Properties

Label 392.2.z.a.109.11
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.11
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19093 + 0.762688i) q^{2} +(-0.209889 - 1.39252i) q^{3} +(0.836613 - 1.81661i) q^{4} +(1.73139 + 0.679519i) q^{5} +(1.31202 + 1.49831i) q^{6} +(-0.592319 - 2.57860i) q^{7} +(0.389164 + 2.80153i) q^{8} +(0.971651 - 0.299715i) q^{9} +O(q^{10})\) \(q+(-1.19093 + 0.762688i) q^{2} +(-0.209889 - 1.39252i) q^{3} +(0.836613 - 1.81661i) q^{4} +(1.73139 + 0.679519i) q^{5} +(1.31202 + 1.49831i) q^{6} +(-0.592319 - 2.57860i) q^{7} +(0.389164 + 2.80153i) q^{8} +(0.971651 - 0.299715i) q^{9} +(-2.58022 + 0.511251i) q^{10} +(-0.224646 + 0.728285i) q^{11} +(-2.70527 - 0.783716i) q^{12} +(1.74405 - 0.398067i) q^{13} +(2.67207 + 2.61916i) q^{14} +(0.582847 - 2.55362i) q^{15} +(-2.60016 - 3.03960i) q^{16} +(4.21955 - 2.87684i) q^{17} +(-0.928576 + 1.09800i) q^{18} +(-7.23191 + 4.17535i) q^{19} +(2.68292 - 2.57676i) q^{20} +(-3.46643 + 1.36604i) q^{21} +(-0.287917 - 1.03867i) q^{22} +(-0.115232 - 0.0785636i) q^{23} +(3.81951 - 1.12993i) q^{24} +(-1.12931 - 1.04784i) q^{25} +(-1.77343 + 1.80423i) q^{26} +(-2.45435 - 5.09651i) q^{27} +(-5.17985 - 1.08127i) q^{28} +(2.76656 - 5.74483i) q^{29} +(1.25349 + 3.48571i) q^{30} +(3.93613 - 6.81758i) q^{31} +(5.41487 + 1.63683i) q^{32} +(1.06130 + 0.159966i) q^{33} +(-2.83104 + 6.64431i) q^{34} +(0.726673 - 4.86704i) q^{35} +(0.268430 - 2.01586i) q^{36} +(4.03411 - 0.302315i) q^{37} +(5.42819 - 10.4882i) q^{38} +(-0.920374 - 2.34508i) q^{39} +(-1.22990 + 5.11497i) q^{40} +(2.31407 + 2.90175i) q^{41} +(3.08641 - 4.27066i) q^{42} +(6.71348 + 5.35382i) q^{43} +(1.13507 + 1.01739i) q^{44} +(1.88597 + 0.141334i) q^{45} +(0.197152 + 0.00567765i) q^{46} +(4.15655 - 3.85672i) q^{47} +(-3.68697 + 4.25876i) q^{48} +(-6.29832 + 3.05470i) q^{49} +(2.14410 + 0.386595i) q^{50} +(-4.89171 - 5.27201i) q^{51} +(0.735958 - 3.50128i) q^{52} +(-7.02866 - 0.526726i) q^{53} +(6.81001 + 4.19767i) q^{54} +(-0.883833 + 1.10829i) q^{55} +(6.99350 - 2.66290i) q^{56} +(7.33217 + 9.19425i) q^{57} +(1.08674 + 8.95170i) q^{58} +(-7.74518 + 3.03976i) q^{59} +(-4.15132 - 3.19520i) q^{60} +(-7.47238 + 0.559977i) q^{61} +(0.512045 + 11.1213i) q^{62} +(-1.34837 - 2.32797i) q^{63} +(-7.69710 + 2.18051i) q^{64} +(3.29011 + 0.495905i) q^{65} +(-1.38594 + 0.618937i) q^{66} +(6.85847 + 3.95974i) q^{67} +(-1.69598 - 10.0721i) q^{68} +(-0.0852158 + 0.176952i) q^{69} +(2.84662 + 6.35051i) q^{70} +(2.31572 - 1.11519i) q^{71} +(1.21779 + 2.60547i) q^{72} +(0.0710248 + 0.0659013i) q^{73} +(-4.57376 + 3.43681i) q^{74} +(-1.22212 + 1.79251i) q^{75} +(1.53467 + 16.6307i) q^{76} +(2.01101 + 0.147895i) q^{77} +(2.88466 + 2.09085i) q^{78} +(-2.79738 - 4.84520i) q^{79} +(-2.43641 - 7.02958i) q^{80} +(-4.06145 + 2.76905i) q^{81} +(-4.96902 - 1.69086i) q^{82} +(9.51251 + 2.17117i) q^{83} +(-0.418504 + 7.44001i) q^{84} +(9.26055 - 2.11366i) q^{85} +(-12.0786 - 1.25572i) q^{86} +(-8.58048 - 2.64673i) q^{87} +(-2.12773 - 0.345929i) q^{88} +(-0.741049 + 0.228583i) q^{89} +(-2.35384 + 1.27009i) q^{90} +(-2.05949 - 4.26141i) q^{91} +(-0.239124 + 0.143604i) q^{92} +(-10.3198 - 4.05022i) q^{93} +(-2.00867 + 7.76322i) q^{94} +(-15.3585 + 2.31492i) q^{95} +(1.14281 - 7.88388i) q^{96} -12.3959 q^{97} +(5.17105 - 8.44158i) q^{98} +0.774968i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) \) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19093 + 0.762688i −0.842112 + 0.539302i
\(3\) −0.209889 1.39252i −0.121180 0.803974i −0.964024 0.265816i \(-0.914359\pi\)
0.842844 0.538158i \(-0.180879\pi\)
\(4\) 0.836613 1.81661i 0.418306 0.908306i
\(5\) 1.73139 + 0.679519i 0.774300 + 0.303890i 0.719395 0.694601i \(-0.244419\pi\)
0.0549049 + 0.998492i \(0.482514\pi\)
\(6\) 1.31202 + 1.49831i 0.535632 + 0.611684i
\(7\) −0.592319 2.57860i −0.223875 0.974618i
\(8\) 0.389164 + 2.80153i 0.137590 + 0.990489i
\(9\) 0.971651 0.299715i 0.323884 0.0999049i
\(10\) −2.58022 + 0.511251i −0.815936 + 0.161672i
\(11\) −0.224646 + 0.728285i −0.0677333 + 0.219586i −0.983111 0.183010i \(-0.941416\pi\)
0.915378 + 0.402596i \(0.131892\pi\)
\(12\) −2.70527 0.783716i −0.780944 0.226239i
\(13\) 1.74405 0.398067i 0.483712 0.110404i 0.0262907 0.999654i \(-0.491630\pi\)
0.457421 + 0.889250i \(0.348773\pi\)
\(14\) 2.67207 + 2.61916i 0.714142 + 0.700001i
\(15\) 0.582847 2.55362i 0.150490 0.659342i
\(16\) −2.60016 3.03960i −0.650040 0.759900i
\(17\) 4.21955 2.87684i 1.02339 0.697737i 0.0694063 0.997588i \(-0.477890\pi\)
0.953986 + 0.299851i \(0.0969371\pi\)
\(18\) −0.928576 + 1.09800i −0.218867 + 0.258802i
\(19\) −7.23191 + 4.17535i −1.65911 + 0.957890i −0.685990 + 0.727611i \(0.740630\pi\)
−0.973125 + 0.230279i \(0.926036\pi\)
\(20\) 2.68292 2.57676i 0.599920 0.576182i
\(21\) −3.46643 + 1.36604i −0.756438 + 0.298094i
\(22\) −0.287917 1.03867i −0.0613842 0.221445i
\(23\) −0.115232 0.0785636i −0.0240275 0.0163816i 0.551247 0.834342i \(-0.314152\pi\)
−0.575274 + 0.817961i \(0.695105\pi\)
\(24\) 3.81951 1.12993i 0.779654 0.230646i
\(25\) −1.12931 1.04784i −0.225861 0.209568i
\(26\) −1.77343 + 1.80423i −0.347798 + 0.353839i
\(27\) −2.45435 5.09651i −0.472340 0.980825i
\(28\) −5.17985 1.08127i −0.978900 0.204341i
\(29\) 2.76656 5.74483i 0.513738 1.06679i −0.469241 0.883070i \(-0.655472\pi\)
0.982979 0.183718i \(-0.0588133\pi\)
\(30\) 1.25349 + 3.48571i 0.228855 + 0.636400i
\(31\) 3.93613 6.81758i 0.706951 1.22447i −0.259032 0.965869i \(-0.583404\pi\)
0.965983 0.258606i \(-0.0832630\pi\)
\(32\) 5.41487 + 1.63683i 0.957222 + 0.289354i
\(33\) 1.06130 + 0.159966i 0.184749 + 0.0278465i
\(34\) −2.83104 + 6.64431i −0.485520 + 1.13949i
\(35\) 0.726673 4.86704i 0.122830 0.822680i
\(36\) 0.268430 2.01586i 0.0447384 0.335976i
\(37\) 4.03411 0.302315i 0.663204 0.0497003i 0.261125 0.965305i \(-0.415907\pi\)
0.402080 + 0.915605i \(0.368288\pi\)
\(38\) 5.42819 10.4882i 0.880568 1.70142i
\(39\) −0.920374 2.34508i −0.147378 0.375513i
\(40\) −1.22990 + 5.11497i −0.194464 + 0.808748i
\(41\) 2.31407 + 2.90175i 0.361397 + 0.453177i 0.928975 0.370142i \(-0.120691\pi\)
−0.567578 + 0.823319i \(0.692120\pi\)
\(42\) 3.08641 4.27066i 0.476243 0.658977i
\(43\) 6.71348 + 5.35382i 1.02380 + 0.816450i 0.983164 0.182724i \(-0.0584914\pi\)
0.0406320 + 0.999174i \(0.487063\pi\)
\(44\) 1.13507 + 1.01739i 0.171118 + 0.153377i
\(45\) 1.88597 + 0.141334i 0.281143 + 0.0210688i
\(46\) 0.197152 + 0.00567765i 0.0290685 + 0.000837124i
\(47\) 4.15655 3.85672i 0.606295 0.562560i −0.316140 0.948713i \(-0.602387\pi\)
0.922435 + 0.386153i \(0.126196\pi\)
\(48\) −3.68697 + 4.25876i −0.532168 + 0.614699i
\(49\) −6.29832 + 3.05470i −0.899760 + 0.436386i
\(50\) 2.14410 + 0.386595i 0.303221 + 0.0546728i
\(51\) −4.89171 5.27201i −0.684976 0.738229i
\(52\) 0.735958 3.50128i 0.102059 0.485541i
\(53\) −7.02866 0.526726i −0.965461 0.0723513i −0.417340 0.908750i \(-0.637038\pi\)
−0.548121 + 0.836399i \(0.684657\pi\)
\(54\) 6.81001 + 4.19767i 0.926724 + 0.571230i
\(55\) −0.883833 + 1.10829i −0.119176 + 0.149442i
\(56\) 6.99350 2.66290i 0.934545 0.355844i
\(57\) 7.33217 + 9.19425i 0.971169 + 1.21781i
\(58\) 1.08674 + 8.95170i 0.142696 + 1.17542i
\(59\) −7.74518 + 3.03976i −1.00834 + 0.395743i −0.811286 0.584650i \(-0.801232\pi\)
−0.197052 + 0.980393i \(0.563137\pi\)
\(60\) −4.15132 3.19520i −0.535933 0.412498i
\(61\) −7.47238 + 0.559977i −0.956740 + 0.0716978i −0.543940 0.839124i \(-0.683068\pi\)
−0.412800 + 0.910822i \(0.635449\pi\)
\(62\) 0.512045 + 11.1213i 0.0650298 + 1.41240i
\(63\) −1.34837 2.32797i −0.169879 0.293296i
\(64\) −7.69710 + 2.18051i −0.962138 + 0.272564i
\(65\) 3.29011 + 0.495905i 0.408088 + 0.0615094i
\(66\) −1.38594 + 0.618937i −0.170597 + 0.0761858i
\(67\) 6.85847 + 3.95974i 0.837895 + 0.483759i 0.856548 0.516067i \(-0.172604\pi\)
−0.0186529 + 0.999826i \(0.505938\pi\)
\(68\) −1.69598 10.0721i −0.205667 1.22142i
\(69\) −0.0852158 + 0.176952i −0.0102588 + 0.0213026i
\(70\) 2.84662 + 6.35051i 0.340236 + 0.759031i
\(71\) 2.31572 1.11519i 0.274825 0.132349i −0.291395 0.956603i \(-0.594119\pi\)
0.566220 + 0.824254i \(0.308405\pi\)
\(72\) 1.21779 + 2.60547i 0.143518 + 0.307057i
\(73\) 0.0710248 + 0.0659013i 0.00831282 + 0.00771317i 0.684318 0.729184i \(-0.260100\pi\)
−0.676005 + 0.736897i \(0.736290\pi\)
\(74\) −4.57376 + 3.43681i −0.531689 + 0.399521i
\(75\) −1.22212 + 1.79251i −0.141118 + 0.206982i
\(76\) 1.53467 + 16.6307i 0.176039 + 1.90768i
\(77\) 2.01101 + 0.147895i 0.229176 + 0.0168542i
\(78\) 2.88466 + 2.09085i 0.326623 + 0.236743i
\(79\) −2.79738 4.84520i −0.314729 0.545127i 0.664651 0.747154i \(-0.268580\pi\)
−0.979380 + 0.202027i \(0.935247\pi\)
\(80\) −2.43641 7.02958i −0.272399 0.785931i
\(81\) −4.06145 + 2.76905i −0.451272 + 0.307672i
\(82\) −4.96902 1.69086i −0.548736 0.186724i
\(83\) 9.51251 + 2.17117i 1.04413 + 0.238317i 0.709994 0.704207i \(-0.248697\pi\)
0.334139 + 0.942524i \(0.391555\pi\)
\(84\) −0.418504 + 7.44001i −0.0456625 + 0.811772i
\(85\) 9.26055 2.11366i 1.00445 0.229259i
\(86\) −12.0786 1.25572i −1.30246 0.135407i
\(87\) −8.58048 2.64673i −0.919924 0.283759i
\(88\) −2.12773 0.345929i −0.226817 0.0368762i
\(89\) −0.741049 + 0.228583i −0.0785510 + 0.0242298i −0.333782 0.942650i \(-0.608325\pi\)
0.255231 + 0.966880i \(0.417849\pi\)
\(90\) −2.35384 + 1.27009i −0.248116 + 0.133879i
\(91\) −2.05949 4.26141i −0.215893 0.446717i
\(92\) −0.239124 + 0.143604i −0.0249304 + 0.0149717i
\(93\) −10.3198 4.05022i −1.07011 0.419988i
\(94\) −2.00867 + 7.76322i −0.207179 + 0.800715i
\(95\) −15.3585 + 2.31492i −1.57575 + 0.237505i
\(96\) 1.14281 7.88388i 0.116637 0.804645i
\(97\) −12.3959 −1.25862 −0.629308 0.777156i \(-0.716662\pi\)
−0.629308 + 0.777156i \(0.716662\pi\)
\(98\) 5.17105 8.44158i 0.522355 0.852728i
\(99\) 0.774968i 0.0778872i
\(100\) −2.84831 + 1.17487i −0.284831 + 0.117487i
\(101\) 0.149844 + 0.994147i 0.0149100 + 0.0989214i 0.995048 0.0993950i \(-0.0316907\pi\)
−0.980138 + 0.198316i \(0.936453\pi\)
\(102\) 9.84657 + 2.54773i 0.974956 + 0.252262i
\(103\) −1.59764 + 4.07071i −0.157420 + 0.401099i −0.987724 0.156212i \(-0.950072\pi\)
0.830304 + 0.557311i \(0.188167\pi\)
\(104\) 1.79392 + 4.73108i 0.175908 + 0.463921i
\(105\) −6.92999 + 0.00962995i −0.676297 + 0.000939787i
\(106\) 8.77235 4.73339i 0.852046 0.459747i
\(107\) 4.98847 + 16.1722i 0.482253 + 1.56343i 0.790711 + 0.612189i \(0.209711\pi\)
−0.308458 + 0.951238i \(0.599813\pi\)
\(108\) −11.3117 + 0.194796i −1.08847 + 0.0187443i
\(109\) −4.46093 + 14.4620i −0.427280 + 1.38521i 0.444706 + 0.895676i \(0.353308\pi\)
−0.871986 + 0.489531i \(0.837168\pi\)
\(110\) 0.207299 1.99398i 0.0197652 0.190119i
\(111\) −1.26770 5.55415i −0.120325 0.527176i
\(112\) −6.29778 + 8.50517i −0.595084 + 0.803663i
\(113\) −3.21616 + 14.0909i −0.302551 + 1.32556i 0.563712 + 0.825971i \(0.309373\pi\)
−0.866263 + 0.499589i \(0.833484\pi\)
\(114\) −15.7444 5.35751i −1.47460 0.501777i
\(115\) −0.146125 0.214326i −0.0136262 0.0199860i
\(116\) −8.12158 9.83197i −0.754070 0.912876i
\(117\) 1.57530 0.909499i 0.145636 0.0840832i
\(118\) 6.90556 9.52730i 0.635708 0.877059i
\(119\) −9.91754 9.17652i −0.909139 0.841210i
\(120\) 7.38086 + 0.639083i 0.673777 + 0.0583401i
\(121\) 8.60869 + 5.86931i 0.782609 + 0.533573i
\(122\) 8.47197 6.36599i 0.767016 0.576350i
\(123\) 3.55506 3.83144i 0.320549 0.345469i
\(124\) −9.09189 12.8541i −0.816475 1.15433i
\(125\) −5.27826 10.9604i −0.472102 0.980331i
\(126\) 3.38132 + 1.74405i 0.301232 + 0.155373i
\(127\) 7.99416 + 3.84978i 0.709367 + 0.341613i 0.753532 0.657411i \(-0.228349\pi\)
−0.0441652 + 0.999024i \(0.514063\pi\)
\(128\) 7.50364 8.46732i 0.663234 0.748412i
\(129\) 6.04624 10.4724i 0.532341 0.922042i
\(130\) −4.29651 + 1.91875i −0.376828 + 0.168285i
\(131\) 1.97653 13.1134i 0.172690 1.14572i −0.719643 0.694344i \(-0.755694\pi\)
0.892333 0.451378i \(-0.149067\pi\)
\(132\) 1.17850 1.79415i 0.102575 0.156161i
\(133\) 15.0501 + 16.1750i 1.30501 + 1.40255i
\(134\) −11.1880 + 0.515116i −0.966494 + 0.0444993i
\(135\) −0.786253 10.4918i −0.0676699 0.902992i
\(136\) 9.70165 + 10.7016i 0.831910 + 0.917657i
\(137\) 6.98926 + 17.8083i 0.597133 + 1.52147i 0.835044 + 0.550183i \(0.185442\pi\)
−0.237911 + 0.971287i \(0.576463\pi\)
\(138\) −0.0334738 0.275730i −0.00284948 0.0234717i
\(139\) −8.66321 + 6.90868i −0.734804 + 0.585986i −0.917760 0.397135i \(-0.870005\pi\)
0.182957 + 0.983121i \(0.441433\pi\)
\(140\) −8.23358 5.39191i −0.695864 0.455700i
\(141\) −6.24298 4.97861i −0.525754 0.419275i
\(142\) −1.90731 + 3.09428i −0.160058 + 0.259666i
\(143\) −0.101887 + 1.35959i −0.00852021 + 0.113694i
\(144\) −3.43746 2.17413i −0.286455 0.181177i
\(145\) 8.69372 8.06659i 0.721974 0.669894i
\(146\) −0.134847 0.0243139i −0.0111601 0.00201223i
\(147\) 5.57569 + 8.12940i 0.459875 + 0.670502i
\(148\) 2.82580 7.58134i 0.232280 0.623182i
\(149\) 11.0409 + 11.8993i 0.904508 + 0.974828i 0.999787 0.0206227i \(-0.00656487\pi\)
−0.0952792 + 0.995451i \(0.530374\pi\)
\(150\) 0.0883202 3.06685i 0.00721131 0.250407i
\(151\) −1.40221 + 18.7112i −0.114110 + 1.52269i 0.586968 + 0.809610i \(0.300321\pi\)
−0.701078 + 0.713085i \(0.747298\pi\)
\(152\) −14.5117 18.6355i −1.17706 1.51154i
\(153\) 3.23770 4.05995i 0.261753 0.328227i
\(154\) −2.50777 + 1.35765i −0.202082 + 0.109402i
\(155\) 11.4477 9.12920i 0.919497 0.733275i
\(156\) −5.03009 0.289957i −0.402729 0.0232151i
\(157\) 0.121724 0.0477732i 0.00971463 0.00381271i −0.360479 0.932767i \(-0.617387\pi\)
0.370193 + 0.928955i \(0.379291\pi\)
\(158\) 7.02684 + 3.63675i 0.559026 + 0.289324i
\(159\) 0.741763 + 9.89813i 0.0588256 + 0.784973i
\(160\) 8.26297 + 6.51350i 0.653245 + 0.514937i
\(161\) −0.134330 + 0.343671i −0.0105867 + 0.0270850i
\(162\) 2.72497 6.39536i 0.214094 0.502467i
\(163\) 2.73005 18.1127i 0.213834 1.41869i −0.582005 0.813185i \(-0.697731\pi\)
0.795838 0.605509i \(-0.207030\pi\)
\(164\) 7.20733 1.77612i 0.562798 0.138692i
\(165\) 1.72883 + 0.998139i 0.134589 + 0.0777050i
\(166\) −12.9846 + 4.66938i −1.00780 + 0.362414i
\(167\) 20.5598 + 9.90107i 1.59096 + 0.766168i 0.999202 0.0399448i \(-0.0127182\pi\)
0.591762 + 0.806113i \(0.298432\pi\)
\(168\) −5.17600 9.17969i −0.399337 0.708229i
\(169\) −8.82935 + 4.25199i −0.679181 + 0.327076i
\(170\) −9.41657 + 9.58013i −0.722218 + 0.734762i
\(171\) −5.77548 + 6.22449i −0.441662 + 0.475998i
\(172\) 15.3424 7.71671i 1.16985 0.588394i
\(173\) 9.59645 14.0754i 0.729604 1.07013i −0.264780 0.964309i \(-0.585299\pi\)
0.994385 0.105824i \(-0.0337482\pi\)
\(174\) 12.2374 3.39217i 0.927711 0.257160i
\(175\) −2.03305 + 3.53268i −0.153684 + 0.267045i
\(176\) 2.79781 1.21082i 0.210893 0.0912691i
\(177\) 5.85857 + 10.1473i 0.440357 + 0.762721i
\(178\) 0.708197 0.837415i 0.0530816 0.0627669i
\(179\) 5.18554 + 7.60580i 0.387586 + 0.568484i 0.969600 0.244695i \(-0.0786877\pi\)
−0.582014 + 0.813178i \(0.697735\pi\)
\(180\) 1.83457 3.30783i 0.136741 0.246551i
\(181\) 3.01225 + 0.687527i 0.223899 + 0.0511035i 0.332999 0.942927i \(-0.391940\pi\)
−0.109099 + 0.994031i \(0.534797\pi\)
\(182\) 5.70283 + 3.50428i 0.422722 + 0.259754i
\(183\) 2.34815 + 10.2879i 0.173580 + 0.760506i
\(184\) 0.175254 0.353399i 0.0129199 0.0260529i
\(185\) 7.19004 + 2.21783i 0.528622 + 0.163058i
\(186\) 15.3792 3.04727i 1.12766 0.223437i
\(187\) 1.14725 + 3.71931i 0.0838956 + 0.271983i
\(188\) −3.52873 10.7774i −0.257359 0.786024i
\(189\) −11.6881 + 9.34754i −0.850184 + 0.679934i
\(190\) 16.5252 14.4706i 1.19887 1.04981i
\(191\) 4.49771 11.4600i 0.325443 0.829215i −0.670721 0.741710i \(-0.734015\pi\)
0.996164 0.0875053i \(-0.0278895\pi\)
\(192\) 4.65195 + 10.2607i 0.335725 + 0.740504i
\(193\) −10.5584 + 1.59142i −0.760010 + 0.114553i −0.517602 0.855621i \(-0.673175\pi\)
−0.242408 + 0.970174i \(0.577937\pi\)
\(194\) 14.7626 9.45424i 1.05990 0.678775i
\(195\) 4.68565i 0.335546i
\(196\) 0.279957 + 13.9972i 0.0199969 + 0.999800i
\(197\) 8.00498i 0.570331i −0.958478 0.285166i \(-0.907951\pi\)
0.958478 0.285166i \(-0.0920486\pi\)
\(198\) −0.591059 0.922930i −0.0420047 0.0655898i
\(199\) −4.49928 + 0.678158i −0.318946 + 0.0480733i −0.306564 0.951850i \(-0.599179\pi\)
−0.0123815 + 0.999923i \(0.503941\pi\)
\(200\) 2.49607 3.57156i 0.176499 0.252548i
\(201\) 4.07451 10.3817i 0.287394 0.732267i
\(202\) −0.936677 1.06967i −0.0659044 0.0752619i
\(203\) −16.4523 3.73108i −1.15472 0.261871i
\(204\) −13.6697 + 4.47571i −0.957068 + 0.313362i
\(205\) 2.03475 + 6.59651i 0.142113 + 0.460720i
\(206\) −1.20202 6.06641i −0.0837484 0.422667i
\(207\) −0.135512 0.0417998i −0.00941871 0.00290529i
\(208\) −5.74476 4.26617i −0.398328 0.295806i
\(209\) −1.41622 6.20487i −0.0979620 0.429200i
\(210\) 8.24576 5.29689i 0.569012 0.365520i
\(211\) −9.75717 2.22701i −0.671711 0.153314i −0.126955 0.991908i \(-0.540520\pi\)
−0.544756 + 0.838595i \(0.683378\pi\)
\(212\) −6.83713 + 12.3277i −0.469576 + 0.846669i
\(213\) −2.03897 2.99063i −0.139708 0.204914i
\(214\) −18.2753 15.4553i −1.24927 1.05650i
\(215\) 7.98561 + 13.8315i 0.544614 + 0.943299i
\(216\) 13.3229 8.85931i 0.906507 0.602800i
\(217\) −19.9112 6.11152i −1.35166 0.414877i
\(218\) −5.71735 20.6255i −0.387228 1.39693i
\(219\) 0.0768618 0.112736i 0.00519384 0.00761797i
\(220\) 1.27391 + 2.53279i 0.0858869 + 0.170761i
\(221\) 6.21392 6.69702i 0.417994 0.450490i
\(222\) 5.74582 + 5.64772i 0.385634 + 0.379050i
\(223\) 14.1199 6.79979i 0.945538 0.455347i 0.103419 0.994638i \(-0.467022\pi\)
0.842120 + 0.539291i \(0.181308\pi\)
\(224\) 1.01340 14.9323i 0.0677107 0.997705i
\(225\) −1.41134 0.679668i −0.0940896 0.0453112i
\(226\) −6.91676 19.2342i −0.460096 1.27944i
\(227\) −6.49559 3.75023i −0.431128 0.248912i 0.268699 0.963224i \(-0.413406\pi\)
−0.699827 + 0.714312i \(0.746740\pi\)
\(228\) 22.8366 5.62768i 1.51239 0.372702i
\(229\) 1.93289 12.8239i 0.127729 0.847429i −0.829585 0.558380i \(-0.811423\pi\)
0.957314 0.289048i \(-0.0933388\pi\)
\(230\) 0.337488 + 0.143799i 0.0222533 + 0.00948181i
\(231\) −0.216143 2.83143i −0.0142212 0.186294i
\(232\) 17.1709 + 5.51492i 1.12733 + 0.362072i
\(233\) −0.411273 5.48806i −0.0269434 0.359535i −0.994338 0.106262i \(-0.966112\pi\)
0.967395 0.253273i \(-0.0815072\pi\)
\(234\) −1.18240 + 2.28461i −0.0772959 + 0.149349i
\(235\) 9.81731 3.85301i 0.640411 0.251343i
\(236\) −0.957654 + 16.6131i −0.0623380 + 1.08142i
\(237\) −6.15991 + 4.91236i −0.400129 + 0.319092i
\(238\) 18.8099 + 3.36457i 1.21926 + 0.218093i
\(239\) 5.70270 7.15096i 0.368877 0.462557i −0.562402 0.826864i \(-0.690123\pi\)
0.931279 + 0.364307i \(0.118694\pi\)
\(240\) −9.27748 + 4.86819i −0.598859 + 0.314241i
\(241\) 0.530096 7.07364i 0.0341465 0.455653i −0.953757 0.300580i \(-0.902820\pi\)
0.987903 0.155073i \(-0.0495612\pi\)
\(242\) −14.7288 0.424165i −0.946802 0.0272663i
\(243\) −6.83419 7.36550i −0.438413 0.472497i
\(244\) −5.23423 + 14.0429i −0.335087 + 0.899005i
\(245\) −12.9806 + 1.00904i −0.829297 + 0.0644654i
\(246\) −1.31162 + 7.27437i −0.0836257 + 0.463797i
\(247\) −10.9507 + 10.1608i −0.696778 + 0.646515i
\(248\) 20.6314 + 8.37402i 1.31010 + 0.531751i
\(249\) 1.02683 13.7021i 0.0650727 0.868335i
\(250\) 14.6454 + 9.02740i 0.926258 + 0.570943i
\(251\) 6.39440 + 5.09936i 0.403611 + 0.321869i 0.804167 0.594403i \(-0.202612\pi\)
−0.400556 + 0.916272i \(0.631183\pi\)
\(252\) −5.35708 + 0.501857i −0.337464 + 0.0316140i
\(253\) 0.0831030 0.0662725i 0.00522464 0.00416651i
\(254\) −12.4566 + 1.51224i −0.781599 + 0.0948865i
\(255\) −4.88701 12.4519i −0.306036 0.779768i
\(256\) −2.47835 + 15.8069i −0.154897 + 0.987931i
\(257\) 0.745048 + 9.94198i 0.0464748 + 0.620163i 0.971006 + 0.239056i \(0.0768381\pi\)
−0.924531 + 0.381107i \(0.875543\pi\)
\(258\) 0.786545 + 17.0832i 0.0489682 + 1.06356i
\(259\) −3.16903 10.2233i −0.196914 0.635244i
\(260\) 3.65342 5.56198i 0.226575 0.344939i
\(261\) 0.966325 6.41115i 0.0598140 0.396840i
\(262\) 7.64754 + 17.1246i 0.472466 + 1.05796i
\(263\) −15.2262 + 26.3726i −0.938888 + 1.62620i −0.171339 + 0.985212i \(0.554809\pi\)
−0.767549 + 0.640990i \(0.778524\pi\)
\(264\) −0.0351267 + 3.03552i −0.00216190 + 0.186824i
\(265\) −11.8114 5.68808i −0.725570 0.349416i
\(266\) −30.2601 7.78473i −1.85537 0.477313i
\(267\) 0.473846 + 0.983951i 0.0289989 + 0.0602168i
\(268\) 12.9312 9.14641i 0.789898 0.558706i
\(269\) 0.774505 0.834718i 0.0472224 0.0508937i −0.708999 0.705210i \(-0.750853\pi\)
0.756221 + 0.654316i \(0.227043\pi\)
\(270\) 8.93836 + 11.8953i 0.543971 + 0.723926i
\(271\) 15.2999 + 10.4313i 0.929400 + 0.633654i 0.930479 0.366345i \(-0.119391\pi\)
−0.00107918 + 0.999999i \(0.500344\pi\)
\(272\) −19.7160 5.34552i −1.19546 0.324119i
\(273\) −5.50185 + 3.76231i −0.332987 + 0.227705i
\(274\) −21.9059 15.8778i −1.32338 0.959213i
\(275\) 1.01682 0.587062i 0.0613166 0.0354012i
\(276\) 0.250161 + 0.302845i 0.0150579 + 0.0182291i
\(277\) −10.4357 15.3063i −0.627018 0.919666i 0.372949 0.927852i \(-0.378347\pi\)
−0.999966 + 0.00818574i \(0.997394\pi\)
\(278\) 5.04808 14.8351i 0.302764 0.889748i
\(279\) 1.78122 7.80403i 0.106639 0.467215i
\(280\) 13.9179 + 0.141714i 0.831756 + 0.00846903i
\(281\) 5.53059 + 24.2311i 0.329927 + 1.44551i 0.819267 + 0.573413i \(0.194381\pi\)
−0.489339 + 0.872094i \(0.662762\pi\)
\(282\) 11.2321 + 1.16771i 0.668860 + 0.0695362i
\(283\) −1.40146 + 4.54341i −0.0833079 + 0.270078i −0.987637 0.156758i \(-0.949896\pi\)
0.904329 + 0.426836i \(0.140372\pi\)
\(284\) −0.0885102 5.13975i −0.00525211 0.304988i
\(285\) 6.44715 + 20.9011i 0.381896 + 1.23808i
\(286\) −0.915601 1.69688i −0.0541406 0.100338i
\(287\) 6.11178 7.68581i 0.360767 0.453679i
\(288\) 5.75194 0.0324854i 0.338936 0.00191422i
\(289\) 3.31761 8.45314i 0.195154 0.497243i
\(290\) −4.20128 + 16.2373i −0.246708 + 0.953488i
\(291\) 2.60177 + 17.2616i 0.152519 + 1.01189i
\(292\) 0.179137 0.0738905i 0.0104832 0.00432412i
\(293\) 13.2778i 0.775698i 0.921723 + 0.387849i \(0.126782\pi\)
−0.921723 + 0.387849i \(0.873218\pi\)
\(294\) −12.8404 5.42901i −0.748870 0.316626i
\(295\) −15.4755 −0.901018
\(296\) 2.41688 + 11.1840i 0.140478 + 0.650059i
\(297\) 4.26307 0.642555i 0.247369 0.0372848i
\(298\) −22.2244 5.75039i −1.28742 0.333111i
\(299\) −0.232243 0.0911487i −0.0134310 0.00527126i
\(300\) 2.23387 + 3.71975i 0.128972 + 0.214760i
\(301\) 9.82883 20.4825i 0.566524 1.18059i
\(302\) −12.6009 23.3531i −0.725099 1.34382i
\(303\) 1.35292 0.417321i 0.0777234 0.0239745i
\(304\) 31.4955 + 11.1256i 1.80639 + 0.638095i
\(305\) −13.3181 4.10809i −0.762592 0.235228i
\(306\) −0.759389 + 7.30446i −0.0434114 + 0.417568i
\(307\) −6.90277 + 1.57551i −0.393962 + 0.0899193i −0.414913 0.909861i \(-0.636188\pi\)
0.0209506 + 0.999781i \(0.493331\pi\)
\(308\) 1.95111 3.52950i 0.111175 0.201112i
\(309\) 6.00388 + 1.37035i 0.341549 + 0.0779563i
\(310\) −6.67058 + 19.6032i −0.378863 + 1.11339i
\(311\) −25.4855 + 17.3757i −1.44515 + 0.985288i −0.449388 + 0.893337i \(0.648358\pi\)
−0.995764 + 0.0919508i \(0.970690\pi\)
\(312\) 6.21161 3.49107i 0.351663 0.197643i
\(313\) −13.2680 22.9809i −0.749953 1.29896i −0.947844 0.318733i \(-0.896743\pi\)
0.197891 0.980224i \(-0.436591\pi\)
\(314\) −0.108528 + 0.149732i −0.00612461 + 0.00844986i
\(315\) −0.752651 4.94686i −0.0424071 0.278724i
\(316\) −11.1422 + 1.02819i −0.626796 + 0.0578404i
\(317\) 4.54047 6.65964i 0.255018 0.374043i −0.677285 0.735721i \(-0.736844\pi\)
0.932303 + 0.361678i \(0.117796\pi\)
\(318\) −8.43258 11.2222i −0.472875 0.629311i
\(319\) 3.56237 + 3.30540i 0.199455 + 0.185067i
\(320\) −14.8084 1.45502i −0.827812 0.0813383i
\(321\) 21.4732 10.3409i 1.19852 0.577174i
\(322\) −0.102136 0.511738i −0.00569184 0.0285181i
\(323\) −18.5036 + 38.4232i −1.02957 + 2.13792i
\(324\) 1.63243 + 9.69470i 0.0906905 + 0.538595i
\(325\) −2.38667 1.37795i −0.132389 0.0764347i
\(326\) 10.5630 + 23.6530i 0.585033 + 1.31002i
\(327\) 21.0750 + 3.17654i 1.16545 + 0.175663i
\(328\) −7.22878 + 7.61218i −0.399142 + 0.420312i
\(329\) −12.4069 8.43366i −0.684015 0.464963i
\(330\) −2.82018 + 0.129846i −0.155246 + 0.00714781i
\(331\) −9.71208 + 0.727820i −0.533824 + 0.0400046i −0.338916 0.940817i \(-0.610060\pi\)
−0.194909 + 0.980821i \(0.562441\pi\)
\(332\) 11.9025 15.4641i 0.653232 0.848703i
\(333\) 3.82914 1.50283i 0.209836 0.0823545i
\(334\) −32.0366 + 3.88926i −1.75297 + 0.212811i
\(335\) 9.18394 + 11.5163i 0.501772 + 0.629203i
\(336\) 13.1655 + 6.98467i 0.718236 + 0.381045i
\(337\) 4.10315 5.14519i 0.223513 0.280276i −0.657413 0.753530i \(-0.728349\pi\)
0.880926 + 0.473254i \(0.156921\pi\)
\(338\) 7.27217 11.7979i 0.395554 0.641719i
\(339\) 20.2969 + 1.52105i 1.10238 + 0.0826119i
\(340\) 3.90779 18.5911i 0.211930 1.00825i
\(341\) 4.08090 + 4.39817i 0.220993 + 0.238174i
\(342\) 2.13083 11.8178i 0.115222 0.639033i
\(343\) 11.6075 + 14.4315i 0.626744 + 0.779225i
\(344\) −12.3862 + 20.8915i −0.667821 + 1.12639i
\(345\) −0.267784 + 0.248467i −0.0144170 + 0.0133770i
\(346\) −0.693518 + 24.0819i −0.0372838 + 1.29465i
\(347\) 9.65290 + 0.723385i 0.518195 + 0.0388333i 0.331261 0.943539i \(-0.392526\pi\)
0.186934 + 0.982372i \(0.440145\pi\)
\(348\) −11.9866 + 13.3731i −0.642550 + 0.716874i
\(349\) −12.8430 10.2420i −0.687472 0.548240i 0.216262 0.976335i \(-0.430613\pi\)
−0.903734 + 0.428095i \(0.859185\pi\)
\(350\) −0.273116 5.75775i −0.0145987 0.307765i
\(351\) −6.30926 7.91156i −0.336763 0.422288i
\(352\) −2.40851 + 3.57586i −0.128374 + 0.190594i
\(353\) −1.99591 5.08549i −0.106231 0.270673i 0.867867 0.496796i \(-0.165490\pi\)
−0.974099 + 0.226123i \(0.927395\pi\)
\(354\) −14.7164 7.61647i −0.782167 0.404811i
\(355\) 4.76720 0.357252i 0.253017 0.0189610i
\(356\) −0.204724 + 1.53743i −0.0108503 + 0.0814838i
\(357\) −10.6969 + 15.7365i −0.566142 + 0.832862i
\(358\) −11.9765 5.10299i −0.632975 0.269701i
\(359\) −8.05567 1.21420i −0.425162 0.0640828i −0.0670235 0.997751i \(-0.521350\pi\)
−0.358138 + 0.933669i \(0.616588\pi\)
\(360\) 0.338001 + 5.33858i 0.0178142 + 0.281368i
\(361\) 25.3670 43.9370i 1.33511 2.31247i
\(362\) −4.11174 + 1.47862i −0.216108 + 0.0777144i
\(363\) 6.36628 13.2197i 0.334143 0.693855i
\(364\) −9.46432 + 0.176138i −0.496065 + 0.00923216i
\(365\) 0.0781901 + 0.162363i 0.00409266 + 0.00849849i
\(366\) −10.6430 10.4613i −0.556317 0.546819i
\(367\) −9.72965 9.02779i −0.507883 0.471247i 0.384115 0.923285i \(-0.374507\pi\)
−0.891999 + 0.452038i \(0.850697\pi\)
\(368\) 0.0608185 + 0.554536i 0.00317038 + 0.0289072i
\(369\) 3.11816 + 2.12593i 0.162325 + 0.110671i
\(370\) −10.2543 + 2.84248i −0.533097 + 0.147774i
\(371\) 2.80500 + 18.4361i 0.145628 + 0.957153i
\(372\) −15.9914 + 15.3586i −0.829113 + 0.796306i
\(373\) −12.8772 + 7.43465i −0.666756 + 0.384952i −0.794846 0.606811i \(-0.792449\pi\)
0.128090 + 0.991763i \(0.459115\pi\)
\(374\) −4.20297 3.55443i −0.217330 0.183795i
\(375\) −14.1548 + 9.65058i −0.730951 + 0.498354i
\(376\) 12.4223 + 10.1438i 0.640630 + 0.523126i
\(377\) 2.53819 11.1205i 0.130723 0.572736i
\(378\) 6.79040 20.0466i 0.349260 1.03109i
\(379\) −3.59089 + 0.819598i −0.184452 + 0.0420999i −0.313749 0.949506i \(-0.601585\pi\)
0.129297 + 0.991606i \(0.458728\pi\)
\(380\) −8.64378 + 29.8371i −0.443417 + 1.53061i
\(381\) 3.68303 11.9401i 0.188687 0.611709i
\(382\) 3.38395 + 17.0783i 0.173138 + 0.873804i
\(383\) 4.46475 1.37719i 0.228138 0.0703713i −0.178578 0.983926i \(-0.557150\pi\)
0.406717 + 0.913554i \(0.366674\pi\)
\(384\) −13.3659 8.67179i −0.682074 0.442530i
\(385\) 3.38135 + 1.62259i 0.172329 + 0.0826946i
\(386\) 11.3605 9.94804i 0.578235 0.506342i
\(387\) 8.12778 + 3.18992i 0.413158 + 0.162153i
\(388\) −10.3706 + 22.5186i −0.526487 + 1.14321i
\(389\) 4.43104 + 29.3980i 0.224663 + 1.49054i 0.762223 + 0.647314i \(0.224108\pi\)
−0.537561 + 0.843225i \(0.680654\pi\)
\(390\) 3.57369 + 5.58026i 0.180961 + 0.282567i
\(391\) −0.712242 −0.0360196
\(392\) −11.0089 16.4561i −0.556034 0.831160i
\(393\) −18.6756 −0.942057
\(394\) 6.10531 + 9.53335i 0.307581 + 0.480283i
\(395\) −1.55093 10.2898i −0.0780360 0.517735i
\(396\) 1.40782 + 0.648348i 0.0707454 + 0.0325807i
\(397\) −4.19835 1.64773i −0.210709 0.0826972i 0.257639 0.966241i \(-0.417055\pi\)
−0.468348 + 0.883544i \(0.655151\pi\)
\(398\) 4.84109 4.23919i 0.242662 0.212491i
\(399\) 19.3653 24.3526i 0.969476 1.21916i
\(400\) −0.248650 + 6.15719i −0.0124325 + 0.307860i
\(401\) 2.41053 0.743551i 0.120376 0.0371312i −0.233982 0.972241i \(-0.575176\pi\)
0.354358 + 0.935110i \(0.384699\pi\)
\(402\) 3.06555 + 15.4714i 0.152896 + 0.771644i
\(403\) 4.15094 13.4570i 0.206773 0.670342i
\(404\) 1.93134 + 0.559509i 0.0960878 + 0.0278366i
\(405\) −8.91356 + 2.03446i −0.442919 + 0.101093i
\(406\) 22.4391 8.10452i 1.11363 0.402221i
\(407\) −0.686077 + 3.00590i −0.0340076 + 0.148997i
\(408\) 12.8660 15.7559i 0.636962 0.780035i
\(409\) −2.63591 + 1.79713i −0.130337 + 0.0888626i −0.626734 0.779233i \(-0.715609\pi\)
0.496396 + 0.868096i \(0.334656\pi\)
\(410\) −7.45432 6.30407i −0.368143 0.311336i
\(411\) 23.3316 13.4705i 1.15086 0.664450i
\(412\) 6.05830 + 6.30789i 0.298471 + 0.310767i
\(413\) 12.4259 + 18.1712i 0.611440 + 0.894146i
\(414\) 0.193265 0.0535726i 0.00949844 0.00263295i
\(415\) 14.9945 + 10.2231i 0.736050 + 0.501830i
\(416\) 10.0953 + 0.699230i 0.494965 + 0.0342826i
\(417\) 11.4388 + 10.6137i 0.560161 + 0.519753i
\(418\) 6.41899 + 6.30941i 0.313963 + 0.308603i
\(419\) −1.82209 3.78360i −0.0890147 0.184841i 0.851709 0.524015i \(-0.175567\pi\)
−0.940723 + 0.339174i \(0.889852\pi\)
\(420\) −5.78022 + 12.5972i −0.282046 + 0.614678i
\(421\) −9.08934 + 18.8742i −0.442987 + 0.919872i 0.553234 + 0.833026i \(0.313393\pi\)
−0.996222 + 0.0868469i \(0.972321\pi\)
\(422\) 13.3186 4.78947i 0.648339 0.233148i
\(423\) 2.88280 4.99316i 0.140167 0.242776i
\(424\) −1.25967 19.8960i −0.0611750 0.966234i
\(425\) −7.77964 1.17259i −0.377368 0.0568791i
\(426\) 4.70918 + 2.00651i 0.228161 + 0.0972159i
\(427\) 5.86999 + 18.9366i 0.284069 + 0.916405i
\(428\) 33.5521 + 4.46777i 1.62180 + 0.215958i
\(429\) 1.91464 0.143483i 0.0924397 0.00692740i
\(430\) −20.0594 10.3817i −0.967349 0.500652i
\(431\) 3.97811 + 10.1361i 0.191619 + 0.488237i 0.994103 0.108436i \(-0.0345842\pi\)
−0.802484 + 0.596673i \(0.796489\pi\)
\(432\) −9.10967 + 20.7120i −0.438289 + 0.996506i
\(433\) −15.6673 19.6462i −0.752922 0.944134i 0.246767 0.969075i \(-0.420632\pi\)
−0.999689 + 0.0249406i \(0.992060\pi\)
\(434\) 28.3740 7.90771i 1.36200 0.379582i
\(435\) −13.0576 10.4131i −0.626065 0.499271i
\(436\) 22.5397 + 20.2029i 1.07946 + 0.967542i
\(437\) 1.16138 + 0.0870331i 0.0555561 + 0.00416336i
\(438\) −0.00555467 + 0.192881i −0.000265412 + 0.00921623i
\(439\) −15.0169 + 13.9337i −0.716718 + 0.665017i −0.951716 0.306978i \(-0.900682\pi\)
0.234998 + 0.971996i \(0.424492\pi\)
\(440\) −3.44886 2.04477i −0.164418 0.0974807i
\(441\) −5.20423 + 4.85580i −0.247820 + 0.231229i
\(442\) −2.29259 + 12.7149i −0.109047 + 0.604788i
\(443\) −13.0667 14.0825i −0.620816 0.669080i 0.341856 0.939752i \(-0.388945\pi\)
−0.962672 + 0.270672i \(0.912754\pi\)
\(444\) −11.1503 2.34375i −0.529170 0.111230i
\(445\) −1.43837 0.107791i −0.0681852 0.00510978i
\(446\) −11.6296 + 18.8671i −0.550680 + 0.893384i
\(447\) 14.2527 17.8723i 0.674128 0.845330i
\(448\) 10.1818 + 18.5562i 0.481044 + 0.876696i
\(449\) 3.73037 + 4.67774i 0.176047 + 0.220756i 0.862024 0.506867i \(-0.169196\pi\)
−0.685977 + 0.727623i \(0.740625\pi\)
\(450\) 2.19918 0.266982i 0.103670 0.0125856i
\(451\) −2.63315 + 1.03343i −0.123990 + 0.0486625i
\(452\) 22.9070 + 17.6311i 1.07746 + 0.829299i
\(453\) 26.3501 1.97466i 1.23803 0.0927778i
\(454\) 10.5960 0.487862i 0.497296 0.0228965i
\(455\) −0.670058 8.77761i −0.0314128 0.411501i
\(456\) −22.9045 + 24.1193i −1.07260 + 1.12949i
\(457\) 13.0047 + 1.96014i 0.608334 + 0.0916916i 0.445983 0.895041i \(-0.352854\pi\)
0.162351 + 0.986733i \(0.448092\pi\)
\(458\) 7.47872 + 16.7465i 0.349458 + 0.782515i
\(459\) −25.0181 14.4442i −1.16775 0.674199i
\(460\) −0.511598 + 0.0861446i −0.0238534 + 0.00401651i
\(461\) 2.18926 4.54605i 0.101964 0.211731i −0.843746 0.536743i \(-0.819654\pi\)
0.945710 + 0.325013i \(0.105369\pi\)
\(462\) 2.41691 + 3.20717i 0.112445 + 0.149211i
\(463\) 20.5018 9.87313i 0.952797 0.458843i 0.108131 0.994137i \(-0.465513\pi\)
0.844666 + 0.535294i \(0.179799\pi\)
\(464\) −24.6555 + 6.52821i −1.14460 + 0.303065i
\(465\) −15.1154 14.0250i −0.700958 0.650394i
\(466\) 4.67548 + 6.22221i 0.216587 + 0.288238i
\(467\) 16.2449 23.8268i 0.751722 1.10257i −0.239568 0.970880i \(-0.577006\pi\)
0.991290 0.131694i \(-0.0420417\pi\)
\(468\) −0.334292 3.62260i −0.0154526 0.167455i
\(469\) 6.14817 20.0306i 0.283896 0.924929i
\(470\) −8.75305 + 12.0762i −0.403748 + 0.557034i
\(471\) −0.0920738 0.159476i −0.00424254 0.00734829i
\(472\) −11.5301 20.5154i −0.530717 0.944297i
\(473\) −5.40726 + 3.68661i −0.248626 + 0.169511i
\(474\) 3.58940 10.5484i 0.164866 0.484502i
\(475\) 12.5421 + 2.86266i 0.575473 + 0.131348i
\(476\) −24.9673 + 10.3391i −1.14437 + 0.473893i
\(477\) −6.98728 + 1.59480i −0.319925 + 0.0730209i
\(478\) −1.33754 + 12.8657i −0.0611779 + 0.588462i
\(479\) −7.67288 2.36677i −0.350583 0.108141i 0.114462 0.993428i \(-0.463486\pi\)
−0.465045 + 0.885287i \(0.653962\pi\)
\(480\) 7.33589 12.8735i 0.334836 0.587592i
\(481\) 6.91534 2.13310i 0.315312 0.0972610i
\(482\) 4.76368 + 8.82848i 0.216979 + 0.402126i
\(483\) 0.506764 + 0.114925i 0.0230586 + 0.00522926i
\(484\) 17.8644 10.7283i 0.812018 0.487651i
\(485\) −21.4622 8.42328i −0.974546 0.382481i
\(486\) 13.7566 + 3.55942i 0.624012 + 0.161458i
\(487\) 21.0799 3.17728i 0.955221 0.143976i 0.347107 0.937826i \(-0.387164\pi\)
0.608115 + 0.793849i \(0.291926\pi\)
\(488\) −4.47678 20.7161i −0.202654 0.937776i
\(489\) −25.7953 −1.16651
\(490\) 14.6893 11.1018i 0.663595 0.501529i
\(491\) 30.9539i 1.39693i −0.715645 0.698464i \(-0.753867\pi\)
0.715645 0.698464i \(-0.246133\pi\)
\(492\) −3.98603 9.66359i −0.179704 0.435668i
\(493\) −4.85331 32.1996i −0.218582 1.45020i
\(494\) 5.29199 20.4527i 0.238098 0.920212i
\(495\) −0.526606 + 1.34177i −0.0236692 + 0.0603081i
\(496\) −30.9573 + 5.76252i −1.39002 + 0.258745i
\(497\) −4.24727 5.31075i −0.190516 0.238220i
\(498\) 9.22755 + 17.1013i 0.413496 + 0.766329i
\(499\) 4.43132 + 14.3660i 0.198373 + 0.643109i 0.999032 + 0.0439891i \(0.0140067\pi\)
−0.800659 + 0.599120i \(0.795517\pi\)
\(500\) −24.3267 + 0.418924i −1.08792 + 0.0187348i
\(501\) 9.47220 30.7081i 0.423187 1.37194i
\(502\) −11.5045 1.19603i −0.513471 0.0533816i
\(503\) −1.01460 4.44523i −0.0452386 0.198203i 0.947259 0.320470i \(-0.103841\pi\)
−0.992497 + 0.122267i \(0.960984\pi\)
\(504\) 5.99713 4.68346i 0.267133 0.208618i
\(505\) −0.416105 + 1.82308i −0.0185164 + 0.0811258i
\(506\) −0.0484244 + 0.142307i −0.00215273 + 0.00632633i
\(507\) 7.77418 + 11.4026i 0.345264 + 0.506409i
\(508\) 13.6816 11.3015i 0.607022 0.501423i
\(509\) −37.7567 + 21.7988i −1.67353 + 0.966216i −0.707900 + 0.706312i \(0.750357\pi\)
−0.965635 + 0.259903i \(0.916309\pi\)
\(510\) 15.3170 + 11.1020i 0.678248 + 0.491606i
\(511\) 0.127864 0.222179i 0.00565635 0.00982861i
\(512\) −9.10419 20.7151i −0.402352 0.915485i
\(513\) 39.0294 + 26.6098i 1.72319 + 1.17485i
\(514\) −8.46993 11.2719i −0.373593 0.497183i
\(515\) −5.53225 + 5.96235i −0.243780 + 0.262732i
\(516\) −13.9659 19.7450i −0.614815 0.869225i
\(517\) 1.87503 + 3.89355i 0.0824639 + 0.171238i
\(518\) 11.5713 + 9.75820i 0.508412 + 0.428751i
\(519\) −21.6145 10.4090i −0.948772 0.456905i
\(520\) −0.108895 + 9.41033i −0.00477537 + 0.412670i
\(521\) 9.39684 16.2758i 0.411683 0.713056i −0.583391 0.812192i \(-0.698274\pi\)
0.995074 + 0.0991355i \(0.0316077\pi\)
\(522\) 3.73889 + 8.37221i 0.163647 + 0.366442i
\(523\) −4.03395 + 26.7635i −0.176392 + 1.17029i 0.708919 + 0.705290i \(0.249183\pi\)
−0.885312 + 0.464998i \(0.846055\pi\)
\(524\) −22.1684 14.5614i −0.968429 0.636118i
\(525\) 5.34605 + 2.08960i 0.233321 + 0.0911978i
\(526\) −1.98075 43.0206i −0.0863649 1.87579i
\(527\) −3.00439 40.0908i −0.130873 1.74638i
\(528\) −2.27333 3.64188i −0.0989338 0.158492i
\(529\) −8.39574 21.3920i −0.365032 0.930087i
\(530\) 18.4048 2.23435i 0.799452 0.0970538i
\(531\) −6.61455 + 5.27493i −0.287047 + 0.228913i
\(532\) 41.9749 13.8080i 1.81984 0.598653i
\(533\) 5.19094 + 4.13963i 0.224844 + 0.179307i
\(534\) −1.31476 0.810416i −0.0568954 0.0350701i
\(535\) −2.35236 + 31.3901i −0.101702 + 1.35711i
\(536\) −8.42424 + 20.7552i −0.363872 + 0.896487i
\(537\) 9.50286 8.81736i 0.410079 0.380497i
\(538\) −0.285749 + 1.58479i −0.0123195 + 0.0683253i
\(539\) −0.809801 5.27319i −0.0348806 0.227133i
\(540\) −19.7173 7.34927i −0.848500 0.316262i
\(541\) −28.3589 30.5636i −1.21924 1.31403i −0.934729 0.355361i \(-0.884358\pi\)
−0.284515 0.958672i \(-0.591833\pi\)
\(542\) −26.1768 0.753849i −1.12439 0.0323806i
\(543\) 0.325158 4.33894i 0.0139539 0.186202i
\(544\) 27.5572 8.67102i 1.18151 0.371767i
\(545\) −17.5508 + 22.0080i −0.751794 + 0.942719i
\(546\) 3.68283 8.67683i 0.157611 0.371334i
\(547\) 16.2634 12.9696i 0.695372 0.554540i −0.210759 0.977538i \(-0.567594\pi\)
0.906131 + 0.422998i \(0.139022\pi\)
\(548\) 38.1982 + 2.20191i 1.63174 + 0.0940611i
\(549\) −7.09271 + 2.78368i −0.302710 + 0.118805i
\(550\) −0.763214 + 1.47467i −0.0325436 + 0.0628800i
\(551\) 3.97911 + 53.0975i 0.169516 + 2.26203i
\(552\) −0.528900 0.169871i −0.0225115 0.00723018i
\(553\) −10.8369 + 10.0832i −0.460830 + 0.428781i
\(554\) 24.1020 + 10.2695i 1.02400 + 0.436310i
\(555\) 1.57927 10.4778i 0.0670365 0.444758i
\(556\) 5.30264 + 21.5176i 0.224882 + 0.912548i
\(557\) 23.0033 + 13.2810i 0.974682 + 0.562733i 0.900660 0.434524i \(-0.143083\pi\)
0.0740217 + 0.997257i \(0.476417\pi\)
\(558\) 3.83074 + 10.6525i 0.162168 + 0.450958i
\(559\) 13.8398 + 6.66490i 0.585361 + 0.281895i
\(560\) −16.6833 + 10.4463i −0.704999 + 0.441436i
\(561\) 4.93843 2.37822i 0.208501 0.100409i
\(562\) −25.0673 24.6393i −1.05740 1.03935i
\(563\) −21.5549 + 23.2306i −0.908429 + 0.979054i −0.999860 0.0167574i \(-0.994666\pi\)
0.0914301 + 0.995811i \(0.470856\pi\)
\(564\) −14.2672 + 7.17590i −0.600756 + 0.302160i
\(565\) −15.1434 + 22.2114i −0.637090 + 0.934439i
\(566\) −1.79617 6.47974i −0.0754988 0.272364i
\(567\) 9.54594 + 8.83268i 0.400892 + 0.370938i
\(568\) 4.02543 + 6.05355i 0.168903 + 0.254001i
\(569\) 16.4634 + 28.5154i 0.690180 + 1.19543i 0.971779 + 0.235895i \(0.0758020\pi\)
−0.281599 + 0.959532i \(0.590865\pi\)
\(570\) −23.6191 19.9746i −0.989297 0.836642i
\(571\) −14.7034 21.5659i −0.615317 0.902505i 0.384470 0.923138i \(-0.374384\pi\)
−0.999787 + 0.0206329i \(0.993432\pi\)
\(572\) 2.38460 + 1.32254i 0.0997052 + 0.0552980i
\(573\) −16.9023 3.85784i −0.706104 0.161164i
\(574\) −1.41680 + 13.8146i −0.0591360 + 0.576611i
\(575\) 0.0478095 + 0.209467i 0.00199379 + 0.00873538i
\(576\) −6.82536 + 4.42563i −0.284390 + 0.184401i
\(577\) 30.1149 + 9.28920i 1.25370 + 0.386715i 0.849320 0.527878i \(-0.177012\pi\)
0.404378 + 0.914592i \(0.367488\pi\)
\(578\) 2.49608 + 12.5974i 0.103823 + 0.523982i
\(579\) 4.43219 + 14.3688i 0.184195 + 0.597147i
\(580\) −7.38059 22.5417i −0.306462 0.935994i
\(581\) −0.0358726 25.8149i −0.00148825 1.07098i
\(582\) −16.2638 18.5730i −0.674155 0.769875i
\(583\) 1.96257 5.00054i 0.0812813 0.207101i
\(584\) −0.156984 + 0.224624i −0.00649605 + 0.00929502i
\(585\) 3.34547 0.504249i 0.138318 0.0208481i
\(586\) −10.1268 15.8129i −0.418336 0.653225i
\(587\) 12.0181i 0.496040i −0.968755 0.248020i \(-0.920220\pi\)
0.968755 0.248020i \(-0.0797799\pi\)
\(588\) 19.4327 3.32771i 0.801390 0.137232i
\(589\) 65.7389i 2.70872i
\(590\) 18.4302 11.8030i 0.758758 0.485921i
\(591\) −11.1471 + 1.68016i −0.458531 + 0.0691125i
\(592\) −11.4083 11.4760i −0.468876 0.471662i
\(593\) −3.87293 + 9.86806i −0.159042 + 0.405233i −0.988076 0.153965i \(-0.950796\pi\)
0.829034 + 0.559198i \(0.188891\pi\)
\(594\) −4.58694 + 4.01663i −0.188204 + 0.164804i
\(595\) −10.9355 22.6273i −0.448311 0.927627i
\(596\) 30.8534 10.1020i 1.26380 0.413793i
\(597\) 1.88870 + 6.12302i 0.0772994 + 0.250598i
\(598\) 0.346102 0.0685777i 0.0141532 0.00280435i
\(599\) −36.5004 11.2589i −1.49137 0.460026i −0.561361 0.827571i \(-0.689722\pi\)
−0.930006 + 0.367545i \(0.880198\pi\)
\(600\) −5.49738 2.72621i −0.224430 0.111297i
\(601\) −8.81242 38.6097i −0.359466 1.57492i −0.754528 0.656268i \(-0.772134\pi\)
0.395062 0.918655i \(-0.370723\pi\)
\(602\) 3.91638 + 31.8895i 0.159620 + 1.29972i
\(603\) 7.85083 + 1.79190i 0.319710 + 0.0729718i
\(604\) 32.8179 + 18.2013i 1.33534 + 0.740600i
\(605\) 10.9167 + 16.0118i 0.443826 + 0.650973i
\(606\) −1.29295 + 1.52886i −0.0525223 + 0.0621056i
\(607\) −7.64832 13.2473i −0.310436 0.537690i 0.668021 0.744142i \(-0.267142\pi\)
−0.978457 + 0.206452i \(0.933808\pi\)
\(608\) −45.9942 + 10.7715i −1.86531 + 0.436843i
\(609\) −1.74246 + 23.6933i −0.0706081 + 0.960101i
\(610\) 18.9941 5.26513i 0.769047 0.213179i
\(611\) 5.71399 8.38088i 0.231163 0.339054i
\(612\) −4.66665 9.27825i −0.188638 0.375051i
\(613\) 18.2011 19.6161i 0.735137 0.792289i −0.249226 0.968445i \(-0.580176\pi\)
0.984362 + 0.176157i \(0.0563665\pi\)
\(614\) 7.01907 7.14099i 0.283267 0.288187i
\(615\) 8.75872 4.21798i 0.353186 0.170085i
\(616\) 0.368284 + 5.69146i 0.0148386 + 0.229316i
\(617\) −3.66784 1.76634i −0.147661 0.0711100i 0.358594 0.933494i \(-0.383256\pi\)
−0.506255 + 0.862384i \(0.668971\pi\)
\(618\) −8.19533 + 2.94711i −0.329665 + 0.118550i
\(619\) −1.16858 0.674682i −0.0469693 0.0271178i 0.476331 0.879266i \(-0.341966\pi\)
−0.523301 + 0.852148i \(0.675300\pi\)
\(620\) −7.00696 28.4335i −0.281406 1.14192i
\(621\) −0.117582 + 0.780103i −0.00471839 + 0.0313044i
\(622\) 17.0991 40.1307i 0.685612 1.60910i
\(623\) 1.02836 + 1.77547i 0.0412004 + 0.0711328i
\(624\) −4.73498 + 8.89514i −0.189551 + 0.356091i
\(625\) −1.11527 14.8822i −0.0446107 0.595288i
\(626\) 33.3285 + 17.2492i 1.33208 + 0.689417i
\(627\) −8.34317 + 3.27445i −0.333194 + 0.130769i
\(628\) 0.0150506 0.261093i 0.000600583 0.0104187i
\(629\) 16.1525 12.8812i 0.644040 0.513605i
\(630\) 4.66926 + 5.31731i 0.186028 + 0.211847i
\(631\) 24.1085 30.2311i 0.959745 1.20348i −0.0192945 0.999814i \(-0.506142\pi\)
0.979040 0.203669i \(-0.0652866\pi\)
\(632\) 12.4853 9.72250i 0.496639 0.386740i
\(633\) −1.05324 + 14.0545i −0.0418625 + 0.558616i
\(634\) −0.328132 + 11.3941i −0.0130318 + 0.452518i
\(635\) 11.2250 + 12.0976i 0.445450 + 0.480081i
\(636\) 18.6016 + 6.93341i 0.737603 + 0.274928i
\(637\) −9.76858 + 7.83470i −0.387045 + 0.310422i
\(638\) −6.76352 1.21951i −0.267770 0.0482808i
\(639\) 1.91583 1.77763i 0.0757891 0.0703220i
\(640\) 18.7454 9.56134i 0.740977 0.377945i
\(641\) 0.910719 12.1527i 0.0359713 0.480003i −0.949906 0.312535i \(-0.898822\pi\)
0.985878 0.167468i \(-0.0535591\pi\)
\(642\) −17.6861 + 28.6926i −0.698013 + 1.13241i
\(643\) 12.5805 + 10.0326i 0.496128 + 0.395649i 0.839338 0.543610i \(-0.182943\pi\)
−0.343210 + 0.939259i \(0.611514\pi\)
\(644\) 0.511934 + 0.531545i 0.0201730 + 0.0209458i
\(645\) 17.5846 14.0232i 0.692391 0.552164i
\(646\) −7.26845 59.8717i −0.285973 2.35562i
\(647\) −10.9579 27.9204i −0.430801 1.09766i −0.967271 0.253744i \(-0.918338\pi\)
0.536470 0.843919i \(-0.319757\pi\)
\(648\) −9.33814 10.3006i −0.366837 0.404648i
\(649\) −0.473886 6.32357i −0.0186017 0.248222i
\(650\) 3.89330 0.179255i 0.152708 0.00703095i
\(651\) −4.33128 + 29.0096i −0.169756 + 1.13698i
\(652\) −30.6197 20.1127i −1.19916 0.787675i
\(653\) 1.21179 8.03969i 0.0474209 0.314617i −0.952527 0.304453i \(-0.901526\pi\)
0.999948 0.0101645i \(-0.00323552\pi\)
\(654\) −27.5214 + 12.2906i −1.07617 + 0.480600i
\(655\) 12.3329 21.3613i 0.481888 0.834654i
\(656\) 2.80322 14.5789i 0.109447 0.569209i
\(657\) 0.0887629 + 0.0427459i 0.00346297 + 0.00166768i
\(658\) 21.2080 + 0.581261i 0.826773 + 0.0226599i
\(659\) 6.44111 + 13.3751i 0.250910 + 0.521020i 0.987939 0.154841i \(-0.0494864\pi\)
−0.737029 + 0.675861i \(0.763772\pi\)
\(660\) 3.25959 2.30555i 0.126879 0.0897436i
\(661\) −25.6785 + 27.6749i −0.998779 + 1.07643i −0.00170430 + 0.999999i \(0.500542\pi\)
−0.997075 + 0.0764295i \(0.975648\pi\)
\(662\) 11.0113 8.27407i 0.427966 0.321581i
\(663\) −10.6300 7.24740i −0.412834 0.281466i
\(664\) −2.38065 + 27.4945i −0.0923873 + 1.06699i
\(665\) 15.0663 + 38.2321i 0.584248 + 1.48258i
\(666\) −3.41404 + 4.71020i −0.132291 + 0.182517i
\(667\) −0.770131 + 0.444635i −0.0298196 + 0.0172163i
\(668\) 35.1870 29.0658i 1.36143 1.12459i
\(669\) −12.4325 18.2351i −0.480667 0.705009i
\(670\) −19.7208 6.71058i −0.761879 0.259252i
\(671\) 1.27082 5.56782i 0.0490594 0.214943i
\(672\) −21.0063 + 1.72294i −0.810334 + 0.0664638i
\(673\) 8.02957 + 35.1798i 0.309517 + 1.35608i 0.855290 + 0.518150i \(0.173379\pi\)
−0.545773 + 0.837933i \(0.683764\pi\)
\(674\) −0.962377 + 9.25697i −0.0370694 + 0.356565i
\(675\) −2.56863 + 8.32729i −0.0988666 + 0.320518i
\(676\) 0.337471 + 19.5968i 0.0129797 + 0.753722i
\(677\) −14.4148 46.7317i −0.554007 1.79605i −0.603613 0.797278i \(-0.706273\pi\)
0.0496060 0.998769i \(-0.484203\pi\)
\(678\) −25.3323 + 13.6688i −0.972879 + 0.524947i
\(679\) 7.34235 + 31.9641i 0.281773 + 1.22667i
\(680\) 9.52535 + 25.1211i 0.365281 + 0.963351i
\(681\) −3.85893 + 9.83240i −0.147875 + 0.376778i
\(682\) −8.21449 2.12544i −0.314549 0.0813872i
\(683\) 0.769230 + 5.10351i 0.0294338 + 0.195280i 0.998715 0.0506738i \(-0.0161369\pi\)
−0.969282 + 0.245954i \(0.920899\pi\)
\(684\) 6.47564 + 15.6993i 0.247602 + 0.600277i
\(685\) 35.5825i 1.35954i
\(686\) −24.8303 8.33394i −0.948027 0.318191i
\(687\) −18.2633 −0.696788
\(688\) −1.18263 34.3271i −0.0450872 1.30871i
\(689\) −12.4680 + 1.87925i −0.474993 + 0.0715936i
\(690\) 0.129408 0.500142i 0.00492648 0.0190401i
\(691\) −18.3938 7.21905i −0.699735 0.274626i −0.0113128 0.999936i \(-0.503601\pi\)
−0.688422 + 0.725310i \(0.741696\pi\)
\(692\) −17.5410 29.2087i −0.666810 1.11035i
\(693\) 1.99833 0.459028i 0.0759103 0.0174370i
\(694\) −12.0476 + 6.50066i −0.457321 + 0.246762i
\(695\) −19.6939 + 6.07478i −0.747034 + 0.230429i
\(696\) 4.07566 25.0685i 0.154487 0.950217i
\(697\) 18.1122 + 5.58688i 0.686049 + 0.211618i
\(698\) 23.1065 + 2.40221i 0.874596 + 0.0909250i
\(699\) −7.55593 + 1.72459i −0.285792 + 0.0652301i
\(700\) 4.71663 + 6.64875i 0.178272 + 0.251299i
\(701\) 38.4640 + 8.77916i 1.45277 + 0.331584i 0.874803 0.484479i \(-0.160991\pi\)
0.577963 + 0.816063i \(0.303848\pi\)
\(702\) 13.5479 + 4.61009i 0.511333 + 0.173997i
\(703\) −27.9121 + 19.0301i −1.05272 + 0.717735i
\(704\) 0.141092 6.09552i 0.00531761 0.229734i
\(705\) −7.42595 12.8621i −0.279678 0.484416i
\(706\) 6.25563 + 4.53419i 0.235434 + 0.170647i
\(707\) 2.47475 0.975238i 0.0930725 0.0366776i
\(708\) 23.3351 2.15335i 0.876988 0.0809280i
\(709\) 16.9658 24.8842i 0.637163 0.934547i −0.362833 0.931854i \(-0.618190\pi\)
0.999996 0.00269297i \(-0.000857199\pi\)
\(710\) −5.40491 + 4.06135i −0.202843 + 0.152420i
\(711\) −4.17025 3.86942i −0.156397 0.145115i
\(712\) −0.928772 1.98711i −0.0348072 0.0744702i
\(713\) −0.989181 + 0.476365i −0.0370451 + 0.0178400i
\(714\) 0.737249 26.8994i 0.0275909 1.00668i
\(715\) −1.10027 + 2.28474i −0.0411478 + 0.0854443i
\(716\) 18.1551 3.05702i 0.678487 0.114246i
\(717\) −11.1548 6.44024i −0.416584 0.240515i
\(718\) 10.5198 4.69794i 0.392594 0.175326i
\(719\) −0.509782 0.0768372i −0.0190116 0.00286554i 0.139530 0.990218i \(-0.455441\pi\)
−0.158541 + 0.987352i \(0.550679\pi\)
\(720\) −4.47421 6.10007i −0.166744 0.227336i
\(721\) 11.4430 + 1.70850i 0.426161 + 0.0636278i
\(722\) 3.29996 + 71.6729i 0.122812 + 2.66739i
\(723\) −9.96146 + 0.746509i −0.370471 + 0.0277630i
\(724\) 3.76906 4.89690i 0.140076 0.181992i
\(725\) −9.14397 + 3.58874i −0.339599 + 0.133283i
\(726\) 2.50075 + 20.5992i 0.0928116 + 0.764508i
\(727\) 3.78295 + 4.74367i 0.140302 + 0.175933i 0.847018 0.531564i \(-0.178396\pi\)
−0.706716 + 0.707497i \(0.749824\pi\)
\(728\) 11.1370 7.42810i 0.412764 0.275304i
\(729\) −18.0167 + 22.5922i −0.667284 + 0.836748i
\(730\) −0.216951 0.133728i −0.00802973 0.00494950i
\(731\) 43.7300 + 3.27711i 1.61741 + 0.121208i
\(732\) 20.6537 + 4.34133i 0.763382 + 0.160460i
\(733\) 1.39887 + 1.50762i 0.0516685 + 0.0556854i 0.758357 0.651839i \(-0.226002\pi\)
−0.706689 + 0.707525i \(0.749812\pi\)
\(734\) 18.4727 + 3.33075i 0.681839 + 0.122940i
\(735\) 4.12959 + 17.8639i 0.152322 + 0.658921i
\(736\) −0.495369 0.614026i −0.0182595 0.0226333i
\(737\) −4.42454 + 4.10538i −0.162980 + 0.151224i
\(738\) −5.33492 0.153637i −0.196381 0.00565546i
\(739\) −4.94198 0.370350i −0.181794 0.0136236i −0.0164779 0.999864i \(-0.505245\pi\)
−0.165316 + 0.986241i \(0.552864\pi\)
\(740\) 10.0442 11.2060i 0.369233 0.411943i
\(741\) 16.4476 + 13.1165i 0.604217 + 0.481847i
\(742\) −17.4015 19.8167i −0.638830 0.727493i
\(743\) 2.68870 + 3.37152i 0.0986388 + 0.123689i 0.828701 0.559692i \(-0.189080\pi\)
−0.730062 + 0.683381i \(0.760509\pi\)
\(744\) 7.33071 30.4874i 0.268757 1.11772i
\(745\) 11.0303 + 28.1048i 0.404120 + 1.02968i
\(746\) 9.66548 18.6754i 0.353878 0.683756i
\(747\) 9.89356 0.741420i 0.361987 0.0271271i
\(748\) 7.71635 + 1.02750i 0.282138 + 0.0375693i
\(749\) 38.7469 22.4424i 1.41578 0.820026i
\(750\) 9.49695 22.2888i 0.346779 0.813873i
\(751\) 6.26088 + 0.943677i 0.228463 + 0.0344352i 0.262276 0.964993i \(-0.415527\pi\)
−0.0338130 + 0.999428i \(0.510765\pi\)
\(752\) −22.5306 2.60619i −0.821605 0.0950379i
\(753\) 5.75887 9.97465i 0.209865 0.363497i
\(754\) 5.45870 + 15.1796i 0.198794 + 0.552808i
\(755\) −15.1424 + 31.4435i −0.551088 + 1.14435i
\(756\) 7.20245 + 29.0530i 0.261951 + 1.05665i
\(757\) −21.8359 45.3427i −0.793639 1.64801i −0.761185 0.648535i \(-0.775382\pi\)
−0.0324546 0.999473i \(-0.510332\pi\)
\(758\) 3.65139 3.71481i 0.132625 0.134928i
\(759\) −0.109728 0.101813i −0.00398289 0.00369558i
\(760\) −12.4623 42.1263i −0.452054 1.52808i
\(761\) 38.5196 + 26.2622i 1.39633 + 0.952003i 0.999417 + 0.0341485i \(0.0108719\pi\)
0.396916 + 0.917855i \(0.370080\pi\)
\(762\) 4.72035 + 17.0288i 0.171000 + 0.616887i
\(763\) 39.9339 + 2.93684i 1.44570 + 0.106321i
\(764\) −17.0555 17.7582i −0.617046 0.642468i
\(765\) 8.36453 4.82926i 0.302420 0.174602i
\(766\) −4.26682 + 5.04535i −0.154167 + 0.182296i
\(767\) −12.2979 + 8.38459i −0.444053 + 0.302750i
\(768\) 22.5316 + 0.133472i 0.813041 + 0.00481626i
\(769\) −5.65279 + 24.7665i −0.203845 + 0.893102i 0.764724 + 0.644357i \(0.222875\pi\)
−0.968569 + 0.248744i \(0.919982\pi\)
\(770\) −5.26446 + 0.646533i −0.189718 + 0.0232994i
\(771\) 13.6881 3.12421i 0.492963 0.112516i
\(772\) −5.94229 + 20.5119i −0.213868 + 0.738240i