Properties

Label 475.2.bc.a.6.1
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.1
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.29973 - 1.43703i) q^{2} +(2.30476 - 0.660880i) q^{3} +(2.34697 + 4.81199i) q^{4} +(2.22377 - 0.234179i) q^{5} +(-6.25005 - 1.79217i) q^{6} +(1.23280 - 2.13527i) q^{7} +(0.950677 - 9.04509i) q^{8} +(2.33103 - 1.45659i) q^{9} +O(q^{10})\) \(q+(-2.29973 - 1.43703i) q^{2} +(2.30476 - 0.660880i) q^{3} +(2.34697 + 4.81199i) q^{4} +(2.22377 - 0.234179i) q^{5} +(-6.25005 - 1.79217i) q^{6} +(1.23280 - 2.13527i) q^{7} +(0.950677 - 9.04509i) q^{8} +(2.33103 - 1.45659i) q^{9} +(-5.45060 - 2.65708i) q^{10} +(-2.92924 + 3.25325i) q^{11} +(8.58936 + 9.53945i) q^{12} +(-0.173547 - 4.96974i) q^{13} +(-5.90357 + 3.13899i) q^{14} +(4.97050 - 2.00938i) q^{15} +(-8.59209 + 10.9974i) q^{16} +(-4.87508 + 0.340899i) q^{17} -7.45391 q^{18} +(0.388345 - 4.34157i) q^{19} +(6.34599 + 10.1512i) q^{20} +(1.43015 - 5.73604i) q^{21} +(11.4115 - 3.27219i) q^{22} +(3.20232 - 0.450057i) q^{23} +(-3.78663 - 21.4751i) q^{24} +(4.89032 - 1.04152i) q^{25} +(-6.74257 + 11.6785i) q^{26} +(-0.403171 + 0.447767i) q^{27} +(13.1683 + 0.920815i) q^{28} +(5.33818 + 0.373282i) q^{29} +(-14.3184 - 2.52175i) q^{30} +(7.59354 - 3.38086i) q^{31} +(18.4703 - 6.72262i) q^{32} +(-4.60120 + 9.43385i) q^{33} +(11.7013 + 6.22167i) q^{34} +(2.24143 - 5.03706i) q^{35} +(12.4799 + 7.79833i) q^{36} +(0.586232 - 1.80424i) q^{37} +(-7.13206 + 9.42638i) q^{38} +(-3.68439 - 11.3394i) q^{39} +(-0.00408442 - 20.3368i) q^{40} +(-4.18856 + 5.36111i) q^{41} +(-11.5318 + 11.1362i) q^{42} +(0.722383 + 4.09683i) q^{43} +(-22.5294 - 6.46021i) q^{44} +(4.84257 - 3.78500i) q^{45} +(-8.01122 - 3.56683i) q^{46} +(0.529117 + 0.0369994i) q^{47} +(-12.5348 + 31.0247i) q^{48} +(0.460402 + 0.797439i) q^{49} +(-12.7431 - 4.63232i) q^{50} +(-11.0106 + 4.00753i) q^{51} +(23.5071 - 12.4989i) q^{52} +(2.62215 + 5.37621i) q^{53} +(1.57064 - 0.450374i) q^{54} +(-5.75211 + 7.92045i) q^{55} +(-18.1417 - 13.1808i) q^{56} +(-1.97421 - 10.2629i) q^{57} +(-11.7400 - 8.52959i) q^{58} +(-1.15645 - 2.86232i) q^{59} +(21.3347 + 19.2021i) q^{60} +(-4.50151 + 0.632647i) q^{61} +(-22.3215 - 3.13709i) q^{62} +(-0.236521 - 6.77307i) q^{63} +(-24.8355 - 5.27894i) q^{64} +(-1.54974 - 11.0109i) q^{65} +(24.1383 - 15.0833i) q^{66} +(1.79981 + 7.21864i) q^{67} +(-13.0820 - 22.6588i) q^{68} +(7.08316 - 3.15362i) q^{69} +(-12.3931 + 8.36288i) q^{70} +(-1.62573 - 1.56995i) q^{71} +(-10.9589 - 22.4691i) q^{72} +(-0.163008 + 4.66795i) q^{73} +(-3.94092 + 3.30683i) q^{74} +(10.5827 - 5.63238i) q^{75} +(21.8030 - 8.32079i) q^{76} +(3.33541 + 10.2653i) q^{77} +(-7.82196 + 31.3722i) q^{78} +(-9.15123 + 2.62407i) q^{79} +(-16.5315 + 26.4677i) q^{80} +(-4.24815 + 8.70999i) q^{81} +(17.3367 - 6.31003i) q^{82} +(2.33959 - 1.04165i) q^{83} +(30.9583 - 6.58039i) q^{84} +(-10.7612 + 1.89972i) q^{85} +(4.22600 - 10.4597i) q^{86} +(12.5499 - 2.66757i) q^{87} +(26.6412 + 29.5880i) q^{88} +(5.74745 + 7.35640i) q^{89} +(-16.5758 + 1.74555i) q^{90} +(-10.8257 - 5.75614i) q^{91} +(9.68140 + 14.3533i) q^{92} +(15.2670 - 12.8105i) q^{93} +(-1.16366 - 0.845447i) q^{94} +(-0.153114 - 9.74559i) q^{95} +(38.1267 - 27.7007i) q^{96} +(0.160569 - 0.644008i) q^{97} +(0.0871451 - 2.49551i) q^{98} +(-2.08950 + 11.8501i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.29973 1.43703i −1.62616 1.01614i −0.963682 0.267051i \(-0.913951\pi\)
−0.662474 0.749085i \(-0.730494\pi\)
\(3\) 2.30476 0.660880i 1.33066 0.381559i 0.466383 0.884583i \(-0.345557\pi\)
0.864273 + 0.503023i \(0.167779\pi\)
\(4\) 2.34697 + 4.81199i 1.17348 + 2.40600i
\(5\) 2.22377 0.234179i 0.994501 0.104728i
\(6\) −6.25005 1.79217i −2.55157 0.731651i
\(7\) 1.23280 2.13527i 0.465955 0.807058i −0.533289 0.845933i \(-0.679044\pi\)
0.999244 + 0.0388752i \(0.0123775\pi\)
\(8\) 0.950677 9.04509i 0.336115 3.19792i
\(9\) 2.33103 1.45659i 0.777010 0.485530i
\(10\) −5.45060 2.65708i −1.72363 0.840243i
\(11\) −2.92924 + 3.25325i −0.883199 + 0.980892i −0.999925 0.0122725i \(-0.996093\pi\)
0.116726 + 0.993164i \(0.462760\pi\)
\(12\) 8.58936 + 9.53945i 2.47953 + 2.75380i
\(13\) −0.173547 4.96974i −0.0481333 1.37836i −0.747816 0.663905i \(-0.768898\pi\)
0.699683 0.714453i \(-0.253325\pi\)
\(14\) −5.90357 + 3.13899i −1.57780 + 0.838929i
\(15\) 4.97050 2.00938i 1.28338 0.518818i
\(16\) −8.59209 + 10.9974i −2.14802 + 2.74934i
\(17\) −4.87508 + 0.340899i −1.18238 + 0.0826801i −0.647377 0.762170i \(-0.724134\pi\)
−0.535003 + 0.844850i \(0.679690\pi\)
\(18\) −7.45391 −1.75690
\(19\) 0.388345 4.34157i 0.0890925 0.996023i
\(20\) 6.34599 + 10.1512i 1.41901 + 2.26987i
\(21\) 1.43015 5.73604i 0.312085 1.25171i
\(22\) 11.4115 3.27219i 2.43294 0.697634i
\(23\) 3.20232 0.450057i 0.667730 0.0938433i 0.202840 0.979212i \(-0.434983\pi\)
0.464890 + 0.885369i \(0.346094\pi\)
\(24\) −3.78663 21.4751i −0.772944 4.38358i
\(25\) 4.89032 1.04152i 0.978064 0.208305i
\(26\) −6.74257 + 11.6785i −1.32233 + 2.29034i
\(27\) −0.403171 + 0.447767i −0.0775903 + 0.0861728i
\(28\) 13.1683 + 0.920815i 2.48857 + 0.174018i
\(29\) 5.33818 + 0.373282i 0.991275 + 0.0693167i 0.556175 0.831065i \(-0.312268\pi\)
0.435100 + 0.900382i \(0.356713\pi\)
\(30\) −14.3184 2.52175i −2.61416 0.460406i
\(31\) 7.59354 3.38086i 1.36384 0.607221i 0.411263 0.911517i \(-0.365088\pi\)
0.952578 + 0.304296i \(0.0984211\pi\)
\(32\) 18.4703 6.72262i 3.26511 1.18840i
\(33\) −4.60120 + 9.43385i −0.800965 + 1.64222i
\(34\) 11.7013 + 6.22167i 2.00675 + 1.06701i
\(35\) 2.24143 5.03706i 0.378871 0.851418i
\(36\) 12.4799 + 7.79833i 2.07999 + 1.29972i
\(37\) 0.586232 1.80424i 0.0963759 0.296615i −0.891234 0.453544i \(-0.850160\pi\)
0.987610 + 0.156929i \(0.0501595\pi\)
\(38\) −7.13206 + 9.42638i −1.15697 + 1.52916i
\(39\) −3.68439 11.3394i −0.589975 1.81576i
\(40\) −0.00408442 20.3368i −0.000645803 3.21554i
\(41\) −4.18856 + 5.36111i −0.654143 + 0.837265i −0.994685 0.102964i \(-0.967167\pi\)
0.340542 + 0.940229i \(0.389390\pi\)
\(42\) −11.5318 + 11.1362i −1.77940 + 1.71835i
\(43\) 0.722383 + 4.09683i 0.110162 + 0.624761i 0.989032 + 0.147700i \(0.0471870\pi\)
−0.878870 + 0.477062i \(0.841702\pi\)
\(44\) −22.5294 6.46021i −3.39644 0.973914i
\(45\) 4.84257 3.78500i 0.721888 0.564234i
\(46\) −8.01122 3.56683i −1.18119 0.525900i
\(47\) 0.529117 + 0.0369994i 0.0771796 + 0.00539692i 0.108294 0.994119i \(-0.465461\pi\)
−0.0311145 + 0.999516i \(0.509906\pi\)
\(48\) −12.5348 + 31.0247i −1.80924 + 4.47803i
\(49\) 0.460402 + 0.797439i 0.0657717 + 0.113920i
\(50\) −12.7431 4.63232i −1.80215 0.655110i
\(51\) −11.0106 + 4.00753i −1.54179 + 0.561167i
\(52\) 23.5071 12.4989i 3.25984 1.73329i
\(53\) 2.62215 + 5.37621i 0.360180 + 0.738479i 0.999537 0.0304314i \(-0.00968810\pi\)
−0.639357 + 0.768910i \(0.720799\pi\)
\(54\) 1.57064 0.450374i 0.213737 0.0612881i
\(55\) −5.75211 + 7.92045i −0.775615 + 1.06799i
\(56\) −18.1417 13.1808i −2.42429 1.76135i
\(57\) −1.97421 10.2629i −0.261491 1.35936i
\(58\) −11.7400 8.52959i −1.54153 1.11999i
\(59\) −1.15645 2.86232i −0.150557 0.372642i 0.832991 0.553286i \(-0.186626\pi\)
−0.983549 + 0.180644i \(0.942182\pi\)
\(60\) 21.3347 + 19.2021i 2.75430 + 2.47898i
\(61\) −4.50151 + 0.632647i −0.576360 + 0.0810021i −0.421330 0.906908i \(-0.638436\pi\)
−0.155030 + 0.987910i \(0.549548\pi\)
\(62\) −22.3215 3.13709i −2.83484 0.398410i
\(63\) −0.236521 6.77307i −0.0297988 0.853327i
\(64\) −24.8355 5.27894i −3.10443 0.659868i
\(65\) −1.54974 11.0109i −0.192222 1.36574i
\(66\) 24.1383 15.0833i 2.97122 1.85662i
\(67\) 1.79981 + 7.21864i 0.219882 + 0.881897i 0.974255 + 0.225451i \(0.0723855\pi\)
−0.754373 + 0.656446i \(0.772059\pi\)
\(68\) −13.0820 22.6588i −1.58643 2.74778i
\(69\) 7.08316 3.15362i 0.852712 0.379652i
\(70\) −12.3931 + 8.36288i −1.48126 + 0.999556i
\(71\) −1.62573 1.56995i −0.192939 0.186319i 0.591914 0.806001i \(-0.298373\pi\)
−0.784853 + 0.619682i \(0.787261\pi\)
\(72\) −10.9589 22.4691i −1.29152 2.64801i
\(73\) −0.163008 + 4.66795i −0.0190787 + 0.546342i 0.951793 + 0.306742i \(0.0992387\pi\)
−0.970872 + 0.239601i \(0.922983\pi\)
\(74\) −3.94092 + 3.30683i −0.458123 + 0.384411i
\(75\) 10.5827 5.63238i 1.22199 0.650371i
\(76\) 21.8030 8.32079i 2.50098 0.954460i
\(77\) 3.33541 + 10.2653i 0.380105 + 1.16984i
\(78\) −7.82196 + 31.3722i −0.885662 + 3.55220i
\(79\) −9.15123 + 2.62407i −1.02959 + 0.295231i −0.747575 0.664178i \(-0.768782\pi\)
−0.282019 + 0.959409i \(0.591004\pi\)
\(80\) −16.5315 + 26.4677i −1.84828 + 2.95918i
\(81\) −4.24815 + 8.70999i −0.472016 + 0.967776i
\(82\) 17.3367 6.31003i 1.91451 0.696826i
\(83\) 2.33959 1.04165i 0.256803 0.114336i −0.274298 0.961645i \(-0.588445\pi\)
0.531101 + 0.847309i \(0.321779\pi\)
\(84\) 30.9583 6.58039i 3.37783 0.717979i
\(85\) −10.7612 + 1.89972i −1.16722 + 0.206054i
\(86\) 4.22600 10.4597i 0.455701 1.12790i
\(87\) 12.5499 2.66757i 1.34549 0.285994i
\(88\) 26.6412 + 29.5880i 2.83996 + 3.15409i
\(89\) 5.74745 + 7.35640i 0.609228 + 0.779777i 0.989412 0.145134i \(-0.0463615\pi\)
−0.380184 + 0.924911i \(0.624139\pi\)
\(90\) −16.5758 + 1.74555i −1.74724 + 0.183997i
\(91\) −10.8257 5.75614i −1.13484 0.603407i
\(92\) 9.68140 + 14.3533i 1.00936 + 1.49643i
\(93\) 15.2670 12.8105i 1.58311 1.32839i
\(94\) −1.16366 0.845447i −0.120022 0.0872012i
\(95\) −0.153114 9.74559i −0.0157092 0.999877i
\(96\) 38.1267 27.7007i 3.89129 2.82719i
\(97\) 0.160569 0.644008i 0.0163033 0.0653892i −0.961593 0.274479i \(-0.911495\pi\)
0.977896 + 0.209090i \(0.0670501\pi\)
\(98\) 0.0871451 2.49551i 0.00880298 0.252084i
\(99\) −2.08950 + 11.8501i −0.210002 + 1.19098i
\(100\) 16.4892 + 21.0878i 1.64892 + 2.10878i
\(101\) −0.252070 + 0.0917461i −0.0250819 + 0.00912908i −0.354531 0.935044i \(-0.615359\pi\)
0.329449 + 0.944173i \(0.393137\pi\)
\(102\) 31.0804 + 6.60635i 3.07742 + 0.654126i
\(103\) −14.5492 6.47774i −1.43358 0.638271i −0.464625 0.885508i \(-0.653811\pi\)
−0.968955 + 0.247237i \(0.920477\pi\)
\(104\) −45.1167 3.15487i −4.42406 0.309360i
\(105\) 1.83708 13.0906i 0.179280 1.27751i
\(106\) 1.69554 16.1320i 0.164685 1.56687i
\(107\) −6.53985 + 11.3274i −0.632231 + 1.09506i 0.354863 + 0.934918i \(0.384527\pi\)
−0.987095 + 0.160138i \(0.948806\pi\)
\(108\) −3.10088 0.889163i −0.298382 0.0855597i
\(109\) 11.1651 + 1.56915i 1.06942 + 0.150298i 0.651851 0.758347i \(-0.273993\pi\)
0.417571 + 0.908644i \(0.362881\pi\)
\(110\) 24.6103 9.94895i 2.34650 0.948595i
\(111\) 0.158742 4.54577i 0.0150671 0.431465i
\(112\) 12.8901 + 31.9040i 1.21800 + 3.01465i
\(113\) 3.52347 10.8441i 0.331460 1.02013i −0.636979 0.770881i \(-0.719816\pi\)
0.968439 0.249249i \(-0.0801838\pi\)
\(114\) −10.2080 + 26.4390i −0.956068 + 2.47624i
\(115\) 7.01583 1.75074i 0.654230 0.163257i
\(116\) 10.7323 + 26.5634i 0.996469 + 2.46635i
\(117\) −7.64342 11.3318i −0.706634 1.04763i
\(118\) −1.45372 + 8.24443i −0.133825 + 0.758962i
\(119\) −5.28209 + 10.8299i −0.484208 + 0.992774i
\(120\) −13.4496 46.8689i −1.22778 4.27853i
\(121\) −0.853378 8.11935i −0.0775798 0.738123i
\(122\) 11.2614 + 5.01390i 1.01956 + 0.453938i
\(123\) −6.11059 + 15.1242i −0.550973 + 1.36371i
\(124\) 34.0905 + 28.6053i 3.06142 + 2.56883i
\(125\) 10.6311 3.46132i 0.950870 0.309590i
\(126\) −9.18919 + 15.9161i −0.818638 + 1.41792i
\(127\) 6.88455 + 8.81182i 0.610905 + 0.781923i 0.989638 0.143583i \(-0.0458625\pi\)
−0.378733 + 0.925506i \(0.623640\pi\)
\(128\) 21.2508 + 20.5217i 1.87832 + 1.81388i
\(129\) 4.37244 + 8.96483i 0.384972 + 0.789309i
\(130\) −12.2591 + 27.5492i −1.07519 + 2.41623i
\(131\) −16.7510 + 1.17134i −1.46354 + 0.102341i −0.779177 0.626804i \(-0.784363\pi\)
−0.684360 + 0.729144i \(0.739918\pi\)
\(132\) −56.1945 −4.89110
\(133\) −8.79168 6.18151i −0.762335 0.536005i
\(134\) 6.23434 19.1873i 0.538565 1.65753i
\(135\) −0.791703 + 1.09015i −0.0681389 + 0.0938248i
\(136\) −1.55117 + 44.4196i −0.133011 + 3.80895i
\(137\) −16.3467 8.69167i −1.39659 0.742580i −0.410984 0.911643i \(-0.634815\pi\)
−0.985605 + 0.169063i \(0.945926\pi\)
\(138\) −20.8212 2.92623i −1.77242 0.249097i
\(139\) 9.53296 + 12.2016i 0.808575 + 1.03493i 0.998587 + 0.0531475i \(0.0169253\pi\)
−0.190011 + 0.981782i \(0.560852\pi\)
\(140\) 29.4989 1.03605i 2.49311 0.0875626i
\(141\) 1.24394 0.264408i 0.104759 0.0222672i
\(142\) 1.48268 + 5.94669i 0.124423 + 0.499035i
\(143\) 16.6762 + 13.9930i 1.39453 + 1.17015i
\(144\) −4.00976 + 38.1503i −0.334147 + 3.17919i
\(145\) 11.9583 0.419998i 0.993083 0.0348789i
\(146\) 7.08287 10.5008i 0.586183 0.869051i
\(147\) 1.58813 + 1.53364i 0.130987 + 0.126492i
\(148\) 10.0578 1.41354i 0.826749 0.116192i
\(149\) 8.02588 + 2.92118i 0.657505 + 0.239312i 0.649159 0.760653i \(-0.275121\pi\)
0.00834649 + 0.999965i \(0.497343\pi\)
\(150\) −32.4313 2.25473i −2.64801 0.184098i
\(151\) −3.90939 −0.318141 −0.159071 0.987267i \(-0.550850\pi\)
−0.159071 + 0.987267i \(0.550850\pi\)
\(152\) −38.9006 7.64004i −3.15526 0.619689i
\(153\) −10.8674 + 7.89563i −0.878577 + 0.638324i
\(154\) 7.08107 28.4006i 0.570609 2.28859i
\(155\) 16.0946 9.29652i 1.29275 0.746714i
\(156\) 45.9179 44.3424i 3.67638 3.55024i
\(157\) −0.615040 3.48807i −0.0490855 0.278378i 0.950379 0.311094i \(-0.100695\pi\)
−0.999465 + 0.0327161i \(0.989584\pi\)
\(158\) 24.8163 + 7.11595i 1.97428 + 0.566114i
\(159\) 9.59647 + 10.6580i 0.761050 + 0.845231i
\(160\) 39.4993 19.2749i 3.12270 1.52382i
\(161\) 2.98683 7.39266i 0.235395 0.582623i
\(162\) 22.2861 13.9259i 1.75096 1.09412i
\(163\) −21.3992 + 4.54853i −1.67611 + 0.356269i −0.945273 0.326281i \(-0.894204\pi\)
−0.730839 + 0.682550i \(0.760871\pi\)
\(164\) −35.6281 7.57298i −2.78208 0.591350i
\(165\) −8.02279 + 22.0562i −0.624574 + 1.71708i
\(166\) −6.87731 0.966543i −0.533783 0.0750183i
\(167\) 5.91197 5.70912i 0.457482 0.441785i −0.429861 0.902895i \(-0.641437\pi\)
0.887343 + 0.461110i \(0.152549\pi\)
\(168\) −50.5233 18.3890i −3.89796 1.41874i
\(169\) −11.6999 + 0.818136i −0.899992 + 0.0629336i
\(170\) 27.4779 + 11.0954i 2.10746 + 0.850977i
\(171\) −5.41863 10.6860i −0.414373 0.817177i
\(172\) −18.0185 + 13.0912i −1.37390 + 0.998197i
\(173\) −7.08297 4.42593i −0.538509 0.336497i 0.233246 0.972418i \(-0.425065\pi\)
−0.771755 + 0.635920i \(0.780621\pi\)
\(174\) −32.6949 11.9000i −2.47859 0.902134i
\(175\) 3.80486 11.7262i 0.287620 0.886415i
\(176\) −10.6089 60.1661i −0.799677 4.53519i
\(177\) −4.55700 5.83270i −0.342525 0.438412i
\(178\) −2.64621 25.1770i −0.198342 1.88710i
\(179\) 6.65160 + 2.96148i 0.497164 + 0.221352i 0.639971 0.768399i \(-0.278946\pi\)
−0.142807 + 0.989751i \(0.545613\pi\)
\(180\) 29.5788 + 14.4192i 2.20467 + 1.07474i
\(181\) 0.294600 + 1.18157i 0.0218974 + 0.0878258i 0.980250 0.197761i \(-0.0633670\pi\)
−0.958353 + 0.285587i \(0.907811\pi\)
\(182\) 16.6245 + 28.7945i 1.23229 + 2.13439i
\(183\) −9.95682 + 4.43306i −0.736030 + 0.327701i
\(184\) −1.02643 29.3931i −0.0756694 2.16689i
\(185\) 0.881131 4.14949i 0.0647820 0.305077i
\(186\) −53.5191 + 7.52162i −3.92421 + 0.551512i
\(187\) 13.1712 16.8584i 0.963176 1.23281i
\(188\) 1.06378 + 2.63294i 0.0775840 + 0.192027i
\(189\) 0.459075 + 1.41289i 0.0333928 + 0.102773i
\(190\) −13.6526 + 22.6323i −0.990464 + 1.64192i
\(191\) −1.49500 + 4.60114i −0.108174 + 0.332927i −0.990462 0.137783i \(-0.956002\pi\)
0.882288 + 0.470710i \(0.156002\pi\)
\(192\) −60.7287 + 4.24656i −4.38271 + 0.306469i
\(193\) 19.3306 + 7.03577i 1.39145 + 0.506446i 0.925628 0.378434i \(-0.123537\pi\)
0.465820 + 0.884880i \(0.345759\pi\)
\(194\) −1.29473 + 1.25030i −0.0929560 + 0.0897666i
\(195\) −10.8487 24.3534i −0.776891 1.74398i
\(196\) −2.75672 + 4.08701i −0.196909 + 0.291929i
\(197\) 0.0801702 + 0.762769i 0.00571189 + 0.0543450i 0.997007 0.0773169i \(-0.0246353\pi\)
−0.991295 + 0.131662i \(0.957969\pi\)
\(198\) 21.8343 24.2494i 1.55169 1.72333i
\(199\) −3.52195 2.95527i −0.249665 0.209493i 0.509363 0.860552i \(-0.329881\pi\)
−0.759028 + 0.651058i \(0.774325\pi\)
\(200\) −4.77155 45.2235i −0.337400 3.19779i
\(201\) 8.91879 + 15.4478i 0.629083 + 1.08960i
\(202\) 0.711537 + 0.151242i 0.0500635 + 0.0106413i
\(203\) 7.37798 10.9383i 0.517832 0.767718i
\(204\) −45.1258 43.5774i −3.15944 3.05103i
\(205\) −8.05894 + 12.9028i −0.562861 + 0.901168i
\(206\) 24.1507 + 35.8048i 1.68266 + 2.49464i
\(207\) 6.80915 5.71356i 0.473269 0.397120i
\(208\) 56.1453 + 40.7919i 3.89297 + 2.82841i
\(209\) 12.9866 + 13.9809i 0.898305 + 0.967077i
\(210\) −23.0363 + 27.4648i −1.58966 + 1.89525i
\(211\) −10.2840 6.42613i −0.707977 0.442393i 0.127558 0.991831i \(-0.459286\pi\)
−0.835534 + 0.549438i \(0.814842\pi\)
\(212\) −19.7162 + 25.2356i −1.35411 + 1.73319i
\(213\) −4.78447 2.54395i −0.327827 0.174309i
\(214\) 31.3177 16.6519i 2.14083 1.13830i
\(215\) 2.56581 + 8.94126i 0.174987 + 0.609789i
\(216\) 3.66680 + 4.07240i 0.249494 + 0.277092i
\(217\) 2.14226 20.3822i 0.145426 1.38364i
\(218\) −23.4218 19.6532i −1.58633 1.33109i
\(219\) 2.70926 + 10.8663i 0.183075 + 0.734273i
\(220\) −51.6132 9.09011i −3.47976 0.612855i
\(221\) 2.54024 + 24.1687i 0.170875 + 1.62576i
\(222\) −6.89748 + 10.2259i −0.462928 + 0.686320i
\(223\) 10.1352 5.38900i 0.678705 0.360874i −0.0940594 0.995567i \(-0.529984\pi\)
0.772765 + 0.634693i \(0.218873\pi\)
\(224\) 8.41551 47.7267i 0.562285 3.18888i
\(225\) 9.88241 9.55101i 0.658827 0.636734i
\(226\) −23.6864 + 19.8753i −1.57560 + 1.32208i
\(227\) −0.932785 2.87082i −0.0619111 0.190543i 0.915317 0.402734i \(-0.131940\pi\)
−0.977228 + 0.212191i \(0.931940\pi\)
\(228\) 44.7518 33.5866i 2.96376 2.22433i
\(229\) −14.6422 + 10.6382i −0.967581 + 0.702989i −0.954899 0.296931i \(-0.904037\pi\)
−0.0126821 + 0.999920i \(0.504037\pi\)
\(230\) −18.6504 6.05574i −1.22977 0.399304i
\(231\) 14.4715 + 21.4549i 0.952155 + 1.41163i
\(232\) 8.45125 47.9294i 0.554852 3.14672i
\(233\) −0.812328 + 1.66552i −0.0532173 + 0.109112i −0.923745 0.383007i \(-0.874889\pi\)
0.870528 + 0.492119i \(0.163777\pi\)
\(234\) 1.29361 + 37.0440i 0.0845656 + 2.42164i
\(235\) 1.18530 0.0416299i 0.0773204 0.00271564i
\(236\) 11.0593 12.2826i 0.719900 0.799530i
\(237\) −19.3572 + 12.0957i −1.25739 + 0.785702i
\(238\) 27.7103 17.3153i 1.79619 1.12239i
\(239\) −7.55891 + 8.39502i −0.488945 + 0.543029i −0.936242 0.351357i \(-0.885720\pi\)
0.447296 + 0.894386i \(0.352387\pi\)
\(240\) −20.6092 + 71.9272i −1.33032 + 4.64288i
\(241\) 0.645844 + 18.4946i 0.0416025 + 1.19134i 0.823272 + 0.567647i \(0.192146\pi\)
−0.781670 + 0.623692i \(0.785632\pi\)
\(242\) −9.70523 + 19.8987i −0.623876 + 1.27913i
\(243\) −3.72083 + 21.1019i −0.238691 + 1.35368i
\(244\) −13.6092 20.1765i −0.871239 1.29167i
\(245\) 1.21057 + 1.66551i 0.0773406 + 0.106405i
\(246\) 35.7868 26.0006i 2.28168 1.65774i
\(247\) −21.6439 1.17651i −1.37717 0.0748595i
\(248\) −23.3612 71.8984i −1.48344 4.56555i
\(249\) 4.70379 3.94695i 0.298090 0.250128i
\(250\) −29.4226 7.31705i −1.86085 0.462771i
\(251\) 1.05825 6.00164i 0.0667962 0.378820i −0.933023 0.359816i \(-0.882839\pi\)
0.999819 0.0190040i \(-0.00604953\pi\)
\(252\) 32.0369 17.0343i 2.01813 1.07306i
\(253\) −7.91621 + 11.7363i −0.497688 + 0.737853i
\(254\) −3.16975 30.1582i −0.198888 1.89229i
\(255\) −23.5466 + 11.4903i −1.47455 + 0.719550i
\(256\) −7.09592 28.4602i −0.443495 1.77876i
\(257\) −12.1252 10.1743i −0.756351 0.634654i 0.180823 0.983516i \(-0.442124\pi\)
−0.937174 + 0.348862i \(0.886568\pi\)
\(258\) 2.82731 26.9000i 0.176021 1.67472i
\(259\) −3.12983 3.47603i −0.194478 0.215990i
\(260\) 49.3473 33.2996i 3.06039 2.06516i
\(261\) 12.9872 6.90540i 0.803886 0.427434i
\(262\) 40.2060 + 21.3779i 2.48393 + 1.32073i
\(263\) −11.8249 + 15.1352i −0.729155 + 0.933276i −0.999566 0.0294688i \(-0.990618\pi\)
0.270410 + 0.962745i \(0.412841\pi\)
\(264\) 80.9557 + 50.5868i 4.98248 + 3.11340i
\(265\) 7.09006 + 11.3414i 0.435539 + 0.696697i
\(266\) 11.3355 + 26.8498i 0.695023 + 1.64626i
\(267\) 18.1082 + 13.1564i 1.10820 + 0.805158i
\(268\) −30.5120 + 25.6026i −1.86381 + 1.56393i
\(269\) 0.239233 + 0.354677i 0.0145863 + 0.0216250i 0.836260 0.548333i \(-0.184737\pi\)
−0.821674 + 0.569958i \(0.806960\pi\)
\(270\) 3.38728 1.36934i 0.206143 0.0833354i
\(271\) 3.27713 + 3.16469i 0.199071 + 0.192241i 0.787512 0.616300i \(-0.211369\pi\)
−0.588440 + 0.808541i \(0.700258\pi\)
\(272\) 38.1381 56.5421i 2.31246 3.42837i
\(273\) −28.7548 6.11203i −1.74032 0.369917i
\(274\) 25.1027 + 43.4792i 1.51651 + 2.62667i
\(275\) −10.9366 + 18.9603i −0.659501 + 1.14335i
\(276\) 31.7991 + 26.6827i 1.91408 + 1.60611i
\(277\) −1.15418 + 1.28185i −0.0693482 + 0.0770190i −0.776820 0.629722i \(-0.783169\pi\)
0.707472 + 0.706741i \(0.249835\pi\)
\(278\) −4.38912 41.7597i −0.263242 2.50458i
\(279\) 12.7762 18.9416i 0.764894 1.13400i
\(280\) −43.4298 25.0626i −2.59542 1.49777i
\(281\) 3.75335 3.62457i 0.223906 0.216224i −0.574241 0.818686i \(-0.694703\pi\)
0.798147 + 0.602463i \(0.205814\pi\)
\(282\) −3.24070 1.17952i −0.192981 0.0702392i
\(283\) 22.3055 1.55975i 1.32592 0.0927176i 0.610839 0.791755i \(-0.290832\pi\)
0.715085 + 0.699038i \(0.246388\pi\)
\(284\) 3.73905 11.5076i 0.221872 0.682852i
\(285\) −6.79356 22.3601i −0.402416 1.32450i
\(286\) −18.2424 56.1443i −1.07870 3.31988i
\(287\) 6.28379 + 15.5529i 0.370920 + 0.918060i
\(288\) 33.2626 42.5742i 1.96002 2.50871i
\(289\) 6.81562 0.957872i 0.400919 0.0563454i
\(290\) −28.1045 16.2186i −1.65035 0.952389i
\(291\) −0.0555382 1.59040i −0.00325570 0.0932312i
\(292\) −22.8447 + 10.1711i −1.33689 + 0.595220i
\(293\) −5.70096 9.87436i −0.333054 0.576866i 0.650055 0.759887i \(-0.274746\pi\)
−0.983109 + 0.183021i \(0.941412\pi\)
\(294\) −1.44838 5.80915i −0.0844715 0.338797i
\(295\) −3.24198 6.09433i −0.188756 0.354826i
\(296\) −15.7622 7.01776i −0.916157 0.407899i
\(297\) −0.275713 2.62323i −0.0159985 0.152215i
\(298\) −14.2595 18.2514i −0.826033 1.05727i
\(299\) −2.79242 15.8366i −0.161490 0.915854i
\(300\) 51.9402 + 37.7049i 2.99877 + 2.17690i
\(301\) 9.63842 + 3.50810i 0.555549 + 0.202203i
\(302\) 8.99055 + 5.61792i 0.517348 + 0.323275i
\(303\) −0.520329 + 0.378041i −0.0298921 + 0.0217179i
\(304\) 44.4091 + 41.5739i 2.54704 + 2.38443i
\(305\) −9.86219 + 2.46102i −0.564707 + 0.140918i
\(306\) 36.3384 2.54103i 2.07733 0.145261i
\(307\) −30.6977 11.1730i −1.75201 0.637679i −0.752235 0.658895i \(-0.771024\pi\)
−0.999775 + 0.0212156i \(0.993246\pi\)
\(308\) −41.5687 + 40.1424i −2.36859 + 2.28732i
\(309\) −37.8136 5.31435i −2.15114 0.302323i
\(310\) −50.3726 1.74892i −2.86097 0.0993321i
\(311\) −15.2455 3.24053i −0.864492 0.183753i −0.245736 0.969337i \(-0.579030\pi\)
−0.618756 + 0.785583i \(0.712363\pi\)
\(312\) −106.068 + 22.5455i −6.00494 + 1.27639i
\(313\) 15.8899 9.92914i 0.898153 0.561228i −0.000445586 1.00000i \(-0.500142\pi\)
0.898599 + 0.438772i \(0.144586\pi\)
\(314\) −3.59804 + 8.90545i −0.203049 + 0.502564i
\(315\) −2.11208 15.0064i −0.119002 0.845514i
\(316\) −34.1046 37.8770i −1.91854 2.13075i
\(317\) 26.3460 + 7.55458i 1.47974 + 0.424308i 0.915842 0.401539i \(-0.131525\pi\)
0.563895 + 0.825847i \(0.309302\pi\)
\(318\) −6.75348 38.3009i −0.378717 2.14781i
\(319\) −16.8512 + 16.2730i −0.943485 + 0.911113i
\(320\) −56.4647 5.92321i −3.15647 0.331117i
\(321\) −7.58678 + 30.4289i −0.423453 + 1.69838i
\(322\) −17.4924 + 12.7090i −0.974813 + 0.708243i
\(323\) −0.413179 + 21.2979i −0.0229899 + 1.18504i
\(324\) −51.8827 −2.88237
\(325\) −6.02480 24.1229i −0.334196 1.33810i
\(326\) 55.7487 + 20.2909i 3.08764 + 1.12381i
\(327\) 26.7699 3.76227i 1.48038 0.208054i
\(328\) 44.5098 + 42.9826i 2.45764 + 2.37332i
\(329\) 0.731300 1.08420i 0.0403179 0.0597737i
\(330\) 50.1458 39.1944i 2.76044 2.15758i
\(331\) 2.69237 25.6162i 0.147986 1.40799i −0.628475 0.777830i \(-0.716321\pi\)
0.776461 0.630165i \(-0.217013\pi\)
\(332\) 10.5033 + 8.81336i 0.576446 + 0.483696i
\(333\) −1.26151 5.05963i −0.0691301 0.277266i
\(334\) −21.8002 + 4.63377i −1.19285 + 0.253548i
\(335\) 5.69282 + 15.6311i 0.311032 + 0.854020i
\(336\) 50.7933 + 65.0125i 2.77100 + 3.54672i
\(337\) 25.7078 + 3.61299i 1.40039 + 0.196812i 0.798610 0.601848i \(-0.205569\pi\)
0.601782 + 0.798661i \(0.294458\pi\)
\(338\) 28.0823 + 14.9316i 1.52748 + 0.812174i
\(339\) 0.954097 27.3218i 0.0518194 1.48391i
\(340\) −34.3977 47.3244i −1.86548 2.56652i
\(341\) −11.2445 + 34.6070i −0.608924 + 1.87408i
\(342\) −2.89469 + 32.3616i −0.156527 + 1.74992i
\(343\) 19.5296 1.05450
\(344\) 37.7430 2.63925i 2.03497 0.142299i
\(345\) 15.0128 8.67167i 0.808262 0.466867i
\(346\) 9.92874 + 20.3569i 0.533772 + 1.09440i
\(347\) −1.78126 1.72015i −0.0956233 0.0923423i 0.645311 0.763920i \(-0.276728\pi\)
−0.740934 + 0.671578i \(0.765617\pi\)
\(348\) 42.2906 + 54.1295i 2.26702 + 2.90165i
\(349\) 16.6991 28.9237i 0.893883 1.54825i 0.0587021 0.998276i \(-0.481304\pi\)
0.835181 0.549975i \(-0.185363\pi\)
\(350\) −25.6010 + 21.4993i −1.36843 + 1.14919i
\(351\) 2.29526 + 1.92595i 0.122512 + 0.102799i
\(352\) −32.2334 + 79.7805i −1.71805 + 4.25232i
\(353\) 23.5038 + 10.4645i 1.25098 + 0.556972i 0.921936 0.387343i \(-0.126607\pi\)
0.329043 + 0.944315i \(0.393274\pi\)
\(354\) 2.09811 + 19.9622i 0.111513 + 1.06098i
\(355\) −3.98290 3.11050i −0.211391 0.165088i
\(356\) −21.9099 + 44.9219i −1.16122 + 2.38086i
\(357\) −5.01671 + 28.4512i −0.265512 + 1.50580i
\(358\) −11.0412 16.3692i −0.583544 0.865139i
\(359\) 8.73180 + 21.6120i 0.460847 + 1.14064i 0.961455 + 0.274962i \(0.0886653\pi\)
−0.500608 + 0.865674i \(0.666890\pi\)
\(360\) −29.6319 47.3998i −1.56174 2.49819i
\(361\) −18.6984 3.37205i −0.984125 0.177476i
\(362\) 1.02046 3.14066i 0.0536342 0.165069i
\(363\) −7.33275 18.1492i −0.384870 0.952586i
\(364\) 2.29090 65.6027i 0.120076 3.43852i
\(365\) 0.730644 + 10.4186i 0.0382437 + 0.545336i
\(366\) 29.2685 + 4.11342i 1.52989 + 0.215012i
\(367\) −3.96255 1.13624i −0.206843 0.0593114i 0.170616 0.985338i \(-0.445424\pi\)
−0.377459 + 0.926026i \(0.623202\pi\)
\(368\) −22.5652 + 39.0840i −1.17629 + 2.03740i
\(369\) −1.95472 + 18.5979i −0.101759 + 0.968169i
\(370\) −7.98932 + 8.27651i −0.415345 + 0.430275i
\(371\) 14.7123 + 1.02878i 0.763823 + 0.0534117i
\(372\) 97.4752 + 43.3988i 5.05385 + 2.25012i
\(373\) 15.1660 + 3.22363i 0.785264 + 0.166913i 0.583059 0.812430i \(-0.301856\pi\)
0.202205 + 0.979343i \(0.435189\pi\)
\(374\) −54.5164 + 19.8424i −2.81898 + 1.02602i
\(375\) 22.2145 15.0034i 1.14715 0.774771i
\(376\) 0.837682 4.75073i 0.0432002 0.245000i
\(377\) 0.928689 26.5942i 0.0478299 1.36967i
\(378\) 0.974616 3.90897i 0.0501288 0.201056i
\(379\) −23.1842 + 16.8443i −1.19089 + 0.865233i −0.993358 0.115063i \(-0.963293\pi\)
−0.197533 + 0.980296i \(0.563293\pi\)
\(380\) 46.5364 23.6094i 2.38727 1.21113i
\(381\) 21.6908 + 15.7593i 1.11125 + 0.807374i
\(382\) 10.0501 8.43302i 0.514207 0.431471i
\(383\) −20.0406 29.7114i −1.02402 1.51818i −0.845309 0.534278i \(-0.820583\pi\)
−0.178716 0.983901i \(-0.557194\pi\)
\(384\) 62.5404 + 33.2533i 3.19150 + 1.69695i
\(385\) 9.82112 + 22.0467i 0.500531 + 1.12360i
\(386\) −34.3446 43.9591i −1.74810 2.23746i
\(387\) 7.65130 + 8.49763i 0.388937 + 0.431959i
\(388\) 3.47582 0.738807i 0.176458 0.0375073i
\(389\) 5.90293 14.6103i 0.299290 0.740770i −0.700346 0.713804i \(-0.746971\pi\)
0.999636 0.0269662i \(-0.00858464\pi\)
\(390\) −10.0475 + 71.5963i −0.508777 + 3.62542i
\(391\) −15.4581 + 3.28573i −0.781751 + 0.166166i
\(392\) 7.65060 3.40627i 0.386414 0.172042i
\(393\) −37.8329 + 13.7700i −1.90842 + 0.694607i
\(394\) 0.911753 1.86937i 0.0459335 0.0941776i
\(395\) −19.7357 + 7.97837i −0.993013 + 0.401435i
\(396\) −61.9267 + 17.7572i −3.11193 + 0.892332i
\(397\) −2.15941 + 8.66092i −0.108378 + 0.434679i −0.999830 0.0184352i \(-0.994132\pi\)
0.891452 + 0.453114i \(0.149687\pi\)
\(398\) 3.85273 + 11.8575i 0.193120 + 0.594362i
\(399\) −24.3480 8.43667i −1.21892 0.422362i
\(400\) −30.5641 + 62.7295i −1.52820 + 3.13648i
\(401\) 2.32853 1.95387i 0.116281 0.0975716i −0.582793 0.812621i \(-0.698040\pi\)
0.699074 + 0.715049i \(0.253596\pi\)
\(402\) 1.68815 48.3424i 0.0841975 2.41110i
\(403\) −18.1199 37.1512i −0.902615 1.85063i
\(404\) −1.03308 0.997636i −0.0513978 0.0496342i
\(405\) −7.40720 + 20.3639i −0.368067 + 1.01189i
\(406\) −32.6861 + 14.5528i −1.62218 + 0.722242i
\(407\) 4.15242 + 7.19220i 0.205828 + 0.356504i
\(408\) 25.7810 + 103.402i 1.27635 + 5.11915i
\(409\) 31.5504 19.7149i 1.56007 0.974839i 0.572101 0.820183i \(-0.306129\pi\)
0.987968 0.154656i \(-0.0494269\pi\)
\(410\) 37.0751 18.0920i 1.83101 0.893498i
\(411\) −43.4193 9.22907i −2.14172 0.455236i
\(412\) −2.97574 85.2139i −0.146604 4.19819i
\(413\) −7.53752 1.05933i −0.370897 0.0521262i
\(414\) −23.8698 + 3.35468i −1.17314 + 0.164874i
\(415\) 4.95877 2.86428i 0.243417 0.140602i
\(416\) −36.6152 90.6257i −1.79521 4.44329i
\(417\) 30.0351 + 21.8217i 1.47082 + 1.06862i
\(418\) −9.77484 50.8145i −0.478103 2.48542i
\(419\) 0.304250 + 0.221050i 0.0148636 + 0.0107990i 0.595192 0.803583i \(-0.297076\pi\)
−0.580329 + 0.814382i \(0.697076\pi\)
\(420\) 67.3032 21.8831i 3.28406 1.06779i
\(421\) −11.6257 + 3.33362i −0.566603 + 0.162471i −0.546696 0.837331i \(-0.684115\pi\)
−0.0199068 + 0.999802i \(0.506337\pi\)
\(422\) 14.4158 + 29.5568i 0.701750 + 1.43880i
\(423\) 1.28728 0.684459i 0.0625897 0.0332795i
\(424\) 51.1211 18.6066i 2.48266 0.903614i
\(425\) −23.4856 + 6.74461i −1.13922 + 0.327162i
\(426\) 7.34727 + 12.7258i 0.355976 + 0.616569i
\(427\) −4.19860 + 10.3919i −0.203184 + 0.502899i
\(428\) −69.8560 4.88480i −3.37662 0.236116i
\(429\) 47.6823 + 21.2295i 2.30212 + 1.02497i
\(430\) 6.94821 24.2497i 0.335072 1.16942i
\(431\) −9.02001 2.58645i −0.434478 0.124585i 0.0512671 0.998685i \(-0.483674\pi\)
−0.485745 + 0.874100i \(0.661452\pi\)
\(432\) −1.46018 8.28107i −0.0702528 0.398423i
\(433\) 1.40916 1.36081i 0.0677197 0.0653961i −0.660029 0.751241i \(-0.729456\pi\)
0.727748 + 0.685844i \(0.240567\pi\)
\(434\) −34.2166 + 43.7952i −1.64245 + 2.10224i
\(435\) 27.2835 8.87101i 1.30814 0.425332i
\(436\) 18.6534 + 57.4091i 0.893334 + 2.74940i
\(437\) −0.710345 14.0779i −0.0339804 0.673435i
\(438\) 9.38458 28.8828i 0.448413 1.38007i
\(439\) −19.0009 11.8731i −0.906863 0.566671i −0.00561974 0.999984i \(-0.501789\pi\)
−0.901243 + 0.433313i \(0.857344\pi\)
\(440\) 66.1728 + 59.5582i 3.15466 + 2.83932i
\(441\) 2.23475 + 1.18824i 0.106417 + 0.0565828i
\(442\) 28.8894 59.2320i 1.37413 2.81738i
\(443\) 23.4816 8.54661i 1.11564 0.406062i 0.282584 0.959243i \(-0.408808\pi\)
0.833061 + 0.553181i \(0.186586\pi\)
\(444\) 22.2468 9.90490i 1.05578 0.470066i
\(445\) 14.5037 + 15.0130i 0.687543 + 0.711685i
\(446\) −31.0525 2.17140i −1.47038 0.102819i
\(447\) 20.4283 + 1.42849i 0.966226 + 0.0675651i
\(448\) −41.8892 + 46.5227i −1.97908 + 2.19799i
\(449\) 3.96093 6.86054i 0.186928 0.323769i −0.757297 0.653071i \(-0.773480\pi\)
0.944224 + 0.329302i \(0.106814\pi\)
\(450\) −36.4520 + 7.76342i −1.71836 + 0.365971i
\(451\) −5.17174 29.3304i −0.243528 1.38112i
\(452\) 60.4514 8.49589i 2.84339 0.399613i
\(453\) −9.01021 + 2.58364i −0.423337 + 0.121390i
\(454\) −1.98030 + 7.94255i −0.0929401 + 0.372763i
\(455\) −25.4219 10.2652i −1.19180 0.481239i
\(456\) −94.7060 + 8.10018i −4.43501 + 0.379326i
\(457\) 20.7714 0.971643 0.485821 0.874058i \(-0.338521\pi\)
0.485821 + 0.874058i \(0.338521\pi\)
\(458\) 48.9604 3.42365i 2.28777 0.159976i
\(459\) 1.81285 2.32034i 0.0846165 0.108304i
\(460\) 24.8905 + 29.6512i 1.16052 + 1.38249i
\(461\) 28.5097 15.1589i 1.32783 0.706020i 0.354419 0.935087i \(-0.384679\pi\)
0.973411 + 0.229067i \(0.0735675\pi\)
\(462\) −2.44922 70.1365i −0.113948 3.26305i
\(463\) 17.3010 + 19.2147i 0.804044 + 0.892982i 0.996085 0.0884053i \(-0.0281771\pi\)
−0.192040 + 0.981387i \(0.561510\pi\)
\(464\) −49.9712 + 55.4987i −2.31986 + 2.57646i
\(465\) 30.9503 32.0629i 1.43529 1.48688i
\(466\) 4.26154 2.66291i 0.197412 0.123357i
\(467\) 0.386600 3.67825i 0.0178897 0.170209i −0.981929 0.189250i \(-0.939394\pi\)
0.999819 + 0.0190404i \(0.00606112\pi\)
\(468\) 36.5899 63.3755i 1.69137 2.92953i
\(469\) 17.6326 + 5.05606i 0.814197 + 0.233467i
\(470\) −2.78570 1.60758i −0.128495 0.0741520i
\(471\) −3.72272 7.63270i −0.171534 0.351696i
\(472\) −26.9894 + 7.73907i −1.24229 + 0.356220i
\(473\) −15.4441 9.65052i −0.710119 0.443731i
\(474\) 61.8984 2.84309
\(475\) −2.62271 21.6361i −0.120338 0.992733i
\(476\) −64.5103 −2.95682
\(477\) 13.9432 + 8.71270i 0.638417 + 0.398927i
\(478\) 29.4474 8.44390i 1.34689 0.386215i
\(479\) 0.531945 + 1.09065i 0.0243052 + 0.0498330i 0.910601 0.413286i \(-0.135619\pi\)
−0.886296 + 0.463119i \(0.846730\pi\)
\(480\) 78.2982 70.5285i 3.57381 3.21917i
\(481\) −9.06833 2.60030i −0.413480 0.118564i
\(482\) 25.0920 43.4606i 1.14291 1.97958i
\(483\) 1.99827 19.0123i 0.0909245 0.865088i
\(484\) 37.0674 23.1623i 1.68488 1.05283i
\(485\) 0.206256 1.46973i 0.00936560 0.0667370i
\(486\) 38.8810 43.1817i 1.76368 1.95876i
\(487\) −26.6692 29.6192i −1.20850 1.34217i −0.923478 0.383650i \(-0.874667\pi\)
−0.285019 0.958522i \(-0.592000\pi\)
\(488\) 1.44286 + 41.3180i 0.0653151 + 1.87038i
\(489\) −46.3140 + 24.6256i −2.09439 + 1.11361i
\(490\) −0.390606 5.56985i −0.0176458 0.251620i
\(491\) 22.7869 29.1659i 1.02836 1.31624i 0.0807733 0.996732i \(-0.474261\pi\)
0.947584 0.319505i \(-0.103517\pi\)
\(492\) −87.1191 + 6.09196i −3.92763 + 0.274647i
\(493\) −26.1513 −1.17780
\(494\) 48.0844 + 33.8086i 2.16342 + 1.52112i
\(495\) −1.87151 + 26.8413i −0.0841180 + 1.20643i
\(496\) −28.0638 + 112.558i −1.26010 + 5.05399i
\(497\) −5.35648 + 1.53594i −0.240271 + 0.0688965i
\(498\) −16.4893 + 2.31743i −0.738905 + 0.103846i
\(499\) 2.01103 + 11.4051i 0.0900259 + 0.510562i 0.996159 + 0.0875684i \(0.0279096\pi\)
−0.906133 + 0.422994i \(0.860979\pi\)
\(500\) 41.6066 + 43.0329i 1.86070 + 1.92449i
\(501\) 9.85265 17.0653i 0.440184 0.762421i
\(502\) −11.0583 + 12.2814i −0.493554 + 0.548147i
\(503\) −19.7337 1.37992i −0.879882 0.0615274i −0.377335 0.926077i \(-0.623159\pi\)
−0.502548 + 0.864550i \(0.667604\pi\)
\(504\) −61.4879 4.29965i −2.73889 0.191522i
\(505\) −0.539062 + 0.263052i −0.0239879 + 0.0117057i
\(506\) 35.0706 15.6144i 1.55908 0.694146i
\(507\) −26.4248 + 9.61784i −1.17357 + 0.427143i
\(508\) −26.2446 + 53.8095i −1.16442 + 2.38741i
\(509\) 17.1583 + 9.12320i 0.760526 + 0.404379i 0.803965 0.594677i \(-0.202720\pi\)
−0.0434384 + 0.999056i \(0.513831\pi\)
\(510\) 70.6628 + 7.41261i 3.12900 + 0.328236i
\(511\) 9.76640 + 6.10272i 0.432040 + 0.269969i
\(512\) −6.32147 + 19.4555i −0.279372 + 0.859818i
\(513\) 1.78744 + 1.92428i 0.0789174 + 0.0849591i
\(514\) 13.2640 + 40.8225i 0.585051 + 1.80060i
\(515\) −33.8711 10.9979i −1.49254 0.484625i
\(516\) −32.8767 + 42.0803i −1.44732 + 1.85248i
\(517\) −1.67028 + 1.61297i −0.0734587 + 0.0709383i
\(518\) 2.20261 + 12.4916i 0.0967770 + 0.548850i
\(519\) −19.2496 5.51973i −0.844963 0.242289i
\(520\) −101.068 + 3.54970i −4.43213 + 0.155665i
\(521\) −10.8931 4.84991i −0.477234 0.212478i 0.154000 0.988071i \(-0.450784\pi\)
−0.631234 + 0.775593i \(0.717451\pi\)
\(522\) −39.7903 2.78241i −1.74157 0.121783i
\(523\) −4.73441 + 11.7181i −0.207021 + 0.512396i −0.994596 0.103824i \(-0.966892\pi\)
0.787574 + 0.616220i \(0.211337\pi\)
\(524\) −44.9504 77.8564i −1.96367 3.40117i
\(525\) 1.01970 29.5406i 0.0445034 1.28926i
\(526\) 48.9439 17.8141i 2.13406 0.776733i
\(527\) −35.8666 + 19.0706i −1.56237 + 0.830728i
\(528\) −64.2137 131.658i −2.79454 5.72966i
\(529\) −12.0567 + 3.45721i −0.524205 + 0.150313i
\(530\) −0.00728458 36.2709i −0.000316422 1.57551i
\(531\) −6.86495 4.98768i −0.297913 0.216447i
\(532\) 9.11161 56.8133i 0.395039 2.46317i
\(533\) 27.3703 + 19.8857i 1.18554 + 0.861344i
\(534\) −22.7379 56.2783i −0.983965 2.43540i
\(535\) −11.8905 + 26.7209i −0.514071 + 1.15525i
\(536\) 67.0042 9.41683i 2.89414 0.406745i
\(537\) 17.2876 + 2.42961i 0.746013 + 0.104845i
\(538\) −0.0404888 1.15945i −0.00174560 0.0499873i
\(539\) −3.94289 0.838088i −0.169832 0.0360990i
\(540\) −7.10387 1.25113i −0.305702 0.0538402i
\(541\) 19.6019 12.2486i 0.842751 0.526609i −0.0384995 0.999259i \(-0.512258\pi\)
0.881251 + 0.472649i \(0.156702\pi\)
\(542\) −2.98876 11.9873i −0.128378 0.514897i
\(543\) 1.45986 + 2.52856i 0.0626487 + 0.108511i
\(544\) −87.7522 + 39.0698i −3.76234 + 1.67510i
\(545\) 25.1961 + 0.874800i 1.07928 + 0.0374723i
\(546\) 57.3453 + 55.3777i 2.45415 + 2.36995i
\(547\) −9.66004 19.8060i −0.413034 0.846845i −0.999325 0.0367440i \(-0.988301\pi\)
0.586291 0.810100i \(-0.300588\pi\)
\(548\) 3.45922 99.0591i 0.147771 4.23159i
\(549\) −9.57166 + 8.03157i −0.408508 + 0.342779i
\(550\) 52.3978 27.8874i 2.23425 1.18912i
\(551\) 3.69368 23.0311i 0.157356 0.981158i
\(552\) −21.7910 67.0658i −0.927487 2.85451i
\(553\) −5.67853 + 22.7753i −0.241476 + 0.968506i
\(554\) 4.49638 1.28932i 0.191033 0.0547778i
\(555\) −0.711520 10.1459i −0.0302023 0.430670i
\(556\) −36.3407 + 74.5094i −1.54119 + 3.15990i
\(557\) −18.9374 + 6.89267i −0.802405 + 0.292052i −0.710483 0.703715i \(-0.751523\pi\)
−0.0919224 + 0.995766i \(0.529301\pi\)
\(558\) −56.6016 + 25.2006i −2.39614 + 1.06683i
\(559\) 20.2349 4.30105i 0.855843 0.181915i
\(560\) 36.1358 + 67.9287i 1.52702 + 2.87051i
\(561\) 19.2152 47.5593i 0.811266 2.00795i
\(562\) −13.8403 + 2.94185i −0.583819 + 0.124095i
\(563\) −24.2759 26.9612i −1.02311 1.13628i −0.990598 0.136806i \(-0.956316\pi\)
−0.0325114 0.999471i \(-0.510351\pi\)
\(564\) 4.19182 + 5.36528i 0.176507 + 0.225919i
\(565\) 5.29593 24.9400i 0.222801 1.04923i
\(566\) −53.5381 28.4667i −2.25037 1.19654i
\(567\) 13.3611 + 19.8086i 0.561113 + 0.831885i
\(568\) −15.7459 + 13.2124i −0.660682 + 0.554378i
\(569\) 1.73191 + 1.25831i 0.0726055 + 0.0527509i 0.623496 0.781827i \(-0.285712\pi\)
−0.550890 + 0.834578i \(0.685712\pi\)
\(570\) −16.5088 + 61.1848i −0.691478 + 2.56275i
\(571\) 7.68618 5.58434i 0.321657 0.233697i −0.415225 0.909719i \(-0.636297\pi\)
0.736882 + 0.676021i \(0.236297\pi\)
\(572\) −28.1957 + 113.087i −1.17892 + 4.72839i
\(573\) −0.404821 + 11.5926i −0.0169116 + 0.484286i
\(574\) 7.89902 44.7976i 0.329699 1.86981i
\(575\) 15.1916 5.53621i 0.633534 0.230876i
\(576\) −65.5815 + 23.8697i −2.73256 + 0.994571i
\(577\) −10.6777 2.26962i −0.444518 0.0944853i −0.0197860 0.999804i \(-0.506298\pi\)
−0.424732 + 0.905319i \(0.639632\pi\)
\(578\) −17.0506 7.59141i −0.709211 0.315761i
\(579\) 49.2023 + 3.44056i 2.04478 + 0.142985i
\(580\) 30.0868 + 56.5576i 1.24929 + 2.34843i
\(581\) 0.660034 6.27981i 0.0273828 0.260530i
\(582\) −2.15774 + 3.73732i −0.0894412 + 0.154917i
\(583\) −25.1711 7.21768i −1.04248 0.298926i
\(584\) 42.0670 + 5.91214i 1.74075 + 0.244646i
\(585\) −19.6509 23.4095i −0.812464 0.967863i
\(586\) −1.07908 + 30.9008i −0.0445764 + 1.27650i
\(587\) −7.17537 17.7597i −0.296159 0.733020i −0.999749 0.0224132i \(-0.992865\pi\)
0.703590 0.710607i \(-0.251579\pi\)
\(588\) −3.65257 + 11.2415i −0.150630 + 0.463590i
\(589\) −11.7293 34.2808i −0.483298 1.41252i
\(590\) −1.30206 + 18.6742i −0.0536048 + 0.768803i
\(591\) 0.688872 + 1.70502i 0.0283364 + 0.0701351i
\(592\) 14.8049 + 21.9492i 0.608478 + 0.902105i
\(593\) −2.40545 + 13.6420i −0.0987802 + 0.560210i 0.894743 + 0.446581i \(0.147359\pi\)
−0.993523 + 0.113629i \(0.963752\pi\)
\(594\) −3.13560 + 6.42894i −0.128655 + 0.263783i
\(595\) −9.21003 + 25.3202i −0.377574 + 1.03803i
\(596\) 4.77976 + 45.4764i 0.195787 + 1.86279i
\(597\) −10.0703 4.48361i −0.412152 0.183502i
\(598\) −16.3359 + 40.4327i −0.668024 + 1.65342i
\(599\) −2.91108 2.44269i −0.118944 0.0998055i 0.581376 0.813635i \(-0.302515\pi\)
−0.700319 + 0.713830i \(0.746959\pi\)
\(600\) −40.8846 101.076i −1.66911 4.12642i
\(601\) −18.9184 + 32.7676i −0.771698 + 1.33662i 0.164934 + 0.986305i \(0.447259\pi\)
−0.936632 + 0.350315i \(0.886074\pi\)
\(602\) −17.1245 21.9184i −0.697944 0.893328i
\(603\) 14.7100 + 14.2053i 0.599037 + 0.578484i
\(604\) −9.17520 18.8119i −0.373334 0.765447i
\(605\) −3.79910 17.8557i −0.154455 0.725939i
\(606\) 1.73988 0.121664i 0.0706777 0.00494226i
\(607\) −37.2931 −1.51368 −0.756840 0.653600i \(-0.773258\pi\)
−0.756840 + 0.653600i \(0.773258\pi\)
\(608\) −22.0139 82.8005i −0.892780 3.35800i
\(609\) 9.77558 30.0862i 0.396127 1.21915i
\(610\) 26.2170 + 8.51259i 1.06149 + 0.344665i
\(611\) 0.0920510 2.63600i 0.00372398 0.106641i
\(612\) −63.4991 33.7631i −2.56680 1.36479i
\(613\) −39.8696 5.60331i −1.61032 0.226316i −0.724138 0.689655i \(-0.757762\pi\)
−0.886181 + 0.463340i \(0.846651\pi\)
\(614\) 54.5405 + 69.8086i 2.20107 + 2.81725i
\(615\) −10.0468 + 35.0638i −0.405125 + 1.41391i
\(616\) 96.0218 20.4101i 3.86883 0.822345i
\(617\) −4.56724 18.3182i −0.183870 0.737464i −0.989438 0.144959i \(-0.953695\pi\)
0.805567 0.592504i \(-0.201861\pi\)
\(618\) 79.3242 + 66.5609i 3.19089 + 2.67747i
\(619\) 0.302337 2.87654i 0.0121519 0.115618i −0.986764 0.162161i \(-0.948154\pi\)
0.998916 + 0.0465427i \(0.0148204\pi\)
\(620\) 82.5082 + 55.6284i 3.31361 + 2.23409i
\(621\) −1.08956 + 1.61534i −0.0437226 + 0.0648214i
\(622\) 30.4038 + 29.3606i 1.21908 + 1.17725i
\(623\) 22.7934 3.20340i 0.913198 0.128342i
\(624\) 156.360 + 56.9104i 6.25941 + 2.27824i
\(625\) 22.8305 10.1868i 0.913218 0.407470i
\(626\) −50.8111 −2.03082
\(627\) 39.1708 + 23.6400i 1.56433 + 0.944090i
\(628\) 15.3411 11.1459i 0.612175 0.444771i
\(629\) −2.24286 + 8.99564i −0.0894288 + 0.358680i
\(630\) −16.7074 + 37.5458i −0.665640 + 1.49586i
\(631\) −13.5822 + 13.1161i −0.540698 + 0.522146i −0.914081 0.405531i \(-0.867086\pi\)
0.373383 + 0.927677i \(0.378198\pi\)
\(632\) 15.0351 + 85.2683i 0.598064 + 3.39179i
\(633\) −27.9490 8.01424i −1.11087 0.318538i
\(634\) −49.7325 55.2335i −1.97513 2.19360i
\(635\) 17.3732 + 17.9833i 0.689435 + 0.713644i
\(636\) −28.7635 + 71.1920i −1.14055 + 2.82295i
\(637\) 3.88317 2.42647i 0.153857 0.0961403i
\(638\) 62.1381 13.2079i 2.46007 0.522904i
\(639\) −6.07640 1.29158i −0.240378 0.0510940i
\(640\) 52.0627 + 40.6590i 2.05796 + 1.60719i
\(641\) 21.4469 + 3.01416i 0.847100 + 0.119052i 0.549351 0.835592i \(-0.314875\pi\)
0.297749 + 0.954644i \(0.403764\pi\)
\(642\) 61.1749 59.0760i 2.41438 2.33154i
\(643\) −11.2664 4.10063i −0.444303 0.161713i 0.110174 0.993912i \(-0.464859\pi\)
−0.554476 + 0.832199i \(0.687081\pi\)
\(644\) 42.5834 2.97772i 1.67802 0.117339i
\(645\) 11.8227 + 18.9118i 0.465518 + 0.744651i
\(646\) 31.5559 48.3856i 1.24155 1.90371i
\(647\) −22.0339 + 16.0085i −0.866240 + 0.629360i −0.929575 0.368632i \(-0.879826\pi\)
0.0633353 + 0.997992i \(0.479826\pi\)
\(648\) 74.7440 + 46.7052i 2.93622 + 1.83475i
\(649\) 12.6994 + 4.62219i 0.498494 + 0.181437i
\(650\) −20.8099 + 64.1340i −0.816233 + 2.51554i
\(651\) −8.53282 48.3920i −0.334427 1.89663i
\(652\) −72.1106 92.2974i −2.82407 3.61464i
\(653\) 3.07784 + 29.2837i 0.120445 + 1.14596i 0.873099 + 0.487543i \(0.162107\pi\)
−0.752654 + 0.658417i \(0.771226\pi\)
\(654\) −66.9702 29.8171i −2.61874 1.16594i
\(655\) −36.9760 + 6.52752i −1.44477 + 0.255051i
\(656\) −22.9697 92.1264i −0.896815 3.59693i
\(657\) 6.41931 + 11.1186i 0.250441 + 0.433776i
\(658\) −3.23982 + 1.44246i −0.126301 + 0.0562330i
\(659\) 0.724742 + 20.7539i 0.0282319 + 0.808457i 0.928108 + 0.372311i \(0.121435\pi\)
−0.899876 + 0.436146i \(0.856343\pi\)
\(660\) −124.964 + 13.1596i −4.86420 + 0.512236i
\(661\) 17.1729 2.41349i 0.667948 0.0938740i 0.202955 0.979188i \(-0.434946\pi\)
0.464994 + 0.885314i \(0.346057\pi\)
\(662\) −43.0031 + 55.0414i −1.67136 + 2.13925i
\(663\) 21.8273 + 54.0244i 0.847701 + 2.09813i
\(664\) −7.19763 22.1520i −0.279322 0.859666i
\(665\) −20.9983 11.6874i −0.814278 0.453219i
\(666\) −4.36972 + 13.4486i −0.169323 + 0.521123i
\(667\) 17.2626 1.20712i 0.668409 0.0467397i
\(668\) 41.3475 + 15.0492i 1.59978 + 0.582273i
\(669\) 19.7978 19.1185i 0.765429 0.739166i
\(670\) 9.37047 44.1282i 0.362013 1.70482i
\(671\) 11.1279 16.4977i 0.429586 0.636887i
\(672\) −12.1459 115.560i −0.468538 4.45784i
\(673\) 18.6135 20.6724i 0.717498 0.796862i −0.268561 0.963263i \(-0.586548\pi\)
0.986058 + 0.166401i \(0.0532146\pi\)
\(674\) −53.9290 45.2518i −2.07727 1.74304i
\(675\) −1.50528 + 2.60963i −0.0579381 + 0.100445i
\(676\) −31.3961 54.3797i −1.20754 2.09153i
\(677\) −22.3681 4.75448i −0.859675 0.182730i −0.243076 0.970007i \(-0.578157\pi\)
−0.616599 + 0.787278i \(0.711490\pi\)
\(678\) −41.4564 + 61.4617i −1.59212 + 2.36042i
\(679\) −1.17718 1.13679i −0.0451762 0.0436262i
\(680\) 6.95271 + 99.1423i 0.266624 + 3.80193i
\(681\) −4.04712 6.00010i −0.155086 0.229924i
\(682\) 75.5908 63.4282i 2.89452 2.42879i
\(683\) 25.0133 + 18.1732i 0.957108 + 0.695380i 0.952477 0.304609i \(-0.0985259\pi\)
0.00463097 + 0.999989i \(0.498526\pi\)
\(684\) 38.7035 51.1540i 1.47987 1.95592i
\(685\) −38.3866 15.5002i −1.46668 0.592234i
\(686\) −44.9128 28.0646i −1.71478 1.07151i
\(687\) −26.7162 + 34.1951i −1.01929 + 1.30463i
\(688\) −51.2612 27.2561i −1.95431 1.03913i
\(689\) 26.2633 13.9644i 1.00055 0.532003i
\(690\) −46.9869 1.63137i −1.78876 0.0621052i
\(691\) 26.0882 + 28.9739i 0.992442 + 1.10222i 0.994762 + 0.102221i \(0.0325950\pi\)
−0.00231950 + 0.999997i \(0.500738\pi\)
\(692\) 4.67406 44.4707i 0.177681 1.69052i
\(693\) 22.7273 + 19.0705i 0.863339 + 0.724428i
\(694\) 1.62453 + 6.51561i 0.0616661 + 0.247329i
\(695\) 24.0565 + 24.9012i 0.912515 + 0.944558i
\(696\) −12.1975 116.051i −0.462344 4.39891i
\(697\) 18.5920 27.5637i 0.704221 1.04405i
\(698\) −79.9678 + 42.5196i −3.02683 + 1.60939i
\(699\) −0.771515 + 4.37548i −0.0291814 + 0.165496i
\(700\) 65.3561 9.21197i 2.47023 0.348180i
\(701\) 3.90756 3.27883i 0.147586 0.123840i −0.566005 0.824402i \(-0.691512\pi\)
0.713592 + 0.700562i \(0.247067\pi\)
\(702\) −2.51082 7.72752i −0.0947649 0.291657i
\(703\) −7.60555 3.24583i −0.286849 0.122419i
\(704\) 89.9228 65.3327i 3.38909 2.46232i
\(705\) 2.70432 0.879288i 0.101851 0.0331159i
\(706\) −39.0145 57.8413i −1.46833 2.17689i
\(707\) −0.114850 + 0.651344i −0.00431936 + 0.0244963i
\(708\) 17.3718 35.6174i 0.652871 1.33858i
\(709\) 0.921099 + 26.3768i 0.0345926 + 0.990603i 0.885316 + 0.464989i \(0.153942\pi\)
−0.850724 + 0.525613i \(0.823836\pi\)
\(710\) 4.68973 + 12.8769i 0.176002 + 0.483260i
\(711\) −17.5096 + 19.4464i −0.656661 + 0.729296i
\(712\) 72.0032 44.9926i 2.69843 1.68617i
\(713\) 22.7954 14.2441i 0.853693 0.533447i
\(714\) 52.4223 58.2209i 1.96186 2.17886i
\(715\) 40.3609 + 27.2120i 1.50941 + 1.01767i
\(716\) 1.36044 + 38.9580i 0.0508421 + 1.45593i
\(717\) −11.8734 + 24.3441i −0.443420 + 0.909146i
\(718\) 10.9763 62.2496i 0.409631 2.32314i
\(719\) −15.7862 23.4040i −0.588726 0.872822i 0.410512 0.911855i \(-0.365350\pi\)
−0.999238 + 0.0390331i \(0.987572\pi\)
\(720\) 0.0172272 + 85.7766i 0.000642021 + 3.19671i
\(721\) −31.7681 + 23.0809i −1.18311 + 0.859576i
\(722\) 38.1555 + 34.6250i 1.42000 + 1.28861i
\(723\) 13.7112 + 42.1988i 0.509925 + 1.56939i
\(724\) −4.99431 + 4.19073i −0.185612 + 0.155747i
\(725\) 26.4942 3.73437i 0.983970 0.138691i
\(726\) −9.21762 + 52.2757i −0.342098 + 1.94013i
\(727\) −37.7624 + 20.0786i −1.40053 + 0.744675i −0.986217 0.165459i \(-0.947089\pi\)
−0.414314 + 0.910134i \(0.635978\pi\)
\(728\) −62.3565 + 92.4473i −2.31109 + 3.42633i
\(729\) 2.33130 + 22.1808i 0.0863444 + 0.821512i
\(730\) 13.2916 25.0100i 0.491945 0.925662i
\(731\) −4.91828 19.7261i −0.181909 0.729597i
\(732\) −44.7002 37.5079i −1.65217 1.38633i
\(733\) −3.99039 + 37.9660i −0.147388 + 1.40231i 0.631613 + 0.775284i \(0.282393\pi\)
−0.779001 + 0.627023i \(0.784273\pi\)
\(734\) 7.47999 + 8.30737i 0.276091 + 0.306630i
\(735\) 3.89078 + 3.03855i 0.143514 + 0.112079i
\(736\) 56.1221 29.8406i 2.06869 1.09994i
\(737\) −28.7561 15.2899i −1.05924 0.563210i
\(738\) 31.2212 39.9613i 1.14927 1.47099i
\(739\) −5.34076 3.33728i −0.196463 0.122764i 0.428121 0.903722i \(-0.359176\pi\)
−0.624584 + 0.780958i \(0.714731\pi\)
\(740\) 22.0353 5.49872i 0.810034 0.202137i
\(741\) −50.6615 + 11.5924i −1.86110 + 0.425858i
\(742\) −32.3559 23.5079i −1.18782 0.863004i
\(743\) 38.3629 32.1903i 1.40740 1.18095i 0.449699 0.893180i \(-0.351531\pi\)
0.957700 0.287768i \(-0.0929133\pi\)
\(744\) −101.358 150.270i −3.71597 5.50916i
\(745\) 18.5318 + 4.61654i 0.678953 + 0.169137i
\(746\) −30.2452 29.2075i −1.10736 1.06936i
\(747\) 3.93639 5.83593i 0.144025 0.213526i
\(748\) 112.035 + 23.8138i 4.09641 + 0.870718i
\(749\) 16.1247 + 27.9288i 0.589183 + 1.02049i
\(750\) −72.6479 + 2.58075i −2.65272 + 0.0942355i
\(751\) 23.4955 + 19.7150i 0.857362 + 0.719412i 0.961398 0.275161i \(-0.0887313\pi\)
−0.104036 + 0.994574i \(0.533176\pi\)
\(752\) −4.95312 + 5.50099i −0.180622 + 0.200601i
\(753\) −1.52735 14.5317i −0.0556597 0.529566i
\(754\) −40.3524 + 59.8249i −1.46955 + 2.17870i
\(755\) −8.69358 + 0.915498i −0.316392 + 0.0333184i
\(756\) −5.72138 + 5.52507i −0.208084 + 0.200945i
\(757\) 31.5032 + 11.4662i 1.14500 + 0.416747i 0.843718 0.536787i \(-0.180362\pi\)
0.301285 + 0.953534i \(0.402585\pi\)
\(758\) 77.5232 5.42095i 2.81577 0.196898i
\(759\) −10.4887 + 32.2810i −0.380717 + 1.17173i
\(760\) −88.2953 7.87998i −3.20281 0.285837i
\(761\) 2.70338 + 8.32014i 0.0979974 + 0.301605i 0.988023 0.154305i \(-0.0493139\pi\)
−0.890026 + 0.455910i \(0.849314\pi\)
\(762\) −27.2365 67.4126i −0.986673 2.44210i
\(763\) 17.1149 21.9061i 0.619602 0.793054i
\(764\) −25.6494 + 3.60478i −0.927961 + 0.130416i
\(765\) −22.3176 + 20.1030i −0.806895 + 0.726825i
\(766\) 3.39175 + 97.1271i 0.122549 + 3.50934i
\(767\) −14.0243 + 6.24402i −0.506388 + 0.225459i
\(768\) −35.1632 60.9044i −1.26884 2.19770i
\(769\) 4.39954 + 17.6456i 0.158651 + 0.636316i 0.995977 + 0.0896114i \(0.0285625\pi\)
−0.837325 + 0.546705i \(0.815882\pi\)
\(770\) 9.09585 64.8148i 0.327792 2.33576i
\(771\) −34.6698 15.4360i