Properties

Label 150.2.l.a.23.1
Level 150
Weight 2
Character 150.23
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 23.1
Character \(\chi\) = 150.23
Dual form 150.2.l.a.137.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.987688 - 0.156434i) q^{2} +(-1.58737 + 0.693000i) q^{3} +(0.951057 + 0.309017i) q^{4} +(-0.197931 - 2.22729i) q^{5} +(1.67624 - 0.436149i) q^{6} +(-1.43195 + 1.43195i) q^{7} +(-0.891007 - 0.453990i) q^{8} +(2.03950 - 2.20010i) q^{9} +O(q^{10})\) \(q+(-0.987688 - 0.156434i) q^{2} +(-1.58737 + 0.693000i) q^{3} +(0.951057 + 0.309017i) q^{4} +(-0.197931 - 2.22729i) q^{5} +(1.67624 - 0.436149i) q^{6} +(-1.43195 + 1.43195i) q^{7} +(-0.891007 - 0.453990i) q^{8} +(2.03950 - 2.20010i) q^{9} +(-0.152931 + 2.23083i) q^{10} +(-3.22713 - 4.44177i) q^{11} +(-1.72383 + 0.168558i) q^{12} +(-1.00424 - 6.34051i) q^{13} +(1.63832 - 1.19031i) q^{14} +(1.85770 + 3.39837i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-0.101553 + 0.199309i) q^{17} +(-2.35856 + 1.85396i) q^{18} +(2.05900 - 0.669009i) q^{19} +(0.500027 - 2.17944i) q^{20} +(1.28069 - 3.26537i) q^{21} +(2.49256 + 4.89192i) q^{22} +(-0.339741 + 2.14504i) q^{23} +(1.72897 + 0.103184i) q^{24} +(-4.92165 + 0.881699i) q^{25} +6.41955i q^{26} +(-1.71278 + 4.90575i) q^{27} +(-1.80436 + 0.919366i) q^{28} +(-2.33841 + 7.19688i) q^{29} +(-1.30321 - 3.64714i) q^{30} +(-0.944961 - 2.90829i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(8.20081 + 4.81433i) q^{33} +(0.131482 - 0.180969i) q^{34} +(3.47279 + 2.90593i) q^{35} +(2.61955 - 1.46218i) q^{36} +(6.46438 - 1.02386i) q^{37} +(-2.13830 + 0.338674i) q^{38} +(5.98808 + 9.36882i) q^{39} +(-0.834811 + 2.07439i) q^{40} +(0.896615 - 1.23409i) q^{41} +(-1.77574 + 3.02482i) q^{42} +(-2.14384 - 2.14384i) q^{43} +(-1.69660 - 5.22161i) q^{44} +(-5.30394 - 4.10709i) q^{45} +(0.671116 - 2.06548i) q^{46} +(4.66039 - 2.37459i) q^{47} +(-1.69155 - 0.372385i) q^{48} +2.89906i q^{49} +(4.99898 - 0.100928i) q^{50} +(0.0230812 - 0.386754i) q^{51} +(1.00424 - 6.34051i) q^{52} +(-5.56485 - 10.9216i) q^{53} +(2.45912 - 4.57742i) q^{54} +(-9.25436 + 8.06693i) q^{55} +(1.92596 - 0.625783i) q^{56} +(-2.80477 + 2.48885i) q^{57} +(3.43546 - 6.74246i) q^{58} +(4.61185 + 3.35071i) q^{59} +(0.716626 + 3.80611i) q^{60} +(2.55529 - 1.85653i) q^{61} +(0.478370 + 3.02031i) q^{62} +(0.229968 + 6.07088i) q^{63} +(0.587785 + 0.809017i) q^{64} +(-13.9234 + 3.49171i) q^{65} +(-7.34671 - 6.03795i) q^{66} +(2.22498 + 1.13368i) q^{67} +(-0.158173 + 0.158173i) q^{68} +(-0.947217 - 3.64041i) q^{69} +(-2.97544 - 3.41342i) q^{70} +(-5.77333 - 1.87587i) q^{71} +(-2.81603 + 1.03439i) q^{72} +(-3.02002 - 0.478324i) q^{73} -6.54496 q^{74} +(7.20147 - 4.81029i) q^{75} +2.16496 q^{76} +(10.9815 + 1.73929i) q^{77} +(-4.44875 - 10.1902i) q^{78} +(-11.0020 - 3.57478i) q^{79} +(1.14904 - 1.91826i) q^{80} +(-0.680873 - 8.97421i) q^{81} +(-1.07863 + 1.07863i) q^{82} +(9.31624 + 4.74686i) q^{83} +(2.22707 - 2.70980i) q^{84} +(0.464020 + 0.186739i) q^{85} +(1.78208 + 2.45282i) q^{86} +(-1.27552 - 13.0446i) q^{87} +(0.858876 + 5.42273i) q^{88} +(7.34358 - 5.33542i) q^{89} +(4.59615 + 4.88625i) q^{90} +(10.5173 + 7.64126i) q^{91} +(-0.985966 + 1.93507i) q^{92} +(3.51545 + 3.96168i) q^{93} +(-4.97448 + 1.61631i) q^{94} +(-1.89762 - 4.45357i) q^{95} +(1.61247 + 0.632416i) q^{96} +(1.09363 + 2.14637i) q^{97} +(0.453513 - 2.86337i) q^{98} +(-16.3541 - 1.95898i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.987688 0.156434i −0.698401 0.110616i
\(3\) −1.58737 + 0.693000i −0.916470 + 0.400104i
\(4\) 0.951057 + 0.309017i 0.475528 + 0.154508i
\(5\) −0.197931 2.22729i −0.0885173 0.996075i
\(6\) 1.67624 0.436149i 0.684321 0.178057i
\(7\) −1.43195 + 1.43195i −0.541225 + 0.541225i −0.923888 0.382663i \(-0.875007\pi\)
0.382663 + 0.923888i \(0.375007\pi\)
\(8\) −0.891007 0.453990i −0.315018 0.160510i
\(9\) 2.03950 2.20010i 0.679834 0.733366i
\(10\) −0.152931 + 2.23083i −0.0483611 + 0.705451i
\(11\) −3.22713 4.44177i −0.973017 1.33924i −0.940508 0.339772i \(-0.889650\pi\)
−0.0325093 0.999471i \(-0.510350\pi\)
\(12\) −1.72383 + 0.168558i −0.497627 + 0.0486584i
\(13\) −1.00424 6.34051i −0.278526 1.75854i −0.589164 0.808014i \(-0.700543\pi\)
0.310638 0.950528i \(-0.399457\pi\)
\(14\) 1.63832 1.19031i 0.437860 0.318124i
\(15\) 1.85770 + 3.39837i 0.479657 + 0.877456i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) −0.101553 + 0.199309i −0.0246303 + 0.0483396i −0.902994 0.429654i \(-0.858636\pi\)
0.878364 + 0.477993i \(0.158636\pi\)
\(18\) −2.35856 + 1.85396i −0.555919 + 0.436984i
\(19\) 2.05900 0.669009i 0.472366 0.153481i −0.0631534 0.998004i \(-0.520116\pi\)
0.535520 + 0.844523i \(0.320116\pi\)
\(20\) 0.500027 2.17944i 0.111810 0.487338i
\(21\) 1.28069 3.26537i 0.279470 0.712562i
\(22\) 2.49256 + 4.89192i 0.531415 + 1.04296i
\(23\) −0.339741 + 2.14504i −0.0708408 + 0.447271i 0.926617 + 0.376007i \(0.122703\pi\)
−0.997457 + 0.0712640i \(0.977297\pi\)
\(24\) 1.72897 + 0.103184i 0.352925 + 0.0210623i
\(25\) −4.92165 + 0.881699i −0.984329 + 0.176340i
\(26\) 6.41955i 1.25898i
\(27\) −1.71278 + 4.90575i −0.329624 + 0.944112i
\(28\) −1.80436 + 0.919366i −0.340992 + 0.173744i
\(29\) −2.33841 + 7.19688i −0.434231 + 1.33643i 0.459641 + 0.888105i \(0.347978\pi\)
−0.893872 + 0.448322i \(0.852022\pi\)
\(30\) −1.30321 3.64714i −0.237932 0.665874i
\(31\) −0.944961 2.90829i −0.169720 0.522344i 0.829633 0.558309i \(-0.188550\pi\)
−0.999353 + 0.0359646i \(0.988550\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 8.20081 + 4.81433i 1.42758 + 0.838068i
\(34\) 0.131482 0.180969i 0.0225489 0.0310359i
\(35\) 3.47279 + 2.90593i 0.587008 + 0.491193i
\(36\) 2.61955 1.46218i 0.436591 0.243696i
\(37\) 6.46438 1.02386i 1.06274 0.168321i 0.399502 0.916732i \(-0.369183\pi\)
0.663235 + 0.748411i \(0.269183\pi\)
\(38\) −2.13830 + 0.338674i −0.346879 + 0.0549402i
\(39\) 5.98808 + 9.36882i 0.958860 + 1.50021i
\(40\) −0.834811 + 2.07439i −0.131995 + 0.327990i
\(41\) 0.896615 1.23409i 0.140028 0.192732i −0.733243 0.679966i \(-0.761994\pi\)
0.873271 + 0.487235i \(0.161994\pi\)
\(42\) −1.77574 + 3.02482i −0.274003 + 0.466741i
\(43\) −2.14384 2.14384i −0.326933 0.326933i 0.524486 0.851419i \(-0.324258\pi\)
−0.851419 + 0.524486i \(0.824258\pi\)
\(44\) −1.69660 5.22161i −0.255773 0.787187i
\(45\) −5.30394 4.10709i −0.790665 0.612249i
\(46\) 0.671116 2.06548i 0.0989506 0.304539i
\(47\) 4.66039 2.37459i 0.679788 0.346369i −0.0797657 0.996814i \(-0.525417\pi\)
0.759554 + 0.650444i \(0.225417\pi\)
\(48\) −1.69155 0.372385i −0.244154 0.0537491i
\(49\) 2.89906i 0.414151i
\(50\) 4.99898 0.100928i 0.706963 0.0142734i
\(51\) 0.0230812 0.386754i 0.00323202 0.0541564i
\(52\) 1.00424 6.34051i 0.139263 0.879271i
\(53\) −5.56485 10.9216i −0.764390 1.50020i −0.863072 0.505082i \(-0.831462\pi\)
0.0986812 0.995119i \(-0.468538\pi\)
\(54\) 2.45912 4.57742i 0.334644 0.622907i
\(55\) −9.25436 + 8.06693i −1.24786 + 1.08774i
\(56\) 1.92596 0.625783i 0.257368 0.0836238i
\(57\) −2.80477 + 2.48885i −0.371501 + 0.329657i
\(58\) 3.43546 6.74246i 0.451098 0.885329i
\(59\) 4.61185 + 3.35071i 0.600412 + 0.436225i 0.846025 0.533143i \(-0.178989\pi\)
−0.245613 + 0.969368i \(0.578989\pi\)
\(60\) 0.716626 + 3.80611i 0.0925160 + 0.491366i
\(61\) 2.55529 1.85653i 0.327171 0.237704i −0.412058 0.911158i \(-0.635190\pi\)
0.739229 + 0.673454i \(0.235190\pi\)
\(62\) 0.478370 + 3.02031i 0.0607530 + 0.383580i
\(63\) 0.229968 + 6.07088i 0.0289733 + 0.764859i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) −13.9234 + 3.49171i −1.72698 + 0.433094i
\(66\) −7.34671 6.03795i −0.904318 0.743220i
\(67\) 2.22498 + 1.13368i 0.271824 + 0.138501i 0.584590 0.811329i \(-0.301255\pi\)
−0.312766 + 0.949830i \(0.601255\pi\)
\(68\) −0.158173 + 0.158173i −0.0191813 + 0.0191813i
\(69\) −0.947217 3.64041i −0.114032 0.438254i
\(70\) −2.97544 3.41342i −0.355633 0.407982i
\(71\) −5.77333 1.87587i −0.685168 0.222625i −0.0543113 0.998524i \(-0.517296\pi\)
−0.630856 + 0.775900i \(0.717296\pi\)
\(72\) −2.81603 + 1.03439i −0.331873 + 0.121904i
\(73\) −3.02002 0.478324i −0.353467 0.0559836i −0.0228237 0.999740i \(-0.507266\pi\)
−0.330643 + 0.943756i \(0.607266\pi\)
\(74\) −6.54496 −0.760836
\(75\) 7.20147 4.81029i 0.831554 0.555444i
\(76\) 2.16496 0.248338
\(77\) 10.9815 + 1.73929i 1.25145 + 0.198211i
\(78\) −4.44875 10.1902i −0.503722 1.15381i
\(79\) −11.0020 3.57478i −1.23783 0.402194i −0.384282 0.923216i \(-0.625551\pi\)
−0.853543 + 0.521022i \(0.825551\pi\)
\(80\) 1.14904 1.91826i 0.128466 0.214468i
\(81\) −0.680873 8.97421i −0.0756526 0.997134i
\(82\) −1.07863 + 1.07863i −0.119115 + 0.119115i
\(83\) 9.31624 + 4.74686i 1.02259 + 0.521036i 0.883099 0.469187i \(-0.155453\pi\)
0.139492 + 0.990223i \(0.455453\pi\)
\(84\) 2.22707 2.70980i 0.242993 0.295663i
\(85\) 0.464020 + 0.186739i 0.0503301 + 0.0202547i
\(86\) 1.78208 + 2.45282i 0.192166 + 0.264494i
\(87\) −1.27552 13.0446i −0.136750 1.39853i
\(88\) 0.858876 + 5.42273i 0.0915565 + 0.578065i
\(89\) 7.34358 5.33542i 0.778418 0.565554i −0.126086 0.992019i \(-0.540241\pi\)
0.904504 + 0.426466i \(0.140241\pi\)
\(90\) 4.59615 + 4.88625i 0.484477 + 0.515056i
\(91\) 10.5173 + 7.64126i 1.10251 + 0.801022i
\(92\) −0.985966 + 1.93507i −0.102794 + 0.201745i
\(93\) 3.51545 + 3.96168i 0.364535 + 0.410807i
\(94\) −4.97448 + 1.61631i −0.513079 + 0.166709i
\(95\) −1.89762 4.45357i −0.194691 0.456926i
\(96\) 1.61247 + 0.632416i 0.164572 + 0.0645457i
\(97\) 1.09363 + 2.14637i 0.111041 + 0.217931i 0.939839 0.341617i \(-0.110975\pi\)
−0.828798 + 0.559548i \(0.810975\pi\)
\(98\) 0.453513 2.86337i 0.0458117 0.289244i
\(99\) −16.3541 1.95898i −1.64365 0.196884i
\(100\) −4.95322 0.682327i −0.495322 0.0682327i
\(101\) 7.60118i 0.756346i 0.925735 + 0.378173i \(0.123448\pi\)
−0.925735 + 0.378173i \(0.876552\pi\)
\(102\) −0.0832988 + 0.378382i −0.00824781 + 0.0374654i
\(103\) 7.60819 3.87657i 0.749657 0.381970i −0.0370356 0.999314i \(-0.511791\pi\)
0.786693 + 0.617344i \(0.211791\pi\)
\(104\) −1.98375 + 6.10535i −0.194523 + 0.598679i
\(105\) −7.52642 2.20616i −0.734503 0.215299i
\(106\) 3.78781 + 11.6577i 0.367905 + 1.13230i
\(107\) −3.60945 3.60945i −0.348939 0.348939i 0.510775 0.859714i \(-0.329358\pi\)
−0.859714 + 0.510775i \(0.829358\pi\)
\(108\) −3.14491 + 4.13637i −0.302619 + 0.398022i
\(109\) 5.74999 7.91418i 0.550749 0.758041i −0.439365 0.898309i \(-0.644796\pi\)
0.990114 + 0.140268i \(0.0447964\pi\)
\(110\) 10.4024 6.51991i 0.991827 0.621649i
\(111\) −9.55184 + 6.10506i −0.906620 + 0.579466i
\(112\) −2.00015 + 0.316792i −0.188996 + 0.0299340i
\(113\) 13.0078 2.06024i 1.22367 0.193811i 0.489033 0.872266i \(-0.337350\pi\)
0.734642 + 0.678454i \(0.237350\pi\)
\(114\) 3.15958 2.01945i 0.295922 0.189139i
\(115\) 4.84487 + 0.332132i 0.451786 + 0.0309715i
\(116\) −4.44791 + 6.12203i −0.412978 + 0.568416i
\(117\) −15.9979 10.7221i −1.47901 0.991255i
\(118\) −4.03091 4.03091i −0.371075 0.371075i
\(119\) −0.139982 0.430819i −0.0128321 0.0394931i
\(120\) −0.112397 3.87135i −0.0102604 0.353404i
\(121\) −5.91572 + 18.2067i −0.537793 + 1.65516i
\(122\) −2.81426 + 1.43393i −0.254791 + 0.129822i
\(123\) −0.568041 + 2.58031i −0.0512185 + 0.232658i
\(124\) 3.05796i 0.274613i
\(125\) 2.93794 + 10.7874i 0.262778 + 0.964856i
\(126\) 0.722558 6.03211i 0.0643706 0.537383i
\(127\) 1.79653 11.3429i 0.159417 1.00652i −0.770150 0.637863i \(-0.779819\pi\)
0.929567 0.368654i \(-0.120181\pi\)
\(128\) −0.453990 0.891007i −0.0401275 0.0787546i
\(129\) 4.88876 + 1.91739i 0.430432 + 0.168817i
\(130\) 14.2982 1.27063i 1.25404 0.111441i
\(131\) 9.82350 3.19185i 0.858284 0.278873i 0.153372 0.988169i \(-0.450987\pi\)
0.704911 + 0.709295i \(0.250987\pi\)
\(132\) 6.31172 + 7.11289i 0.549365 + 0.619098i
\(133\) −1.99039 + 3.90636i −0.172589 + 0.338724i
\(134\) −2.02024 1.46779i −0.174522 0.126797i
\(135\) 11.2655 + 2.84385i 0.969584 + 0.244760i
\(136\) 0.180969 0.131482i 0.0155180 0.0112745i
\(137\) 2.11029 + 13.3238i 0.180294 + 1.13833i 0.897351 + 0.441317i \(0.145489\pi\)
−0.717057 + 0.697014i \(0.754511\pi\)
\(138\) 0.366069 + 3.74377i 0.0311619 + 0.318691i
\(139\) −6.69452 9.21421i −0.567822 0.781539i 0.424473 0.905441i \(-0.360459\pi\)
−0.992295 + 0.123901i \(0.960459\pi\)
\(140\) 2.40483 + 3.83686i 0.203246 + 0.324274i
\(141\) −5.75219 + 6.99901i −0.484422 + 0.589423i
\(142\) 5.40880 + 2.75592i 0.453896 + 0.231272i
\(143\) −24.9223 + 24.9223i −2.08411 + 2.08411i
\(144\) 2.94318 0.581129i 0.245265 0.0484274i
\(145\) 16.4924 + 3.78383i 1.36962 + 0.314230i
\(146\) 2.90801 + 0.944871i 0.240669 + 0.0781981i
\(147\) −2.00905 4.60189i −0.165704 0.379557i
\(148\) 6.46438 + 1.02386i 0.531369 + 0.0841605i
\(149\) 5.97158 0.489211 0.244606 0.969623i \(-0.421342\pi\)
0.244606 + 0.969623i \(0.421342\pi\)
\(150\) −7.86530 + 3.62451i −0.642199 + 0.295940i
\(151\) −3.02183 −0.245913 −0.122956 0.992412i \(-0.539238\pi\)
−0.122956 + 0.992412i \(0.539238\pi\)
\(152\) −2.13830 0.338674i −0.173439 0.0274701i
\(153\) 0.231382 + 0.629918i 0.0187062 + 0.0509259i
\(154\) −10.5742 3.43576i −0.852091 0.276861i
\(155\) −6.29057 + 2.68034i −0.505271 + 0.215290i
\(156\) 2.79988 + 10.7607i 0.224170 + 0.861545i
\(157\) 4.40896 4.40896i 0.351873 0.351873i −0.508933 0.860806i \(-0.669960\pi\)
0.860806 + 0.508933i \(0.169960\pi\)
\(158\) 10.3074 + 5.25186i 0.820010 + 0.417816i
\(159\) 16.4022 + 13.4802i 1.30078 + 1.06905i
\(160\) −1.43497 + 1.71489i −0.113445 + 0.135574i
\(161\) −2.58509 3.55807i −0.203734 0.280415i
\(162\) −0.731385 + 8.97023i −0.0574630 + 0.704768i
\(163\) −0.896493 5.66023i −0.0702187 0.443344i −0.997601 0.0692282i \(-0.977946\pi\)
0.927382 0.374116i \(-0.122054\pi\)
\(164\) 1.23409 0.896615i 0.0963659 0.0700139i
\(165\) 9.09973 19.2185i 0.708413 1.49616i
\(166\) −8.45897 6.14580i −0.656544 0.477007i
\(167\) 4.42748 8.68941i 0.342608 0.672407i −0.653838 0.756634i \(-0.726842\pi\)
0.996447 + 0.0842276i \(0.0268423\pi\)
\(168\) −2.62355 + 2.32804i −0.202411 + 0.179613i
\(169\) −26.8299 + 8.71756i −2.06384 + 0.670581i
\(170\) −0.429095 0.257029i −0.0329101 0.0197132i
\(171\) 2.72744 5.89444i 0.208573 0.450759i
\(172\) −1.37643 2.70140i −0.104952 0.205980i
\(173\) 2.74408 17.3254i 0.208629 1.31723i −0.631726 0.775192i \(-0.717653\pi\)
0.840354 0.542037i \(-0.182347\pi\)
\(174\) −0.780818 + 13.0836i −0.0591937 + 0.991863i
\(175\) 5.78499 8.31008i 0.437304 0.628183i
\(176\) 5.49033i 0.413849i
\(177\) −9.64277 2.12280i −0.724795 0.159560i
\(178\) −8.08781 + 4.12095i −0.606207 + 0.308878i
\(179\) −3.59155 + 11.0537i −0.268445 + 0.826190i 0.722434 + 0.691440i \(0.243023\pi\)
−0.990880 + 0.134750i \(0.956977\pi\)
\(180\) −3.77519 5.54509i −0.281386 0.413306i
\(181\) −1.22208 3.76116i −0.0908362 0.279565i 0.895310 0.445444i \(-0.146954\pi\)
−0.986146 + 0.165879i \(0.946954\pi\)
\(182\) −9.19245 9.19245i −0.681390 0.681390i
\(183\) −2.76962 + 4.71782i −0.204736 + 0.348751i
\(184\) 1.27654 1.75700i 0.0941076 0.129528i
\(185\) −3.55993 14.1954i −0.261731 1.04367i
\(186\) −2.85243 4.46284i −0.209150 0.327232i
\(187\) 1.21301 0.192122i 0.0887042 0.0140494i
\(188\) 5.16609 0.818228i 0.376776 0.0596754i
\(189\) −4.57217 9.47738i −0.332576 0.689378i
\(190\) 1.17756 + 4.69559i 0.0854293 + 0.340654i
\(191\) 9.89270 13.6161i 0.715810 0.985228i −0.283842 0.958871i \(-0.591609\pi\)
0.999653 0.0263574i \(-0.00839078\pi\)
\(192\) −1.49368 0.876876i −0.107797 0.0632830i
\(193\) 11.0921 + 11.0921i 0.798428 + 0.798428i 0.982848 0.184419i \(-0.0590404\pi\)
−0.184419 + 0.982848i \(0.559040\pi\)
\(194\) −0.744401 2.29103i −0.0534449 0.164486i
\(195\) 19.6819 15.1916i 1.40945 1.08789i
\(196\) −0.895859 + 2.75717i −0.0639899 + 0.196941i
\(197\) −15.8178 + 8.05955i −1.12697 + 0.574219i −0.915160 0.403091i \(-0.867936\pi\)
−0.211809 + 0.977311i \(0.567936\pi\)
\(198\) 15.8463 + 4.49320i 1.12615 + 0.319318i
\(199\) 2.78155i 0.197179i 0.995128 + 0.0985894i \(0.0314330\pi\)
−0.995128 + 0.0985894i \(0.968567\pi\)
\(200\) 4.78550 + 1.44878i 0.338386 + 0.102444i
\(201\) −4.31751 0.257666i −0.304533 0.0181743i
\(202\) 1.18909 7.50760i 0.0836639 0.528233i
\(203\) −6.95707 13.6540i −0.488290 0.958324i
\(204\) 0.141465 0.360693i 0.00990455 0.0252535i
\(205\) −2.92613 1.75276i −0.204370 0.122418i
\(206\) −8.12095 + 2.63866i −0.565813 + 0.183844i
\(207\) 4.02640 + 5.12227i 0.279854 + 0.356022i
\(208\) 2.91441 5.71986i 0.202078 0.396601i
\(209\) −9.61624 6.98661i −0.665169 0.483274i
\(210\) 7.08864 + 3.35639i 0.489162 + 0.231613i
\(211\) −11.4724 + 8.33520i −0.789794 + 0.573819i −0.907902 0.419182i \(-0.862317\pi\)
0.118108 + 0.993001i \(0.462317\pi\)
\(212\) −1.91752 12.1067i −0.131695 0.831493i
\(213\) 10.4644 1.02322i 0.717009 0.0701097i
\(214\) 3.00037 + 4.12966i 0.205101 + 0.282298i
\(215\) −4.35063 + 5.19930i −0.296711 + 0.354589i
\(216\) 3.75326 3.59347i 0.255377 0.244505i
\(217\) 5.51765 + 2.81138i 0.374562 + 0.190849i
\(218\) −6.91725 + 6.91725i −0.468495 + 0.468495i
\(219\) 5.12538 1.33360i 0.346341 0.0901162i
\(220\) −11.2942 + 4.81235i −0.761457 + 0.324448i
\(221\) 1.36571 + 0.443745i 0.0918674 + 0.0298495i
\(222\) 10.3893 4.53566i 0.697283 0.304413i
\(223\) 5.36327 + 0.849459i 0.359151 + 0.0568840i 0.333403 0.942784i \(-0.391803\pi\)
0.0257485 + 0.999668i \(0.491803\pi\)
\(224\) 2.02508 0.135306
\(225\) −8.09788 + 12.6263i −0.539859 + 0.841756i
\(226\) −13.1700 −0.876055
\(227\) −19.7103 3.12180i −1.30822 0.207201i −0.536896 0.843649i \(-0.680403\pi\)
−0.771320 + 0.636448i \(0.780403\pi\)
\(228\) −3.43659 + 1.50032i −0.227594 + 0.0993609i
\(229\) 10.9433 + 3.55568i 0.723151 + 0.234966i 0.647389 0.762160i \(-0.275861\pi\)
0.0757621 + 0.997126i \(0.475861\pi\)
\(230\) −4.73326 1.08595i −0.312102 0.0716052i
\(231\) −18.6370 + 4.84925i −1.22622 + 0.319057i
\(232\) 5.35085 5.35085i 0.351300 0.351300i
\(233\) 4.33449 + 2.20854i 0.283962 + 0.144686i 0.590171 0.807279i \(-0.299060\pi\)
−0.306208 + 0.951964i \(0.599060\pi\)
\(234\) 14.1236 + 13.0927i 0.923292 + 0.855895i
\(235\) −6.21134 9.91005i −0.405183 0.646460i
\(236\) 3.35071 + 4.61185i 0.218112 + 0.300206i
\(237\) 19.9416 1.94991i 1.29535 0.126660i
\(238\) 0.0708632 + 0.447413i 0.00459338 + 0.0290015i
\(239\) 13.5737 9.86185i 0.878008 0.637910i −0.0547159 0.998502i \(-0.517425\pi\)
0.932724 + 0.360592i \(0.117425\pi\)
\(240\) −0.494600 + 3.84127i −0.0319263 + 0.247953i
\(241\) 13.7609 + 9.99786i 0.886416 + 0.644019i 0.934941 0.354803i \(-0.115452\pi\)
−0.0485253 + 0.998822i \(0.515452\pi\)
\(242\) 8.69105 17.0571i 0.558682 1.09648i
\(243\) 7.29993 + 13.7736i 0.468291 + 0.883574i
\(244\) 3.00392 0.976034i 0.192307 0.0624842i
\(245\) 6.45705 0.573813i 0.412526 0.0366596i
\(246\) 0.964696 2.45968i 0.0615068 0.156823i
\(247\) −6.30958 12.3833i −0.401469 0.787928i
\(248\) −0.478370 + 3.02031i −0.0303765 + 0.191790i
\(249\) −18.0779 1.07888i −1.14564 0.0683711i
\(250\) −1.21425 11.1142i −0.0767959 0.702924i
\(251\) 27.1027i 1.71071i −0.518046 0.855353i \(-0.673340\pi\)
0.518046 0.855353i \(-0.326660\pi\)
\(252\) −1.65729 + 5.84481i −0.104400 + 0.368189i
\(253\) 10.6241 5.41327i 0.667934 0.340330i
\(254\) −3.54883 + 10.9222i −0.222673 + 0.685318i
\(255\) −0.865983 + 0.0251420i −0.0542300 + 0.00157445i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 11.8188 + 11.8188i 0.737238 + 0.737238i 0.972043 0.234805i \(-0.0754451\pi\)
−0.234805 + 0.972043i \(0.575445\pi\)
\(258\) −4.52863 2.65856i −0.281940 0.165515i
\(259\) −7.79053 + 10.7227i −0.484080 + 0.666279i
\(260\) −14.3209 0.981749i −0.888147 0.0608855i
\(261\) 11.0647 + 19.8228i 0.684885 + 1.22700i
\(262\) −10.2019 + 1.61582i −0.630274 + 0.0998256i
\(263\) −7.20902 + 1.14180i −0.444527 + 0.0704062i −0.374686 0.927152i \(-0.622249\pi\)
−0.0698415 + 0.997558i \(0.522249\pi\)
\(264\) −5.12131 8.01269i −0.315195 0.493147i
\(265\) −23.2242 + 14.5563i −1.42665 + 0.894184i
\(266\) 2.57697 3.54690i 0.158004 0.217474i
\(267\) −7.95954 + 13.5584i −0.487116 + 0.829761i
\(268\) 1.76575 + 1.76575i 0.107860 + 0.107860i
\(269\) −9.50784 29.2621i −0.579703 1.78414i −0.619573 0.784939i \(-0.712694\pi\)
0.0398701 0.999205i \(-0.487306\pi\)
\(270\) −10.6820 4.57116i −0.650084 0.278192i
\(271\) 4.91027 15.1123i 0.298278 0.918004i −0.683823 0.729648i \(-0.739684\pi\)
0.982101 0.188356i \(-0.0603160\pi\)
\(272\) −0.199309 + 0.101553i −0.0120849 + 0.00615756i
\(273\) −21.9903 4.84103i −1.33091 0.292993i
\(274\) 13.4899i 0.814956i
\(275\) 19.7991 + 19.0155i 1.19393 + 1.14667i
\(276\) 0.224092 3.75495i 0.0134888 0.226021i
\(277\) −1.50370 + 9.49399i −0.0903486 + 0.570438i 0.900436 + 0.434989i \(0.143248\pi\)
−0.990784 + 0.135449i \(0.956752\pi\)
\(278\) 5.17068 + 10.1480i 0.310117 + 0.608638i
\(279\) −8.32578 3.85245i −0.498451 0.230640i
\(280\) −1.77501 4.16582i −0.106077 0.248955i
\(281\) −19.6851 + 6.39607i −1.17431 + 0.381558i −0.830251 0.557389i \(-0.811803\pi\)
−0.344062 + 0.938947i \(0.611803\pi\)
\(282\) 6.77626 6.01300i 0.403520 0.358069i
\(283\) −5.53912 + 10.8711i −0.329267 + 0.646222i −0.994990 0.0999766i \(-0.968123\pi\)
0.665723 + 0.746199i \(0.268123\pi\)
\(284\) −4.91108 3.56811i −0.291419 0.211728i
\(285\) 6.09855 + 5.75442i 0.361247 + 0.340863i
\(286\) 28.5141 20.7167i 1.68608 1.22501i
\(287\) 0.483239 + 3.05105i 0.0285247 + 0.180098i
\(288\) −2.99785 + 0.113560i −0.176650 + 0.00669160i
\(289\) 9.96294 + 13.7128i 0.586055 + 0.806636i
\(290\) −15.6974 6.31722i −0.921784 0.370960i
\(291\) −3.22344 2.64921i −0.188961 0.155299i
\(292\) −2.72440 1.38815i −0.159433 0.0812354i
\(293\) 0.153372 0.153372i 0.00896009 0.00896009i −0.702613 0.711573i \(-0.747983\pi\)
0.711573 + 0.702613i \(0.247983\pi\)
\(294\) 1.26442 + 4.85951i 0.0737425 + 0.283413i
\(295\) 6.55017 10.9351i 0.381366 0.636669i
\(296\) −6.22462 2.02250i −0.361799 0.117556i
\(297\) 27.3176 8.22375i 1.58513 0.477191i
\(298\) −5.89806 0.934161i −0.341666 0.0541145i
\(299\) 13.9418 0.806276
\(300\) 8.33546 2.34948i 0.481248 0.135647i
\(301\) 6.13974 0.353889
\(302\) 2.98463 + 0.472718i 0.171746 + 0.0272019i
\(303\) −5.26762 12.0659i −0.302617 0.693168i
\(304\) 2.05900 + 0.669009i 0.118092 + 0.0383703i
\(305\) −4.64080 5.32391i −0.265731 0.304846i
\(306\) −0.129993 0.658359i −0.00743119 0.0376359i
\(307\) −4.76351 + 4.76351i −0.271868 + 0.271868i −0.829852 0.557984i \(-0.811575\pi\)
0.557984 + 0.829852i \(0.311575\pi\)
\(308\) 9.90651 + 5.04762i 0.564476 + 0.287615i
\(309\) −9.39057 + 11.4260i −0.534211 + 0.650004i
\(310\) 6.63242 1.66328i 0.376696 0.0944680i
\(311\) 17.8640 + 24.5877i 1.01298 + 1.39424i 0.917012 + 0.398859i \(0.130594\pi\)
0.0959647 + 0.995385i \(0.469406\pi\)
\(312\) −1.08206 11.0662i −0.0612598 0.626501i
\(313\) 1.36617 + 8.62568i 0.0772206 + 0.487552i 0.995742 + 0.0921812i \(0.0293839\pi\)
−0.918522 + 0.395371i \(0.870616\pi\)
\(314\) −5.04439 + 3.66496i −0.284671 + 0.206826i
\(315\) 13.4761 1.71382i 0.759292 0.0965628i
\(316\) −9.35889 6.79963i −0.526479 0.382509i
\(317\) −4.58149 + 8.99167i −0.257322 + 0.505023i −0.983138 0.182866i \(-0.941462\pi\)
0.725816 + 0.687889i \(0.241462\pi\)
\(318\) −14.0915 15.8801i −0.790210 0.890514i
\(319\) 39.5132 12.8386i 2.21231 0.718825i
\(320\) 1.68558 1.46930i 0.0942265 0.0821363i
\(321\) 8.23090 + 3.22819i 0.459404 + 0.180180i
\(322\) 1.99666 + 3.91866i 0.111269 + 0.218378i
\(323\) −0.0757580 + 0.478317i −0.00421529 + 0.0266143i
\(324\) 2.12563 8.74538i 0.118091 0.485854i
\(325\) 10.5329 + 30.3203i 0.584262 + 1.68187i
\(326\) 5.73079i 0.317399i
\(327\) −3.64284 + 16.5475i −0.201450 + 0.915079i
\(328\) −1.35915 + 0.692523i −0.0750467 + 0.0382382i
\(329\) −3.27315 + 10.0737i −0.180455 + 0.555382i
\(330\) −11.9941 + 17.5584i −0.660255 + 0.966556i
\(331\) −7.78449 23.9582i −0.427874 1.31686i −0.900215 0.435445i \(-0.856591\pi\)
0.472341 0.881416i \(-0.343409\pi\)
\(332\) 7.39341 + 7.39341i 0.405766 + 0.405766i
\(333\) 10.9315 16.3104i 0.599043 0.893806i
\(334\) −5.73229 + 7.88982i −0.313657 + 0.431712i
\(335\) 2.08465 5.18006i 0.113896 0.283017i
\(336\) 2.95544 1.88897i 0.161232 0.103052i
\(337\) −29.9840 + 4.74900i −1.63333 + 0.258694i −0.904649 0.426157i \(-0.859867\pi\)
−0.728683 + 0.684852i \(0.759867\pi\)
\(338\) 27.8633 4.41311i 1.51556 0.240042i
\(339\) −19.2205 + 12.2848i −1.04392 + 0.667219i
\(340\) 0.383604 + 0.320989i 0.0208038 + 0.0174081i
\(341\) −9.86844 + 13.5827i −0.534406 + 0.735546i
\(342\) −3.61596 + 5.39521i −0.195528 + 0.291739i
\(343\) −14.1749 14.1749i −0.765374 0.765374i
\(344\) 0.936894 + 2.88346i 0.0505139 + 0.155466i
\(345\) −7.92078 + 2.83028i −0.426440 + 0.152377i
\(346\) −5.42059 + 16.6829i −0.291413 + 0.896877i
\(347\) −22.1485 + 11.2852i −1.18899 + 0.605823i −0.932657 0.360765i \(-0.882516\pi\)
−0.256337 + 0.966587i \(0.582516\pi\)
\(348\) 2.81793 12.8003i 0.151057 0.686170i
\(349\) 7.66380i 0.410234i −0.978737 0.205117i \(-0.934243\pi\)
0.978737 0.205117i \(-0.0657575\pi\)
\(350\) −7.01375 + 7.30280i −0.374901 + 0.390351i
\(351\) 32.8250 + 5.93334i 1.75207 + 0.316698i
\(352\) −0.858876 + 5.42273i −0.0457783 + 0.289033i
\(353\) −1.23037 2.41473i −0.0654859 0.128523i 0.855943 0.517070i \(-0.172977\pi\)
−0.921429 + 0.388547i \(0.872977\pi\)
\(354\) 9.19197 + 3.60513i 0.488548 + 0.191610i
\(355\) −3.03538 + 13.2302i −0.161101 + 0.702184i
\(356\) 8.63290 2.80500i 0.457543 0.148665i
\(357\) 0.520760 + 0.586863i 0.0275616 + 0.0310601i
\(358\) 5.27651 10.3557i 0.278872 0.547317i
\(359\) −3.19128 2.31860i −0.168429 0.122371i 0.500377 0.865807i \(-0.333195\pi\)
−0.668807 + 0.743436i \(0.733195\pi\)
\(360\) 2.86126 + 6.06739i 0.150802 + 0.319779i
\(361\) −11.5794 + 8.41294i −0.609443 + 0.442787i
\(362\) 0.618655 + 3.90603i 0.0325158 + 0.205297i
\(363\) −3.22681 33.0005i −0.169364 1.73207i
\(364\) 7.64126 + 10.5173i 0.400511 + 0.551256i
\(365\) −0.467612 + 6.82114i −0.0244759 + 0.357035i
\(366\) 3.47355 4.22647i 0.181566 0.220921i
\(367\) 25.0999 + 12.7890i 1.31020 + 0.667581i 0.962820 0.270143i \(-0.0870709\pi\)
0.347381 + 0.937724i \(0.387071\pi\)
\(368\) −1.53568 + 1.53568i −0.0800527 + 0.0800527i
\(369\) −0.886462 4.48956i −0.0461474 0.233717i
\(370\) 1.29545 + 14.5775i 0.0673471 + 0.757849i
\(371\) 23.6077 + 7.67062i 1.22565 + 0.398239i
\(372\) 2.11917 + 4.85412i 0.109874 + 0.251674i
\(373\) −25.8075 4.08750i −1.33626 0.211643i −0.552919 0.833235i \(-0.686486\pi\)
−0.783341 + 0.621592i \(0.786486\pi\)
\(374\) −1.22813 −0.0635052
\(375\) −12.1393 15.0877i −0.626871 0.779123i
\(376\) −5.23048 −0.269742
\(377\) 47.9802 + 7.59932i 2.47111 + 0.391385i
\(378\) 3.03329 + 10.0759i 0.156016 + 0.518250i
\(379\) 20.6572 + 6.71194i 1.06109 + 0.344769i 0.787012 0.616938i \(-0.211627\pi\)
0.274079 + 0.961707i \(0.411627\pi\)
\(380\) −0.428512 4.82199i −0.0219822 0.247363i
\(381\) 5.00884 + 19.2503i 0.256611 + 0.986225i
\(382\) −11.9009 + 11.9009i −0.608905 + 0.608905i
\(383\) −21.2826 10.8440i −1.08749 0.554104i −0.184093 0.982909i \(-0.558935\pi\)
−0.903397 + 0.428805i \(0.858935\pi\)
\(384\) 1.33812 + 1.09974i 0.0682856 + 0.0561210i
\(385\) 1.70034 24.8031i 0.0866573 1.26409i
\(386\) −9.22037 12.6908i −0.469304 0.645942i
\(387\) −9.08904 + 0.344298i −0.462022 + 0.0175016i
\(388\) 0.376840 + 2.37927i 0.0191311 + 0.120789i
\(389\) 14.6439 10.6394i 0.742476 0.539440i −0.151010 0.988532i \(-0.548252\pi\)
0.893486 + 0.449092i \(0.148252\pi\)
\(390\) −21.8160 + 11.9256i −1.10470 + 0.603877i
\(391\) −0.393024 0.285549i −0.0198761 0.0144408i
\(392\) 1.31615 2.58308i 0.0664754 0.130465i
\(393\) −13.3816 + 11.8743i −0.675013 + 0.598982i
\(394\) 16.8838 5.48588i 0.850594 0.276375i
\(395\) −5.78443 + 25.2123i −0.291046 + 1.26857i
\(396\) −14.9483 6.91678i −0.751180 0.347581i
\(397\) 6.38543 + 12.5321i 0.320476 + 0.628969i 0.993900 0.110287i \(-0.0351771\pi\)
−0.673424 + 0.739257i \(0.735177\pi\)
\(398\) 0.435130 2.74730i 0.0218111 0.137710i
\(399\) 0.452380 7.58019i 0.0226473 0.379484i
\(400\) −4.49995 2.17956i −0.224997 0.108978i
\(401\) 0.841787i 0.0420368i 0.999779 + 0.0210184i \(0.00669086\pi\)
−0.999779 + 0.0210184i \(0.993309\pi\)
\(402\) 4.22404 + 0.929900i 0.210676 + 0.0463792i
\(403\) −17.4911 + 8.91216i −0.871293 + 0.443946i
\(404\) −2.34889 + 7.22915i −0.116862 + 0.359664i
\(405\) −19.8534 + 3.29277i −0.986524 + 0.163619i
\(406\) 4.73546 + 14.5742i 0.235017 + 0.723307i
\(407\) −25.4091 25.4091i −1.25948 1.25948i
\(408\) −0.196148 + 0.334122i −0.00971079 + 0.0165415i
\(409\) 8.95042 12.3192i 0.442570 0.609145i −0.528211 0.849113i \(-0.677137\pi\)
0.970781 + 0.239968i \(0.0771371\pi\)
\(410\) 2.61592 + 2.18893i 0.129191 + 0.108103i
\(411\) −12.5832 19.6875i −0.620685 0.971110i
\(412\) 8.43375 1.33577i 0.415501 0.0658089i
\(413\) −11.4020 + 1.80589i −0.561054 + 0.0888622i
\(414\) −3.17552 5.68907i −0.156068 0.279603i
\(415\) 8.72867 21.6895i 0.428474 1.06470i
\(416\) −3.77332 + 5.19352i −0.185002 + 0.254633i
\(417\) 17.0121 + 9.98708i 0.833088 + 0.489069i
\(418\) 8.40490 + 8.40490i 0.411097 + 0.411097i
\(419\) 0.0964938 + 0.296977i 0.00471403 + 0.0145083i 0.953386 0.301754i \(-0.0975721\pi\)
−0.948672 + 0.316262i \(0.897572\pi\)
\(420\) −6.47631 4.42397i −0.316012 0.215868i
\(421\) 11.7686 36.2199i 0.573565 1.76525i −0.0674500 0.997723i \(-0.521486\pi\)
0.641015 0.767528i \(-0.278514\pi\)
\(422\) 12.6351 6.43790i 0.615067 0.313392i
\(423\) 4.28055 15.0963i 0.208127 0.734008i
\(424\) 12.2576i 0.595283i
\(425\) 0.324078 1.07047i 0.0157201 0.0519254i
\(426\) −10.4956 0.626372i −0.508515 0.0303478i
\(427\) −1.00059 + 6.31749i −0.0484220 + 0.305725i
\(428\) −2.31741 4.54817i −0.112016 0.219844i
\(429\) 22.2898 56.8321i 1.07616 2.74388i
\(430\) 5.11042 4.45470i 0.246446 0.214824i
\(431\) 23.0434 7.48726i 1.10996 0.360648i 0.304033 0.952661i \(-0.401667\pi\)
0.805928 + 0.592013i \(0.201667\pi\)
\(432\) −4.26919 + 2.96209i −0.205402 + 0.142514i
\(433\) −2.46001 + 4.82804i −0.118220 + 0.232021i −0.942532 0.334116i \(-0.891562\pi\)
0.824312 + 0.566136i \(0.191562\pi\)
\(434\) −5.00992 3.63992i −0.240484 0.174722i
\(435\) −28.8017 + 5.42288i −1.38094 + 0.260007i
\(436\) 7.91418 5.74999i 0.379021 0.275375i
\(437\) 0.735524 + 4.64392i 0.0351849 + 0.222149i
\(438\) −5.27090 + 0.515393i −0.251853 + 0.0246264i
\(439\) −15.7160 21.6312i −0.750083 1.03240i −0.997975 0.0636130i \(-0.979738\pi\)
0.247892 0.968788i \(-0.420262\pi\)
\(440\) 11.9080 2.98629i 0.567692 0.142366i
\(441\) 6.37822 + 5.91263i 0.303725 + 0.281554i
\(442\) −1.27948 0.651925i −0.0608585 0.0310089i
\(443\) 16.9801 16.9801i 0.806749 0.806749i −0.177391 0.984140i \(-0.556766\pi\)
0.984140 + 0.177391i \(0.0567659\pi\)
\(444\) −10.9709 + 2.85457i −0.520656 + 0.135472i
\(445\) −13.3371 15.3002i −0.632237 0.725301i
\(446\) −5.16436 1.67800i −0.244539 0.0794557i
\(447\) −9.47912 + 4.13831i −0.448347 + 0.195735i
\(448\) −2.00015 0.316792i −0.0944980 0.0149670i
\(449\) −6.98488 −0.329637 −0.164818 0.986324i \(-0.552704\pi\)
−0.164818 + 0.986324i \(0.552704\pi\)
\(450\) 9.97337 11.2041i 0.470149 0.528166i
\(451\) −8.37502 −0.394364
\(452\) 13.0078 + 2.06024i 0.611837 + 0.0969055i
\(453\) 4.79677 2.09413i 0.225372 0.0983908i
\(454\) 18.9792 + 6.16673i 0.890739 + 0.289419i
\(455\) 14.9376 24.9375i 0.700286 1.16909i
\(456\) 3.62899 0.944244i 0.169943 0.0442183i
\(457\) −4.53549 + 4.53549i −0.212161 + 0.212161i −0.805185 0.593024i \(-0.797934\pi\)
0.593024 + 0.805185i \(0.297934\pi\)
\(458\) −10.2523 5.22381i −0.479058 0.244092i
\(459\) −0.803824 0.839567i −0.0375193 0.0391876i
\(460\) 4.50511 + 1.81302i 0.210052 + 0.0845326i
\(461\) −1.73628 2.38979i −0.0808667 0.111303i 0.766667 0.642045i \(-0.221914\pi\)
−0.847534 + 0.530741i \(0.821914\pi\)
\(462\) 19.1661 1.87408i 0.891689 0.0871901i
\(463\) −4.47610 28.2610i −0.208022 1.31340i −0.841761 0.539851i \(-0.818481\pi\)
0.633739 0.773547i \(-0.281519\pi\)
\(464\) −6.12203 + 4.44791i −0.284208 + 0.206489i
\(465\) 8.12800 8.61407i 0.376927 0.399468i
\(466\) −3.93564 2.85941i −0.182315 0.132460i
\(467\) 2.07783 4.07796i 0.0961504 0.188706i −0.837922 0.545791i \(-0.816229\pi\)
0.934072 + 0.357085i \(0.116229\pi\)
\(468\) −11.9016 15.1409i −0.550152 0.699889i
\(469\) −4.80942 + 1.56267i −0.222078 + 0.0721576i
\(470\) 4.58459 + 10.7597i 0.211471 + 0.496308i
\(471\) −3.94325 + 10.0541i −0.181695 + 0.463267i
\(472\) −2.58800 5.07924i −0.119122 0.233791i
\(473\) −2.60399 + 16.4409i −0.119731 + 0.755955i
\(474\) −20.0012 1.19365i −0.918684 0.0548264i
\(475\) −9.54379 + 5.10804i −0.437899 + 0.234373i
\(476\) 0.452990i 0.0207628i
\(477\) −35.3782 10.0314i −1.61986 0.459309i
\(478\) −14.9493 + 7.61704i −0.683765 + 0.348395i
\(479\) −8.54601 + 26.3019i −0.390477 + 1.20176i 0.541951 + 0.840410i \(0.317686\pi\)
−0.932428 + 0.361355i \(0.882314\pi\)
\(480\) 1.08942 3.71661i 0.0497249 0.169639i
\(481\) −12.9836 39.9593i −0.591999 1.82199i
\(482\) −12.0274 12.0274i −0.547835 0.547835i
\(483\) 6.56924 + 3.85651i 0.298911 + 0.175477i
\(484\) −11.2524 + 15.4876i −0.511472 + 0.703980i
\(485\) 4.56413 2.86067i 0.207247 0.129896i
\(486\) −5.05540 14.7459i −0.229317 0.668890i
\(487\) −29.8920 + 4.73443i −1.35454 + 0.214538i −0.791133 0.611644i \(-0.790509\pi\)
−0.563404 + 0.826182i \(0.690509\pi\)
\(488\) −3.11963 + 0.494100i −0.141219 + 0.0223669i
\(489\) 5.34561 + 8.36363i 0.241737 + 0.378216i
\(490\) −6.46731 0.443356i −0.292164 0.0200288i
\(491\) −4.84555 + 6.66933i −0.218677 + 0.300982i −0.904235 0.427035i \(-0.859558\pi\)
0.685558 + 0.728018i \(0.259558\pi\)
\(492\) −1.33760 + 2.27848i −0.0603036 + 0.102722i
\(493\) −1.19693 1.19693i −0.0539071 0.0539071i
\(494\) 4.29473 + 13.2178i 0.193229 + 0.594698i
\(495\) −1.12623 + 36.8130i −0.0506205 + 1.65462i
\(496\) 0.944961 2.90829i 0.0424300 0.130586i
\(497\) 10.9532 5.58095i 0.491320 0.250340i
\(498\) 17.6866 + 3.89361i 0.792555 + 0.174477i
\(499\) 38.0463i 1.70318i 0.524205 + 0.851592i \(0.324363\pi\)
−0.524205 + 0.851592i \(0.675637\pi\)
\(500\) −0.539345 + 11.1673i −0.0241203 + 0.499418i
\(501\) −1.00629 + 16.8616i −0.0449576 + 0.753320i
\(502\) −4.23979 + 26.7690i −0.189231 + 1.19476i
\(503\) 17.3097 + 33.9723i 0.771804 + 1.51475i 0.855237 + 0.518236i \(0.173411\pi\)
−0.0834338 + 0.996513i \(0.526589\pi\)
\(504\) 2.55122 5.51360i 0.113640 0.245595i
\(505\) 16.9300 1.50451i 0.753377 0.0669497i
\(506\) −11.3402 + 3.68464i −0.504132 + 0.163802i
\(507\) 36.5477 32.4311i 1.62314 1.44032i
\(508\) 5.21374 10.2325i 0.231322 0.453996i
\(509\) −5.62616 4.08765i −0.249375 0.181182i 0.456075 0.889942i \(-0.349255\pi\)
−0.705450 + 0.708760i \(0.749255\pi\)
\(510\) 0.859254 + 0.110637i 0.0380484 + 0.00489909i
\(511\) 5.00944 3.63957i 0.221605 0.161005i
\(512\) −0.156434 0.987688i −0.00691349 0.0436501i
\(513\) −0.244613 + 11.2468i −0.0107999 + 0.496558i
\(514\) −9.82444 13.5222i −0.433337 0.596438i
\(515\) −10.1401 16.1784i −0.446828 0.712904i
\(516\) 4.05698 + 3.33426i 0.178599 + 0.146783i
\(517\) −25.5871 13.0373i −1.12532 0.573379i
\(518\) 9.37203 9.37203i 0.411783 0.411783i
\(519\) 7.65067 + 29.4036i 0.335827 + 1.29067i
\(520\) 13.9910 + 3.20995i 0.613548 + 0.140766i
\(521\) −20.6631 6.71385i −0.905267 0.294139i −0.180858 0.983509i \(-0.557887\pi\)
−0.724409 + 0.689370i \(0.757887\pi\)
\(522\) −7.82747 21.3096i −0.342599 0.932696i
\(523\) 42.4737 + 6.72718i 1.85725 + 0.294159i 0.981909 0.189354i \(-0.0606393\pi\)
0.875337 + 0.483513i \(0.160639\pi\)
\(524\) 10.3290 0.451226
\(525\) −3.42404 + 17.2002i −0.149437 + 0.750678i
\(526\) 7.29888 0.318246
\(527\) 0.675613 + 0.107007i 0.0294302 + 0.00466128i
\(528\) 3.80480 + 8.71519i 0.165583 + 0.379280i
\(529\) 17.3885 + 5.64988i 0.756023 + 0.245647i
\(530\) 25.2154 10.7440i 1.09528 0.466689i
\(531\) 16.7778 3.31276i 0.728093 0.143762i
\(532\) −3.10010 + 3.10010i −0.134407 + 0.134407i
\(533\) −8.72515 4.44569i −0.377928 0.192564i
\(534\) 9.98255 12.1463i 0.431987 0.525623i
\(535\) −7.32488 + 8.75372i −0.316682 + 0.378456i
\(536\) −1.46779 2.02024i −0.0633987 0.0872609i
\(537\) −1.95906 20.0352i −0.0845398 0.864584i
\(538\) 4.81318 + 30.3892i 0.207511 + 1.31017i
\(539\) 12.8769 9.35565i 0.554649 0.402976i
\(540\) 9.83537 + 6.18591i 0.423247 + 0.266199i
\(541\) −8.60979 6.25538i −0.370164 0.268940i 0.387115 0.922031i \(-0.373472\pi\)
−0.757279 + 0.653092i \(0.773472\pi\)
\(542\) −7.21390 + 14.1581i −0.309863 + 0.608141i
\(543\) 4.54638 + 5.12347i 0.195104 + 0.219869i
\(544\) 0.212742 0.0691240i 0.00912123 0.00296367i
\(545\) −18.7653 11.2404i −0.803816 0.481487i
\(546\) 20.9622 + 8.22147i 0.897100 + 0.351846i
\(547\) 6.48863 + 12.7347i 0.277434 + 0.544495i 0.987112 0.160031i \(-0.0511596\pi\)
−0.709678 + 0.704526i \(0.751160\pi\)
\(548\) −2.11029 + 13.3238i −0.0901470 + 0.569166i
\(549\) 1.12697 9.40828i 0.0480980 0.401536i
\(550\) −16.5807 21.8786i −0.707002 0.932907i
\(551\) 16.3828i 0.697929i
\(552\) −0.808736 + 3.67366i −0.0344221 + 0.156361i
\(553\) 20.8732 10.6354i 0.887619 0.452265i
\(554\) 2.97037 9.14187i 0.126199 0.388401i
\(555\) 15.4883 + 20.0663i 0.657443 + 0.851769i
\(556\) −3.51952 10.8320i −0.149261 0.459377i
\(557\) 3.60663 + 3.60663i 0.152818 + 0.152818i 0.779375 0.626557i \(-0.215537\pi\)
−0.626557 + 0.779375i \(0.715537\pi\)
\(558\) 7.62062 + 5.10746i 0.322606 + 0.216216i
\(559\) −11.4401 + 15.7460i −0.483866 + 0.665985i
\(560\) 1.10148 + 4.39220i 0.0465460 + 0.185604i
\(561\) −1.79236 + 1.14559i −0.0756735 + 0.0483667i
\(562\) 20.4433 3.23790i 0.862349 0.136583i
\(563\) −25.1492 + 3.98324i −1.05991 + 0.167874i −0.661965 0.749534i \(-0.730277\pi\)
−0.397948 + 0.917408i \(0.630277\pi\)
\(564\) −7.63347 + 4.87893i −0.321427 + 0.205440i
\(565\) −7.16341 28.5645i −0.301367 1.20172i
\(566\) 7.17155 9.87079i 0.301443 0.414900i
\(567\) 13.8256 + 11.8756i 0.580619 + 0.498729i
\(568\) 4.29245 + 4.29245i 0.180107 + 0.180107i
\(569\) 9.49637 + 29.2268i 0.398108 + 1.22525i 0.926514 + 0.376260i \(0.122790\pi\)
−0.528406 + 0.848992i \(0.677210\pi\)
\(570\) −5.12327 6.63760i −0.214590 0.278018i
\(571\) −6.95564 + 21.4073i −0.291085 + 0.895866i 0.693424 + 0.720530i \(0.256101\pi\)
−0.984509 + 0.175336i \(0.943899\pi\)
\(572\) −31.4039 + 16.0011i −1.31306 + 0.669039i
\(573\) −6.26741 + 28.4695i −0.261825 + 1.18933i
\(574\) 3.08908i 0.128936i
\(575\) −0.219194 10.8567i −0.00914101 0.452754i
\(576\) 2.97871 + 0.356805i 0.124113 + 0.0148669i
\(577\) 6.51823 41.1545i 0.271358 1.71328i −0.355943 0.934508i \(-0.615840\pi\)
0.627301 0.778777i \(-0.284160\pi\)
\(578\) −7.69512 15.1025i −0.320075 0.628182i
\(579\) −25.2942 9.92048i −1.05119 0.412281i
\(580\) 14.5159 + 8.69506i 0.602741 + 0.361043i
\(581\) −20.1376 + 6.54311i −0.835449 + 0.271454i
\(582\) 2.76933 + 3.12085i 0.114792 + 0.129363i
\(583\) −30.5528 + 59.9633i −1.26537 + 2.48343i
\(584\) 2.47370 + 1.79725i 0.102363 + 0.0743708i
\(585\) −20.7147 + 37.7542i −0.856446 + 1.56094i
\(586\) −0.175477 + 0.127491i −0.00724887 + 0.00526661i
\(587\) 3.88731 + 24.5435i 0.160447 + 1.01302i 0.928148 + 0.372212i \(0.121400\pi\)
−0.767701 + 0.640808i \(0.778600\pi\)
\(588\) −0.488659 4.99748i −0.0201519 0.206093i
\(589\) −3.89134 5.35598i −0.160340 0.220689i
\(590\) −8.18016 + 9.77584i −0.336772 + 0.402465i
\(591\) 19.5234 23.7552i 0.803086 0.977160i
\(592\) 5.83160 + 2.97135i 0.239677 + 0.122122i
\(593\) 25.7915 25.7915i 1.05913 1.05913i 0.0609902 0.998138i \(-0.480574\pi\)
0.998138 0.0609902i \(-0.0194258\pi\)
\(594\) −28.2677 + 3.84910i −1.15984 + 0.157930i
\(595\) −0.931852 + 0.397052i −0.0382022 + 0.0162775i
\(596\) 5.67931 + 1.84532i 0.232634 + 0.0755873i
\(597\) −1.92761 4.41535i −0.0788920 0.180708i
\(598\) −13.7702 2.18098i −0.563104 0.0891870i
\(599\) 36.9040 1.50786 0.753929 0.656956i \(-0.228156\pi\)
0.753929 + 0.656956i \(0.228156\pi\)
\(600\) −8.60038 + 1.01660i −0.351109 + 0.0415025i
\(601\) 20.4696 0.834972 0.417486 0.908683i \(-0.362911\pi\)
0.417486 + 0.908683i \(0.362911\pi\)
\(602\) −6.06415 0.960467i −0.247156 0.0391457i
\(603\) 7.03205 2.58302i 0.286367 0.105189i
\(604\) −2.87393 0.933797i −0.116939 0.0379956i
\(605\) 41.7226 + 9.57237i 1.69626 + 0.389172i
\(606\) 3.31525 + 12.7414i 0.134673 + 0.517584i
\(607\) −4.57545 + 4.57545i −0.185712 + 0.185712i −0.793839 0.608128i \(-0.791921\pi\)
0.608128 + 0.793839i \(0.291921\pi\)
\(608\) −1.92899 0.982870i −0.0782309 0.0398607i
\(609\) 20.5057 + 16.8528i 0.830933 + 0.682908i
\(610\) 3.75082 + 5.98434i 0.151866 + 0.242299i
\(611\) −19.7363 27.1646i −0.798444 1.09896i
\(612\) 0.0254023 + 0.670589i 0.00102683 + 0.0271070i
\(613\) 4.60648 + 29.0842i 0.186054 + 1.17470i 0.887098 + 0.461581i \(0.152718\pi\)
−0.701044 + 0.713118i \(0.747282\pi\)
\(614\) 5.45004 3.95968i 0.219946 0.159800i
\(615\) 5.85953 + 0.754469i 0.236279 + 0.0304231i
\(616\) −8.99493 6.53520i −0.362416 0.263311i
\(617\) 11.4572 22.4860i 0.461250 0.905254i −0.536852 0.843676i \(-0.680387\pi\)
0.998102 0.0615777i \(-0.0196132\pi\)
\(618\) 11.0624 9.81635i 0.444994 0.394872i
\(619\) −2.83846 + 0.922271i −0.114087 + 0.0370692i −0.365504 0.930810i \(-0.619103\pi\)
0.251417 + 0.967879i \(0.419103\pi\)
\(620\) −6.81096 + 0.605264i −0.273535 + 0.0243080i
\(621\) −9.94112 5.34065i −0.398924 0.214313i
\(622\) −13.7977 27.0796i −0.553239 1.08579i
\(623\) −2.87557 + 18.1557i −0.115207 + 0.727391i
\(624\) −0.662395 + 11.0992i −0.0265170 + 0.444325i
\(625\) 23.4452 8.67882i 0.937809 0.347153i
\(626\) 8.73320i 0.349049i
\(627\) 20.1063 + 4.42629i 0.802967 + 0.176769i
\(628\) 5.55561 2.83072i 0.221693 0.112958i
\(629\) −0.452414 + 1.39239i −0.0180389 + 0.0555181i
\(630\) −13.5783 0.415405i −0.540972 0.0165502i
\(631\) 9.27752 + 28.5533i 0.369332 + 1.13669i 0.947223 + 0.320574i \(0.103876\pi\)
−0.577891 + 0.816114i \(0.696124\pi\)
\(632\) 8.17997 + 8.17997i 0.325382 + 0.325382i
\(633\) 12.4347 21.1815i 0.494235 0.841887i
\(634\) 5.93169 8.16427i 0.235577 0.324245i
\(635\) −25.6194 1.75630i −1.01668 0.0696966i
\(636\) 11.4338 + 17.8890i 0.453378 + 0.709346i
\(637\) 18.3815 2.91135i 0.728303 0.115352i
\(638\) −41.0351 + 6.49933i −1.62460 + 0.257311i
\(639\) −15.9018 + 8.87606i −0.629065 + 0.351131i
\(640\) −1.89467 + 1.18753i −0.0748935 + 0.0469411i
\(641\) 10.4719 14.4133i 0.413614 0.569291i −0.550481 0.834847i \(-0.685556\pi\)
0.964095 + 0.265557i \(0.0855558\pi\)
\(642\) −7.62456 4.47604i −0.300917 0.176655i
\(643\) 10.8997 + 10.8997i 0.429840 + 0.429840i 0.888574 0.458734i \(-0.151697\pi\)
−0.458734 + 0.888574i \(0.651697\pi\)
\(644\) −1.35906 4.18276i −0.0535545 0.164824i
\(645\) 3.30296 11.2682i 0.130054 0.443685i
\(646\) 0.149651 0.460577i 0.00588792 0.0181212i
\(647\) 1.92749 0.982107i 0.0757776 0.0386106i −0.415691 0.909506i \(-0.636460\pi\)
0.491469 + 0.870895i \(0.336460\pi\)
\(648\) −3.46754 + 8.30519i −0.136218 + 0.326259i
\(649\) 31.2980i 1.22855i
\(650\) −5.66011 31.5948i −0.222008 1.23925i
\(651\) −10.7069 0.638977i −0.419635 0.0250435i
\(652\) 0.896493 5.66023i 0.0351094 0.221672i
\(653\) −2.89362 5.67905i −0.113236 0.222238i 0.827432 0.561565i \(-0.189801\pi\)
−0.940668 + 0.339327i \(0.889801\pi\)
\(654\) 6.18659 15.7739i 0.241915 0.616808i
\(655\) −9.05355 21.2480i −0.353752 0.830229i
\(656\) 1.45075 0.471379i 0.0566424 0.0184042i
\(657\) −7.21170 + 5.66880i −0.281355 + 0.221161i
\(658\) 4.80873 9.43766i 0.187464 0.367918i
\(659\) −27.9601 20.3142i −1.08917 0.791330i −0.109913 0.993941i \(-0.535057\pi\)
−0.979259 + 0.202611i \(0.935057\pi\)
\(660\) 14.5932 15.4659i 0.568039 0.602009i
\(661\) −33.8226 + 24.5736i −1.31555 + 0.955801i −0.315572 + 0.948902i \(0.602196\pi\)
−0.999976 + 0.00689972i \(0.997804\pi\)
\(662\) 3.94076 + 24.8810i 0.153162 + 0.967027i
\(663\) −2.47540 + 0.242047i −0.0961366 + 0.00940032i
\(664\) −6.14580 8.45897i −0.238503 0.328272i
\(665\) 9.09455 + 3.65999i 0.352672 + 0.141928i
\(666\) −13.3484 + 14.3996i −0.517242 + 0.557971i
\(667\) −14.6431 7.46104i −0.566984 0.288893i
\(668\) 6.89596 6.89596i 0.266813 0.266813i
\(669\) −9.10219 + 2.36834i −0.351911 + 0.0915654i
\(670\) −2.86932 + 4.79017i −0.110852 + 0.185060i
\(671\) −16.4925 5.35875i −0.636687 0.206872i
\(672\) −3.21455 + 1.40338i −0.124004 + 0.0541366i
\(673\) −5.89775 0.934113i −0.227342 0.0360074i 0.0417241 0.999129i \(-0.486715\pi\)
−0.269066 + 0.963122i \(0.586715\pi\)
\(674\) 30.3577 1.16934
\(675\) 4.10429 25.6545i 0.157974 0.987443i
\(676\) −28.2106 −1.08502
\(677\) −21.6557 3.42993i −0.832297 0.131823i −0.274277 0.961651i \(-0.588439\pi\)
−0.558020 + 0.829828i \(0.688439\pi\)
\(678\) 20.9057 9.12681i 0.802877 0.350513i
\(679\) −4.63951 1.50747i −0.178048 0.0578514i
\(680\) −0.328667 0.377046i −0.0126038 0.0144591i
\(681\) 33.4509 8.70376i 1.28184 0.333529i
\(682\) 11.8717 11.8717i 0.454593 0.454593i
\(683\) 11.0839 + 5.64753i 0.424114 + 0.216097i 0.653002 0.757356i \(-0.273509\pi\)
−0.228888 + 0.973453i \(0.573509\pi\)
\(684\) 4.41543 4.76312i 0.168828 0.182123i
\(685\) 29.2584 7.33742i 1.11790 0.280348i
\(686\) 11.7830 + 16.2179i 0.449875 + 0.619200i
\(687\) −19.8351 + 1.93950i −0.756757 + 0.0739964i
\(688\) −0.474286 2.99453i −0.0180820 0.114165i
\(689\) −63.6603 + 46.2519i −2.42526 + 1.76206i
\(690\) 8.26601 1.55635i 0.314682 0.0592493i
\(691\) 6.87945 + 4.99821i 0.261706 + 0.190141i 0.710899 0.703294i \(-0.248288\pi\)
−0.449193 + 0.893435i \(0.648288\pi\)
\(692\) 7.96363 15.6295i 0.302732 0.594145i
\(693\) 26.2233 20.6130i 0.996141 0.783023i
\(694\) 23.6412 7.68150i 0.897408 0.291586i
\(695\) −19.1977 + 16.7344i −0.728209 + 0.634772i
\(696\) −4.78565 + 12.2019i −0.181400 + 0.462513i
\(697\) 0.154911 + 0.304029i 0.00586765 + 0.0115159i
\(698\) −1.19888 + 7.56945i −0.0453784 + 0.286508i
\(699\) −8.41097 0.501961i −0.318132 0.0189859i
\(700\) 8.06981 6.11570i 0.305010 0.231152i
\(701\) 19.8483i 0.749660i 0.927093 + 0.374830i \(0.122299\pi\)
−0.927093 + 0.374830i \(0.877701\pi\)
\(702\) −31.4927 10.9953i −1.18862 0.414989i
\(703\) 12.6252 6.43284i 0.476167 0.242619i
\(704\) 1.69660 5.22161i 0.0639432 0.196797i
\(705\) 16.7274 + 11.4265i 0.629989 + 0.430346i
\(706\) 0.837472 + 2.57747i 0.0315187 + 0.0970045i
\(707\) −10.8845 10.8845i −0.409353 0.409353i
\(708\) −8.51483 4.99868i −0.320007 0.187862i
\(709\) 2.74291 3.77529i 0.103012 0.141784i −0.754399 0.656416i \(-0.772072\pi\)
0.857411 + 0.514632i \(0.172072\pi\)
\(710\) 5.06767 12.5924i 0.190186 0.472586i
\(711\) −30.3035 + 16.9148i −1.13647 + 0.634355i
\(712\) −8.96541 + 1.41998i −0.335993 + 0.0532160i
\(713\) 6.55944 1.03891i 0.245653 0.0389076i
\(714\) −0.422544 0.661102i −0.0158133 0.0247411i
\(715\) 60.4420 + 50.5763i 2.26040 + 1.89145i
\(716\) −6.83154 + 9.40281i −0.255307 + 0.351399i
\(717\) −14.7122 + 25.0610i −0.549437 + 0.935920i
\(718\) 2.78928 + 2.78928i 0.104095 + 0.104095i
\(719\) −5.35309 16.4751i −0.199637 0.614418i −0.999891 0.0147577i \(-0.995302\pi\)
0.800255 0.599660i \(-0.204698\pi\)
\(720\) −1.87689 6.44029i −0.0699475 0.240015i
\(721\) −5.34349 + 16.4456i −0.199002 + 0.612465i
\(722\) 12.7529 6.49795i 0.474615 0.241829i
\(723\) −28.7721 6.33403i −1.07005 0.235565i
\(724\) 3.95472i 0.146976i
\(725\) 5.16334 37.4823i 0.191761 1.39206i
\(726\) −1.97532 + 33.0989i −0.0733111 + 1.22842i
\(727\) −0.833437 + 5.26211i −0.0309105 + 0.195161i −0.998311 0.0580887i \(-0.981499\pi\)
0.967401 + 0.253250i \(0.0814994\pi\)
\(728\) −5.90192 11.5832i −0.218740 0.429301i
\(729\) −21.1328 16.8049i −0.782696 0.622404i
\(730\) 1.52892 6.66401i 0.0565877 0.246646i
\(731\) 0.645002 0.209574i 0.0238563 0.00775137i
\(732\) −4.09195 + 3.63105i −0.151243 + 0.134207i
\(733\) 7.56657 14.8502i 0.279478 0.548506i −0.708010 0.706202i \(-0.750407\pi\)
0.987488 + 0.157697i \(0.0504068\pi\)
\(734\) −22.7902 16.5580i −0.841201 0.611168i
\(735\) −9.85209 + 5.38559i −0.363400 + 0.198651i
\(736\) 1.75700 1.27654i 0.0647640 0.0470538i
\(737\) −2.14474 13.5414i −0.0790026 0.498803i
\(738\) 0.173226 + 4.57296i 0.00637655 + 0.168333i
\(739\) 4.33206 + 5.96257i 0.159357 + 0.219337i 0.881228 0.472691i \(-0.156717\pi\)
−0.721871 + 0.692028i \(0.756717\pi\)
\(740\) 1.00093 14.6007i 0.0367948 0.536732i
\(741\) 18.5973 + 15.2843i 0.683187 + 0.561482i
\(742\) −22.1171 11.2692i −0.811946 0.413707i
\(743\) 24.6348 24.6348i 0.903763 0.903763i −0.0919959 0.995759i \(-0.529325\pi\)
0.995759 + 0.0919959i \(0.0293247\pi\)
\(744\) −1.33372 5.12587i −0.0488967 0.187923i
\(745\) −1.18196 13.3004i −0.0433037 0.487291i
\(746\) 24.8503 + 8.07436i 0.909835 + 0.295623i
\(747\) 29.4441 10.8154i 1.07730 0.395716i
\(748\) 1.21301 + 0.192122i 0.0443521 + 0.00702468i
\(749\) 10.3371 0.377709
\(750\) 9.62962 + 16.8009i 0.351624 + 0.613482i
\(751\) −16.0915 −0.587188 −0.293594 0.955930i \(-0.594851\pi\)
−0.293594 + 0.955930i \(0.594851\pi\)
\(752\) 5.16609 + 0.818228i 0.188388 + 0.0298377i
\(753\) 18.7822 + 43.0220i 0.684460 + 1.56781i
\(754\) −46.2007 15.0115i −1.68253 0.546687i
\(755\) 0.598113 + 6.73049i 0.0217676 + 0.244948i
\(756\) −1.41972 10.4264i −0.0516347 0.379204i
\(757\) −5.11239 + 5.11239i −0.185813 + 0.185813i −0.793883 0.608070i \(-0.791944\pi\)
0.608070 + 0.793883i \(0.291944\pi\)
\(758\) −19.3529 9.86081i −0.702930 0.358161i
\(759\) −13.1131 + 15.9554i