329293\pi\)
−0.859610 + 0.510951i \(0.829293\pi\)
\(648\) 8.94698 16.7911i 0.351471 0.659618i
\(649\) 31.8131i 1.24877i
\(650\) −5.01126 4.98872i −0.196558 0.195674i
\(651\) 1.69340i 0.0663694i
\(652\) −0.750750 + 11.6085i −0.0294016 + 0.454623i
\(653\) −29.2512 29.2512i −1.14469 1.14469i −0.987582 0.157104i \(-0.949784\pi\)
−0.157104 0.987582i \(-0.550216\pi\)
\(654\) −25.8605 11.7037i −1.01123 0.457652i
\(655\) 48.9212 + 8.85552i 1.91151 + 0.346014i
\(656\) 0.138310 1.06484i 0.00540010 0.0415749i
\(657\) 4.81239 4.81239i 0.187749 0.187749i
\(658\) −4.46162 11.8387i −0.173932 0.461520i
\(659\) 9.65978 0.376292 0.188146 0.982141i \(-0.439752\pi\)
0.188146 + 0.982141i \(0.439752\pi\)
\(660\) 4.34234 17.4673i 0.169026 0.679913i
\(661\) −17.3904 −0.676407 −0.338203 0.941073i \(-0.609819\pi\)
−0.338203 + 0.941073i \(0.609819\pi\)
\(662\) 5.19382 + 13.7815i 0.201863 + 0.535634i
\(663\) −4.06143 + 4.06143i −0.157733 + 0.157733i
\(664\) −2.64761 8.68729i −0.102747 0.337132i
\(665\) −7.99130 + 5.54163i −0.309889 + 0.214895i
\(666\) −0.957689 0.433423i −0.0371097 0.0167948i
\(667\) −1.42365 1.42365i −0.0551239 0.0551239i
\(668\) 4.64532 + 0.300425i 0.179733 + 0.0116238i
\(669\) 11.0318i 0.426514i
\(670\) 10.7208 15.5345i 0.414179 0.600152i
\(671\) 25.9226i 1.00073i
\(672\) 1.56840 + 6.66115i 0.0605022 + 0.256959i
\(673\) −5.95062 5.95062i −0.229380 0.229380i 0.583054 0.812433i \(-0.301858\pi\)
−0.812433 + 0.583054i \(0.801858\pi\)
\(674\) −6.15597 + 13.6022i −0.237119 + 0.523937i
\(675\) −11.5756 25.4247i −0.445545 0.978596i
\(676\) 1.32000 + 1.50254i 0.0507690 + 0.0577898i
\(677\) 7.68011 7.68011i 0.295171 0.295171i −0.543948 0.839119i \(-0.683071\pi\)
0.839119 + 0.543948i \(0.183071\pi\)
\(678\) 22.7326 8.56719i 0.873039 0.329021i
\(679\) 3.82384 0.146745
\(680\) −23.4202 + 2.74676i −0.898124 + 0.105333i
\(681\) 37.4590 1.43543
\(682\) 4.83959 1.82389i 0.185317 0.0698403i
\(683\) 26.3784 26.3784i 1.00934 1.00934i 0.00938591 0.999956i \(-0.497012\pi\)
0.999956 0.00938591i \(-0.00298767\pi\)
\(684\) −4.58216 5.21583i −0.175203 0.199432i
\(685\) −7.45557 10.7513i −0.284863 0.410786i
\(686\) −6.12814 + 13.5407i −0.233974 + 0.516987i
\(687\) 16.3000 + 16.3000i 0.621883 + 0.621883i
\(688\) −13.1920 17.1306i −0.502941 0.653097i
\(689\) 9.34978i 0.356198i
\(690\) −5.53702 + 1.01518i −0.210791 + 0.0386474i
\(691\) 40.5369i 1.54210i −0.636777 0.771048i \(-0.719733\pi\)
0.636777 0.771048i \(-0.280267\pi\)
\(692\) 41.2891 + 2.67027i 1.56957 + 0.101509i
\(693\) −0.909289 0.909289i −0.0345410 0.0345410i
\(694\) −24.5568 11.1137i −0.932164 0.421871i
\(695\) −4.94579 + 27.3224i −0.187605 + 1.03640i
\(696\) 7.26197 2.21321i 0.275264 0.0838917i
\(697\) −0.707731 + 0.707731i −0.0268072 + 0.0268072i
\(698\) −5.55674 14.7445i −0.210326 0.558087i
\(699\) −26.6676 −1.00866
\(700\) 7.16150 + 3.22166i 0.270679 + 0.121767i
\(701\) −21.9492 −0.829009 −0.414504 0.910047i \(-0.636045\pi\)
−0.414504 + 0.910047i \(0.636045\pi\)
\(702\) 2.78649 + 7.39379i 0.105169 + 0.279061i
\(703\) 4.64405 4.64405i 0.175154 0.175154i
\(704\) −17.3478 + 11.6568i −0.653819 + 0.439333i
\(705\) −6.98991 + 38.6149i −0.263255 + 1.45432i
\(706\) −14.4176 6.52501i −0.542615 0.245572i
\(707\) −7.64496 7.64496i −0.287518 0.287518i
\(708\) −2.42132 + 37.4396i −0.0909988 + 1.40707i
\(709\) 1.71169i 0.0642840i −0.999483 0.0321420i \(-0.989767\pi\)
0.999483 0.0321420i \(-0.0102329\pi\)
\(710\) 35.9785 6.59646i 1.35025 0.247561i
\(711\) 3.84489i 0.144194i
\(712\) −13.2281 7.04844i −0.495743 0.264151i
\(713\) −1.14378 1.14378i −0.0428348 0.0428348i
\(714\) 2.63002 5.81128i 0.0984260 0.217482i
\(715\) 3.32896 + 4.80053i 0.124496 + 0.179530i
\(716\) 28.8251 25.3232i 1.07725 0.946373i
\(717\) −1.33364 + 1.33364i −0.0498057 + 0.0498057i
\(718\) −21.3468 + 8.04492i −0.796654 + 0.300234i
\(719\) −16.1346 −0.601721 −0.300860 0.953668i \(-0.597274\pi\)
−0.300860 + 0.953668i \(0.597274\pi\)
\(720\) −1.70085 + 5.34203i −0.0633870 + 0.199086i
\(721\) 15.6702 0.583588
\(722\) 15.4459 5.82108i 0.574838 0.216638i
\(723\) −23.3295 + 23.3295i −0.867632 + 0.867632i
\(724\) −38.5225 + 33.8425i −1.43168 + 1.25775i
\(725\) 3.05382 8.15884i 0.113416 0.303012i
\(726\) 3.74991 8.28579i 0.139172 0.307515i
\(727\) 13.4326 + 13.4326i 0.498186 + 0.498186i 0.910873 0.412687i \(-0.135410\pi\)
−0.412687 + 0.910873i \(0.635410\pi\)
\(728\) −1.96020 1.04447i −0.0726497 0.0387107i
\(729\) 30.0377i 1.11251i
\(730\) 19.5026 28.2595i 0.721822 1.04593i
\(731\) 20.1535i 0.745406i
\(732\) 1.97300 30.5074i 0.0729240 1.12759i
\(733\) −9.61021 9.61021i −0.354961 0.354961i 0.506990 0.861952i \(-0.330758\pi\)
−0.861952 + 0.506990i \(0.830758\pi\)
\(734\) −37.5173 16.9792i −1.38479 0.626716i
\(735\) 18.0692 12.5302i 0.666494 0.462185i
\(736\) 5.55851 + 3.43982i 0.204889 + 0.126793i
\(737\) −11.0263 + 11.0263i −0.406160 + 0.406160i
\(738\) 0.0839172 + 0.222670i 0.00308904 + 0.00819659i
\(739\) 48.4936 1.78387 0.891934 0.452166i \(-0.149349\pi\)
0.891934 + 0.452166i \(0.149349\pi\)
\(740\) −5.14678 1.27948i −0.189199 0.0470347i
\(741\) −8.53172 −0.313421
\(742\) −3.66177 9.71630i −0.134428 0.356697i
\(743\) 12.7554 12.7554i 0.467951 0.467951i −0.433299 0.901250i \(-0.642651\pi\)
0.901250 + 0.433299i \(0.142651\pi\)
\(744\) 5.83436 1.77812i 0.213898 0.0651892i
\(745\) −4.42596 0.801169i −0.162154 0.0293525i
\(746\) 1.69300 + 0.766203i 0.0619850 + 0.0280527i
\(747\) 1.42312 + 1.42312i 0.0520691 + 0.0520691i
\(748\) 19.4409 + 1.25729i 0.710828 + 0.0459711i
\(749\) 6.04491i 0.220876i
\(750\) −13.9253 19.9846i −0.508480 0.729736i
\(751\) 6.79567i 0.247977i −0.992284 0.123989i \(-0.960431\pi\)
0.992284 0.123989i \(-0.0395687\pi\)
\(752\) 36.1036 27.8029i 1.31656 1.01387i
\(753\) 28.8938 + 28.8938i 1.05295 + 1.05295i
\(754\) −1.01595 + 2.24483i −0.0369985 + 0.0817518i
\(755\) −14.8844 2.69431i −0.541697 0.0980558i
\(756\) −5.79144 6.59233i −0.210633 0.239761i
\(757\) −11.3555 + 11.3555i −0.412722 + 0.412722i −0.882686 0.469963i \(-0.844267\pi\)
0.469963 + 0.882686i \(0.344267\pi\)
\(758\) 0.316651 0.119336i 0.0115013 0.00433447i
\(759\) 4.65072 0.168810
\(760\) −27.4840 21.7140i −0.996951 0.787650i
\(761\) 31.0924 1.12710 0.563550 0.826082i \(-0.309435\pi\)
0.563550 + 0.826082i \(0.309435\pi\)
\(762\) −31.8321 + 11.9965i −1.15316 + 0.434589i
\(763\) −7.23477 + 7.23477i −0.261916 + 0.261916i
\(764\) −7.81879 8.90004i −0.282874 0.321992i
\(765\) 4.29418 2.97783i 0.155256 0.107664i
\(766\) 17.4905 38.6469i 0.631958 1.39637i
\(767\) −8.61045 8.61045i −0.310905 0.310905i
\(768\) −21.3032 + 12.3981i −0.768713 + 0.447379i
\(769\) 24.4534i 0.881812i −0.897553 0.440906i \(-0.854657\pi\)
0.897553 0.440906i \(-0.145343\pi\)
\(770\) −5.33955 3.68496i −0.192424 0.132797i
\(771\) 15.7278i 0.566424i
\(772\) 10.8931 + 0.704483i 0.392050 + 0.0253549i
\(773\) −17.9314 17.9314i −0.644947 0.644947i 0.306820 0.951767i \(-0.400735\pi\)
−0.951767 + 0.306820i \(0.900735\pi\)
\(774\) 4.36523 + 1.97558i 0.156905 + 0.0710107i
\(775\) 2.45348 6.55491i