Properties

Label 115.2.j.a.4.7
Level $115$
Weight $2$
Character 115.4
Analytic conductor $0.918$
Analytic rank $0$
Dimension $100$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 115.4
Dual form 115.2.j.a.29.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.477984 - 0.218288i) q^{2} +(0.663307 + 2.25902i) q^{3} +(-1.12890 + 1.30282i) q^{4} +(-2.15745 - 0.587726i) q^{5} +(0.810167 + 0.934983i) q^{6} +(3.03882 - 0.436916i) q^{7} +(-0.551291 + 1.87752i) q^{8} +(-2.13942 + 1.37492i) q^{9} +O(q^{10})\) \(q+(0.477984 - 0.218288i) q^{2} +(0.663307 + 2.25902i) q^{3} +(-1.12890 + 1.30282i) q^{4} +(-2.15745 - 0.587726i) q^{5} +(0.810167 + 0.934983i) q^{6} +(3.03882 - 0.436916i) q^{7} +(-0.551291 + 1.87752i) q^{8} +(-2.13942 + 1.37492i) q^{9} +(-1.15952 + 0.190022i) q^{10} +(0.639358 - 1.40000i) q^{11} +(-3.69191 - 1.68604i) q^{12} +(2.46613 + 0.354576i) q^{13} +(1.35713 - 0.872177i) q^{14} +(-0.103368 - 5.26355i) q^{15} +(-0.344335 - 2.39490i) q^{16} +(-0.765539 + 0.663343i) q^{17} +(-0.722480 + 1.12420i) q^{18} +(4.34173 - 5.01062i) q^{19} +(3.20125 - 2.14729i) q^{20} +(3.00267 + 6.57493i) q^{21} -0.808742i q^{22} +(-4.70182 - 0.944904i) q^{23} -4.60703 q^{24} +(4.30916 + 2.53597i) q^{25} +(1.25617 - 0.368845i) q^{26} +(0.812918 + 0.704397i) q^{27} +(-2.86130 + 4.45227i) q^{28} +(1.91799 + 2.21348i) q^{29} +(-1.19838 - 2.49333i) q^{30} +(-8.97455 - 2.63517i) q^{31} +(-2.80320 - 4.36187i) q^{32} +(3.58671 + 0.515691i) q^{33} +(-0.221116 + 0.484176i) q^{34} +(-6.81287 - 0.843367i) q^{35} +(0.623916 - 4.33943i) q^{36} +(-4.50401 - 7.00838i) q^{37} +(0.981520 - 3.34275i) q^{38} +(0.834809 + 5.80622i) q^{39} +(2.29285 - 3.72665i) q^{40} +(-2.93712 - 1.88758i) q^{41} +(2.87046 + 2.48727i) q^{42} +(3.05193 + 10.3939i) q^{43} +(1.10218 + 2.41343i) q^{44} +(5.42376 - 1.70893i) q^{45} +(-2.45366 + 0.574703i) q^{46} +6.01433i q^{47} +(5.18172 - 2.36641i) q^{48} +(2.32706 - 0.683286i) q^{49} +(2.61328 + 0.271518i) q^{50} +(-2.00629 - 1.28937i) q^{51} +(-3.24597 + 2.81265i) q^{52} +(-0.472909 + 0.0679941i) q^{53} +(0.542324 + 0.159241i) q^{54} +(-2.20220 + 2.64466i) q^{55} +(-0.854952 + 5.94632i) q^{56} +(14.1990 + 6.48446i) q^{57} +(1.39994 + 0.639333i) q^{58} +(1.15651 - 8.04367i) q^{59} +(6.97417 + 5.80736i) q^{60} +(2.28378 + 0.670578i) q^{61} +(-4.86492 + 0.699470i) q^{62} +(-5.90058 + 5.11288i) q^{63} +(1.77884 + 1.14319i) q^{64} +(-5.11216 - 2.21439i) q^{65} +(1.82696 - 0.536444i) q^{66} +(4.81628 - 2.19952i) q^{67} -1.74621i q^{68} +(-0.984201 - 11.2483i) q^{69} +(-3.44054 + 1.08405i) q^{70} +(-3.69107 - 8.08231i) q^{71} +(-1.40201 - 4.77479i) q^{72} +(3.01277 + 2.61058i) q^{73} +(-3.68269 - 2.36672i) q^{74} +(-2.87051 + 11.4166i) q^{75} +(1.62657 + 11.3130i) q^{76} +(1.33121 - 4.53369i) q^{77} +(1.66646 + 2.59306i) q^{78} +(-1.08101 + 7.51856i) q^{79} +(-0.664661 + 5.36925i) q^{80} +(-4.22140 + 9.24357i) q^{81} +(-1.81594 - 0.261092i) q^{82} +(-8.17334 - 12.7180i) q^{83} +(-11.9557 - 3.51050i) q^{84} +(2.04147 - 0.981202i) q^{85} +(3.72765 + 4.30193i) q^{86} +(-3.72806 + 5.80098i) q^{87} +(2.27606 + 1.97222i) q^{88} +(7.12317 - 2.09155i) q^{89} +(2.21943 - 2.00078i) q^{90} +7.64904 q^{91} +(6.53894 - 5.05894i) q^{92} -22.0216i q^{93} +(1.31286 + 2.87476i) q^{94} +(-12.3119 + 8.25841i) q^{95} +(7.99415 - 9.22575i) q^{96} +(2.20825 - 3.43610i) q^{97} +(0.963144 - 0.834569i) q^{98} +(0.557033 + 3.87425i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} + O(q^{10}) \) \( 100q - 14q^{4} - 9q^{5} - 18q^{6} - 12q^{9} - 13q^{10} - 26q^{11} - 26q^{14} - 10q^{15} - 18q^{16} - 14q^{19} + 49q^{20} - 22q^{21} - 68q^{24} + 21q^{25} - 42q^{26} - 24q^{29} + 19q^{30} - 12q^{31} + 8q^{34} - 37q^{35} - 10q^{36} + 14q^{39} - q^{40} + 8q^{41} + 166q^{44} - 42q^{45} - 18q^{46} + 32q^{49} - 23q^{50} - 22q^{51} + 116q^{54} + 27q^{55} - 116q^{56} + 50q^{59} + 123q^{60} - 38q^{61} + 10q^{64} + 76q^{65} - 28q^{66} + 80q^{69} + 102q^{70} - 110q^{71} + 22q^{74} + 6q^{75} + 4q^{76} + 42q^{79} + 18q^{80} + 204q^{81} + 56q^{84} - 121q^{85} + 132q^{86} - 66q^{89} - 198q^{90} + 76q^{91} - 70q^{94} - 74q^{95} + 236q^{96} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.477984 0.218288i 0.337986 0.154353i −0.239190 0.970973i \(-0.576882\pi\)
0.577176 + 0.816620i \(0.304155\pi\)
\(3\) 0.663307 + 2.25902i 0.382961 + 1.30424i 0.895301 + 0.445461i \(0.146960\pi\)
−0.512341 + 0.858782i \(0.671221\pi\)
\(4\) −1.12890 + 1.30282i −0.564451 + 0.651411i
\(5\) −2.15745 0.587726i −0.964840 0.262839i
\(6\) 0.810167 + 0.934983i 0.330749 + 0.381705i
\(7\) 3.03882 0.436916i 1.14856 0.165139i 0.458369 0.888762i \(-0.348434\pi\)
0.690195 + 0.723623i \(0.257525\pi\)
\(8\) −0.551291 + 1.87752i −0.194911 + 0.663805i
\(9\) −2.13942 + 1.37492i −0.713139 + 0.458307i
\(10\) −1.15952 + 0.190022i −0.366672 + 0.0600901i
\(11\) 0.639358 1.40000i 0.192774 0.422116i −0.788421 0.615136i \(-0.789101\pi\)
0.981195 + 0.193020i \(0.0618284\pi\)
\(12\) −3.69191 1.68604i −1.06576 0.486717i
\(13\) 2.46613 + 0.354576i 0.683982 + 0.0983417i 0.475541 0.879693i \(-0.342252\pi\)
0.208440 + 0.978035i \(0.433161\pi\)
\(14\) 1.35713 0.872177i 0.362709 0.233099i
\(15\) −0.103368 5.26355i −0.0266896 1.35904i
\(16\) −0.344335 2.39490i −0.0860837 0.598725i
\(17\) −0.765539 + 0.663343i −0.185671 + 0.160884i −0.742737 0.669584i \(-0.766472\pi\)
0.557066 + 0.830468i \(0.311927\pi\)
\(18\) −0.722480 + 1.12420i −0.170290 + 0.264977i
\(19\) 4.34173 5.01062i 0.996061 1.14952i 0.00730613 0.999973i \(-0.497674\pi\)
0.988755 0.149543i \(-0.0477802\pi\)
\(20\) 3.20125 2.14729i 0.715821 0.480148i
\(21\) 3.00267 + 6.57493i 0.655236 + 1.43477i
\(22\) 0.808742i 0.172424i
\(23\) −4.70182 0.944904i −0.980398 0.197026i
\(24\) −4.60703 −0.940407
\(25\) 4.30916 + 2.53597i 0.861831 + 0.507195i
\(26\) 1.25617 0.368845i 0.246356 0.0723365i
\(27\) 0.812918 + 0.704397i 0.156446 + 0.135561i
\(28\) −2.86130 + 4.45227i −0.540735 + 0.841401i
\(29\) 1.91799 + 2.21348i 0.356161 + 0.411032i 0.905350 0.424666i \(-0.139609\pi\)
−0.549188 + 0.835699i \(0.685063\pi\)
\(30\) −1.19838 2.49333i −0.218793 0.455218i
\(31\) −8.97455 2.63517i −1.61188 0.473290i −0.653058 0.757308i \(-0.726514\pi\)
−0.958819 + 0.284018i \(0.908332\pi\)
\(32\) −2.80320 4.36187i −0.495541 0.771077i
\(33\) 3.58671 + 0.515691i 0.624366 + 0.0897703i
\(34\) −0.221116 + 0.484176i −0.0379210 + 0.0830355i
\(35\) −6.81287 0.843367i −1.15159 0.142555i
\(36\) 0.623916 4.33943i 0.103986 0.723239i
\(37\) −4.50401 7.00838i −0.740455 1.15217i −0.983280 0.182100i \(-0.941711\pi\)
0.242825 0.970070i \(-0.421926\pi\)
\(38\) 0.981520 3.34275i 0.159224 0.542266i
\(39\) 0.834809 + 5.80622i 0.133676 + 0.929740i
\(40\) 2.29285 3.72665i 0.362531 0.589235i
\(41\) −2.93712 1.88758i −0.458702 0.294790i 0.290810 0.956781i \(-0.406075\pi\)
−0.749512 + 0.661991i \(0.769712\pi\)
\(42\) 2.87046 + 2.48727i 0.442921 + 0.383793i
\(43\) 3.05193 + 10.3939i 0.465415 + 1.58506i 0.773562 + 0.633720i \(0.218473\pi\)
−0.308147 + 0.951339i \(0.599709\pi\)
\(44\) 1.10218 + 2.41343i 0.166159 + 0.363839i
\(45\) 5.42376 1.70893i 0.808526 0.254752i
\(46\) −2.45366 + 0.574703i −0.361772 + 0.0847354i
\(47\) 6.01433i 0.877281i 0.898663 + 0.438640i \(0.144540\pi\)
−0.898663 + 0.438640i \(0.855460\pi\)
\(48\) 5.18172 2.36641i 0.747917 0.341562i
\(49\) 2.32706 0.683286i 0.332437 0.0976123i
\(50\) 2.61328 + 0.271518i 0.369574 + 0.0383984i
\(51\) −2.00629 1.28937i −0.280937 0.180547i
\(52\) −3.24597 + 2.81265i −0.450135 + 0.390044i
\(53\) −0.472909 + 0.0679941i −0.0649591 + 0.00933970i −0.174718 0.984619i \(-0.555901\pi\)
0.109759 + 0.993958i \(0.464992\pi\)
\(54\) 0.542324 + 0.159241i 0.0738009 + 0.0216699i
\(55\) −2.20220 + 2.64466i −0.296944 + 0.356605i
\(56\) −0.854952 + 5.94632i −0.114248 + 0.794610i
\(57\) 14.1990 + 6.48446i 1.88070 + 0.858888i
\(58\) 1.39994 + 0.639333i 0.183822 + 0.0839486i
\(59\) 1.15651 8.04367i 0.150564 1.04720i −0.764713 0.644371i \(-0.777119\pi\)
0.915277 0.402825i \(-0.131972\pi\)
\(60\) 6.97417 + 5.80736i 0.900361 + 0.749727i
\(61\) 2.28378 + 0.670578i 0.292408 + 0.0858587i 0.424647 0.905359i \(-0.360398\pi\)
−0.132239 + 0.991218i \(0.542217\pi\)
\(62\) −4.86492 + 0.699470i −0.617846 + 0.0888328i
\(63\) −5.90058 + 5.11288i −0.743403 + 0.644162i
\(64\) 1.77884 + 1.14319i 0.222355 + 0.142899i
\(65\) −5.11216 2.21439i −0.634085 0.274661i
\(66\) 1.82696 0.536444i 0.224883 0.0660317i
\(67\) 4.81628 2.19952i 0.588402 0.268714i −0.0988867 0.995099i \(-0.531528\pi\)
0.687288 + 0.726385i \(0.258801\pi\)
\(68\) 1.74621i 0.211759i
\(69\) −0.984201 11.2483i −0.118484 1.35413i
\(70\) −3.44054 + 1.08405i −0.411224 + 0.129569i
\(71\) −3.69107 8.08231i −0.438049 0.959194i −0.991952 0.126613i \(-0.959589\pi\)
0.553903 0.832581i \(-0.313138\pi\)
\(72\) −1.40201 4.77479i −0.165228 0.562715i
\(73\) 3.01277 + 2.61058i 0.352619 + 0.305546i 0.813101 0.582123i \(-0.197778\pi\)
−0.460482 + 0.887669i \(0.652323\pi\)
\(74\) −3.68269 2.36672i −0.428104 0.275126i
\(75\) −2.87051 + 11.4166i −0.331458 + 1.31827i
\(76\) 1.62657 + 11.3130i 0.186580 + 1.29769i
\(77\) 1.33121 4.53369i 0.151705 0.516661i
\(78\) 1.66646 + 2.59306i 0.188689 + 0.293606i
\(79\) −1.08101 + 7.51856i −0.121623 + 0.845904i 0.834096 + 0.551620i \(0.185990\pi\)
−0.955718 + 0.294284i \(0.904919\pi\)
\(80\) −0.664661 + 5.36925i −0.0743113 + 0.600300i
\(81\) −4.22140 + 9.24357i −0.469044 + 1.02706i
\(82\) −1.81594 0.261092i −0.200536 0.0288328i
\(83\) −8.17334 12.7180i −0.897140 1.39598i −0.918165 0.396199i \(-0.870329\pi\)
0.0210242 0.999779i \(-0.493307\pi\)
\(84\) −11.9557 3.51050i −1.30447 0.383027i
\(85\) 2.04147 0.981202i 0.221429 0.106426i
\(86\) 3.72765 + 4.30193i 0.401963 + 0.463890i
\(87\) −3.72806 + 5.80098i −0.399690 + 0.621931i
\(88\) 2.27606 + 1.97222i 0.242629 + 0.210239i
\(89\) 7.12317 2.09155i 0.755055 0.221704i 0.118519 0.992952i \(-0.462185\pi\)
0.636535 + 0.771248i \(0.280367\pi\)
\(90\) 2.21943 2.00078i 0.233949 0.210901i
\(91\) 7.64904 0.801837
\(92\) 6.53894 5.05894i 0.681732 0.527431i
\(93\) 22.0216i 2.28353i
\(94\) 1.31286 + 2.87476i 0.135411 + 0.296509i
\(95\) −12.3119 + 8.25841i −1.26318 + 0.847295i
\(96\) 7.99415 9.22575i 0.815900 0.941599i
\(97\) 2.20825 3.43610i 0.224214 0.348883i −0.710862 0.703332i \(-0.751695\pi\)
0.935076 + 0.354448i \(0.115331\pi\)
\(98\) 0.963144 0.834569i 0.0972923 0.0843042i
\(99\) 0.557033 + 3.87425i 0.0559839 + 0.389377i
\(100\) −8.16854 + 2.75120i −0.816854 + 0.275120i
\(101\) 6.75893 4.34370i 0.672539 0.432214i −0.159301 0.987230i \(-0.550924\pi\)
0.831840 + 0.555016i \(0.187288\pi\)
\(102\) −1.24043 0.178347i −0.122821 0.0176590i
\(103\) −11.0603 5.05109i −1.08981 0.497699i −0.212273 0.977210i \(-0.568087\pi\)
−0.877536 + 0.479512i \(0.840814\pi\)
\(104\) −2.02528 + 4.43475i −0.198595 + 0.434863i
\(105\) −2.61385 15.9498i −0.255085 1.55654i
\(106\) −0.211201 + 0.135731i −0.0205136 + 0.0131833i
\(107\) −3.45137 + 11.7543i −0.333656 + 1.13633i 0.606358 + 0.795192i \(0.292630\pi\)
−0.940014 + 0.341137i \(0.889188\pi\)
\(108\) −1.83541 + 0.263892i −0.176612 + 0.0253930i
\(109\) −1.07876 1.24495i −0.103326 0.119245i 0.701731 0.712442i \(-0.252411\pi\)
−0.805057 + 0.593197i \(0.797865\pi\)
\(110\) −0.475318 + 1.74482i −0.0453198 + 0.166362i
\(111\) 12.8445 14.8233i 1.21915 1.40697i
\(112\) −2.09274 7.12722i −0.197745 0.673459i
\(113\) −8.19242 + 3.74135i −0.770678 + 0.351957i −0.761638 0.648002i \(-0.775605\pi\)
−0.00903961 + 0.999959i \(0.502877\pi\)
\(114\) 8.20237 0.768223
\(115\) 9.58859 + 4.80196i 0.894141 + 0.447785i
\(116\) −5.04899 −0.468787
\(117\) −5.76360 + 2.63215i −0.532845 + 0.243342i
\(118\) −1.20305 4.09720i −0.110749 0.377178i
\(119\) −2.03651 + 2.35026i −0.186686 + 0.215448i
\(120\) 9.93943 + 2.70767i 0.907342 + 0.247176i
\(121\) 5.65225 + 6.52304i 0.513841 + 0.593004i
\(122\) 1.23799 0.177996i 0.112082 0.0161150i
\(123\) 2.31585 7.88705i 0.208813 0.711152i
\(124\) 13.5645 8.71740i 1.21813 0.782846i
\(125\) −7.80632 8.00383i −0.698219 0.715885i
\(126\) −1.70430 + 3.73190i −0.151831 + 0.332464i
\(127\) −6.03439 2.75582i −0.535466 0.244539i 0.129281 0.991608i \(-0.458733\pi\)
−0.664747 + 0.747069i \(0.731460\pi\)
\(128\) 11.3642 + 1.63392i 1.00446 + 0.144420i
\(129\) −21.4557 + 13.7887i −1.88907 + 1.21403i
\(130\) −2.92691 + 0.0574800i −0.256707 + 0.00504133i
\(131\) −0.0907186 0.630962i −0.00792612 0.0551274i 0.985475 0.169823i \(-0.0543197\pi\)
−0.993401 + 0.114696i \(0.963411\pi\)
\(132\) −4.72090 + 4.09068i −0.410902 + 0.356048i
\(133\) 11.0045 17.1233i 0.954211 1.48478i
\(134\) 1.82198 2.10267i 0.157395 0.181643i
\(135\) −1.33983 1.99747i −0.115315 0.171915i
\(136\) −0.823409 1.80301i −0.0706067 0.154607i
\(137\) 16.8911i 1.44310i 0.692360 + 0.721552i \(0.256571\pi\)
−0.692360 + 0.721552i \(0.743429\pi\)
\(138\) −2.92579 5.16165i −0.249060 0.439389i
\(139\) −9.84075 −0.834681 −0.417341 0.908750i \(-0.637038\pi\)
−0.417341 + 0.908750i \(0.637038\pi\)
\(140\) 8.78982 7.92388i 0.742876 0.669690i
\(141\) −13.5865 + 3.98935i −1.14419 + 0.335964i
\(142\) −3.52855 3.05750i −0.296109 0.256580i
\(143\) 2.07315 3.22588i 0.173365 0.269762i
\(144\) 4.02948 + 4.65026i 0.335790 + 0.387522i
\(145\) −2.83704 5.90271i −0.235604 0.490193i
\(146\) 2.00992 + 0.590165i 0.166342 + 0.0488424i
\(147\) 3.08711 + 4.80363i 0.254620 + 0.396197i
\(148\) 14.2153 + 2.04385i 1.16849 + 0.168003i
\(149\) 0.273366 0.598589i 0.0223950 0.0490383i −0.898104 0.439783i \(-0.855055\pi\)
0.920499 + 0.390745i \(0.127783\pi\)
\(150\) 1.12005 + 6.08355i 0.0914513 + 0.496720i
\(151\) −0.627769 + 4.36623i −0.0510871 + 0.355319i 0.948204 + 0.317663i \(0.102898\pi\)
−0.999291 + 0.0376556i \(0.988011\pi\)
\(152\) 7.01401 + 10.9140i 0.568912 + 0.885244i
\(153\) 0.725764 2.47172i 0.0586745 0.199827i
\(154\) −0.353352 2.45762i −0.0284739 0.198041i
\(155\) 17.8134 + 10.9598i 1.43080 + 0.880313i
\(156\) −8.50690 5.46705i −0.681097 0.437714i
\(157\) −0.541721 0.469404i −0.0432340 0.0374625i 0.632976 0.774172i \(-0.281833\pi\)
−0.676210 + 0.736709i \(0.736379\pi\)
\(158\) 1.12451 + 3.82972i 0.0894611 + 0.304676i
\(159\) −0.467284 1.02321i −0.0370580 0.0811457i
\(160\) 3.48418 + 11.0580i 0.275449 + 0.874213i
\(161\) −14.7008 0.817087i −1.15859 0.0643955i
\(162\) 5.33976i 0.419531i
\(163\) −22.9342 + 10.4737i −1.79634 + 0.820362i −0.832434 + 0.554124i \(0.813053\pi\)
−0.963907 + 0.266237i \(0.914219\pi\)
\(164\) 5.77490 1.69566i 0.450944 0.132409i
\(165\) −7.43506 3.22058i −0.578818 0.250722i
\(166\) −6.68291 4.29485i −0.518694 0.333345i
\(167\) 4.26661 3.69704i 0.330160 0.286085i −0.473967 0.880542i \(-0.657179\pi\)
0.804127 + 0.594457i \(0.202633\pi\)
\(168\) −13.9999 + 2.01289i −1.08012 + 0.155298i
\(169\) −6.51733 1.91366i −0.501333 0.147205i
\(170\) 0.761608 0.914629i 0.0584127 0.0701488i
\(171\) −2.39957 + 16.6894i −0.183500 + 1.27627i
\(172\) −16.9868 7.75760i −1.29523 0.591512i
\(173\) 14.0330 + 6.40867i 1.06691 + 0.487242i 0.869935 0.493166i \(-0.164160\pi\)
0.196977 + 0.980408i \(0.436888\pi\)
\(174\) −0.515671 + 3.58657i −0.0390929 + 0.271897i
\(175\) 14.2027 + 5.82362i 1.07363 + 0.440224i
\(176\) −3.57301 1.04913i −0.269326 0.0790812i
\(177\) 18.9379 2.72286i 1.42346 0.204663i
\(178\) 2.94820 2.55463i 0.220977 0.191478i
\(179\) 20.9513 + 13.4646i 1.56598 + 1.00639i 0.980691 + 0.195564i \(0.0626537\pi\)
0.585285 + 0.810828i \(0.300983\pi\)
\(180\) −3.89646 + 8.99541i −0.290425 + 0.670478i
\(181\) 7.92021 2.32558i 0.588704 0.172859i 0.0262045 0.999657i \(-0.491658\pi\)
0.562500 + 0.826797i \(0.309840\pi\)
\(182\) 3.65612 1.66970i 0.271010 0.123766i
\(183\) 5.60389i 0.414252i
\(184\) 4.36615 8.30687i 0.321877 0.612391i
\(185\) 5.59816 + 17.7673i 0.411585 + 1.30628i
\(186\) −4.80705 10.5260i −0.352470 0.771802i
\(187\) 0.439226 + 1.49587i 0.0321194 + 0.109389i
\(188\) −7.83561 6.78959i −0.571471 0.495182i
\(189\) 2.77807 + 1.78536i 0.202075 + 0.129866i
\(190\) −4.08220 + 6.63494i −0.296154 + 0.481349i
\(191\) −2.29599 15.9689i −0.166132 1.15547i −0.886787 0.462179i \(-0.847068\pi\)
0.720655 0.693294i \(-0.243841\pi\)
\(192\) −1.40257 + 4.77672i −0.101222 + 0.344730i
\(193\) 6.51962 + 10.1447i 0.469293 + 0.730234i 0.992536 0.121949i \(-0.0389145\pi\)
−0.523243 + 0.852183i \(0.675278\pi\)
\(194\) 0.305448 2.12444i 0.0219299 0.152526i
\(195\) 1.61141 13.0173i 0.115396 0.932186i
\(196\) −1.73682 + 3.80311i −0.124059 + 0.271650i
\(197\) 20.5909 + 2.96053i 1.46704 + 0.210929i 0.829076 0.559136i \(-0.188867\pi\)
0.637966 + 0.770065i \(0.279776\pi\)
\(198\) 1.11196 + 1.73024i 0.0790233 + 0.122963i
\(199\) −6.66748 1.95775i −0.472645 0.138781i 0.0367310 0.999325i \(-0.488306\pi\)
−0.509376 + 0.860544i \(0.670124\pi\)
\(200\) −7.13695 + 6.69249i −0.504659 + 0.473230i
\(201\) 8.16342 + 9.42109i 0.575803 + 0.664512i
\(202\) 2.28249 3.55162i 0.160595 0.249891i
\(203\) 6.79552 + 5.88835i 0.476952 + 0.413281i
\(204\) 3.94472 1.15827i 0.276186 0.0810954i
\(205\) 5.22731 + 5.79857i 0.365092 + 0.404990i
\(206\) −6.38927 −0.445161
\(207\) 11.3583 4.44309i 0.789459 0.308816i
\(208\) 6.02823i 0.417983i
\(209\) −4.23895 9.28200i −0.293214 0.642049i
\(210\) −4.73103 7.05319i −0.326472 0.486716i
\(211\) 2.41845 2.79104i 0.166493 0.192143i −0.666372 0.745620i \(-0.732154\pi\)
0.832865 + 0.553476i \(0.186699\pi\)
\(212\) 0.445284 0.692875i 0.0305822 0.0475869i
\(213\) 15.8098 13.6992i 1.08327 0.938657i
\(214\) 0.916120 + 6.37175i 0.0626247 + 0.435564i
\(215\) −0.475606 24.2181i −0.0324361 1.65166i
\(216\) −1.77068 + 1.13795i −0.120479 + 0.0774274i
\(217\) −28.4234 4.08666i −1.92950 0.277421i
\(218\) −0.787387 0.359588i −0.0533286 0.0243543i
\(219\) −3.89896 + 8.53753i −0.263467 + 0.576913i
\(220\) −0.959454 5.85463i −0.0646864 0.394719i
\(221\) −2.12313 + 1.36445i −0.142817 + 0.0917829i
\(222\) 2.90371 9.88913i 0.194884 0.663715i
\(223\) −5.00283 + 0.719299i −0.335014 + 0.0481678i −0.307769 0.951461i \(-0.599583\pi\)
−0.0272450 + 0.999629i \(0.508673\pi\)
\(224\) −10.4242 12.0302i −0.696496 0.803799i
\(225\) −12.7059 + 0.499240i −0.847057 + 0.0332827i
\(226\) −3.09916 + 3.57662i −0.206153 + 0.237913i
\(227\) −3.20844 10.9270i −0.212952 0.725248i −0.994806 0.101787i \(-0.967544\pi\)
0.781854 0.623461i \(-0.214274\pi\)
\(228\) −24.4774 + 11.1784i −1.62105 + 0.740310i
\(229\) 16.4731 1.08857 0.544285 0.838900i \(-0.316801\pi\)
0.544285 + 0.838900i \(0.316801\pi\)
\(230\) 5.63141 + 0.202187i 0.371324 + 0.0133318i
\(231\) 11.1247 0.731950
\(232\) −5.21323 + 2.38080i −0.342265 + 0.156307i
\(233\) 1.81503 + 6.18143i 0.118907 + 0.404959i 0.997339 0.0729086i \(-0.0232281\pi\)
−0.878432 + 0.477867i \(0.841410\pi\)
\(234\) −2.18034 + 2.51625i −0.142534 + 0.164493i
\(235\) 3.53478 12.9756i 0.230584 0.846435i
\(236\) 9.17390 + 10.5872i 0.597170 + 0.689171i
\(237\) −17.7016 + 2.54510i −1.14984 + 0.165322i
\(238\) −0.460386 + 1.56793i −0.0298424 + 0.101634i
\(239\) −24.2672 + 15.5956i −1.56972 + 1.00880i −0.590241 + 0.807227i \(0.700967\pi\)
−0.979474 + 0.201568i \(0.935396\pi\)
\(240\) −12.5701 + 2.05998i −0.811396 + 0.132971i
\(241\) 4.31309 9.44435i 0.277831 0.608364i −0.718350 0.695682i \(-0.755102\pi\)
0.996181 + 0.0873177i \(0.0278295\pi\)
\(242\) 4.12559 + 1.88409i 0.265203 + 0.121114i
\(243\) −20.4874 2.94564i −1.31427 0.188963i
\(244\) −3.45181 + 2.21834i −0.220979 + 0.142015i
\(245\) −5.42209 + 0.106482i −0.346405 + 0.00680286i
\(246\) −0.614711 4.27541i −0.0391926 0.272590i
\(247\) 12.4839 10.8174i 0.794333 0.688294i
\(248\) 9.89518 15.3972i 0.628344 0.977723i
\(249\) 23.3087 26.8996i 1.47713 1.70469i
\(250\) −5.47844 2.12168i −0.346487 0.134187i
\(251\) 1.27745 + 2.79723i 0.0806321 + 0.176560i 0.945654 0.325174i \(-0.105423\pi\)
−0.865022 + 0.501734i \(0.832696\pi\)
\(252\) 13.4593i 0.847859i
\(253\) −4.32901 + 5.97842i −0.272163 + 0.375860i
\(254\) −3.48591 −0.218725
\(255\) 3.57067 + 3.96089i 0.223604 + 0.248040i
\(256\) 1.73085 0.508224i 0.108178 0.0317640i
\(257\) −4.74288 4.10973i −0.295853 0.256358i 0.494267 0.869310i \(-0.335436\pi\)
−0.790120 + 0.612952i \(0.789982\pi\)
\(258\) −7.24557 + 11.2743i −0.451089 + 0.701909i
\(259\) −16.7489 19.3293i −1.04073 1.20106i
\(260\) 8.65608 4.16040i 0.536827 0.258017i
\(261\) −7.14673 2.09847i −0.442372 0.129892i
\(262\) −0.181094 0.281787i −0.0111880 0.0174089i
\(263\) 6.29360 + 0.904884i 0.388080 + 0.0557975i 0.333594 0.942717i \(-0.391739\pi\)
0.0544867 + 0.998514i \(0.482648\pi\)
\(264\) −2.94554 + 6.44984i −0.181286 + 0.396960i
\(265\) 1.06024 + 0.131247i 0.0651299 + 0.00806245i
\(266\) 1.52216 10.5868i 0.0933295 0.649121i
\(267\) 9.44970 + 14.7040i 0.578312 + 0.899871i
\(268\) −2.57152 + 8.75779i −0.157081 + 0.534967i
\(269\) 2.17960 + 15.1595i 0.132893 + 0.924289i 0.941757 + 0.336294i \(0.109174\pi\)
−0.808864 + 0.587995i \(0.799917\pi\)
\(270\) −1.07644 0.662291i −0.0655103 0.0403057i
\(271\) −15.5629 10.0017i −0.945379 0.607558i −0.0254636 0.999676i \(-0.508106\pi\)
−0.919915 + 0.392118i \(0.871743\pi\)
\(272\) 1.85224 + 1.60498i 0.112309 + 0.0973161i
\(273\) 5.07366 + 17.2793i 0.307072 + 1.04579i
\(274\) 3.68713 + 8.07369i 0.222748 + 0.487749i
\(275\) 6.30546 4.41142i 0.380233 0.266019i
\(276\) 15.7656 + 11.4159i 0.948975 + 0.687159i
\(277\) 11.8719i 0.713316i −0.934235 0.356658i \(-0.883916\pi\)
0.934235 0.356658i \(-0.116084\pi\)
\(278\) −4.70372 + 2.14812i −0.282111 + 0.128836i
\(279\) 22.8235 6.70157i 1.36640 0.401213i
\(280\) 5.33932 12.3264i 0.319085 0.736643i
\(281\) 21.1782 + 13.6104i 1.26339 + 0.811930i 0.988744 0.149615i \(-0.0478036\pi\)
0.274644 + 0.961546i \(0.411440\pi\)
\(282\) −5.62330 + 4.87262i −0.334863 + 0.290160i
\(283\) 27.0263 3.88580i 1.60655 0.230987i 0.720118 0.693851i \(-0.244087\pi\)
0.886429 + 0.462865i \(0.153178\pi\)
\(284\) 14.6967 + 4.31533i 0.872087 + 0.256068i
\(285\) −26.8225 22.3350i −1.58883 1.32301i
\(286\) 0.286761 1.99446i 0.0169565 0.117935i
\(287\) −9.75009 4.45272i −0.575530 0.262836i
\(288\) 11.9945 + 5.47768i 0.706780 + 0.322776i
\(289\) −2.27333 + 15.8113i −0.133725 + 0.930078i
\(290\) −2.64455 2.20211i −0.155294 0.129312i
\(291\) 9.22695 + 2.70928i 0.540894 + 0.158821i
\(292\) −6.80226 + 0.978017i −0.398072 + 0.0572341i
\(293\) −15.8403 + 13.7257i −0.925401 + 0.801864i −0.980480 0.196617i \(-0.937004\pi\)
0.0550793 + 0.998482i \(0.482459\pi\)
\(294\) 2.52417 + 1.62218i 0.147212 + 0.0946076i
\(295\) −7.22257 + 16.6741i −0.420514 + 0.970803i
\(296\) 15.6414 4.59274i 0.909139 0.266947i
\(297\) 1.50590 0.687722i 0.0873812 0.0399057i
\(298\) 0.345789i 0.0200310i
\(299\) −11.2603 3.99741i −0.651199 0.231176i
\(300\) −11.6333 16.6280i −0.671646 0.960017i
\(301\) 13.8155 + 30.2518i 0.796314 + 1.74368i
\(302\) 0.653032 + 2.22402i 0.0375778 + 0.127978i
\(303\) 14.2957 + 12.3873i 0.821269 + 0.711633i
\(304\) −13.4950 8.67268i −0.773989 0.497413i
\(305\) −4.53301 2.78897i −0.259560 0.159696i
\(306\) −0.192644 1.33987i −0.0110128 0.0765954i
\(307\) 1.58859 5.41026i 0.0906659 0.308780i −0.901657 0.432451i \(-0.857649\pi\)
0.992323 + 0.123672i \(0.0394669\pi\)
\(308\) 4.40378 + 6.85242i 0.250929 + 0.390453i
\(309\) 4.07409 28.3359i 0.231767 1.61197i
\(310\) 10.9069 + 1.35017i 0.619471 + 0.0766844i
\(311\) 1.59274 3.48762i 0.0903161 0.197765i −0.859083 0.511836i \(-0.828966\pi\)
0.949400 + 0.314071i \(0.101693\pi\)
\(312\) −11.3616 1.63354i −0.643221 0.0924813i
\(313\) −5.85616 9.11237i −0.331010 0.515061i 0.635361 0.772216i \(-0.280852\pi\)
−0.966370 + 0.257154i \(0.917215\pi\)
\(314\) −0.361399 0.106116i −0.0203949 0.00598850i
\(315\) 15.7351 7.56284i 0.886575 0.426118i
\(316\) −8.57500 9.89607i −0.482381 0.556698i
\(317\) −11.6299 + 18.0965i −0.653201 + 1.01640i 0.343803 + 0.939042i \(0.388285\pi\)
−0.997003 + 0.0773584i \(0.975351\pi\)
\(318\) −0.446709 0.387075i −0.0250502 0.0217061i
\(319\) 4.32515 1.26998i 0.242162 0.0711051i
\(320\) −3.16587 3.51185i −0.176978 0.196318i
\(321\) −28.8424 −1.60983
\(322\) −7.20513 + 2.81846i −0.401526 + 0.157067i
\(323\) 6.71589i 0.373682i
\(324\) −7.27719 15.9348i −0.404288 0.885267i
\(325\) 9.72775 + 7.78197i 0.539599 + 0.431666i
\(326\) −8.67589 + 10.0125i −0.480513 + 0.554542i
\(327\) 2.09682 3.26271i 0.115954 0.180429i
\(328\) 5.16318 4.47392i 0.285089 0.247031i
\(329\) 2.62776 + 18.2765i 0.144873 + 1.00761i
\(330\) −4.25686 + 0.0835982i −0.234332 + 0.00460193i
\(331\) −2.54261 + 1.63404i −0.139755 + 0.0898148i −0.608650 0.793439i \(-0.708289\pi\)
0.468895 + 0.883254i \(0.344652\pi\)
\(332\) 25.7961 + 3.70893i 1.41575 + 0.203554i
\(333\) 19.2719 + 8.80119i 1.05610 + 0.482302i
\(334\) 1.23235 2.69848i 0.0674313 0.147654i
\(335\) −11.6836 + 1.91470i −0.638342 + 0.104611i
\(336\) 14.7124 9.45507i 0.802626 0.515816i
\(337\) −1.01201 + 3.44658i −0.0551275 + 0.187747i −0.982454 0.186507i \(-0.940283\pi\)
0.927326 + 0.374254i \(0.122101\pi\)
\(338\) −3.53291 + 0.507956i −0.192165 + 0.0276292i
\(339\) −13.8859 16.0251i −0.754177 0.870366i
\(340\) −1.02629 + 3.76736i −0.0556586 + 0.204314i
\(341\) −9.42718 + 10.8795i −0.510510 + 0.589160i
\(342\) 2.49613 + 8.50105i 0.134975 + 0.459684i
\(343\) −12.7754 + 5.83435i −0.689809 + 0.315025i
\(344\) −21.1974 −1.14288
\(345\) −4.48753 + 24.8460i −0.241601 + 1.33766i
\(346\) 8.10651 0.435809
\(347\) 23.3033 10.6423i 1.25099 0.571307i 0.323879 0.946098i \(-0.395013\pi\)
0.927109 + 0.374791i \(0.122286\pi\)
\(348\) −3.34903 11.4057i −0.179527 0.611412i
\(349\) −17.5804 + 20.2888i −0.941055 + 1.08604i 0.0551047 + 0.998481i \(0.482451\pi\)
−0.996160 + 0.0875548i \(0.972095\pi\)
\(350\) 8.05992 0.316691i 0.430821 0.0169279i
\(351\) 1.75500 + 2.02538i 0.0936750 + 0.108107i
\(352\) −7.89887 + 1.13569i −0.421011 + 0.0605322i
\(353\) −7.57423 + 25.7955i −0.403135 + 1.37295i 0.468788 + 0.883311i \(0.344691\pi\)
−0.871923 + 0.489643i \(0.837127\pi\)
\(354\) 8.45766 5.43541i 0.449519 0.288889i
\(355\) 3.21310 + 19.6065i 0.170534 + 1.04061i
\(356\) −5.31644 + 11.6414i −0.281771 + 0.616992i
\(357\) −6.66009 3.04156i −0.352490 0.160977i
\(358\) 12.9536 + 1.86244i 0.684618 + 0.0984331i
\(359\) 9.14059 5.87430i 0.482422 0.310034i −0.276729 0.960948i \(-0.589251\pi\)
0.759151 + 0.650914i \(0.225614\pi\)
\(360\) 0.218485 + 11.1254i 0.0115152 + 0.586358i
\(361\) −3.55175 24.7030i −0.186934 1.30016i
\(362\) 3.27809 2.84048i 0.172293 0.149292i
\(363\) −10.9865 + 17.0953i −0.576641 + 0.897271i
\(364\) −8.63502 + 9.96534i −0.452598 + 0.522326i
\(365\) −4.96560 7.40288i −0.259911 0.387485i
\(366\) 1.22326 + 2.67857i 0.0639410 + 0.140011i
\(367\) 8.18732i 0.427375i −0.976902 0.213687i \(-0.931453\pi\)
0.976902 0.213687i \(-0.0685474\pi\)
\(368\) −0.643949 + 11.5858i −0.0335682 + 0.603950i
\(369\) 8.87900 0.462223
\(370\) 6.55423 + 7.27049i 0.340738 + 0.377975i
\(371\) −1.40738 + 0.413243i −0.0730673 + 0.0214545i
\(372\) 28.6902 + 24.8602i 1.48752 + 1.28894i
\(373\) 9.68809 15.0750i 0.501630 0.780552i −0.494431 0.869217i \(-0.664624\pi\)
0.996062 + 0.0886647i \(0.0282600\pi\)
\(374\) 0.536474 + 0.619124i 0.0277404 + 0.0320141i
\(375\) 12.9028 22.9436i 0.666298 1.18480i
\(376\) −11.2921 3.31565i −0.582344 0.170991i
\(377\) 3.94517 + 6.13880i 0.203186 + 0.316164i
\(378\) 1.71760 + 0.246953i 0.0883436 + 0.0127019i
\(379\) 0.532421 1.16584i 0.0273486 0.0598852i −0.895465 0.445132i \(-0.853157\pi\)
0.922813 + 0.385247i \(0.125884\pi\)
\(380\) 3.13972 25.3632i 0.161064 1.30110i
\(381\) 2.22278 15.4597i 0.113876 0.792027i
\(382\) −4.58328 7.13172i −0.234501 0.364891i
\(383\) 2.22024 7.56145i 0.113449 0.386372i −0.883119 0.469149i \(-0.844561\pi\)
0.996568 + 0.0827770i \(0.0263789\pi\)
\(384\) 3.84689 + 26.7557i 0.196311 + 1.36537i
\(385\) −5.53658 + 8.99880i −0.282170 + 0.458621i
\(386\) 5.33075 + 3.42587i 0.271328 + 0.174372i
\(387\) −20.8202 18.0408i −1.05835 0.917065i
\(388\) 1.98373 + 6.75598i 0.100709 + 0.342983i
\(389\) −3.37997 7.40110i −0.171371 0.375251i 0.804386 0.594107i \(-0.202495\pi\)
−0.975757 + 0.218857i \(0.929767\pi\)
\(390\) −2.07129 6.57380i −0.104884 0.332877i
\(391\) 4.22623 2.39556i 0.213729 0.121149i
\(392\) 4.74580i 0.239699i
\(393\) 1.36518 0.623456i 0.0688642 0.0314492i
\(394\) 10.4884 3.07967i 0.528397 0.155151i
\(395\) 6.75106 15.5856i 0.339683 0.784194i
\(396\) −5.67630 3.64793i −0.285245 0.183316i
\(397\) −10.1351 + 8.78210i −0.508665 + 0.440761i −0.870997 0.491288i \(-0.836526\pi\)
0.362332 + 0.932049i \(0.381981\pi\)
\(398\) −3.61430 + 0.519658i −0.181169 + 0.0260481i
\(399\) 45.9813 + 13.5013i 2.30194 + 0.675911i
\(400\) 4.58961 11.1932i 0.229481 0.559662i
\(401\) 1.28352 8.92707i 0.0640959 0.445797i −0.932350 0.361558i \(-0.882245\pi\)
0.996446 0.0842389i \(-0.0268459\pi\)
\(402\) 5.95850 + 2.72116i 0.297183 + 0.135719i
\(403\) −21.1981 9.68083i −1.05595 0.482236i
\(404\) −1.97110 + 13.7093i −0.0980659 + 0.682063i
\(405\) 14.5401 17.4615i 0.722504 0.867668i
\(406\) 4.53351 + 1.33116i 0.224994 + 0.0660643i
\(407\) −12.6914 + 1.82475i −0.629089 + 0.0904494i
\(408\) 3.52687 3.05605i 0.174606 0.151297i
\(409\) 10.8926 + 7.00028i 0.538606 + 0.346141i 0.781494 0.623913i \(-0.214458\pi\)
−0.242887 + 0.970055i \(0.578094\pi\)
\(410\) 3.76433 + 1.63056i 0.185907 + 0.0805278i
\(411\) −38.1573 + 11.2040i −1.88216 + 0.552652i
\(412\) 19.0667 8.70748i 0.939350 0.428987i
\(413\) 24.9485i 1.22764i
\(414\) 4.45923 4.60312i 0.219159 0.226231i
\(415\) 10.1589 + 32.2420i 0.498680 + 1.58270i
\(416\) −5.36646 11.7509i −0.263112 0.576135i
\(417\) −6.52744 22.2304i −0.319650 1.08863i
\(418\) −4.05230 3.51134i −0.198205 0.171745i
\(419\) −29.6874 19.0790i −1.45033 0.932068i −0.999216 0.0396003i \(-0.987392\pi\)
−0.451111 0.892468i \(-0.648972\pi\)
\(420\) 23.7305 + 14.6004i 1.15793 + 0.712426i
\(421\) −1.72809 12.0192i −0.0842222 0.585778i −0.987607 0.156947i \(-0.949835\pi\)
0.903385 0.428831i \(-0.141074\pi\)
\(422\) 0.546731 1.86199i 0.0266144 0.0906405i
\(423\) −8.26923 12.8672i −0.402064 0.625624i
\(424\) 0.133050 0.925383i 0.00646148 0.0449406i
\(425\) −4.98105 + 0.917064i −0.241616 + 0.0444841i
\(426\) 4.56644 9.99911i 0.221245 0.484458i
\(427\) 7.23297 + 1.03994i 0.350028 + 0.0503264i
\(428\) −11.4175 17.7659i −0.551885 0.858749i
\(429\) 8.66245 + 2.54352i 0.418227 + 0.122803i
\(430\) −5.51385 11.4720i −0.265901 0.553231i
\(431\) −0.506299 0.584300i −0.0243876 0.0281448i 0.743425 0.668820i \(-0.233200\pi\)
−0.767812 + 0.640675i \(0.778655\pi\)
\(432\) 1.40705 2.18941i 0.0676965 0.105338i
\(433\) 1.30139 + 1.12766i 0.0625407 + 0.0541918i 0.685570 0.728006i \(-0.259553\pi\)
−0.623030 + 0.782198i \(0.714098\pi\)
\(434\) −14.4780 + 4.25112i −0.694966 + 0.204060i
\(435\) 11.4525 10.3242i 0.549105 0.495009i
\(436\) 2.83976 0.136000
\(437\) −25.1486 + 19.4566i −1.20302 + 0.930734i
\(438\) 4.93190i 0.235655i
\(439\) 10.6923 + 23.4129i 0.510315 + 1.11743i 0.972977 + 0.230900i \(0.0741671\pi\)
−0.462662 + 0.886535i \(0.653106\pi\)
\(440\) −3.75136 5.59265i −0.178839 0.266619i
\(441\) −4.03909 + 4.66136i −0.192337 + 0.221969i
\(442\) −0.716978 + 1.11564i −0.0341032 + 0.0530656i
\(443\) −1.69719 + 1.47062i −0.0806358 + 0.0698713i −0.694246 0.719738i \(-0.744262\pi\)
0.613610 + 0.789609i \(0.289717\pi\)
\(444\) 4.81200 + 33.4682i 0.228367 + 1.58833i
\(445\) −16.5971 + 0.325942i −0.786779 + 0.0154512i
\(446\) −2.23426 + 1.43587i −0.105795 + 0.0679905i
\(447\) 1.53355 + 0.220491i 0.0725343 + 0.0104289i
\(448\) 5.90505 + 2.69675i 0.278987 + 0.127409i
\(449\) −2.53888 + 5.55938i −0.119817 + 0.262363i −0.960032 0.279891i \(-0.909702\pi\)
0.840215 + 0.542254i \(0.182429\pi\)
\(450\) −5.96422 + 3.01217i −0.281156 + 0.141995i
\(451\) −4.52048 + 2.90513i −0.212861 + 0.136797i
\(452\) 4.37412 14.8969i 0.205741 0.700691i
\(453\) −10.2798 + 1.47801i −0.482987 + 0.0694430i
\(454\) −3.91881 4.52255i −0.183919 0.212254i
\(455\) −16.5024 4.49554i −0.773645 0.210754i
\(456\) −20.0025 + 23.0841i −0.936703 + 1.08101i
\(457\) −7.20377 24.5338i −0.336978 1.14764i −0.937486 0.348024i \(-0.886853\pi\)
0.600507 0.799619i \(-0.294965\pi\)
\(458\) 7.87386 3.59587i 0.367921 0.168024i
\(459\) −1.08958 −0.0508571
\(460\) −17.0807 + 7.07129i −0.796391 + 0.329701i
\(461\) −4.39468 −0.204681 −0.102340 0.994749i \(-0.532633\pi\)
−0.102340 + 0.994749i \(0.532633\pi\)
\(462\) 5.31742 2.42838i 0.247389 0.112979i
\(463\) 0.762267 + 2.59604i 0.0354256 + 0.120648i 0.975308 0.220851i \(-0.0708835\pi\)
−0.939882 + 0.341499i \(0.889065\pi\)
\(464\) 4.64063 5.35557i 0.215436 0.248626i
\(465\) −12.9426 + 47.5104i −0.600201 + 2.20324i
\(466\) 2.21689 + 2.55843i 0.102695 + 0.118517i
\(467\) −0.202233 + 0.0290767i −0.00935823 + 0.00134551i −0.146992 0.989138i \(-0.546959\pi\)
0.137634 + 0.990483i \(0.456050\pi\)
\(468\) 3.07732 10.4804i 0.142249 0.484456i
\(469\) 13.6748 8.78824i 0.631442 0.405803i
\(470\) −1.14285 6.97374i −0.0527159 0.321675i
\(471\) 0.701063 1.53511i 0.0323033 0.0707343i
\(472\) 14.4646 + 6.60577i 0.665788 + 0.304055i
\(473\) 16.5028 + 2.37274i 0.758798 + 0.109099i
\(474\) −7.90552 + 5.08057i −0.363112 + 0.233358i
\(475\) 31.4160 10.5811i 1.44147 0.485492i
\(476\) −0.762947 5.30642i −0.0349696 0.243219i
\(477\) 0.918264 0.795680i 0.0420444 0.0364317i
\(478\) −8.19502 + 12.7517i −0.374831 + 0.583249i
\(479\) 15.0671 17.3884i 0.688434 0.794496i −0.298707 0.954345i \(-0.596555\pi\)
0.987141 + 0.159849i \(0.0511008\pi\)
\(480\) −22.6692 + 15.2057i −1.03470 + 0.694042i
\(481\) −8.62248 18.8806i −0.393151 0.860881i
\(482\) 5.45575i 0.248503i
\(483\) −7.90535 33.7514i −0.359706 1.53574i
\(484\) −14.8792 −0.676327
\(485\) −6.78366 + 6.11536i −0.308030 + 0.277684i
\(486\) −10.4356 + 3.06418i −0.473370 + 0.138994i
\(487\) 5.04925 + 4.37520i 0.228803 + 0.198259i 0.761716 0.647911i \(-0.224357\pi\)
−0.532913 + 0.846170i \(0.678903\pi\)
\(488\) −2.51805 + 3.91817i −0.113987 + 0.177367i
\(489\) −38.8726 44.8614i −1.75788 2.02870i
\(490\) −2.56843 + 1.23447i −0.116030 + 0.0557679i
\(491\) 33.2530 + 9.76397i 1.50069 + 0.440642i 0.925934 0.377685i \(-0.123280\pi\)
0.574754 + 0.818326i \(0.305098\pi\)
\(492\) 7.66107 + 11.9209i 0.345388 + 0.537433i
\(493\) −2.93659 0.422218i −0.132257 0.0190157i
\(494\) 3.60582 7.89564i 0.162233 0.355241i
\(495\) 1.07523 8.68587i 0.0483278 0.390401i
\(496\) −3.22071 + 22.4005i −0.144614 + 1.00581i
\(497\) −14.7478 22.9480i −0.661528 1.02936i
\(498\) 5.26930 17.9456i 0.236123 0.804162i
\(499\) −4.70441 32.7199i −0.210598 1.46474i −0.771166 0.636634i \(-0.780326\pi\)
0.560568 0.828109i \(-0.310583\pi\)
\(500\) 19.2401 1.13471i 0.860445 0.0507457i
\(501\) 11.1817 + 7.18606i 0.499563 + 0.321050i
\(502\) 1.22120 + 1.05818i 0.0545050 + 0.0472289i
\(503\) −4.54106 15.4654i −0.202476 0.689569i −0.996643 0.0818698i \(-0.973911\pi\)
0.794167 0.607699i \(-0.207907\pi\)
\(504\) −6.34662 13.8972i −0.282701 0.619029i
\(505\) −17.1349 + 5.39891i −0.762495 + 0.240248i
\(506\) −0.764183 + 3.80256i −0.0339721 + 0.169045i
\(507\) 15.9921i 0.710234i
\(508\) 10.4026 4.75070i 0.461540 0.210778i
\(509\) 11.0638 3.24862i 0.490393 0.143993i −0.0271813 0.999631i \(-0.508653\pi\)
0.517575 + 0.855638i \(0.326835\pi\)
\(510\) 2.57134 + 1.11381i 0.113861 + 0.0493202i
\(511\) 10.2959 + 6.61676i 0.455463 + 0.292708i
\(512\) −16.6372 + 14.4162i −0.735268 + 0.637113i
\(513\) 7.05894 1.01492i 0.311660 0.0448099i
\(514\) −3.16413 0.929072i −0.139564 0.0409796i
\(515\) 20.8935 + 17.3979i 0.920676 + 0.766644i
\(516\) 6.25710 43.5191i 0.275453 1.91582i
\(517\) 8.42006 + 3.84531i 0.370314 + 0.169117i
\(518\) −12.2251 5.58301i −0.537139 0.245303i
\(519\) −5.16909 + 35.9518i −0.226898 + 1.57811i
\(520\) 6.97585 8.37743i 0.305911 0.367374i
\(521\) 18.7400 + 5.50256i 0.821014 + 0.241072i 0.665153 0.746707i \(-0.268366\pi\)
0.155862 + 0.987779i \(0.450185\pi\)
\(522\) −3.87410 + 0.557011i −0.169565 + 0.0243797i
\(523\) 7.20785 6.24564i 0.315177 0.273103i −0.482877 0.875688i \(-0.660408\pi\)
0.798054 + 0.602585i \(0.205863\pi\)
\(524\) 0.924444 + 0.594104i 0.0403845 + 0.0259536i
\(525\) −3.73487 + 35.9471i −0.163003 + 1.56886i
\(526\) 3.20577 0.941299i 0.139778 0.0410426i
\(527\) 8.61839 3.93589i 0.375423 0.171450i
\(528\) 8.76739i 0.381552i
\(529\) 21.2143 + 8.88554i 0.922361 + 0.386328i
\(530\) 0.535427 0.168703i 0.0232575 0.00732801i
\(531\) 8.58516 + 18.7989i 0.372564 + 0.815802i
\(532\) 9.88567 + 33.6675i 0.428598 + 1.45967i
\(533\) −6.57405 5.69644i −0.284754 0.246740i
\(534\) 7.72652 + 4.96553i 0.334359 + 0.214880i
\(535\) 14.3544 23.3308i 0.620596 1.00868i
\(536\) 1.47448 + 10.2553i 0.0636879 + 0.442959i
\(537\) −16.5196 + 56.2606i −0.712873 + 2.42782i
\(538\) 4.35095 + 6.77021i 0.187583 + 0.291884i
\(539\) 0.531224 3.69474i 0.0228814 0.159144i
\(540\) 4.11489 + 0.509384i 0.177077 + 0.0219204i
\(541\) 15.3460 33.6032i 0.659778 1.44471i −0.222951 0.974830i \(-0.571569\pi\)
0.882729 0.469883i \(-0.155704\pi\)
\(542\) −9.62207 1.38344i −0.413303 0.0594240i
\(543\) 10.5071 + 16.3493i 0.450901 + 0.701616i
\(544\) 5.03938 + 1.47970i 0.216062 + 0.0634414i
\(545\) 1.59567 + 3.31993i 0.0683510 + 0.142210i
\(546\) 6.19700 + 7.15172i 0.265207 + 0.306065i
\(547\) −3.28103 + 5.10538i −0.140287 + 0.218290i −0.904287 0.426926i \(-0.859596\pi\)
0.764000 + 0.645216i \(0.223233\pi\)
\(548\) −22.0061 19.0684i −0.940055 0.814562i
\(549\) −5.80795 + 1.70537i −0.247877 + 0.0727833i
\(550\) 2.05095 3.48500i 0.0874527 0.148601i
\(551\) 19.4183 0.827247
\(552\) 21.6615 + 4.35320i 0.921973 + 0.185285i
\(553\) 23.3198i 0.991660i
\(554\) −2.59151 5.67461i −0.110103 0.241091i
\(555\) −36.4234 + 24.4315i −1.54609 + 1.03706i
\(556\) 11.1092 12.8207i 0.471137 0.543721i
\(557\) −12.3856 + 19.2723i −0.524793 + 0.816595i −0.997924 0.0643976i \(-0.979487\pi\)
0.473131 + 0.880992i \(0.343124\pi\)
\(558\) 9.44639 8.18534i 0.399897 0.346513i
\(559\) 3.84103 + 26.7149i 0.162458 + 1.12992i
\(560\) 0.326128 + 16.6066i 0.0137814 + 0.701755i
\(561\) −3.08785 + 1.98444i −0.130369 + 0.0837831i
\(562\) 13.0939 + 1.88261i 0.552332 + 0.0794133i
\(563\) −13.3397 6.09204i −0.562201 0.256749i 0.113981 0.993483i \(-0.463640\pi\)
−0.676182 + 0.736734i \(0.736367\pi\)
\(564\) 10.1404 22.2044i 0.426987 0.934972i
\(565\) 19.8736 3.25688i 0.836089 0.137018i
\(566\) 12.0699 7.75687i 0.507337 0.326046i
\(567\) −8.78939 + 29.9339i −0.369120 + 1.25711i
\(568\) 17.2096 2.47437i 0.722099 0.103822i
\(569\) −8.74206 10.0889i −0.366486 0.422948i 0.542316 0.840175i \(-0.317548\pi\)
−0.908802 + 0.417227i \(0.863002\pi\)
\(570\) −17.6962 4.82075i −0.741212 0.201919i
\(571\) −19.9506 + 23.0243i −0.834908 + 0.963536i −0.999740 0.0227861i \(-0.992746\pi\)
0.164832 + 0.986322i \(0.447292\pi\)
\(572\) 1.86237 + 6.34265i 0.0778696 + 0.265199i
\(573\) 34.5512 15.7790i 1.44340 0.659177i
\(574\) −5.63237 −0.235091
\(575\) −17.8647 15.9954i −0.745007 0.667056i
\(576\) −5.37748 −0.224062
\(577\) 5.92612 2.70637i 0.246708 0.112668i −0.288224 0.957563i \(-0.593065\pi\)
0.534931 + 0.844896i \(0.320337\pi\)
\(578\) 2.36481 + 8.05381i 0.0983632 + 0.334994i
\(579\) −18.5926 + 21.4570i −0.772682 + 0.891723i
\(580\) 10.8929 + 2.96742i 0.452304 + 0.123215i
\(581\) −30.3940 35.0765i −1.26095 1.45522i
\(582\) 5.00174 0.719142i 0.207329 0.0298094i
\(583\) −0.207167 + 0.705545i −0.00857996 + 0.0292207i
\(584\) −6.56235 + 4.21737i −0.271552 + 0.174516i
\(585\) 13.9816 2.29131i 0.578070 0.0947338i
\(586\) −4.57526 + 10.0184i −0.189002 + 0.413857i
\(587\) −13.8185 6.31069i −0.570350 0.260470i 0.109298 0.994009i \(-0.465140\pi\)
−0.679647 + 0.733539i \(0.737867\pi\)
\(588\) −9.74333 1.40088i −0.401808 0.0577713i
\(589\) −52.1689 + 33.5269i −2.14958 + 1.38145i
\(590\) 0.187480 + 9.54656i 0.00771843 + 0.393026i
\(591\) 6.97022 + 48.4789i 0.286717 + 1.99416i
\(592\) −15.2335 + 13.1999i −0.626092 + 0.542512i
\(593\) 17.9256 27.8928i 0.736116 1.14542i −0.248149 0.968722i \(-0.579822\pi\)
0.984265 0.176697i \(-0.0565413\pi\)
\(594\) 0.569676 0.657441i 0.0233741 0.0269751i
\(595\) 5.77496 3.87364i 0.236750 0.158804i
\(596\) 0.471251 + 1.03190i 0.0193032 + 0.0422681i
\(597\) 16.3605i 0.669592i
\(598\) −6.25483 + 0.547285i −0.255779 + 0.0223801i
\(599\) 36.1116 1.47548 0.737740 0.675085i \(-0.235893\pi\)
0.737740 + 0.675085i \(0.235893\pi\)
\(600\) −19.8524 11.6833i −0.810472 0.476969i
\(601\) 18.2738 5.36568i 0.745405 0.218871i 0.113093 0.993584i \(-0.463924\pi\)
0.632312 + 0.774714i \(0.282106\pi\)
\(602\) 13.2072 + 11.4441i 0.538286 + 0.466428i
\(603\) −7.27986 + 11.3277i −0.296459 + 0.461299i
\(604\) −4.97973 5.74692i −0.202622 0.233839i
\(605\) −8.36067 17.3951i −0.339910 0.707211i
\(606\) 9.53715 + 2.80036i 0.387420 + 0.113757i
\(607\) 3.45175 + 5.37103i 0.140102 + 0.218004i 0.904213 0.427082i \(-0.140458\pi\)
−0.764111 + 0.645085i \(0.776822\pi\)
\(608\) −34.0265 4.89227i −1.37996 0.198408i
\(609\) −8.79436 + 19.2570i −0.356366 + 0.780332i
\(610\) −2.77551 0.343581i −0.112377 0.0139112i
\(611\) −2.13254 + 14.8321i −0.0862733 + 0.600044i
\(612\) 2.40090 + 3.73588i 0.0970507 + 0.151014i
\(613\) −0.242639 + 0.826353i −0.00980010 + 0.0333761i −0.964248 0.265002i \(-0.914627\pi\)
0.954448 + 0.298378i \(0.0964456\pi\)
\(614\) −0.421672 2.93279i −0.0170173 0.118358i
\(615\) −9.63174 + 15.6548i −0.388389 + 0.631263i
\(616\) 7.77822 + 4.99876i 0.313393 + 0.201406i
\(617\) 2.20182 + 1.90789i 0.0886418 + 0.0768086i 0.698055 0.716045i \(-0.254049\pi\)
−0.609413 + 0.792853i \(0.708595\pi\)
\(618\) −4.23805 14.4335i −0.170479 0.580599i
\(619\) −15.8446 34.6948i −0.636848 1.39450i −0.902608 0.430463i \(-0.858350\pi\)
0.265760 0.964039i \(-0.414377\pi\)
\(620\) −34.3882 + 10.8351i −1.38106 + 0.435148i
\(621\) −3.15661 4.08008i −0.126670 0.163728i
\(622\) 2.01470i 0.0807822i
\(623\) 20.7322 9.46807i 0.830617 0.379330i
\(624\) 13.6179 3.99857i 0.545152 0.160071i
\(625\) 12.1377 + 21.8558i 0.485507 + 0.874233i
\(626\) −4.78828 3.07724i −0.191378 0.122991i
\(627\) 18.1565 15.7327i 0.725100 0.628302i
\(628\) 1.22310 0.175855i 0.0488070 0.00701738i
\(629\) 8.09696 + 2.37748i 0.322847 + 0.0947964i
\(630\) 5.87028 7.04972i 0.233877 0.280868i
\(631\) −5.07436 + 35.2929i −0.202007 + 1.40499i 0.596311 + 0.802753i \(0.296632\pi\)
−0.798318 + 0.602236i \(0.794277\pi\)
\(632\) −13.5203 6.17453i −0.537810 0.245609i
\(633\) 7.90919 + 3.61200i 0.314362 + 0.143564i
\(634\) −1.60867 + 11.1885i −0.0638883 + 0.444353i
\(635\) 11.3992 + 9.49210i 0.452364 + 0.376682i
\(636\) 1.86058 + 0.546314i 0.0737766 + 0.0216628i
\(637\) 5.98111 0.859954i 0.236980 0.0340726i
\(638\) 1.79013 1.55116i 0.0708720 0.0614109i
\(639\) 19.0093 + 12.2165i 0.751996 + 0.483278i
\(640\) −23.5573 10.2041i −0.931185 0.403353i
\(641\) −34.3483 + 10.0856i −1.35668 + 0.398357i −0.877591 0.479411i \(-0.840850\pi\)
−0.479087 + 0.877767i \(0.659032\pi\)
\(642\) −13.7862 + 6.29596i −0.544099 + 0.248482i
\(643\) 32.2543i 1.27198i 0.771695 + 0.635992i \(0.219409\pi\)
−0.771695 + 0.635992i \(0.780591\pi\)
\(644\) 17.6603 18.2302i 0.695914 0.718369i
\(645\) 54.3935 17.1384i 2.14174 0.674824i
\(646\) 1.46600 + 3.21009i 0.0576790 + 0.126299i
\(647\) −7.66212 26.0948i −0.301229 1.02589i −0.961486 0.274853i \(-0.911371\pi\)
0.660257 0.751040i \(-0.270447\pi\)
\(648\) −15.0278 13.0217i −0.590348 0.511540i
\(649\) −10.5217 6.76189i −0.413013 0.265428i
\(650\) 6.34843 + 1.59621i 0.249006 + 0.0626084i
\(651\) −9.62158 66.9195i −0.377099 2.62278i
\(652\) 12.2451 41.7029i 0.479554 1.63321i
\(653\) −19.6286 30.5427i −0.768128 1.19523i −0.976148 0.217106i \(-0.930338\pi\)
0.208020 0.978124i \(-0.433298\pi\)
\(654\) 0.290035 2.01724i 0.0113413 0.0788802i
\(655\) −0.175112 + 1.41458i −0.00684219 + 0.0552724i
\(656\) −3.50920 + 7.68408i −0.137011 + 0.300013i
\(657\) −10.0349 1.44281i −0.391500 0.0562892i
\(658\) 5.24556 + 8.16225i 0.204493 + 0.318198i
\(659\) 8.72342 + 2.56143i 0.339816 + 0.0997791i 0.447188 0.894440i \(-0.352425\pi\)
−0.107372 + 0.994219i \(0.534244\pi\)
\(660\) 12.5893 6.05084i 0.490038 0.235529i
\(661\) 7.75591 + 8.95079i 0.301670 + 0.348145i 0.886264 0.463180i \(-0.153292\pi\)
−0.584594 + 0.811326i \(0.698746\pi\)
\(662\) −0.858638 + 1.33607i −0.0333719 + 0.0519277i
\(663\) −4.49060 3.89113i −0.174400 0.151119i
\(664\) 28.3842 8.33435i 1.10152 0.323435i
\(665\) −33.8055 + 30.4751i −1.31092 + 1.18177i
\(666\) 11.1329 0.431390
\(667\) −6.92652 12.2197i −0.268196 0.473148i
\(668\) 9.73222i 0.376551i
\(669\) −4.94332 10.8244i −0.191120 0.418494i
\(670\) −5.16661 + 3.46558i −0.199604 + 0.133887i
\(671\) 2.39896 2.76855i 0.0926108 0.106879i
\(672\) 20.2619 31.5281i 0.781619 1.21622i
\(673\) −1.91911 + 1.66292i −0.0739764 + 0.0641009i −0.691064 0.722793i \(-0.742858\pi\)
0.617088 + 0.786894i \(0.288312\pi\)
\(674\) 0.268624 + 1.86832i 0.0103470 + 0.0719649i
\(675\) 1.71666 + 5.09690i 0.0660742 + 0.196180i
\(676\) 9.85058 6.33059i 0.378869 0.243484i
\(677\) 23.8649 + 3.43125i 0.917201 + 0.131874i 0.584719 0.811236i \(-0.301205\pi\)
0.332482 + 0.943109i \(0.392114\pi\)
\(678\) −10.1353 4.62865i −0.389245 0.177762i
\(679\) 5.20917 11.4065i 0.199910 0.437741i
\(680\) 0.716784 + 4.37385i 0.0274874 + 0.167729i
\(681\) 22.5560 14.4959i 0.864348 0.555482i
\(682\) −2.13117 + 7.25810i −0.0816067 + 0.277927i
\(683\) 7.78103 1.11874i 0.297733 0.0428075i 0.00817029 0.999967i \(-0.497399\pi\)
0.289562 + 0.957159i \(0.406490\pi\)
\(684\) −19.0344 21.9669i −0.727798 0.839924i
\(685\) 9.92734 36.4417i 0.379304 1.39236i
\(686\) −4.83289 + 5.57746i −0.184521 + 0.212948i
\(687\) 10.9267 + 37.2129i 0.416879 + 1.41976i
\(688\) 23.8415 10.8881i 0.908950 0.415104i
\(689\) −1.19037 −0.0453493
\(690\) 3.27861 + 12.8556i 0.124815 + 0.489403i
\(691\) 2.06699 0.0786319 0.0393159 0.999227i \(-0.487482\pi\)
0.0393159 + 0.999227i \(0.487482\pi\)
\(692\) −24.1913 + 11.0478i −0.919615 + 0.419974i
\(693\) 3.38544 + 11.5298i 0.128602 + 0.437979i
\(694\) 8.81555 10.1737i 0.334634 0.386188i
\(695\) 21.2309 + 5.78366i 0.805334 + 0.219387i
\(696\) −8.83624 10.1976i −0.334937 0.386538i
\(697\) 3.50059 0.503310i 0.132594 0.0190642i
\(698\) −3.97433 + 13.5353i −0.150431 + 0.512320i
\(699\) −12.7600 + 8.20037i −0.482628 + 0.310166i
\(700\) −23.6207 + 11.9294i −0.892777 + 0.450887i
\(701\) 14.2799 31.2686i 0.539344 1.18100i −0.422239 0.906484i \(-0.638756\pi\)
0.961583 0.274514i \(-0.0885169\pi\)
\(702\) 1.28098 + 0.585003i 0.0483474 + 0.0220795i
\(703\) −54.6716 7.86058i −2.06198 0.296467i
\(704\) 2.73778 1.75947i 0.103184 0.0663124i
\(705\) 31.6568 0.621691i 1.19226 0.0234142i
\(706\) 2.01048 + 13.9832i 0.0756654 + 0.526264i
\(707\) 18.6413 16.1528i 0.701079 0.607488i
\(708\) −17.8316 + 27.7466i −0.670154 + 1.04278i
\(709\) 6.80487 7.85324i 0.255562 0.294935i −0.613441 0.789740i \(-0.710215\pi\)
0.869004 + 0.494806i \(0.164761\pi\)
\(710\) 5.81568 + 8.67022i 0.218259 + 0.325388i
\(711\) −8.02470 17.5716i −0.300950 0.658988i
\(712\) 14.5270i 0.544422i
\(713\) 39.7068 + 20.8702i 1.48703 + 0.781594i
\(714\) −3.84736 −0.143984
\(715\) −6.36864 + 5.74123i −0.238174 + 0.214710i
\(716\) −41.1940 + 12.0956i −1.53949 + 0.452035i
\(717\) −51.3273 44.4754i −1.91685 1.66096i
\(718\) 3.08677 4.80311i 0.115197 0.179250i
\(719\) −5.56998 6.42810i −0.207725 0.239728i 0.642321 0.766436i \(-0.277972\pi\)
−0.850046 + 0.526708i \(0.823426\pi\)
\(720\) −5.96030 12.4009i −0.222127 0.462155i
\(721\) −35.8173 10.5169i −1.33390 0.391670i
\(722\) −7.09005 11.0323i −0.263864 0.410581i
\(723\) 24.1959 + 3.47884i 0.899854 + 0.129379i
\(724\) −5.91132 + 12.9440i −0.219692 + 0.481059i
\(725\) 2.65159 + 14.4022i 0.0984777 + 0.534884i
\(726\) −1.51967 + 10.5695i −0.0564001 + 0.392271i
\(727\) 0.180663 + 0.281118i 0.00670043 + 0.0104261i 0.844588 0.535417i \(-0.179846\pi\)
−0.837887 + 0.545843i \(0.816209\pi\)
\(728\) −4.21685 + 14.3613i −0.156287 + 0.532264i
\(729\) −2.59661 18.0598i −0.0961708 0.668883i
\(730\) −3.98944 2.45453i −0.147656 0.0908463i
\(731\) −9.23112 5.93248i −0.341425 0.219421i
\(732\) −7.30088 6.32624i −0.269848 0.233825i
\(733\) −8.10144 27.5910i −0.299233 1.01910i −0.962628 0.270826i \(-0.912703\pi\)
0.663395 0.748270i \(-0.269115\pi\)
\(734\) −1.78720 3.91341i −0.0659666 0.144447i
\(735\) −3.83705 12.1780i −0.141532 0.449191i
\(736\) 9.05863 + 23.1575i 0.333905 + 0.853597i
\(737\) 8.14906i 0.300175i
\(738\) 4.24403 1.93818i 0.156225 0.0713455i
\(739\) 36.4744 10.7099i 1.34173 0.393968i 0.469445 0.882962i \(-0.344454\pi\)
0.872288 + 0.488993i \(0.162636\pi\)
\(740\) −29.4675 12.7642i −1.08325 0.469220i
\(741\) 32.7173 + 21.0262i 1.20190 + 0.772415i
\(742\) −0.582498 + 0.504737i −0.0213842 + 0.0185295i
\(743\) −16.2257 + 2.33291i −0.595264 + 0.0855860i −0.433361 0.901221i \(-0.642672\pi\)
−0.161903 + 0.986807i \(0.551763\pi\)
\(744\) 41.3461 + 12.1403i 1.51582 + 0.445085i
\(745\) −0.941579 + 1.13076i −0.0344968 + 0.0414278i
\(746\) 1.34007 9.32039i 0.0490635 0.341244i
\(747\) 34.9724 + 15.9714i 1.27957 + 0.584361i
\(748\) −2.44469 1.11645i −0.0893869 0.0408216i
\(749\) −5.35244 + 37.2270i −0.195574 + 1.36025i
\(750\) 1.15902 13.7832i 0.0423214 0.503292i
\(751\) −43.4954 12.7714i −1.58717 0.466035i −0.635230 0.772323i \(-0.719095\pi\)
−0.951939 + 0.306288i \(0.900913\pi\)
\(752\) 14.4037 2.07094i 0.525250 0.0755196i
\(753\) −5.47165 + 4.74121i −0.199398 + 0.172779i
\(754\) 3.22575 + 2.07307i 0.117475 + 0.0754966i
\(755\) 3.92052 9.05095i 0.142682 0.329398i
\(756\) −5.46217 + 1.60384i −0.198657 + 0.0583310i
\(757\) −17.9408 + 8.19331i −0.652071 + 0.297791i −0.713850 0.700299i \(-0.753050\pi\)
0.0617787 + 0.998090i \(0.480323\pi\)
\(758\) 0.673475i 0.0244617i
\(759\) −16.3768 5.81379i −0.594441 0.211027i
\(760\) −8.71792 27.6687i −0.316232 1.00365i
\(761\) 0.991707 + 2.17153i 0.0359493 + 0.0787181i 0.926755 0.375667i \(-0.122586\pi\)
−0.890805 + 0.454385i \(0.849859\pi\)
\(762\) −2.31223 7.87472i −0.0837632 0.285271i
\(763\) −3.82208 3.31185i −0.138369 0.119897i
\(764\) 23.3966 + 15.0361i 0.846461 + 0.543987i
\(765\) −3.01849 + 4.90607i −0.109134 + 0.177379i
\(766\) −0.589334 4.09891i −0.0212935 0.148100i
\(767\) 5.70419 19.4267i 0.205966 0.701457i
\(768\) 2.29617 + 3.57291i 0.0828559 + 0.128926i
\(769\) 0.273803 1.90434i 0.00987359 0.0686723i −0.984289 0.176565i \(-0.943501\pi\)
0.994163 + 0.107893i \(0.0344104\pi\)
\(770\) −0.682067 + 5.50986i −0.0245800 + 0.198561i
\(771\) 6.13796 13.4403i 0.221053 0.484039i
\(772\) −20.5768 2.95850i −0.740575 0.106479i
\(773\) 26.9567 + 41.9454i 0.969565 + 1.50867i 0.857186 + 0.515006i \(0.172210\pi\)