Properties

Label 825.2.r.a.91.1
Level $825$
Weight $2$
Character 825.91
Analytic conductor $6.588$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 825 = 3 \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 825.r (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.58765816676\)
Analytic rank: \(0\)
Dimension: \(4\)
Coefficient field: \(\Q(\zeta_{10})\)
Defining polynomial: \(x^{4} - x^{3} + x^{2} - x + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 91.1
Root \(0.809017 + 0.587785i\) of defining polynomial
Character \(\chi\) \(=\) 825.91
Dual form 825.2.r.a.136.1

$q$-expansion

\(f(q)\) \(=\) \(q-2.23607 q^{2} +(-0.809017 + 0.587785i) q^{3} +3.00000 q^{4} +(0.690983 - 2.12663i) q^{5} +(1.80902 - 1.31433i) q^{6} +(0.809017 - 2.48990i) q^{7} -2.23607 q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\) \(q-2.23607 q^{2} +(-0.809017 + 0.587785i) q^{3} +3.00000 q^{4} +(0.690983 - 2.12663i) q^{5} +(1.80902 - 1.31433i) q^{6} +(0.809017 - 2.48990i) q^{7} -2.23607 q^{8} +(0.309017 - 0.951057i) q^{9} +(-1.54508 + 4.75528i) q^{10} +(-2.80902 + 1.76336i) q^{11} +(-2.42705 + 1.76336i) q^{12} +(-1.85410 + 5.70634i) q^{13} +(-1.80902 + 5.56758i) q^{14} +(0.690983 + 2.12663i) q^{15} -1.00000 q^{16} +(-5.04508 + 3.66547i) q^{17} +(-0.690983 + 2.12663i) q^{18} +6.61803 q^{19} +(2.07295 - 6.37988i) q^{20} +(0.809017 + 2.48990i) q^{21} +(6.28115 - 3.94298i) q^{22} +(-4.42705 - 3.21644i) q^{23} +(1.80902 - 1.31433i) q^{24} +(-4.04508 - 2.93893i) q^{25} +(4.14590 - 12.7598i) q^{26} +(0.309017 + 0.951057i) q^{27} +(2.42705 - 7.46969i) q^{28} +7.09017 q^{29} +(-1.54508 - 4.75528i) q^{30} +(2.30902 + 7.10642i) q^{31} +6.70820 q^{32} +(1.23607 - 3.07768i) q^{33} +(11.2812 - 8.19624i) q^{34} +(-4.73607 - 3.44095i) q^{35} +(0.927051 - 2.85317i) q^{36} +(0.354102 + 1.08981i) q^{37} -14.7984 q^{38} +(-1.85410 - 5.70634i) q^{39} +(-1.54508 + 4.75528i) q^{40} +(-1.42705 - 1.03681i) q^{41} +(-1.80902 - 5.56758i) q^{42} +7.94427 q^{43} +(-8.42705 + 5.29007i) q^{44} +(-1.80902 - 1.31433i) q^{45} +(9.89919 + 7.19218i) q^{46} +(-6.54508 + 4.75528i) q^{47} +(0.809017 - 0.587785i) q^{48} +(0.118034 + 0.0857567i) q^{49} +(9.04508 + 6.57164i) q^{50} +(1.92705 - 5.93085i) q^{51} +(-5.56231 + 17.1190i) q^{52} +(0.809017 + 0.587785i) q^{53} +(-0.690983 - 2.12663i) q^{54} +(1.80902 + 7.19218i) q^{55} +(-1.80902 + 5.56758i) q^{56} +(-5.35410 + 3.88998i) q^{57} -15.8541 q^{58} +(3.61803 + 11.1352i) q^{59} +(2.07295 + 6.37988i) q^{60} +(-1.64590 - 5.06555i) q^{61} +(-5.16312 - 15.8904i) q^{62} +(-2.11803 - 1.53884i) q^{63} -13.0000 q^{64} +(10.8541 + 7.88597i) q^{65} +(-2.76393 + 6.88191i) q^{66} +(-1.80902 + 5.56758i) q^{67} +(-15.1353 + 10.9964i) q^{68} +5.47214 q^{69} +(10.5902 + 7.69421i) q^{70} +(2.30902 - 7.10642i) q^{71} +(-0.690983 + 2.12663i) q^{72} +(2.61803 - 1.90211i) q^{73} +(-0.791796 - 2.43690i) q^{74} +5.00000 q^{75} +19.8541 q^{76} +(2.11803 + 8.42075i) q^{77} +(4.14590 + 12.7598i) q^{78} +(10.4721 + 7.60845i) q^{79} +(-0.690983 + 2.12663i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(3.19098 + 2.31838i) q^{82} +(6.92705 - 5.03280i) q^{83} +(2.42705 + 7.46969i) q^{84} +(4.30902 + 13.2618i) q^{85} -17.7639 q^{86} +(-5.73607 + 4.16750i) q^{87} +(6.28115 - 3.94298i) q^{88} +(-2.88197 - 2.09387i) q^{89} +(4.04508 + 2.93893i) q^{90} +(12.7082 + 9.23305i) q^{91} +(-13.2812 - 9.64932i) q^{92} +(-6.04508 - 4.39201i) q^{93} +(14.6353 - 10.6331i) q^{94} +(4.57295 - 14.0741i) q^{95} +(-5.42705 + 3.94298i) q^{96} +(-2.04508 - 1.48584i) q^{97} +(-0.263932 - 0.191758i) q^{98} +(0.809017 + 3.21644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q - q^{3} + 12 q^{4} + 5 q^{5} + 5 q^{6} + q^{7} - q^{9} + O(q^{10}) \) \( 4 q - q^{3} + 12 q^{4} + 5 q^{5} + 5 q^{6} + q^{7} - q^{9} + 5 q^{10} - 9 q^{11} - 3 q^{12} + 6 q^{13} - 5 q^{14} + 5 q^{15} - 4 q^{16} - 9 q^{17} - 5 q^{18} + 22 q^{19} + 15 q^{20} + q^{21} + 5 q^{22} - 11 q^{23} + 5 q^{24} - 5 q^{25} + 30 q^{26} - q^{27} + 3 q^{28} + 6 q^{29} + 5 q^{30} + 7 q^{31} - 4 q^{33} + 25 q^{34} - 10 q^{35} - 3 q^{36} - 12 q^{37} - 10 q^{38} + 6 q^{39} + 5 q^{40} + q^{41} - 5 q^{42} - 4 q^{43} - 27 q^{44} - 5 q^{45} + 15 q^{46} - 15 q^{47} + q^{48} - 4 q^{49} + 25 q^{50} + q^{51} + 18 q^{52} + q^{53} - 5 q^{54} + 5 q^{55} - 5 q^{56} - 8 q^{57} - 50 q^{58} + 10 q^{59} + 15 q^{60} - 20 q^{61} - 5 q^{62} - 4 q^{63} - 52 q^{64} + 30 q^{65} - 20 q^{66} - 5 q^{67} - 27 q^{68} + 4 q^{69} + 20 q^{70} + 7 q^{71} - 5 q^{72} + 6 q^{73} - 30 q^{74} + 20 q^{75} + 66 q^{76} + 4 q^{77} + 30 q^{78} + 24 q^{79} - 5 q^{80} - q^{81} + 15 q^{82} + 21 q^{83} + 3 q^{84} + 15 q^{85} - 80 q^{86} - 14 q^{87} + 5 q^{88} - 16 q^{89} + 5 q^{90} + 24 q^{91} - 33 q^{92} - 13 q^{93} + 25 q^{94} + 25 q^{95} - 15 q^{96} + 3 q^{97} - 10 q^{98} + q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).

\(n\) \(376\) \(551\) \(727\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.23607 −1.58114 −0.790569 0.612372i \(-0.790215\pi\)
−0.790569 + 0.612372i \(0.790215\pi\)
\(3\) −0.809017 + 0.587785i −0.467086 + 0.339358i
\(4\) 3.00000 1.50000
\(5\) 0.690983 2.12663i 0.309017 0.951057i
\(6\) 1.80902 1.31433i 0.738528 0.536572i
\(7\) 0.809017 2.48990i 0.305780 0.941093i −0.673605 0.739091i \(-0.735255\pi\)
0.979385 0.202002i \(-0.0647447\pi\)
\(8\) −2.23607 −0.790569
\(9\) 0.309017 0.951057i 0.103006 0.317019i
\(10\) −1.54508 + 4.75528i −0.488599 + 1.50375i
\(11\) −2.80902 + 1.76336i −0.846950 + 0.531672i
\(12\) −2.42705 + 1.76336i −0.700629 + 0.509037i
\(13\) −1.85410 + 5.70634i −0.514235 + 1.58265i 0.270434 + 0.962739i \(0.412833\pi\)
−0.784669 + 0.619915i \(0.787167\pi\)
\(14\) −1.80902 + 5.56758i −0.483480 + 1.48800i
\(15\) 0.690983 + 2.12663i 0.178411 + 0.549093i
\(16\) −1.00000 −0.250000
\(17\) −5.04508 + 3.66547i −1.22361 + 0.889007i −0.996395 0.0848372i \(-0.972963\pi\)
−0.227218 + 0.973844i \(0.572963\pi\)
\(18\) −0.690983 + 2.12663i −0.162866 + 0.501251i
\(19\) 6.61803 1.51828 0.759141 0.650927i \(-0.225619\pi\)
0.759141 + 0.650927i \(0.225619\pi\)
\(20\) 2.07295 6.37988i 0.463525 1.42658i
\(21\) 0.809017 + 2.48990i 0.176542 + 0.543340i
\(22\) 6.28115 3.94298i 1.33915 0.840647i
\(23\) −4.42705 3.21644i −0.923104 0.670674i 0.0211907 0.999775i \(-0.493254\pi\)
−0.944295 + 0.329101i \(0.893254\pi\)
\(24\) 1.80902 1.31433i 0.369264 0.268286i
\(25\) −4.04508 2.93893i −0.809017 0.587785i
\(26\) 4.14590 12.7598i 0.813077 2.50240i
\(27\) 0.309017 + 0.951057i 0.0594703 + 0.183031i
\(28\) 2.42705 7.46969i 0.458670 1.41164i
\(29\) 7.09017 1.31661 0.658306 0.752751i \(-0.271273\pi\)
0.658306 + 0.752751i \(0.271273\pi\)
\(30\) −1.54508 4.75528i −0.282093 0.868192i
\(31\) 2.30902 + 7.10642i 0.414712 + 1.27635i 0.912509 + 0.409058i \(0.134143\pi\)
−0.497797 + 0.867294i \(0.665857\pi\)
\(32\) 6.70820 1.18585
\(33\) 1.23607 3.07768i 0.215172 0.535756i
\(34\) 11.2812 8.19624i 1.93470 1.40564i
\(35\) −4.73607 3.44095i −0.800542 0.581628i
\(36\) 0.927051 2.85317i 0.154508 0.475528i
\(37\) 0.354102 + 1.08981i 0.0582140 + 0.179164i 0.975935 0.218061i \(-0.0699732\pi\)
−0.917721 + 0.397225i \(0.869973\pi\)
\(38\) −14.7984 −2.40061
\(39\) −1.85410 5.70634i −0.296894 0.913746i
\(40\) −1.54508 + 4.75528i −0.244299 + 0.751876i
\(41\) −1.42705 1.03681i −0.222868 0.161923i 0.470749 0.882267i \(-0.343984\pi\)
−0.693617 + 0.720344i \(0.743984\pi\)
\(42\) −1.80902 5.56758i −0.279137 0.859097i
\(43\) 7.94427 1.21149 0.605745 0.795659i \(-0.292875\pi\)
0.605745 + 0.795659i \(0.292875\pi\)
\(44\) −8.42705 + 5.29007i −1.27043 + 0.797508i
\(45\) −1.80902 1.31433i −0.269672 0.195928i
\(46\) 9.89919 + 7.19218i 1.45956 + 1.06043i
\(47\) −6.54508 + 4.75528i −0.954699 + 0.693629i −0.951914 0.306367i \(-0.900887\pi\)
−0.00278525 + 0.999996i \(0.500887\pi\)
\(48\) 0.809017 0.587785i 0.116772 0.0848395i
\(49\) 0.118034 + 0.0857567i 0.0168620 + 0.0122510i
\(50\) 9.04508 + 6.57164i 1.27917 + 0.929370i
\(51\) 1.92705 5.93085i 0.269841 0.830486i
\(52\) −5.56231 + 17.1190i −0.771353 + 2.37398i
\(53\) 0.809017 + 0.587785i 0.111127 + 0.0807385i 0.641961 0.766737i \(-0.278121\pi\)
−0.530834 + 0.847476i \(0.678121\pi\)
\(54\) −0.690983 2.12663i −0.0940309 0.289397i
\(55\) 1.80902 + 7.19218i 0.243928 + 0.969793i
\(56\) −1.80902 + 5.56758i −0.241740 + 0.743999i
\(57\) −5.35410 + 3.88998i −0.709168 + 0.515241i
\(58\) −15.8541 −2.08175
\(59\) 3.61803 + 11.1352i 0.471028 + 1.44967i 0.851241 + 0.524776i \(0.175851\pi\)
−0.380213 + 0.924899i \(0.624149\pi\)
\(60\) 2.07295 + 6.37988i 0.267617 + 0.823639i
\(61\) −1.64590 5.06555i −0.210736 0.648578i −0.999429 0.0337908i \(-0.989242\pi\)
0.788693 0.614787i \(-0.210758\pi\)
\(62\) −5.16312 15.8904i −0.655717 2.01809i
\(63\) −2.11803 1.53884i −0.266847 0.193876i
\(64\) −13.0000 −1.62500
\(65\) 10.8541 + 7.88597i 1.34629 + 0.978134i
\(66\) −2.76393 + 6.88191i −0.340217 + 0.847105i
\(67\) −1.80902 + 5.56758i −0.221007 + 0.680188i 0.777666 + 0.628678i \(0.216404\pi\)
−0.998672 + 0.0515105i \(0.983596\pi\)
\(68\) −15.1353 + 10.9964i −1.83542 + 1.33351i
\(69\) 5.47214 0.658768
\(70\) 10.5902 + 7.69421i 1.26577 + 0.919634i
\(71\) 2.30902 7.10642i 0.274030 0.843377i −0.715445 0.698670i \(-0.753776\pi\)
0.989474 0.144708i \(-0.0462242\pi\)
\(72\) −0.690983 + 2.12663i −0.0814331 + 0.250625i
\(73\) 2.61803 1.90211i 0.306418 0.222625i −0.423940 0.905690i \(-0.639353\pi\)
0.730358 + 0.683065i \(0.239353\pi\)
\(74\) −0.791796 2.43690i −0.0920444 0.283284i
\(75\) 5.00000 0.577350
\(76\) 19.8541 2.27742
\(77\) 2.11803 + 8.42075i 0.241372 + 0.959634i
\(78\) 4.14590 + 12.7598i 0.469431 + 1.44476i
\(79\) 10.4721 + 7.60845i 1.17821 + 0.856018i 0.991968 0.126487i \(-0.0403701\pi\)
0.186239 + 0.982504i \(0.440370\pi\)
\(80\) −0.690983 + 2.12663i −0.0772542 + 0.237764i
\(81\) −0.809017 0.587785i −0.0898908 0.0653095i
\(82\) 3.19098 + 2.31838i 0.352385 + 0.256023i
\(83\) 6.92705 5.03280i 0.760343 0.552421i −0.138673 0.990338i \(-0.544284\pi\)
0.899015 + 0.437917i \(0.144284\pi\)
\(84\) 2.42705 + 7.46969i 0.264813 + 0.815011i
\(85\) 4.30902 + 13.2618i 0.467379 + 1.43844i
\(86\) −17.7639 −1.91553
\(87\) −5.73607 + 4.16750i −0.614971 + 0.446803i
\(88\) 6.28115 3.94298i 0.669573 0.420323i
\(89\) −2.88197 2.09387i −0.305488 0.221950i 0.424470 0.905442i \(-0.360460\pi\)
−0.729958 + 0.683492i \(0.760460\pi\)
\(90\) 4.04508 + 2.93893i 0.426389 + 0.309790i
\(91\) 12.7082 + 9.23305i 1.33218 + 0.967887i
\(92\) −13.2812 9.64932i −1.38466 1.00601i
\(93\) −6.04508 4.39201i −0.626846 0.455430i
\(94\) 14.6353 10.6331i 1.50951 1.09672i
\(95\) 4.57295 14.0741i 0.469175 1.44397i
\(96\) −5.42705 + 3.94298i −0.553896 + 0.402429i
\(97\) −2.04508 1.48584i −0.207647 0.150864i 0.479101 0.877760i \(-0.340963\pi\)
−0.686748 + 0.726895i \(0.740963\pi\)
\(98\) −0.263932 0.191758i −0.0266612 0.0193705i
\(99\) 0.809017 + 3.21644i 0.0813093 + 0.323264i
\(100\) −12.1353 8.81678i −1.21353 0.881678i
\(101\) 2.66312 1.93487i 0.264990 0.192527i −0.447354 0.894357i \(-0.647634\pi\)
0.712344 + 0.701830i \(0.247634\pi\)
\(102\) −4.30902 + 13.2618i −0.426656 + 1.31311i
\(103\) −8.70820 −0.858045 −0.429022 0.903294i \(-0.641142\pi\)
−0.429022 + 0.903294i \(0.641142\pi\)
\(104\) 4.14590 12.7598i 0.406539 1.25120i
\(105\) 5.85410 0.571302
\(106\) −1.80902 1.31433i −0.175707 0.127659i
\(107\) 3.83688 + 11.8087i 0.370925 + 1.14159i 0.946187 + 0.323621i \(0.104900\pi\)
−0.575261 + 0.817970i \(0.695100\pi\)
\(108\) 0.927051 + 2.85317i 0.0892055 + 0.274546i
\(109\) −3.47214 + 2.52265i −0.332570 + 0.241626i −0.741520 0.670930i \(-0.765895\pi\)
0.408950 + 0.912557i \(0.365895\pi\)
\(110\) −4.04508 16.0822i −0.385684 1.53338i
\(111\) −0.927051 0.673542i −0.0879918 0.0639298i
\(112\) −0.809017 + 2.48990i −0.0764449 + 0.235273i
\(113\) 6.04508 + 4.39201i 0.568674 + 0.413166i 0.834623 0.550821i \(-0.185685\pi\)
−0.265949 + 0.963987i \(0.585685\pi\)
\(114\) 11.9721 8.69827i 1.12129 0.814667i
\(115\) −9.89919 + 7.19218i −0.923104 + 0.670674i
\(116\) 21.2705 1.97492
\(117\) 4.85410 + 3.52671i 0.448762 + 0.326045i
\(118\) −8.09017 24.8990i −0.744761 2.29214i
\(119\) 5.04508 + 15.5272i 0.462482 + 1.42337i
\(120\) −1.54508 4.75528i −0.141046 0.434096i
\(121\) 4.78115 9.90659i 0.434650 0.900599i
\(122\) 3.68034 + 11.3269i 0.333202 + 1.02549i
\(123\) 1.76393 0.159048
\(124\) 6.92705 + 21.3193i 0.622068 + 1.91453i
\(125\) −9.04508 + 6.57164i −0.809017 + 0.587785i
\(126\) 4.73607 + 3.44095i 0.421922 + 0.306545i
\(127\) 2.20820 + 6.79615i 0.195946 + 0.603061i 0.999964 + 0.00845587i \(0.00269162\pi\)
−0.804018 + 0.594605i \(0.797308\pi\)
\(128\) 15.6525 1.38350
\(129\) −6.42705 + 4.66953i −0.565870 + 0.411129i
\(130\) −24.2705 17.6336i −2.12866 1.54657i
\(131\) −5.35410 + 16.4782i −0.467790 + 1.43971i 0.387649 + 0.921807i \(0.373287\pi\)
−0.855439 + 0.517903i \(0.826713\pi\)
\(132\) 3.70820 9.23305i 0.322758 0.803634i
\(133\) 5.35410 16.4782i 0.464260 1.42884i
\(134\) 4.04508 12.4495i 0.349442 1.07547i
\(135\) 2.23607 0.192450
\(136\) 11.2812 8.19624i 0.967351 0.702822i
\(137\) 21.7082 1.85466 0.927329 0.374248i \(-0.122099\pi\)
0.927329 + 0.374248i \(0.122099\pi\)
\(138\) −12.2361 −1.04160
\(139\) −4.16312 + 3.02468i −0.353111 + 0.256550i −0.750173 0.661242i \(-0.770030\pi\)
0.397062 + 0.917792i \(0.370030\pi\)
\(140\) −14.2082 10.3229i −1.20081 0.872441i
\(141\) 2.50000 7.69421i 0.210538 0.647969i
\(142\) −5.16312 + 15.8904i −0.433279 + 1.33350i
\(143\) −4.85410 19.2986i −0.405920 1.61383i
\(144\) −0.309017 + 0.951057i −0.0257514 + 0.0792547i
\(145\) 4.89919 15.0781i 0.406855 1.25217i
\(146\) −5.85410 + 4.25325i −0.484489 + 0.352002i
\(147\) −0.145898 −0.0120335
\(148\) 1.06231 + 3.26944i 0.0873210 + 0.268746i
\(149\) 0.545085 + 0.396027i 0.0446551 + 0.0324438i 0.609889 0.792487i \(-0.291214\pi\)
−0.565234 + 0.824931i \(0.691214\pi\)
\(150\) −11.1803 −0.912871
\(151\) 0.500000 + 1.53884i 0.0406894 + 0.125229i 0.969338 0.245732i \(-0.0790283\pi\)
−0.928648 + 0.370961i \(0.879028\pi\)
\(152\) −14.7984 −1.20031
\(153\) 1.92705 + 5.93085i 0.155793 + 0.479481i
\(154\) −4.73607 18.8294i −0.381643 1.51731i
\(155\) 16.7082 1.34204
\(156\) −5.56231 17.1190i −0.445341 1.37062i
\(157\) −2.69098 8.28199i −0.214764 0.660975i −0.999170 0.0407279i \(-0.987032\pi\)
0.784406 0.620247i \(-0.212968\pi\)
\(158\) −23.4164 17.0130i −1.86291 1.35348i
\(159\) −1.00000 −0.0793052
\(160\) 4.63525 14.2658i 0.366449 1.12781i
\(161\) −11.5902 + 8.42075i −0.913433 + 0.663648i
\(162\) 1.80902 + 1.31433i 0.142130 + 0.103263i
\(163\) −4.01722 + 12.3637i −0.314653 + 0.968402i 0.661244 + 0.750171i \(0.270029\pi\)
−0.975897 + 0.218232i \(0.929971\pi\)
\(164\) −4.28115 3.11044i −0.334302 0.242885i
\(165\) −5.69098 4.75528i −0.443042 0.370198i
\(166\) −15.4894 + 11.2537i −1.20221 + 0.873455i
\(167\) 7.82624 + 24.0867i 0.605612 + 1.86388i 0.492525 + 0.870299i \(0.336074\pi\)
0.113088 + 0.993585i \(0.463926\pi\)
\(168\) −1.80902 5.56758i −0.139569 0.429548i
\(169\) −18.6074 13.5191i −1.43134 1.03993i
\(170\) −9.63525 29.6543i −0.738990 2.27438i
\(171\) 2.04508 6.29412i 0.156392 0.481324i
\(172\) 23.8328 1.81724
\(173\) 6.26393 19.2784i 0.476238 1.46571i −0.368043 0.929809i \(-0.619972\pi\)
0.844281 0.535901i \(-0.180028\pi\)
\(174\) 12.8262 9.31881i 0.972355 0.706457i
\(175\) −10.5902 + 7.69421i −0.800542 + 0.581628i
\(176\) 2.80902 1.76336i 0.211738 0.132918i
\(177\) −9.47214 6.88191i −0.711969 0.517276i
\(178\) 6.44427 + 4.68204i 0.483019 + 0.350934i
\(179\) −7.00000 + 5.08580i −0.523205 + 0.380130i −0.817810 0.575489i \(-0.804812\pi\)
0.294605 + 0.955619i \(0.404812\pi\)
\(180\) −5.42705 3.94298i −0.404508 0.293893i
\(181\) 9.20820 6.69015i 0.684440 0.497275i −0.190387 0.981709i \(-0.560974\pi\)
0.874828 + 0.484434i \(0.160974\pi\)
\(182\) −28.4164 20.6457i −2.10636 1.53036i
\(183\) 4.30902 + 3.13068i 0.318532 + 0.231427i
\(184\) 9.89919 + 7.19218i 0.729778 + 0.530215i
\(185\) 2.56231 0.188384
\(186\) 13.5172 + 9.82084i 0.991131 + 0.720099i
\(187\) 7.70820 19.1926i 0.563680 1.40351i
\(188\) −19.6353 + 14.2658i −1.43205 + 1.04044i
\(189\) 2.61803 0.190434
\(190\) −10.2254 + 31.4706i −0.741830 + 2.28312i
\(191\) 4.44427 + 13.6781i 0.321576 + 0.989710i 0.972962 + 0.230964i \(0.0741878\pi\)
−0.651386 + 0.758746i \(0.725812\pi\)
\(192\) 10.5172 7.64121i 0.759015 0.551457i
\(193\) 2.73607 + 1.98787i 0.196946 + 0.143090i 0.681888 0.731457i \(-0.261159\pi\)
−0.484942 + 0.874547i \(0.661159\pi\)
\(194\) 4.57295 + 3.32244i 0.328319 + 0.238537i
\(195\) −13.4164 −0.960769
\(196\) 0.354102 + 0.257270i 0.0252930 + 0.0183764i
\(197\) −2.01722 6.20837i −0.143721 0.442328i 0.853123 0.521709i \(-0.174705\pi\)
−0.996844 + 0.0793815i \(0.974705\pi\)
\(198\) −1.80902 7.19218i −0.128561 0.511126i
\(199\) −13.7984 −0.978141 −0.489070 0.872244i \(-0.662664\pi\)
−0.489070 + 0.872244i \(0.662664\pi\)
\(200\) 9.04508 + 6.57164i 0.639584 + 0.464685i
\(201\) −1.80902 5.56758i −0.127598 0.392707i
\(202\) −5.95492 + 4.32650i −0.418986 + 0.304411i
\(203\) 5.73607 17.6538i 0.402593 1.23905i
\(204\) 5.78115 17.7926i 0.404762 1.24573i
\(205\) −3.19098 + 2.31838i −0.222868 + 0.161923i
\(206\) 19.4721 1.35669
\(207\) −4.42705 + 3.21644i −0.307701 + 0.223558i
\(208\) 1.85410 5.70634i 0.128559 0.395663i
\(209\) −18.5902 + 11.6699i −1.28591 + 0.807227i
\(210\) −13.0902 −0.903308
\(211\) −11.7082 −0.806026 −0.403013 0.915194i \(-0.632037\pi\)
−0.403013 + 0.915194i \(0.632037\pi\)
\(212\) 2.42705 + 1.76336i 0.166691 + 0.121108i
\(213\) 2.30902 + 7.10642i 0.158211 + 0.486924i
\(214\) −8.57953 26.4051i −0.586484 1.80501i
\(215\) 5.48936 16.8945i 0.374371 1.15220i
\(216\) −0.690983 2.12663i −0.0470154 0.144699i
\(217\) 19.5623 1.32798
\(218\) 7.76393 5.64083i 0.525840 0.382045i
\(219\) −1.00000 + 3.07768i −0.0675737 + 0.207971i
\(220\) 5.42705 + 21.5765i 0.365892 + 1.45469i
\(221\) −11.5623 35.5851i −0.777765 2.39371i
\(222\) 2.07295 + 1.50609i 0.139127 + 0.101082i
\(223\) 1.11803 3.44095i 0.0748691 0.230423i −0.906618 0.421953i \(-0.861345\pi\)
0.981487 + 0.191530i \(0.0613448\pi\)
\(224\) 5.42705 16.7027i 0.362610 1.11600i
\(225\) −4.04508 + 2.93893i −0.269672 + 0.195928i
\(226\) −13.5172 9.82084i −0.899152 0.653272i
\(227\) −7.51722 + 5.46158i −0.498935 + 0.362498i −0.808610 0.588345i \(-0.799780\pi\)
0.309675 + 0.950843i \(0.399780\pi\)
\(228\) −16.0623 + 11.6699i −1.06375 + 0.772861i
\(229\) −13.7533 9.99235i −0.908843 0.660313i 0.0318790 0.999492i \(-0.489851\pi\)
−0.940722 + 0.339179i \(0.889851\pi\)
\(230\) 22.1353 16.0822i 1.45956 1.06043i
\(231\) −6.66312 5.56758i −0.438401 0.366320i
\(232\) −15.8541 −1.04087
\(233\) 7.52786 + 23.1684i 0.493167 + 1.51781i 0.819794 + 0.572658i \(0.194088\pi\)
−0.326628 + 0.945153i \(0.605912\pi\)
\(234\) −10.8541 7.88597i −0.709555 0.515522i
\(235\) 5.59017 + 17.2048i 0.364662 + 1.12232i
\(236\) 10.8541 + 33.4055i 0.706542 + 2.17451i
\(237\) −12.9443 −0.840821
\(238\) −11.2812 34.7198i −0.731249 2.25055i
\(239\) −4.04508 + 12.4495i −0.261655 + 0.805291i 0.730790 + 0.682602i \(0.239152\pi\)
−0.992445 + 0.122689i \(0.960848\pi\)
\(240\) −0.690983 2.12663i −0.0446028 0.137273i
\(241\) −14.4443 + 10.4944i −0.930437 + 0.676002i −0.946100 0.323875i \(-0.895014\pi\)
0.0156625 + 0.999877i \(0.495014\pi\)
\(242\) −10.6910 + 22.1518i −0.687242 + 1.42397i
\(243\) 1.00000 0.0641500
\(244\) −4.93769 15.1967i −0.316103 0.972866i
\(245\) 0.263932 0.191758i 0.0168620 0.0122510i
\(246\) −3.94427 −0.251478
\(247\) −12.2705 + 37.7647i −0.780754 + 2.40291i
\(248\) −5.16312 15.8904i −0.327858 1.00904i
\(249\) −2.64590 + 8.14324i −0.167677 + 0.516057i
\(250\) 20.2254 14.6946i 1.27917 0.929370i
\(251\) 0.0278640 0.0202444i 0.00175876 0.00127782i −0.586906 0.809655i \(-0.699654\pi\)
0.588664 + 0.808378i \(0.299654\pi\)
\(252\) −6.35410 4.61653i −0.400271 0.290814i
\(253\) 18.1074 + 1.22857i 1.13840 + 0.0772396i
\(254\) −4.93769 15.1967i −0.309818 0.953523i
\(255\) −11.2812 8.19624i −0.706453 0.513268i
\(256\) −9.00000 −0.562500
\(257\) 5.01722 15.4414i 0.312966 0.963209i −0.663618 0.748072i \(-0.730980\pi\)
0.976584 0.215138i \(-0.0690200\pi\)
\(258\) 14.3713 10.4414i 0.894719 0.650052i
\(259\) 3.00000 0.186411
\(260\) 32.5623 + 23.6579i 2.01943 + 1.46720i
\(261\) 2.19098 6.74315i 0.135618 0.417391i
\(262\) 11.9721 36.8464i 0.739641 2.27638i
\(263\) 18.7082 13.5923i 1.15360 0.838137i 0.164642 0.986353i \(-0.447353\pi\)
0.988955 + 0.148216i \(0.0473530\pi\)
\(264\) −2.76393 + 6.88191i −0.170108 + 0.423552i
\(265\) 1.80902 1.31433i 0.111127 0.0807385i
\(266\) −11.9721 + 36.8464i −0.734059 + 2.25920i
\(267\) 3.56231 0.218010
\(268\) −5.42705 + 16.7027i −0.331510 + 1.02028i
\(269\) 14.2812 10.3759i 0.870737 0.632628i −0.0600474 0.998196i \(-0.519125\pi\)
0.930785 + 0.365568i \(0.119125\pi\)
\(270\) −5.00000 −0.304290
\(271\) 3.79837 0.230735 0.115367 0.993323i \(-0.463195\pi\)
0.115367 + 0.993323i \(0.463195\pi\)
\(272\) 5.04508 3.66547i 0.305903 0.222252i
\(273\) −15.7082 −0.950704
\(274\) −48.5410 −2.93247
\(275\) 16.5451 + 1.12257i 0.997706 + 0.0676935i
\(276\) 16.4164 0.988152
\(277\) 20.6180 1.23882 0.619409 0.785069i \(-0.287372\pi\)
0.619409 + 0.785069i \(0.287372\pi\)
\(278\) 9.30902 6.76340i 0.558318 0.405642i
\(279\) 7.47214 0.447345
\(280\) 10.5902 + 7.69421i 0.632884 + 0.459817i
\(281\) −11.5172 + 8.36775i −0.687060 + 0.499178i −0.875692 0.482870i \(-0.839595\pi\)
0.188632 + 0.982048i \(0.439595\pi\)
\(282\) −5.59017 + 17.2048i −0.332890 + 1.02453i
\(283\) −18.8885 −1.12281 −0.561404 0.827542i \(-0.689738\pi\)
−0.561404 + 0.827542i \(0.689738\pi\)
\(284\) 6.92705 21.3193i 0.411045 1.26507i
\(285\) 4.57295 + 14.0741i 0.270878 + 0.833677i
\(286\) 10.8541 + 43.1531i 0.641817 + 2.55170i
\(287\) −3.73607 + 2.71441i −0.220533 + 0.160227i
\(288\) 2.07295 6.37988i 0.122150 0.375938i
\(289\) 6.76393 20.8172i 0.397878 1.22454i
\(290\) −10.9549 + 33.7158i −0.643295 + 1.97986i
\(291\) 2.52786 0.148186
\(292\) 7.85410 5.70634i 0.459627 0.333938i
\(293\) −9.03444 + 27.8052i −0.527798 + 1.62439i 0.230918 + 0.972973i \(0.425827\pi\)
−0.758716 + 0.651421i \(0.774173\pi\)
\(294\) 0.326238 0.0190266
\(295\) 26.1803 1.52428
\(296\) −0.791796 2.43690i −0.0460222 0.141642i
\(297\) −2.54508 2.12663i −0.147681 0.123399i
\(298\) −1.21885 0.885544i −0.0706059 0.0512982i
\(299\) 26.5623 19.2986i 1.53614 1.11607i
\(300\) 15.0000 0.866025
\(301\) 6.42705 19.7804i 0.370449 1.14012i
\(302\) −1.11803 3.44095i −0.0643356 0.198005i
\(303\) −1.01722 + 3.13068i −0.0584378 + 0.179853i
\(304\) −6.61803 −0.379570
\(305\) −11.9098 −0.681955
\(306\) −4.30902 13.2618i −0.246330 0.758126i
\(307\) 1.58359 0.0903804 0.0451902 0.998978i \(-0.485611\pi\)
0.0451902 + 0.998978i \(0.485611\pi\)
\(308\) 6.35410 + 25.2623i 0.362059 + 1.43945i
\(309\) 7.04508 5.11855i 0.400781 0.291184i
\(310\) −37.3607 −2.12194
\(311\) −8.54508 + 26.2991i −0.484547 + 1.49128i 0.348088 + 0.937462i \(0.386831\pi\)
−0.832635 + 0.553821i \(0.813169\pi\)
\(312\) 4.14590 + 12.7598i 0.234715 + 0.722379i
\(313\) −26.4164 −1.49314 −0.746572 0.665305i \(-0.768302\pi\)
−0.746572 + 0.665305i \(0.768302\pi\)
\(314\) 6.01722 + 18.5191i 0.339571 + 1.04509i
\(315\) −4.73607 + 3.44095i −0.266847 + 0.193876i
\(316\) 31.4164 + 22.8254i 1.76731 + 1.28403i
\(317\) −3.09017 9.51057i −0.173561 0.534167i 0.826004 0.563665i \(-0.190609\pi\)
−0.999565 + 0.0294983i \(0.990609\pi\)
\(318\) 2.23607 0.125392
\(319\) −19.9164 + 12.5025i −1.11510 + 0.700005i
\(320\) −8.98278 + 27.6462i −0.502153 + 1.54547i
\(321\) −10.0451 7.29818i −0.560662 0.407345i
\(322\) 25.9164 18.8294i 1.44426 1.04932i
\(323\) −33.3885 + 24.2582i −1.85779 + 1.34976i
\(324\) −2.42705 1.76336i −0.134836 0.0979642i
\(325\) 24.2705 17.6336i 1.34629 0.978134i
\(326\) 8.98278 27.6462i 0.497510 1.53118i
\(327\) 1.32624 4.08174i 0.0733411 0.225721i
\(328\) 3.19098 + 2.31838i 0.176193 + 0.128011i
\(329\) 6.54508 + 20.1437i 0.360842 + 1.11056i
\(330\) 12.7254 + 10.6331i 0.700512 + 0.585335i
\(331\) 2.18034 6.71040i 0.119842 0.368837i −0.873084 0.487570i \(-0.837883\pi\)
0.992926 + 0.118733i \(0.0378834\pi\)
\(332\) 20.7812 15.0984i 1.14051 0.828632i
\(333\) 1.14590 0.0627948
\(334\) −17.5000 53.8595i −0.957557 2.94706i
\(335\) 10.5902 + 7.69421i 0.578603 + 0.420380i
\(336\) −0.809017 2.48990i −0.0441355 0.135835i
\(337\) 3.74671 + 11.5312i 0.204096 + 0.628144i 0.999749 + 0.0223912i \(0.00712795\pi\)
−0.795653 + 0.605753i \(0.792872\pi\)
\(338\) 41.6074 + 30.2295i 2.26314 + 1.64427i
\(339\) −7.47214 −0.405831
\(340\) 12.9271 + 39.7854i 0.701068 + 2.15766i
\(341\) −19.0172 15.8904i −1.02984 0.860516i
\(342\) −4.57295 + 14.0741i −0.247277 + 0.761040i
\(343\) 15.1353 10.9964i 0.817227 0.593750i
\(344\) −17.7639 −0.957767
\(345\) 3.78115 11.6372i 0.203570 0.626525i
\(346\) −14.0066 + 43.1078i −0.752998 + 2.31749i
\(347\) 5.54508 17.0660i 0.297676 0.916152i −0.684634 0.728887i \(-0.740038\pi\)
0.982310 0.187265i \(-0.0599622\pi\)
\(348\) −17.2082 + 12.5025i −0.922457 + 0.670204i
\(349\) −0.100813 0.310271i −0.00539640 0.0166084i 0.948322 0.317309i \(-0.102779\pi\)
−0.953718 + 0.300701i \(0.902779\pi\)
\(350\) 23.6803 17.2048i 1.26577 0.919634i
\(351\) −6.00000 −0.320256
\(352\) −18.8435 + 11.8290i −1.00436 + 0.630485i
\(353\) 4.50000 + 13.8496i 0.239511 + 0.737139i 0.996491 + 0.0837006i \(0.0266739\pi\)
−0.756980 + 0.653438i \(0.773326\pi\)
\(354\) 21.1803 + 15.3884i 1.12572 + 0.817885i
\(355\) −13.5172 9.82084i −0.717420 0.521236i
\(356\) −8.64590 6.28161i −0.458232 0.332925i
\(357\) −13.2082 9.59632i −0.699052 0.507891i
\(358\) 15.6525 11.3722i 0.827259 0.601039i
\(359\) −3.27051 10.0656i −0.172611 0.531242i 0.826905 0.562341i \(-0.190099\pi\)
−0.999516 + 0.0310993i \(0.990099\pi\)
\(360\) 4.04508 + 2.93893i 0.213195 + 0.154895i
\(361\) 24.7984 1.30518
\(362\) −20.5902 + 14.9596i −1.08220 + 0.786261i
\(363\) 1.95492 + 10.8249i 0.102606 + 0.568160i
\(364\) 38.1246 + 27.6992i 1.99827 + 1.45183i
\(365\) −2.23607 6.88191i −0.117041 0.360216i
\(366\) −9.63525 7.00042i −0.503643 0.365918i
\(367\) 8.69098 + 6.31437i 0.453666 + 0.329607i 0.791041 0.611763i \(-0.209539\pi\)
−0.337376 + 0.941370i \(0.609539\pi\)
\(368\) 4.42705 + 3.21644i 0.230776 + 0.167669i
\(369\) −1.42705 + 1.03681i −0.0742893 + 0.0539743i
\(370\) −5.72949 −0.297862
\(371\) 2.11803 1.53884i 0.109963 0.0798927i
\(372\) −18.1353 13.1760i −0.940269 0.683146i
\(373\) 3.20820 + 2.33090i 0.166115 + 0.120689i 0.667737 0.744398i \(-0.267263\pi\)
−0.501622 + 0.865087i \(0.667263\pi\)
\(374\) −17.2361 + 42.9161i −0.891256 + 2.21914i
\(375\) 3.45492 10.6331i 0.178411 0.549093i
\(376\) 14.6353 10.6331i 0.754756 0.548362i
\(377\) −13.1459 + 40.4589i −0.677048 + 2.08374i
\(378\) −5.85410 −0.301103
\(379\) 8.29837 25.5398i 0.426259 1.31189i −0.475525 0.879702i \(-0.657742\pi\)
0.901784 0.432188i \(-0.142258\pi\)
\(380\) 13.7188 42.2223i 0.703762 2.16596i
\(381\) −5.78115 4.20025i −0.296177 0.215186i
\(382\) −9.93769 30.5851i −0.508457 1.56487i
\(383\) −6.20163 19.0866i −0.316888 0.975282i −0.974970 0.222336i \(-0.928632\pi\)
0.658082 0.752946i \(-0.271368\pi\)
\(384\) −12.6631 + 9.20029i −0.646212 + 0.469501i
\(385\) 19.3713 + 1.31433i 0.987254 + 0.0669843i
\(386\) −6.11803 4.44501i −0.311400 0.226245i
\(387\) 2.45492 7.55545i 0.124790 0.384065i
\(388\) −6.13525 4.45752i −0.311470 0.226296i
\(389\) −3.88197 + 2.82041i −0.196823 + 0.143001i −0.681832 0.731509i \(-0.738816\pi\)
0.485009 + 0.874509i \(0.338816\pi\)
\(390\) 30.0000 1.51911
\(391\) 34.1246 1.72576
\(392\) −0.263932 0.191758i −0.0133306 0.00968523i
\(393\) −5.35410 16.4782i −0.270079 0.831217i
\(394\) 4.51064 + 13.8823i 0.227243 + 0.699382i
\(395\) 23.4164 17.0130i 1.17821 0.856018i
\(396\) 2.42705 + 9.64932i 0.121964 + 0.484897i
\(397\) 6.60739 + 20.3355i 0.331615 + 1.02061i 0.968365 + 0.249537i \(0.0802784\pi\)
−0.636750 + 0.771070i \(0.719722\pi\)
\(398\) 30.8541 1.54658
\(399\) 5.35410 + 16.4782i 0.268040 + 0.824943i
\(400\) 4.04508 + 2.93893i 0.202254 + 0.146946i
\(401\) 13.2812 + 9.64932i 0.663229 + 0.481864i 0.867752 0.496998i \(-0.165564\pi\)
−0.204523 + 0.978862i \(0.565564\pi\)
\(402\) 4.04508 + 12.4495i 0.201751 + 0.620924i
\(403\) −44.8328 −2.23328
\(404\) 7.98936 5.80461i 0.397485 0.288790i
\(405\) −1.80902 + 1.31433i −0.0898908 + 0.0653095i
\(406\) −12.8262 + 39.4751i −0.636555 + 1.95912i
\(407\) −2.91641 2.43690i −0.144561 0.120793i
\(408\) −4.30902 + 13.2618i −0.213328 + 0.656556i
\(409\) −0.600813 + 1.84911i −0.0297083 + 0.0914327i −0.964811 0.262943i \(-0.915307\pi\)
0.935103 + 0.354376i \(0.115307\pi\)
\(410\) 7.13525 5.18407i 0.352385 0.256023i
\(411\) −17.5623 + 12.7598i −0.866285 + 0.629393i
\(412\) −26.1246 −1.28707
\(413\) 30.6525 1.50831
\(414\) 9.89919 7.19218i 0.486518 0.353476i
\(415\) −5.91641 18.2088i −0.290425 0.893836i
\(416\) −12.4377 + 38.2793i −0.609808 + 1.87680i
\(417\) 1.59017 4.89404i 0.0778710 0.239662i
\(418\) 41.5689 26.0948i 2.03320 1.27634i
\(419\) −7.05573 + 21.7153i −0.344695 + 1.06086i 0.617052 + 0.786922i \(0.288327\pi\)
−0.961747 + 0.273939i \(0.911673\pi\)
\(420\) 17.5623 0.856953
\(421\) −21.0172 + 15.2699i −1.02432 + 0.744210i −0.967163 0.254156i \(-0.918202\pi\)
−0.0571534 + 0.998365i \(0.518202\pi\)
\(422\) 26.1803 1.27444
\(423\) 2.50000 + 7.69421i 0.121554 + 0.374105i
\(424\) −1.80902 1.31433i −0.0878536 0.0638294i
\(425\) 31.1803 1.51247
\(426\) −5.16312 15.8904i −0.250154 0.769895i
\(427\) −13.9443 −0.674811
\(428\) 11.5106 + 35.4261i 0.556388 + 1.71239i
\(429\) 15.2705 + 12.7598i 0.737267 + 0.616047i
\(430\) −12.2746 + 37.7773i −0.591933 + 1.82178i
\(431\) 1.54508 + 4.75528i 0.0744241 + 0.229054i 0.981348 0.192241i \(-0.0615756\pi\)
−0.906924 + 0.421295i \(0.861576\pi\)
\(432\) −0.309017 0.951057i −0.0148676 0.0457577i
\(433\) −20.1803 14.6619i −0.969805 0.704605i −0.0143981 0.999896i \(-0.504583\pi\)
−0.955407 + 0.295292i \(0.904583\pi\)
\(434\) −43.7426 −2.09971
\(435\) 4.89919 + 15.0781i 0.234898 + 0.722942i
\(436\) −10.4164 + 7.56796i −0.498855 + 0.362440i
\(437\) −29.2984 21.2865i −1.40153 1.01827i
\(438\) 2.23607 6.88191i 0.106843 0.328830i
\(439\) 3.88197 + 2.82041i 0.185276 + 0.134611i 0.676557 0.736390i \(-0.263471\pi\)
−0.491281 + 0.871001i \(0.663471\pi\)
\(440\) −4.04508 16.0822i −0.192842 0.766689i
\(441\) 0.118034 0.0857567i 0.00562067 0.00408365i
\(442\) 25.8541 + 79.5707i 1.22975 + 3.78479i
\(443\) −11.8713 36.5362i −0.564024 1.73589i −0.670835 0.741607i \(-0.734064\pi\)
0.106811 0.994279i \(-0.465936\pi\)
\(444\) −2.78115 2.02063i −0.131988 0.0958947i
\(445\) −6.44427 + 4.68204i −0.305488 + 0.221950i
\(446\) −2.50000 + 7.69421i −0.118378 + 0.364331i
\(447\) −0.673762 −0.0318679
\(448\) −10.5172 + 32.3687i −0.496892 + 1.52928i
\(449\) −9.78115 + 7.10642i −0.461601 + 0.335373i −0.794159 0.607710i \(-0.792088\pi\)
0.332558 + 0.943083i \(0.392088\pi\)
\(450\) 9.04508 6.57164i 0.426389 0.309790i
\(451\) 5.83688 + 0.396027i 0.274848 + 0.0186482i
\(452\) 18.1353 + 13.1760i 0.853011 + 0.619749i
\(453\) −1.30902 0.951057i −0.0615030 0.0446845i
\(454\) 16.8090 12.2125i 0.788886 0.573159i
\(455\) 28.4164 20.6457i 1.33218 0.967887i
\(456\) 11.9721 8.69827i 0.560647 0.407334i
\(457\) −7.94427 5.77185i −0.371617 0.269996i 0.386264 0.922388i \(-0.373765\pi\)
−0.757881 + 0.652392i \(0.773765\pi\)
\(458\) 30.7533 + 22.3436i 1.43701 + 1.04405i
\(459\) −5.04508 3.66547i −0.235484 0.171089i
\(460\) −29.6976 + 21.5765i −1.38466 + 1.00601i
\(461\) −25.8713 18.7966i −1.20495 0.875446i −0.210185 0.977662i \(-0.567407\pi\)
−0.994762 + 0.102216i \(0.967407\pi\)
\(462\) 14.8992 + 12.4495i 0.693173 + 0.579203i
\(463\) 27.6074 20.0579i 1.28302 0.932172i 0.283384 0.959006i \(-0.408543\pi\)
0.999640 + 0.0268347i \(0.00854278\pi\)
\(464\) −7.09017 −0.329153
\(465\) −13.5172 + 9.82084i −0.626846 + 0.455430i
\(466\) −16.8328 51.8061i −0.779765 2.39987i
\(467\) 12.5902 9.14729i 0.582604 0.423286i −0.257058 0.966396i \(-0.582753\pi\)
0.839662 + 0.543110i \(0.182753\pi\)
\(468\) 14.5623 + 10.5801i 0.673143 + 0.489067i
\(469\) 12.3992 + 9.00854i 0.572541 + 0.415976i
\(470\) −12.5000 38.4710i −0.576582 1.77454i
\(471\) 7.04508 + 5.11855i 0.324620 + 0.235851i
\(472\) −8.09017 24.8990i −0.372380 1.14607i
\(473\) −22.3156 + 14.0086i −1.02607 + 0.644115i
\(474\) 28.9443 1.32945
\(475\) −26.7705 19.4499i −1.22832 0.892423i
\(476\) 15.1353 + 46.5815i 0.693723 + 2.13506i
\(477\) 0.809017 0.587785i 0.0370423 0.0269128i
\(478\) 9.04508 27.8379i 0.413713 1.27328i
\(479\) 4.36475 13.4333i 0.199430 0.613783i −0.800466 0.599378i \(-0.795415\pi\)
0.999896 0.0144051i \(-0.00458544\pi\)
\(480\) 4.63525 + 14.2658i 0.211569 + 0.651144i
\(481\) −6.87539 −0.313491
\(482\) 32.2984 23.4661i 1.47115 1.06885i
\(483\) 4.42705 13.6251i 0.201438 0.619962i
\(484\) 14.3435 29.7198i 0.651975 1.35090i
\(485\) −4.57295 + 3.32244i −0.207647 + 0.150864i
\(486\) −2.23607 −0.101430
\(487\) −12.2082 8.86978i −0.553207 0.401928i 0.275760 0.961227i \(-0.411071\pi\)
−0.828966 + 0.559299i \(0.811071\pi\)
\(488\) 3.68034 + 11.3269i 0.166601 + 0.512746i
\(489\) −4.01722 12.3637i −0.181665 0.559107i
\(490\) −0.590170 + 0.428784i −0.0266612 + 0.0193705i
\(491\) −7.89261 24.2910i −0.356188 1.09624i −0.955317 0.295583i \(-0.904486\pi\)
0.599129 0.800653i \(-0.295514\pi\)
\(492\) 5.29180 0.238573
\(493\) −35.7705 + 25.9888i −1.61102 + 1.17048i
\(494\) 27.4377 84.4445i 1.23448 3.79934i
\(495\) 7.39919 + 0.502029i 0.332569 + 0.0225645i
\(496\) −2.30902 7.10642i −0.103678 0.319088i
\(497\) −15.8262 11.4984i −0.709904 0.515775i
\(498\) 5.91641 18.2088i 0.265121 0.815957i
\(499\) −2.83688 + 8.73102i −0.126996 + 0.390854i −0.994259 0.106996i \(-0.965877\pi\)
0.867263 + 0.497850i \(0.165877\pi\)
\(500\) −27.1353 + 19.7149i −1.21353 + 0.881678i
\(501\) −20.4894 14.8864i −0.915397 0.665075i
\(502\) −0.0623059 + 0.0452679i −0.00278085 + 0.00202040i
\(503\) −4.85410 + 3.52671i −0.216434 + 0.157248i −0.690720 0.723122i \(-0.742706\pi\)
0.474286 + 0.880371i \(0.342706\pi\)
\(504\) 4.73607 + 3.44095i 0.210961 + 0.153272i
\(505\) −2.27458 7.00042i −0.101217 0.311515i
\(506\) −40.4894 2.74717i −1.79997 0.122127i
\(507\) 23.0000 1.02147
\(508\) 6.62461 + 20.3885i 0.293920 + 0.904592i
\(509\) −7.61803 5.53483i −0.337663 0.245327i 0.406012 0.913868i \(-0.366919\pi\)
−0.743675 + 0.668541i \(0.766919\pi\)
\(510\) 25.2254 + 18.3273i 1.11700 + 0.811548i
\(511\) −2.61803 8.05748i −0.115815 0.356442i
\(512\) −11.1803 −0.494106
\(513\) 2.04508 + 6.29412i 0.0902927 + 0.277892i
\(514\) −11.2188 + 34.5281i −0.494842 + 1.52297i
\(515\) −6.01722 + 18.5191i −0.265150 + 0.816049i
\(516\) −19.2812 + 14.0086i −0.848805 + 0.616693i
\(517\) 10.0000 24.8990i 0.439799 1.09506i
\(518\) −6.70820 −0.294742
\(519\) 6.26393 + 19.2784i 0.274956 + 0.846228i
\(520\) −24.2705 17.6336i −1.06433 0.773283i
\(521\) −6.47214 −0.283549 −0.141775 0.989899i \(-0.545281\pi\)
−0.141775 + 0.989899i \(0.545281\pi\)
\(522\) −4.89919 + 15.0781i −0.214432 + 0.659953i
\(523\) 9.82624 + 30.2421i 0.429671 + 1.32239i 0.898450 + 0.439077i \(0.144694\pi\)
−0.468778 + 0.883316i \(0.655306\pi\)
\(524\) −16.0623 + 49.4347i −0.701685 + 2.15956i
\(525\) 4.04508 12.4495i 0.176542 0.543340i
\(526\) −41.8328 + 30.3933i −1.82400 + 1.32521i
\(527\) −37.6976 27.3889i −1.64213 1.19308i
\(528\) −1.23607 + 3.07768i −0.0537930 + 0.133939i
\(529\) 2.14590 + 6.60440i 0.0932999 + 0.287148i
\(530\) −4.04508 + 2.93893i −0.175707 + 0.127659i
\(531\) 11.7082 0.508093
\(532\) 16.0623 49.4347i 0.696389 2.14327i
\(533\) 8.56231 6.22088i 0.370875 0.269456i
\(534\) −7.96556 −0.344703
\(535\) 27.7639 1.20034
\(536\) 4.04508 12.4495i 0.174721 0.537736i
\(537\) 2.67376 8.22899i 0.115381 0.355107i
\(538\) −31.9336 + 23.2011i −1.37676 + 1.00027i
\(539\) −0.482779 0.0327561i −0.0207948 0.00141091i
\(540\) 6.70820 0.288675
\(541\) −0.618034 + 1.90211i −0.0265714 + 0.0817782i −0.963463 0.267842i \(-0.913689\pi\)
0.936891 + 0.349620i \(0.113689\pi\)
\(542\) −8.49342 −0.364824
\(543\) −3.51722 + 10.8249i −0.150938 + 0.464541i
\(544\) −33.8435 + 24.5887i −1.45103 + 1.05423i
\(545\) 2.96556 + 9.12705i 0.127031 + 0.390960i
\(546\) 35.1246 1.50319
\(547\) −32.1697 + 23.3727i −1.37548 + 0.999342i −0.378190 + 0.925728i \(0.623453\pi\)
−0.997287 + 0.0736145i \(0.976547\pi\)
\(548\) 65.1246 2.78199
\(549\) −5.32624 −0.227318
\(550\) −36.9959 2.51014i −1.57751 0.107033i
\(551\) 46.9230 1.99899
\(552\) −12.2361 −0.520802
\(553\) 27.4164 19.9192i 1.16586 0.847050i
\(554\) −46.1033 −1.95874
\(555\) −2.07295 + 1.50609i −0.0879918 + 0.0639298i
\(556\) −12.4894 + 9.07405i −0.529667 + 0.384825i
\(557\) 13.2254 40.7037i 0.560379 1.72467i −0.120917 0.992663i \(-0.538584\pi\)
0.681297 0.732007i \(-0.261416\pi\)
\(558\) −16.7082 −0.707315
\(559\) −14.7295 + 45.3327i −0.622991 + 1.91737i
\(560\) 4.73607 + 3.44095i 0.200135 + 0.145407i
\(561\) 5.04508 + 20.0579i 0.213004 + 0.846847i
\(562\) 25.7533 18.7109i 1.08634 0.789270i
\(563\) −6.93363 + 21.3395i −0.292218 + 0.899353i 0.691924 + 0.721970i \(0.256763\pi\)
−0.984142 + 0.177383i \(0.943237\pi\)
\(564\) 7.50000 23.0826i 0.315807 0.971954i
\(565\) 13.5172 9.82084i 0.568674 0.413166i
\(566\) 42.2361 1.77531
\(567\) −2.11803 + 1.53884i −0.0889491 + 0.0646253i
\(568\) −5.16312 + 15.8904i −0.216640 + 0.666748i
\(569\) 8.74265 0.366511 0.183255 0.983065i \(-0.441336\pi\)
0.183255 + 0.983065i \(0.441336\pi\)
\(570\) −10.2254 31.4706i −0.428296 1.31816i
\(571\) 6.13525 + 18.8824i 0.256752 + 0.790203i 0.993479 + 0.114012i \(0.0363703\pi\)
−0.736727 + 0.676190i \(0.763630\pi\)
\(572\) −14.5623 57.8959i −0.608881 2.42075i
\(573\) −11.6353 8.45351i −0.486070 0.353150i
\(574\) 8.35410 6.06961i 0.348693 0.253341i
\(575\) 8.45492 + 26.0216i 0.352594 + 1.08517i
\(576\) −4.01722 + 12.3637i −0.167384 + 0.515156i
\(577\) −2.70820 8.33499i −0.112744 0.346990i 0.878726 0.477327i \(-0.158394\pi\)
−0.991470 + 0.130337i \(0.958394\pi\)
\(578\) −15.1246 + 46.5488i −0.629101 + 1.93617i
\(579\) −3.38197 −0.140550
\(580\) 14.6976 45.2344i 0.610283 1.87826i
\(581\) −6.92705 21.3193i −0.287382 0.884472i
\(582\) −5.65248 −0.234303
\(583\) −3.30902 0.224514i −0.137045 0.00929842i
\(584\) −5.85410 + 4.25325i −0.242244 + 0.176001i
\(585\) 10.8541 7.88597i 0.448762 0.326045i
\(586\) 20.2016 62.1742i 0.834521 2.56839i
\(587\) 0.190983 + 0.587785i 0.00788271 + 0.0242605i 0.954921 0.296862i \(-0.0959400\pi\)
−0.947038 + 0.321122i \(0.895940\pi\)
\(588\) −0.437694 −0.0180502
\(589\) 15.2812 + 47.0306i 0.629649 + 1.93786i
\(590\) −58.5410 −2.41010
\(591\) 5.28115 + 3.83698i 0.217238 + 0.157832i
\(592\) −0.354102 1.08981i −0.0145535 0.0447911i
\(593\) −20.7082 −0.850384 −0.425192 0.905103i \(-0.639793\pi\)
−0.425192 + 0.905103i \(0.639793\pi\)
\(594\) 5.69098 + 4.75528i 0.233504 + 0.195112i
\(595\) 36.5066 1.49662
\(596\) 1.63525 + 1.18808i 0.0669827 + 0.0486657i
\(597\) 11.1631 8.11048i 0.456876 0.331940i
\(598\) −59.3951 + 43.1531i −2.42885 + 1.76466i
\(599\) 2.32624 + 1.69011i 0.0950475 + 0.0690561i 0.634294 0.773092i \(-0.281291\pi\)
−0.539246 + 0.842148i \(0.681291\pi\)
\(600\) −11.1803 −0.456435
\(601\) −1.35410 + 4.16750i −0.0552350 + 0.169996i −0.974868 0.222783i \(-0.928486\pi\)
0.919633 + 0.392778i \(0.128486\pi\)
\(602\) −14.3713 + 44.2304i −0.585731 + 1.80270i
\(603\) 4.73607 + 3.44095i 0.192868 + 0.140127i
\(604\) 1.50000 + 4.61653i 0.0610341 + 0.187844i
\(605\) −17.7639 17.0130i −0.722207 0.691677i
\(606\) 2.27458 7.00042i 0.0923983 0.284373i
\(607\) 0.954915 0.693786i 0.0387588 0.0281599i −0.568237 0.822865i \(-0.692374\pi\)
0.606996 + 0.794705i \(0.292374\pi\)
\(608\) 44.3951 1.80046
\(609\) 5.73607 + 17.6538i 0.232437 + 0.715368i
\(610\) 26.6312 1.07827
\(611\) −15.0000 46.1653i −0.606835 1.86765i
\(612\) 5.78115 + 17.7926i 0.233689 + 0.719222i
\(613\) −11.4894 8.34751i −0.464051 0.337153i 0.331067 0.943607i \(-0.392591\pi\)
−0.795118 + 0.606454i \(0.792591\pi\)
\(614\) −3.54102 −0.142904
\(615\) 1.21885 3.75123i 0.0491487 0.151264i
\(616\) −4.73607 18.8294i −0.190822 0.758657i
\(617\) 2.03851 6.27388i 0.0820672 0.252577i −0.901601 0.432569i \(-0.857607\pi\)
0.983668 + 0.179992i \(0.0576072\pi\)
\(618\) −15.7533 + 11.4454i −0.633690 + 0.460403i
\(619\) 0.819660 0.0329449 0.0164725 0.999864i \(-0.494756\pi\)
0.0164725 + 0.999864i \(0.494756\pi\)
\(620\) 50.1246 2.01305
\(621\) 1.69098 5.20431i 0.0678568 0.208842i
\(622\) 19.1074 58.8065i 0.766137 2.35793i
\(623\) −7.54508 + 5.48183i −0.302287 + 0.219625i
\(624\) 1.85410 + 5.70634i 0.0742235 + 0.228436i
\(625\) 7.72542 + 23.7764i 0.309017 + 0.951057i
\(626\) 59.0689 2.36087
\(627\) 8.18034 20.3682i 0.326691 0.813428i
\(628\) −8.07295 24.8460i −0.322146 0.991463i
\(629\) −5.78115 4.20025i −0.230510 0.167475i
\(630\) 10.5902 7.69421i 0.421922 0.306545i
\(631\) −11.5623 8.40051i −0.460288 0.334419i 0.333356 0.942801i \(-0.391819\pi\)
−0.793644 + 0.608382i \(0.791819\pi\)
\(632\) −23.4164 17.0130i −0.931455 0.676741i
\(633\) 9.47214 6.88191i 0.376484 0.273531i
\(634\) 6.90983 + 21.2663i 0.274424 + 0.844591i
\(635\) 15.9787 0.634096
\(636\) −3.00000 −0.118958
\(637\) −0.708204 + 0.514540i −0.0280601 + 0.0203868i
\(638\) 44.5344 27.9564i 1.76314 1.10681i
\(639\) −6.04508 4.39201i −0.239140 0.173745i
\(640\) 10.8156 33.2870i 0.427524 1.31578i
\(641\) 2.42705 + 1.76336i 0.0958628 + 0.0696484i 0.634684 0.772772i \(-0.281130\pi\)
−0.538821 + 0.842420i \(0.681130\pi\)
\(642\) 22.4615 + 16.3192i 0.886484 + 0.644069i
\(643\) −6.61803 4.80828i −0.260990 0.189620i 0.449594 0.893233i \(-0.351569\pi\)
−0.710583 + 0.703613i \(0.751569\pi\)
\(644\) −34.7705 + 25.2623i −1.37015 + 0.995472i
\(645\) 5.48936 + 16.8945i 0.216143 + 0.665220i
\(646\) 74.6591 54.2430i 2.93742 2.13416i
\(647\) 20.4721 + 14.8739i 0.804843 + 0.584752i 0.912331 0.409454i \(-0.134281\pi\)
−0.107488 + 0.994206i \(0.534281\pi\)
\(648\) 1.80902 + 1.31433i 0.0710649 + 0.0516317i
\(649\) −29.7984 24.8990i −1.16969 0.977371i
\(650\) −54.2705 + 39.4298i −2.12866 + 1.54657i
\(651\) −15.8262 + 11.4984i −0.620279 + 0.450659i
\(652\) −12.0517 + 37.0912i −0.471980 + 1.45260i
\(653\) 8.03444 0.314412 0.157206 0.987566i \(-0.449751\pi\)
0.157206 + 0.987566i \(0.449751\pi\)
\(654\) −2.96556 + 9.12705i −0.115962 + 0.356896i
\(655\) 31.3435 + 22.7724i 1.22469 + 0.889790i
\(656\) 1.42705 + 1.03681i 0.0557170 + 0.0404808i
\(657\) −1.00000 3.07768i −0.0390137 0.120072i
\(658\) −14.6353 45.0427i −0.570542 1.75595i
\(659\) −19.5902 + 14.2331i −0.763125 + 0.554443i −0.899867 0.436164i \(-0.856337\pi\)
0.136742 + 0.990607i \(0.456337\pi\)
\(660\) −17.0729 14.2658i −0.664564 0.555297i
\(661\) −12.9443 9.40456i −0.503474 0.365795i 0.306868 0.951752i \(-0.400719\pi\)
−0.810342 + 0.585957i \(0.800719\pi\)
\(662\) −4.87539 + 15.0049i −0.189487 + 0.583182i
\(663\) 30.2705 + 21.9928i 1.17561 + 0.854130i
\(664\) −15.4894 + 11.2537i −0.601104 + 0.436727i
\(665\) −31.3435 22.7724i −1.21545 0.883074i
\(666\) −2.56231 −0.0992873
\(667\) −31.3885 22.8051i −1.21537 0.883017i
\(668\) 23.4787 + 72.2601i 0.908419 + 2.79583i
\(669\) 1.11803 + 3.44095i 0.0432257 + 0.133035i
\(670\) −23.6803 17.2048i −0.914851 0.664678i
\(671\) 13.5557 + 11.3269i 0.523313 + 0.437271i
\(672\) 5.42705 + 16.7027i 0.209353 + 0.644322i
\(673\) −25.0902 −0.967155 −0.483577 0.875302i \(-0.660663\pi\)
−0.483577 + 0.875302i \(0.660663\pi\)
\(674\) −8.37790 25.7845i −0.322705 0.993183i
\(675\) 1.54508 4.75528i 0.0594703 0.183031i
\(676\) −55.8222 40.5572i −2.14701 1.55989i
\(677\) 1.54508 + 4.75528i 0.0593824 + 0.182760i 0.976348 0.216207i \(-0.0693686\pi\)
−0.916965 + 0.398967i \(0.869369\pi\)
\(678\) 16.7082 0.641675
\(679\) −5.35410 + 3.88998i −0.205472 + 0.149284i
\(680\) −9.63525 29.6543i −0.369495 1.13719i
\(681\) 2.87132 8.83702i 0.110029 0.338635i
\(682\) 42.5238 + 35.5321i 1.62832 + 1.36060i
\(683\) −5.75329 + 17.7068i −0.220143 + 0.677532i 0.778605 + 0.627515i \(0.215928\pi\)
−0.998748 + 0.0500175i \(0.984072\pi\)
\(684\) 6.13525 18.8824i 0.234587 0.721986i
\(685\) 15.0000 46.1653i 0.573121 1.76388i
\(686\) −33.8435 + 24.5887i −1.29215 + 0.938801i
\(687\) 17.0000 0.648590
\(688\) −7.94427 −0.302873
\(689\) −4.85410 + 3.52671i −0.184927 + 0.134357i
\(690\) −8.45492 + 26.0216i −0.321873 + 0.990624i
\(691\) 3.88854 11.9677i 0.147927 0.455273i −0.849449 0.527671i \(-0.823065\pi\)
0.997376 + 0.0723983i \(0.0230653\pi\)
\(692\) 18.7918 57.8352i 0.714357 2.19856i
\(693\) 8.66312 + 0.587785i 0.329085 + 0.0223281i
\(694\) −12.3992 + 38.1608i −0.470667 + 1.44856i
\(695\) 3.55573 + 10.9434i 0.134876 + 0.415107i
\(696\) 12.8262 9.31881i 0.486177 0.353228i
\(697\) 11.0000 0.416655
\(698\) 0.225425 + 0.693786i 0.00853246 + 0.0262602i
\(699\) −19.7082 14.3188i −0.745433 0.541589i
\(700\) −31.7705 + 23.0826i −1.20081 + 0.872441i
\(701\) −5.40983 16.6497i −0.204326 0.628852i −0.999740 0.0227856i \(-0.992746\pi\)
0.795414 0.606067i \(-0.207254\pi\)
\(702\) 13.4164 0.506370
\(703\) 2.34346 + 7.21242i 0.0883852 + 0.272022i
\(704\) 36.5172 22.9236i 1.37629 0.863967i
\(705\) −14.6353 10.6331i −0.551196 0.400467i
\(706\) −10.0623 30.9686i −0.378700 1.16552i
\(707\) −2.66312 8.19624i −0.100157 0.308251i
\(708\) −28.4164 20.6457i −1.06795 0.775914i
\(709\) −18.5279 −0.695829 −0.347914 0.937526i \(-0.613110\pi\)
−0.347914 + 0.937526i \(0.613110\pi\)
\(710\) 30.2254 + 21.9601i 1.13434 + 0.824146i
\(711\) 10.4721 7.60845i 0.392736 0.285339i
\(712\) 6.44427 + 4.68204i 0.241509 + 0.175467i
\(713\) 12.6353 38.8873i 0.473194 1.45634i
\(714\) 29.5344 + 21.4580i 1.10530 + 0.803047i
\(715\) −44.3951 3.01217i −1.66028 0.112649i
\(716\) −21.0000 + 15.2574i −0.784807 + 0.570196i
\(717\) −4.04508 12.4495i −0.151066 0.464935i
\(718\) 7.31308 + 22.5074i 0.272922 + 0.839967i
\(719\) 13.6353 + 9.90659i 0.508509 + 0.369454i 0.812258 0.583299i \(-0.198238\pi\)
−0.303749 + 0.952752i \(0.598238\pi\)
\(720\) 1.80902 + 1.31433i 0.0674181 + 0.0489821i
\(721\) −7.04508 + 21.6825i −0.262373 + 0.807500i
\(722\) −55.4508 −2.06367
\(723\) 5.51722 16.9803i 0.205188 0.631503i
\(724\) 27.6246 20.0705i 1.02666 0.745913i
\(725\) −28.6803 20.8375i −1.06516 0.773885i
\(726\) −4.37132 24.2052i −0.162235 0.898339i
\(727\) 23.6803 + 17.2048i 0.878255 + 0.638090i 0.932789 0.360422i \(-0.117367\pi\)
−0.0545341 + 0.998512i \(0.517367\pi\)
\(728\) −28.4164 20.6457i −1.05318 0.765182i
\(729\) −0.809017 + 0.587785i −0.0299636 + 0.0217698i
\(730\) 5.00000 + 15.3884i 0.185058 + 0.569551i
\(731\) −40.0795 + 29.1195i −1.48239 + 1.07702i
\(732\) 12.9271 + 9.39205i 0.477798 + 0.347140i
\(733\) 10.8713 + 7.89848i 0.401541 + 0.291737i 0.770169 0.637840i \(-0.220172\pi\)
−0.368627 + 0.929577i \(0.620172\pi\)
\(734\) −19.4336 14.1194i −0.717308 0.521155i
\(735\) −0.100813 + 0.310271i −0.00371855 + 0.0114445i
\(736\) −29.6976 21.5765i −1.09467 0.795322i
\(737\) −4.73607 18.8294i −0.174455 0.693589i
\(738\) 3.19098 2.31838i 0.117462 0.0853409i
\(739\) 27.6525 1.01721 0.508606 0.860999i \(-0.330161\pi\)
0.508606 + 0.860999i \(0.330161\pi\)
\(740\) 7.68692 0.282577
\(741\) −12.2705 37.7647i −0.450768 1.38732i
\(742\) −4.73607 + 3.44095i −0.173867 + 0.126321i
\(743\) −26.4894 19.2456i −0.971800 0.706054i −0.0159391 0.999873i \(-0.505074\pi\)
−0.955861 + 0.293819i \(0.905074\pi\)
\(744\) 13.5172 + 9.82084i 0.495565 + 0.360049i
\(745\) 1.21885 0.885544i 0.0446551 0.0324438i
\(746\) −7.17376 5.21204i −0.262650 0.190826i
\(747\) −2.64590 8.14324i −0.0968083 0.297945i
\(748\) 23.1246 57.5779i 0.845520 2.10526i
\(749\) 32.5066 1.18776
\(750\) −7.72542 + 23.7764i −0.282093 + 0.868192i
\(751\) −6.78115 20.8702i −0.247448 0.761566i −0.995224 0.0976154i \(-0.968879\pi\)
0.747776 0.663951i \(-0.231121\pi\)
\(752\) 6.54508 4.75528i 0.238675 0.173407i
\(753\) −0.0106431 + 0.0327561i −0.000387857 + 0.00119370i
\(754\) 29.3951 90.4689i 1.07051 3.29468i
\(755\) 3.61803 0.131674
\(756\) 7.85410 0.285651
\(757\) −36.4894 + 26.5111i −1.32623 + 0.963561i −0.326396 + 0.945233i \(0.605834\pi\)
−0.999832 + 0.0183282i \(0.994166\pi\)
\(758\) −18.5557 + 57.1087i −0.673974 + 2.07428i
\(759\) −15.3713 + 9.64932i −0.557944 + 0.350248i
\(760\) −10.2254 + 31.4706i −0.370915 + 1.14156i
\(761\) 31.3820 1.13760 0.568798 0.822477i \(-0.307409\pi\)
0.568798 + 0.822477i \(0.307409\pi\)
\(762\) 12.9271 + 9.39205i 0.468298 + 0.340238i
\(763\) 3.47214 + 10.6861i 0.125700 + 0.386864i
\(764\) 13.3328 + 41.0342i 0.482364 + 1.48456i
\(765\) 13.9443 0.504156
\(766\) 13.8673 + 42.6790i 0.501044 + 1.54206i
\(767\) −70.2492 −2.53655
\(768\) 7.28115 5.29007i 0.262736 0.190889i
\(769\) −4.81966 + 14.8334i −0.173801 + 0.534906i −0.999577 0.0290936i \(-0.990738\pi\)
0.825775 + 0.563999i \(0.190738\pi\)
\(770\) −43.3156 2.93893i −1.56099 0.105912i
\(771\) 5.01722 + 15.4414i 0.180691 + 0.556109i
\(772\) 8.20820 + 5.96361i 0.295420 + 0.214635i