Properties

Label 189.2.bd.a.47.10
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.10
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.313923 - 0.0553531i) q^{2} +(1.24200 - 1.20725i) q^{3} +(-1.78390 - 0.649287i) q^{4} +(-2.68563 - 0.977491i) q^{5} +(-0.456717 + 0.310234i) q^{6} +(-2.48320 + 0.913082i) q^{7} +(1.07619 + 0.621337i) q^{8} +(0.0851152 - 2.99879i) q^{9} +O(q^{10})\) \(q+(-0.313923 - 0.0553531i) q^{2} +(1.24200 - 1.20725i) q^{3} +(-1.78390 - 0.649287i) q^{4} +(-2.68563 - 0.977491i) q^{5} +(-0.456717 + 0.310234i) q^{6} +(-2.48320 + 0.913082i) q^{7} +(1.07619 + 0.621337i) q^{8} +(0.0851152 - 2.99879i) q^{9} +(0.788975 + 0.455515i) q^{10} +(-1.16543 - 3.20200i) q^{11} +(-2.99945 + 1.34719i) q^{12} +(-1.17022 + 3.21516i) q^{13} +(0.830076 - 0.149185i) q^{14} +(-4.51562 + 2.02818i) q^{15} +(2.60505 + 2.18590i) q^{16} +(2.33161 - 4.03847i) q^{17} +(-0.192712 + 0.936679i) q^{18} +(4.78098 - 2.76030i) q^{19} +(4.15623 + 3.48749i) q^{20} +(-1.98181 + 4.13188i) q^{21} +(0.188615 + 1.06969i) q^{22} +(-1.35415 + 0.238774i) q^{23} +(2.08673 - 0.527523i) q^{24} +(2.42692 + 2.03643i) q^{25} +(0.545329 - 0.944538i) q^{26} +(-3.51457 - 3.82725i) q^{27} +(5.02264 - 0.0165384i) q^{28} +(-2.81504 - 7.73427i) q^{29} +(1.52982 - 0.386739i) q^{30} +(0.756904 - 2.07958i) q^{31} +(-2.29434 - 2.73429i) q^{32} +(-5.31306 - 2.56991i) q^{33} +(-0.955489 + 1.13871i) q^{34} +(7.56149 - 0.0248983i) q^{35} +(-2.09891 + 5.29429i) q^{36} -1.76484 q^{37} +(-1.65365 + 0.601880i) q^{38} +(2.42808 + 5.40597i) q^{39} +(-2.28289 - 2.72064i) q^{40} +(4.96713 + 1.80789i) q^{41} +(0.850850 - 1.18739i) q^{42} +(-1.57831 + 8.95103i) q^{43} +6.46875i q^{44} +(-3.15988 + 7.97046i) q^{45} +0.438317 q^{46} +(2.87974 - 1.04814i) q^{47} +(5.87439 - 0.430058i) q^{48} +(5.33256 - 4.53473i) q^{49} +(-0.649143 - 0.773618i) q^{50} +(-1.97957 - 7.83060i) q^{51} +(4.17513 - 4.97572i) q^{52} +(1.30996 - 0.756305i) q^{53} +(0.891454 + 1.39600i) q^{54} +9.73859i q^{55} +(-3.23972 - 0.560257i) q^{56} +(2.60560 - 9.20011i) q^{57} +(0.455592 + 2.58379i) q^{58} +(-5.25805 + 4.41203i) q^{59} +(9.37229 - 0.686137i) q^{60} +(3.36646 + 9.24926i) q^{61} +(-0.352721 + 0.610930i) q^{62} +(2.52678 + 7.52432i) q^{63} +(-2.83176 - 4.90475i) q^{64} +(6.28558 - 7.49087i) q^{65} +(1.52564 + 1.10085i) q^{66} +(-1.66553 - 9.44568i) q^{67} +(-6.78150 + 5.69035i) q^{68} +(-1.39360 + 1.93135i) q^{69} +(-2.37511 - 0.410736i) q^{70} +(-9.64722 + 5.56983i) q^{71} +(1.95486 - 3.17438i) q^{72} +5.91133i q^{73} +(0.554024 + 0.0976893i) q^{74} +(5.47269 - 0.400651i) q^{75} +(-10.3210 + 1.81988i) q^{76} +(5.81769 + 6.88707i) q^{77} +(-0.462992 - 1.83146i) q^{78} +(1.98492 - 11.2570i) q^{79} +(-4.85952 - 8.41694i) q^{80} +(-8.98551 - 0.510486i) q^{81} +(-1.45922 - 0.842484i) q^{82} +(6.72578 - 2.44798i) q^{83} +(6.21814 - 6.08410i) q^{84} +(-10.2094 + 8.56673i) q^{85} +(0.990935 - 2.72257i) q^{86} +(-12.8334 - 6.20749i) q^{87} +(0.735296 - 4.17007i) q^{88} +(6.12929 + 10.6162i) q^{89} +(1.43315 - 2.32720i) q^{90} +(-0.0298075 - 9.05240i) q^{91} +(2.57071 + 0.453286i) q^{92} +(-1.57049 - 3.49660i) q^{93} +(-0.962036 + 0.169633i) q^{94} +(-15.5381 + 2.73979i) q^{95} +(-6.15052 - 0.626146i) q^{96} +(-2.47531 - 0.436465i) q^{97} +(-1.92503 + 1.12838i) q^{98} +(-9.70132 + 3.22235i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.313923 0.0553531i −0.221977 0.0391406i 0.0615533 0.998104i \(-0.480395\pi\)
−0.283530 + 0.958963i \(0.591506\pi\)
\(3\) 1.24200 1.20725i 0.717068 0.697004i
\(4\) −1.78390 0.649287i −0.891951 0.324644i
\(5\) −2.68563 0.977491i −1.20105 0.437147i −0.337461 0.941340i \(-0.609568\pi\)
−0.863591 + 0.504193i \(0.831790\pi\)
\(6\) −0.456717 + 0.310234i −0.186454 + 0.126652i
\(7\) −2.48320 + 0.913082i −0.938561 + 0.345112i
\(8\) 1.07619 + 0.621337i 0.380489 + 0.219676i
\(9\) 0.0851152 2.99879i 0.0283717 0.999597i
\(10\) 0.788975 + 0.455515i 0.249496 + 0.144047i
\(11\) −1.16543 3.20200i −0.351391 0.965439i −0.981924 0.189276i \(-0.939386\pi\)
0.630533 0.776162i \(-0.282836\pi\)
\(12\) −2.99945 + 1.34719i −0.865867 + 0.388902i
\(13\) −1.17022 + 3.21516i −0.324562 + 0.891726i 0.664900 + 0.746932i \(0.268474\pi\)
−0.989462 + 0.144794i \(0.953748\pi\)
\(14\) 0.830076 0.149185i 0.221847 0.0398713i
\(15\) −4.51562 + 2.02818i −1.16593 + 0.523674i
\(16\) 2.60505 + 2.18590i 0.651263 + 0.546475i
\(17\) 2.33161 4.03847i 0.565499 0.979474i −0.431504 0.902111i \(-0.642017\pi\)
0.997003 0.0773624i \(-0.0246498\pi\)
\(18\) −0.192712 + 0.936679i −0.0454227 + 0.220777i
\(19\) 4.78098 2.76030i 1.09683 0.633256i 0.161445 0.986882i \(-0.448385\pi\)
0.935387 + 0.353625i \(0.115051\pi\)
\(20\) 4.15623 + 3.48749i 0.929362 + 0.779827i
\(21\) −1.98181 + 4.13188i −0.432467 + 0.901650i
\(22\) 0.188615 + 1.06969i 0.0402129 + 0.228059i
\(23\) −1.35415 + 0.238774i −0.282361 + 0.0497878i −0.313035 0.949742i \(-0.601346\pi\)
0.0306742 + 0.999529i \(0.490235\pi\)
\(24\) 2.08673 0.527523i 0.425951 0.107680i
\(25\) 2.42692 + 2.03643i 0.485383 + 0.407285i
\(26\) 0.545329 0.944538i 0.106948 0.185239i
\(27\) −3.51457 3.82725i −0.676379 0.736554i
\(28\) 5.02264 0.0165384i 0.949189 0.00312546i
\(29\) −2.81504 7.73427i −0.522741 1.43622i −0.867458 0.497511i \(-0.834247\pi\)
0.344717 0.938707i \(-0.387975\pi\)
\(30\) 1.52982 0.386739i 0.279306 0.0706085i
\(31\) 0.756904 2.07958i 0.135944 0.373503i −0.852977 0.521949i \(-0.825205\pi\)
0.988920 + 0.148446i \(0.0474272\pi\)
\(32\) −2.29434 2.73429i −0.405586 0.483358i
\(33\) −5.31306 2.56991i −0.924885 0.447364i
\(34\) −0.955489 + 1.13871i −0.163865 + 0.195287i
\(35\) 7.56149 0.0248983i 1.27813 0.00420858i
\(36\) −2.09891 + 5.29429i −0.349819 + 0.882381i
\(37\) −1.76484 −0.290138 −0.145069 0.989422i \(-0.546340\pi\)
−0.145069 + 0.989422i \(0.546340\pi\)
\(38\) −1.65365 + 0.601880i −0.268258 + 0.0976378i
\(39\) 2.42808 + 5.40597i 0.388803 + 0.865648i
\(40\) −2.28289 2.72064i −0.360957 0.430172i
\(41\) 4.96713 + 1.80789i 0.775735 + 0.282344i 0.699393 0.714737i \(-0.253454\pi\)
0.0763420 + 0.997082i \(0.475676\pi\)
\(42\) 0.850850 1.18739i 0.131289 0.183219i
\(43\) −1.57831 + 8.95103i −0.240690 + 1.36502i 0.589603 + 0.807693i \(0.299284\pi\)
−0.830293 + 0.557327i \(0.811827\pi\)
\(44\) 6.46875i 0.975200i
\(45\) −3.15988 + 7.97046i −0.471047 + 1.18817i
\(46\) 0.438317 0.0646263
\(47\) 2.87974 1.04814i 0.420054 0.152887i −0.123341 0.992364i \(-0.539361\pi\)
0.543395 + 0.839477i \(0.317139\pi\)
\(48\) 5.87439 0.430058i 0.847895 0.0620736i
\(49\) 5.33256 4.53473i 0.761795 0.647818i
\(50\) −0.649143 0.773618i −0.0918027 0.109406i
\(51\) −1.97957 7.83060i −0.277195 1.09650i
\(52\) 4.17513 4.97572i 0.578986 0.690009i
\(53\) 1.30996 0.756305i 0.179937 0.103886i −0.407326 0.913283i \(-0.633539\pi\)
0.587263 + 0.809396i \(0.300205\pi\)
\(54\) 0.891454 + 1.39600i 0.121311 + 0.189972i
\(55\) 9.73859i 1.31315i
\(56\) −3.23972 0.560257i −0.432925 0.0748675i
\(57\) 2.60560 9.20011i 0.345121 1.21858i
\(58\) 0.455592 + 2.58379i 0.0598221 + 0.339268i
\(59\) −5.25805 + 4.41203i −0.684540 + 0.574397i −0.917329 0.398130i \(-0.869659\pi\)
0.232789 + 0.972527i \(0.425215\pi\)
\(60\) 9.37229 0.686137i 1.20996 0.0885799i
\(61\) 3.36646 + 9.24926i 0.431031 + 1.18425i 0.945181 + 0.326547i \(0.105885\pi\)
−0.514150 + 0.857700i \(0.671893\pi\)
\(62\) −0.352721 + 0.610930i −0.0447956 + 0.0775882i
\(63\) 2.52678 + 7.52432i 0.318345 + 0.947975i
\(64\) −2.83176 4.90475i −0.353970 0.613094i
\(65\) 6.28558 7.49087i 0.779631 0.929128i
\(66\) 1.52564 + 1.10085i 0.187793 + 0.135505i
\(67\) −1.66553 9.44568i −0.203477 1.15397i −0.899819 0.436264i \(-0.856302\pi\)
0.696342 0.717710i \(-0.254810\pi\)
\(68\) −6.78150 + 5.69035i −0.822377 + 0.690056i
\(69\) −1.39360 + 1.93135i −0.167769 + 0.232508i
\(70\) −2.37511 0.410736i −0.283879 0.0490924i
\(71\) −9.64722 + 5.56983i −1.14491 + 0.661017i −0.947643 0.319332i \(-0.896541\pi\)
−0.197272 + 0.980349i \(0.563208\pi\)
\(72\) 1.95486 3.17438i 0.230382 0.374104i
\(73\) 5.91133i 0.691869i 0.938259 + 0.345935i \(0.112438\pi\)
−0.938259 + 0.345935i \(0.887562\pi\)
\(74\) 0.554024 + 0.0976893i 0.0644040 + 0.0113562i
\(75\) 5.47269 0.400651i 0.631932 0.0462631i
\(76\) −10.3210 + 1.81988i −1.18390 + 0.208754i
\(77\) 5.81769 + 6.88707i 0.662987 + 0.784854i
\(78\) −0.462992 1.83146i −0.0524235 0.207372i
\(79\) 1.98492 11.2570i 0.223321 1.26652i −0.642548 0.766245i \(-0.722123\pi\)
0.865869 0.500271i \(-0.166766\pi\)
\(80\) −4.85952 8.41694i −0.543311 0.941042i
\(81\) −8.98551 0.510486i −0.998390 0.0567207i
\(82\) −1.45922 0.842484i −0.161144 0.0930367i
\(83\) 6.72578 2.44798i 0.738250 0.268701i 0.0545974 0.998508i \(-0.482612\pi\)
0.683653 + 0.729807i \(0.260390\pi\)
\(84\) 6.21814 6.08410i 0.678454 0.663829i
\(85\) −10.2094 + 8.56673i −1.10737 + 0.929192i
\(86\) 0.990935 2.72257i 0.106855 0.293582i
\(87\) −12.8334 6.20749i −1.37589 0.665513i
\(88\) 0.735296 4.17007i 0.0783828 0.444531i
\(89\) 6.12929 + 10.6162i 0.649703 + 1.12532i 0.983194 + 0.182565i \(0.0584401\pi\)
−0.333491 + 0.942753i \(0.608227\pi\)
\(90\) 1.43315 2.32720i 0.151067 0.245309i
\(91\) −0.0298075 9.05240i −0.00312467 0.948949i
\(92\) 2.57071 + 0.453286i 0.268015 + 0.0472583i
\(93\) −1.57049 3.49660i −0.162852 0.362580i
\(94\) −0.962036 + 0.169633i −0.0992265 + 0.0174963i
\(95\) −15.5381 + 2.73979i −1.59418 + 0.281097i
\(96\) −6.15052 0.626146i −0.627735 0.0639058i
\(97\) −2.47531 0.436465i −0.251330 0.0443163i 0.0465636 0.998915i \(-0.485173\pi\)
−0.297894 + 0.954599i \(0.596284\pi\)
\(98\) −1.92503 + 1.12838i −0.194457 + 0.113984i
\(99\) −9.70132 + 3.22235i −0.975019 + 0.323858i
\(100\) −3.00716 5.20855i −0.300716 0.520855i
\(101\) 1.61753 9.17347i 0.160950 0.912795i −0.792192 0.610272i \(-0.791060\pi\)
0.953142 0.302523i \(-0.0978288\pi\)
\(102\) 0.187985 + 2.56778i 0.0186133 + 0.254248i
\(103\) 3.85481 10.5910i 0.379825 1.04356i −0.591603 0.806229i \(-0.701505\pi\)
0.971429 0.237332i \(-0.0762730\pi\)
\(104\) −3.25708 + 2.73301i −0.319383 + 0.267994i
\(105\) 9.36130 9.15950i 0.913569 0.893876i
\(106\) −0.453090 + 0.164911i −0.0440080 + 0.0160176i
\(107\) −5.79854 3.34779i −0.560566 0.323643i 0.192807 0.981237i \(-0.438241\pi\)
−0.753373 + 0.657594i \(0.771574\pi\)
\(108\) 3.78466 + 9.10939i 0.364179 + 0.876552i
\(109\) −8.30492 14.3845i −0.795467 1.37779i −0.922542 0.385896i \(-0.873892\pi\)
0.127076 0.991893i \(-0.459441\pi\)
\(110\) 0.539061 3.05717i 0.0513975 0.291490i
\(111\) −2.19193 + 2.13059i −0.208048 + 0.202227i
\(112\) −8.46477 3.04940i −0.799846 0.288141i
\(113\) 10.4246 1.83814i 0.980666 0.172918i 0.339739 0.940520i \(-0.389661\pi\)
0.640927 + 0.767602i \(0.278550\pi\)
\(114\) −1.32721 + 2.74390i −0.124305 + 0.256990i
\(115\) 3.87016 + 0.682414i 0.360894 + 0.0636354i
\(116\) 15.6249i 1.45074i
\(117\) 9.54200 + 3.78292i 0.882158 + 0.349731i
\(118\) 1.89484 1.09399i 0.174434 0.100710i
\(119\) −2.10241 + 12.1573i −0.192727 + 1.11446i
\(120\) −6.11983 0.623022i −0.558662 0.0568739i
\(121\) −0.468067 + 0.392755i −0.0425516 + 0.0357050i
\(122\) −0.544833 3.08990i −0.0493269 0.279747i
\(123\) 8.35172 3.75115i 0.753050 0.338230i
\(124\) −2.70048 + 3.21831i −0.242511 + 0.289013i
\(125\) 2.61776 + 4.53409i 0.234139 + 0.405541i
\(126\) −0.376722 2.50192i −0.0335610 0.222889i
\(127\) 8.48685 14.6997i 0.753086 1.30438i −0.193234 0.981153i \(-0.561898\pi\)
0.946320 0.323231i \(-0.104769\pi\)
\(128\) 3.05905 + 8.40466i 0.270384 + 0.742874i
\(129\) 8.84584 + 13.0226i 0.778833 + 1.14657i
\(130\) −2.38783 + 2.00363i −0.209427 + 0.175730i
\(131\) −2.77758 15.7524i −0.242678 1.37629i −0.825824 0.563928i \(-0.809290\pi\)
0.583146 0.812367i \(-0.301821\pi\)
\(132\) 7.80937 + 8.03417i 0.679718 + 0.699285i
\(133\) −9.35175 + 11.2198i −0.810900 + 0.972880i
\(134\) 3.05741i 0.264120i
\(135\) 5.69774 + 13.7140i 0.490383 + 1.18032i
\(136\) 5.01850 2.89743i 0.430333 0.248453i
\(137\) −8.37647 + 9.98269i −0.715650 + 0.852879i −0.994200 0.107543i \(-0.965702\pi\)
0.278550 + 0.960422i \(0.410146\pi\)
\(138\) 0.544389 0.529157i 0.0463415 0.0450448i
\(139\) −2.63292 3.13779i −0.223321 0.266144i 0.642737 0.766087i \(-0.277799\pi\)
−0.866058 + 0.499943i \(0.833354\pi\)
\(140\) −13.5051 4.86516i −1.14139 0.411181i
\(141\) 2.31127 4.77835i 0.194644 0.402410i
\(142\) 3.33679 1.21449i 0.280017 0.101918i
\(143\) 11.6588 0.974954
\(144\) 6.77679 7.62596i 0.564732 0.635497i
\(145\) 23.5231i 1.95349i
\(146\) 0.327211 1.85570i 0.0270802 0.153579i
\(147\) 1.14850 12.0698i 0.0947265 0.995503i
\(148\) 3.14830 + 1.14589i 0.258789 + 0.0941913i
\(149\) −0.958803 1.14266i −0.0785482 0.0936101i 0.725339 0.688392i \(-0.241683\pi\)
−0.803887 + 0.594782i \(0.797239\pi\)
\(150\) −1.74018 0.177157i −0.142085 0.0144648i
\(151\) 4.56459 1.66138i 0.371461 0.135201i −0.149542 0.988755i \(-0.547780\pi\)
0.521004 + 0.853554i \(0.325558\pi\)
\(152\) 6.86030 0.556444
\(153\) −11.9121 7.33576i −0.963035 0.593061i
\(154\) −1.44509 2.48404i −0.116448 0.200169i
\(155\) −4.06553 + 4.84511i −0.326551 + 0.389169i
\(156\) −0.821423 11.2202i −0.0657665 0.898338i
\(157\) 14.4796 + 17.2561i 1.15560 + 1.37719i 0.913450 + 0.406951i \(0.133408\pi\)
0.242149 + 0.970239i \(0.422148\pi\)
\(158\) −1.24622 + 3.42397i −0.0991443 + 0.272397i
\(159\) 0.713919 2.52077i 0.0566175 0.199910i
\(160\) 3.48902 + 9.58599i 0.275831 + 0.757839i
\(161\) 3.14462 1.82938i 0.247830 0.144175i
\(162\) 2.79250 + 0.657629i 0.219400 + 0.0516682i
\(163\) −4.81306 + 8.33646i −0.376988 + 0.652962i −0.990622 0.136628i \(-0.956374\pi\)
0.613635 + 0.789590i \(0.289707\pi\)
\(164\) −7.68703 6.45018i −0.600256 0.503675i
\(165\) 11.7569 + 12.0953i 0.915271 + 0.941618i
\(166\) −2.24688 + 0.396186i −0.174392 + 0.0307500i
\(167\) 1.75065 + 9.92841i 0.135469 + 0.768284i 0.974532 + 0.224249i \(0.0719929\pi\)
−0.839063 + 0.544035i \(0.816896\pi\)
\(168\) −4.70009 + 3.21530i −0.362620 + 0.248066i
\(169\) 0.990731 + 0.831322i 0.0762101 + 0.0639479i
\(170\) 3.67917 2.12417i 0.282180 0.162916i
\(171\) −7.87063 14.5721i −0.601882 1.11436i
\(172\) 8.62734 14.9430i 0.657828 1.13939i
\(173\) −9.46890 7.94535i −0.719907 0.604074i 0.207452 0.978245i \(-0.433483\pi\)
−0.927360 + 0.374171i \(0.877927\pi\)
\(174\) 3.68511 + 2.65905i 0.279368 + 0.201582i
\(175\) −7.88594 2.84088i −0.596121 0.214750i
\(176\) 3.96323 10.8889i 0.298740 0.820781i
\(177\) −1.20408 + 11.8275i −0.0905044 + 0.889009i
\(178\) −1.33648 3.67196i −0.100174 0.275225i
\(179\) −13.6692 7.89190i −1.02168 0.589868i −0.107091 0.994249i \(-0.534154\pi\)
−0.914591 + 0.404381i \(0.867487\pi\)
\(180\) 10.8120 12.1668i 0.805881 0.906863i
\(181\) 11.3602 + 6.55879i 0.844393 + 0.487511i 0.858755 0.512386i \(-0.171238\pi\)
−0.0143618 + 0.999897i \(0.504572\pi\)
\(182\) −0.491721 + 2.84341i −0.0364488 + 0.210767i
\(183\) 15.3473 + 7.42342i 1.13450 + 0.548755i
\(184\) −1.60568 0.584420i −0.118372 0.0430840i
\(185\) 4.73971 + 1.72511i 0.348470 + 0.126833i
\(186\) 0.299465 + 1.18459i 0.0219578 + 0.0868587i
\(187\) −15.6485 2.75926i −1.14433 0.201777i
\(188\) −5.81773 −0.424301
\(189\) 12.2220 + 6.29473i 0.889017 + 0.457875i
\(190\) 5.02943 0.364874
\(191\) 17.5029 + 3.08624i 1.26647 + 0.223313i 0.766225 0.642572i \(-0.222133\pi\)
0.500244 + 0.865885i \(0.333244\pi\)
\(192\) −9.43828 2.67306i −0.681149 0.192911i
\(193\) 12.8024 + 4.65969i 0.921537 + 0.335412i 0.758850 0.651266i \(-0.225762\pi\)
0.162687 + 0.986678i \(0.447984\pi\)
\(194\) 0.752899 + 0.274033i 0.0540550 + 0.0196744i
\(195\) −1.23664 16.8919i −0.0885575 1.20965i
\(196\) −12.4571 + 4.62715i −0.889793 + 0.330510i
\(197\) 7.98620 + 4.61083i 0.568993 + 0.328508i 0.756747 0.653708i \(-0.226787\pi\)
−0.187754 + 0.982216i \(0.560121\pi\)
\(198\) 3.22384 0.474572i 0.229108 0.0337263i
\(199\) −0.232253 0.134091i −0.0164640 0.00950548i 0.491745 0.870739i \(-0.336359\pi\)
−0.508209 + 0.861234i \(0.669692\pi\)
\(200\) 1.34651 + 3.69951i 0.0952126 + 0.261595i
\(201\) −13.4718 9.72081i −0.950230 0.685653i
\(202\) −1.01556 + 2.79023i −0.0714546 + 0.196320i
\(203\) 14.0523 + 16.6354i 0.986281 + 1.16757i
\(204\) −1.55295 + 15.2543i −0.108728 + 1.06802i
\(205\) −11.5727 9.71064i −0.808272 0.678221i
\(206\) −1.79636 + 3.11138i −0.125158 + 0.216780i
\(207\) 0.600774 + 4.08115i 0.0417567 + 0.283660i
\(208\) −10.0765 + 5.81768i −0.698680 + 0.403383i
\(209\) −14.4104 12.0917i −0.996787 0.836404i
\(210\) −3.44574 + 2.35720i −0.237778 + 0.162663i
\(211\) −2.27165 12.8832i −0.156387 0.886914i −0.957507 0.288410i \(-0.906873\pi\)
0.801120 0.598503i \(-0.204238\pi\)
\(212\) −2.82789 + 0.498634i −0.194221 + 0.0342463i
\(213\) −5.25768 + 18.5643i −0.360250 + 1.27200i
\(214\) 1.63499 + 1.37192i 0.111765 + 0.0937822i
\(215\) 12.9883 22.4964i 0.885795 1.53424i
\(216\) −1.40432 6.30256i −0.0955519 0.428835i
\(217\) 0.0192796 + 5.85512i 0.00130878 + 0.397471i
\(218\) 1.81088 + 4.97534i 0.122648 + 0.336973i
\(219\) 7.13643 + 7.34186i 0.482236 + 0.496117i
\(220\) 6.32314 17.3727i 0.426306 1.17127i
\(221\) 10.2558 + 12.2224i 0.689882 + 0.822170i
\(222\) 0.806031 0.547513i 0.0540973 0.0367467i
\(223\) 9.50475 11.3273i 0.636485 0.758534i −0.347325 0.937745i \(-0.612910\pi\)
0.983811 + 0.179211i \(0.0573545\pi\)
\(224\) 8.19393 + 4.69486i 0.547480 + 0.313689i
\(225\) 6.31338 7.10449i 0.420892 0.473633i
\(226\) −3.37428 −0.224454
\(227\) −8.61703 + 3.13634i −0.571933 + 0.208166i −0.611764 0.791040i \(-0.709540\pi\)
0.0398319 + 0.999206i \(0.487318\pi\)
\(228\) −10.6217 + 14.7203i −0.703436 + 0.974875i
\(229\) 8.22374 + 9.80068i 0.543440 + 0.647647i 0.965955 0.258709i \(-0.0832971\pi\)
−0.422515 + 0.906356i \(0.638853\pi\)
\(230\) −1.17716 0.428451i −0.0776196 0.0282512i
\(231\) 15.5399 + 1.53034i 1.02245 + 0.100689i
\(232\) 1.77607 10.0726i 0.116605 0.661299i
\(233\) 17.0668i 1.11808i 0.829140 + 0.559042i \(0.188831\pi\)
−0.829140 + 0.559042i \(0.811169\pi\)
\(234\) −2.78606 1.71572i −0.182130 0.112160i
\(235\) −8.75849 −0.571341
\(236\) 12.2445 4.45664i 0.797050 0.290103i
\(237\) −11.1248 16.3775i −0.722630 1.06383i
\(238\) 1.33294 3.70008i 0.0864015 0.239841i
\(239\) −4.33839 5.17029i −0.280627 0.334438i 0.607257 0.794505i \(-0.292270\pi\)
−0.887884 + 0.460067i \(0.847825\pi\)
\(240\) −16.1968 4.58718i −1.04550 0.296101i
\(241\) −1.80490 + 2.15100i −0.116264 + 0.138558i −0.821037 0.570875i \(-0.806604\pi\)
0.704773 + 0.709432i \(0.251049\pi\)
\(242\) 0.168677 0.0973859i 0.0108430 0.00626021i
\(243\) −11.7763 + 10.2137i −0.755448 + 0.655209i
\(244\) 18.6856i 1.19622i
\(245\) −18.7540 + 6.96609i −1.19815 + 0.445047i
\(246\) −2.82944 + 0.715280i −0.180398 + 0.0456046i
\(247\) 3.28000 + 18.6018i 0.208701 + 1.18360i
\(248\) 2.10669 1.76772i 0.133775 0.112250i
\(249\) 5.39808 11.1601i 0.342090 0.707240i
\(250\) −0.570798 1.56826i −0.0361005 0.0991852i
\(251\) 11.4184 19.7772i 0.720720 1.24832i −0.239992 0.970775i \(-0.577145\pi\)
0.960712 0.277549i \(-0.0895220\pi\)
\(252\) 0.377908 15.0633i 0.0238059 0.948896i
\(253\) 2.34273 + 4.05772i 0.147286 + 0.255107i
\(254\) −3.47789 + 4.14479i −0.218222 + 0.260067i
\(255\) −2.33794 + 22.9651i −0.146407 + 1.43813i
\(256\) 1.47184 + 8.34721i 0.0919899 + 0.521701i
\(257\) −9.59035 + 8.04726i −0.598229 + 0.501974i −0.890876 0.454247i \(-0.849908\pi\)
0.292647 + 0.956221i \(0.405464\pi\)
\(258\) −2.05607 4.57773i −0.128006 0.284997i
\(259\) 4.38245 1.61144i 0.272312 0.100130i
\(260\) −16.0766 + 9.28182i −0.997027 + 0.575634i
\(261\) −23.4331 + 7.78343i −1.45047 + 0.481782i
\(262\) 5.09880i 0.315005i
\(263\) −12.5268 2.20881i −0.772435 0.136201i −0.226480 0.974016i \(-0.572722\pi\)
−0.545955 + 0.837815i \(0.683833\pi\)
\(264\) −4.12107 6.06690i −0.253634 0.373392i
\(265\) −4.25735 + 0.750685i −0.261527 + 0.0461142i
\(266\) 3.55678 3.00451i 0.218080 0.184218i
\(267\) 20.4290 + 5.78578i 1.25023 + 0.354084i
\(268\) −3.16182 + 17.9316i −0.193139 + 1.09534i
\(269\) −9.79421 16.9641i −0.597163 1.03432i −0.993238 0.116099i \(-0.962961\pi\)
0.396074 0.918218i \(-0.370372\pi\)
\(270\) −1.02954 4.62054i −0.0626556 0.281197i
\(271\) 16.1584 + 9.32907i 0.981555 + 0.566701i 0.902739 0.430188i \(-0.141553\pi\)
0.0788154 + 0.996889i \(0.474886\pi\)
\(272\) 14.9017 5.42376i 0.903546 0.328864i
\(273\) −10.9655 11.2071i −0.663662 0.678283i
\(274\) 3.18214 2.67013i 0.192240 0.161309i
\(275\) 3.69222 10.1443i 0.222649 0.611724i
\(276\) 3.74004 2.54050i 0.225124 0.152920i
\(277\) −0.463675 + 2.62963i −0.0278595 + 0.157999i −0.995564 0.0940890i \(-0.970006\pi\)
0.967704 + 0.252088i \(0.0811173\pi\)
\(278\) 0.652848 + 1.13077i 0.0391552 + 0.0678188i
\(279\) −6.17179 2.44680i −0.369496 0.146486i
\(280\) 8.15305 + 4.67144i 0.487238 + 0.279172i
\(281\) 17.0926 + 3.01388i 1.01966 + 0.179793i 0.658396 0.752672i \(-0.271235\pi\)
0.361261 + 0.932465i \(0.382346\pi\)
\(282\) −0.990058 + 1.37210i −0.0589571 + 0.0817073i
\(283\) 1.07644 0.189805i 0.0639875 0.0112827i −0.141563 0.989929i \(-0.545213\pi\)
0.205550 + 0.978647i \(0.434102\pi\)
\(284\) 20.8261 3.67221i 1.23580 0.217905i
\(285\) −15.9907 + 22.1612i −0.947208 + 1.31271i
\(286\) −3.65995 0.645349i −0.216418 0.0381603i
\(287\) −13.9851 + 0.0460498i −0.825516 + 0.00271823i
\(288\) −8.39485 + 6.64752i −0.494671 + 0.391709i
\(289\) −2.37284 4.10988i −0.139579 0.241758i
\(290\) 1.30208 7.38444i 0.0764606 0.433629i
\(291\) −3.60125 + 2.44623i −0.211109 + 0.143400i
\(292\) 3.83815 10.5452i 0.224611 0.617113i
\(293\) 16.1311 13.5356i 0.942391 0.790760i −0.0356088 0.999366i \(-0.511337\pi\)
0.978000 + 0.208606i \(0.0668926\pi\)
\(294\) −1.02864 + 3.72543i −0.0599917 + 0.217271i
\(295\) 18.4339 6.70940i 1.07326 0.390636i
\(296\) −1.89930 1.09656i −0.110394 0.0637362i
\(297\) −8.15885 + 15.7140i −0.473424 + 0.911820i
\(298\) 0.237741 + 0.411779i 0.0137720 + 0.0238537i
\(299\) 0.816966 4.63324i 0.0472464 0.267947i
\(300\) −10.0229 2.83863i −0.578671 0.163888i
\(301\) −4.25377 23.6683i −0.245183 1.36422i
\(302\) −1.52489 + 0.268880i −0.0877478 + 0.0154723i
\(303\) −9.06567 13.3462i −0.520809 0.766718i
\(304\) 18.4884 + 3.26001i 1.06039 + 0.186974i
\(305\) 28.1308i 1.61077i
\(306\) 3.33342 + 2.96224i 0.190559 + 0.169340i
\(307\) −19.7567 + 11.4065i −1.12757 + 0.651004i −0.943323 0.331876i \(-0.892318\pi\)
−0.184249 + 0.982880i \(0.558985\pi\)
\(308\) −5.90650 16.0632i −0.336554 0.915285i
\(309\) −7.99827 17.8077i −0.455006 1.01304i
\(310\) 1.54446 1.29595i 0.0877193 0.0736052i
\(311\) −3.90921 22.1702i −0.221671 1.25716i −0.868948 0.494903i \(-0.835204\pi\)
0.647277 0.762255i \(-0.275908\pi\)
\(312\) −0.745864 + 7.32649i −0.0422262 + 0.414781i
\(313\) −0.907448 + 1.08145i −0.0512920 + 0.0611274i −0.791080 0.611712i \(-0.790481\pi\)
0.739788 + 0.672839i \(0.234926\pi\)
\(314\) −3.59031 6.21859i −0.202613 0.350935i
\(315\) 0.568934 22.6775i 0.0320558 1.27773i
\(316\) −10.8500 + 18.7927i −0.610358 + 1.05717i
\(317\) −2.34444 6.44131i −0.131677 0.361780i 0.856279 0.516513i \(-0.172770\pi\)
−0.987956 + 0.154733i \(0.950548\pi\)
\(318\) −0.363648 + 0.751810i −0.0203924 + 0.0421594i
\(319\) −21.4844 + 18.0275i −1.20289 + 1.00935i
\(320\) 2.81072 + 15.9404i 0.157124 + 0.891095i
\(321\) −11.2434 + 2.84232i −0.627544 + 0.158643i
\(322\) −1.08843 + 0.400219i −0.0606558 + 0.0223034i
\(323\) 25.7438i 1.43242i
\(324\) 15.6978 + 6.74483i 0.872101 + 0.374713i
\(325\) −9.38747 + 5.41986i −0.520723 + 0.300640i
\(326\) 1.97238 2.35059i 0.109240 0.130187i
\(327\) −27.6804 7.83948i −1.53073 0.433524i
\(328\) 4.22225 + 5.03188i 0.233135 + 0.277839i
\(329\) −6.19394 + 5.23219i −0.341483 + 0.288460i
\(330\) −3.02124 4.44778i −0.166314 0.244842i
\(331\) −2.79664 + 1.01790i −0.153717 + 0.0559486i −0.417733 0.908570i \(-0.637175\pi\)
0.264015 + 0.964518i \(0.414953\pi\)
\(332\) −13.5876 −0.745715
\(333\) −0.150215 + 5.29238i −0.00823171 + 0.290021i
\(334\) 3.21366i 0.175844i
\(335\) −4.76007 + 26.9957i −0.260070 + 1.47493i
\(336\) −14.1946 + 6.43171i −0.774379 + 0.350879i
\(337\) 23.6884 + 8.62186i 1.29039 + 0.469663i 0.893854 0.448357i \(-0.147991\pi\)
0.396534 + 0.918020i \(0.370213\pi\)
\(338\) −0.264997 0.315811i −0.0144139 0.0171779i
\(339\) 10.7283 14.8681i 0.582680 0.807522i
\(340\) 23.7749 8.65335i 1.28937 0.469294i
\(341\) −7.54092 −0.408364
\(342\) 1.66416 + 5.01019i 0.0899876 + 0.270920i
\(343\) −9.10124 + 16.1297i −0.491421 + 0.870922i
\(344\) −7.26016 + 8.65232i −0.391442 + 0.466502i
\(345\) 5.63057 3.82468i 0.303140 0.205914i
\(346\) 2.53271 + 3.01836i 0.136159 + 0.162268i
\(347\) 0.787258 2.16297i 0.0422622 0.116114i −0.916766 0.399424i \(-0.869210\pi\)
0.959029 + 0.283310i \(0.0914324\pi\)
\(348\) 18.8632 + 19.4061i 1.01117 + 1.04028i
\(349\) −2.39148 6.57053i −0.128013 0.351712i 0.859084 0.511834i \(-0.171034\pi\)
−0.987097 + 0.160121i \(0.948811\pi\)
\(350\) 2.31833 + 1.32833i 0.123920 + 0.0710022i
\(351\) 16.4180 6.82117i 0.876331 0.364087i
\(352\) −6.08129 + 10.5331i −0.324134 + 0.561416i
\(353\) 16.9198 + 14.1974i 0.900550 + 0.755651i 0.970298 0.241914i \(-0.0777751\pi\)
−0.0697482 + 0.997565i \(0.522220\pi\)
\(354\) 1.03268 3.64627i 0.0548862 0.193797i
\(355\) 31.3534 5.52844i 1.66406 0.293419i
\(356\) −4.04106 22.9180i −0.214176 1.21465i
\(357\) 12.0657 + 17.6374i 0.638582 + 0.933472i
\(358\) 3.85423 + 3.23408i 0.203702 + 0.170926i
\(359\) −28.2380 + 16.3032i −1.49035 + 0.860451i −0.999939 0.0110424i \(-0.996485\pi\)
−0.490407 + 0.871494i \(0.663152\pi\)
\(360\) −8.35296 + 6.61435i −0.440240 + 0.348607i
\(361\) 5.73852 9.93941i 0.302027 0.523127i
\(362\) −3.20317 2.68777i −0.168355 0.141266i
\(363\) −0.107186 + 1.05287i −0.00562583 + 0.0552615i
\(364\) −5.82443 + 16.1679i −0.305283 + 0.847431i
\(365\) 5.77827 15.8757i 0.302449 0.830971i
\(366\) −4.40695 3.17990i −0.230355 0.166216i
\(367\) −1.45484 3.99714i −0.0759420 0.208649i 0.895913 0.444230i \(-0.146523\pi\)
−0.971855 + 0.235581i \(0.924301\pi\)
\(368\) −4.04958 2.33803i −0.211099 0.121878i
\(369\) 5.84426 14.7415i 0.304240 0.767412i
\(370\) −1.39241 0.803911i −0.0723882 0.0417933i
\(371\) −2.56232 + 3.07415i −0.133029 + 0.159602i
\(372\) 0.531299 + 7.25728i 0.0275466 + 0.376273i
\(373\) 22.9007 + 8.33516i 1.18575 + 0.431578i 0.858230 0.513266i \(-0.171564\pi\)
0.327521 + 0.944844i \(0.393787\pi\)
\(374\) 4.75970 + 1.73239i 0.246118 + 0.0895797i
\(375\) 8.72500 + 2.47105i 0.450557 + 0.127604i
\(376\) 3.75039 + 0.661295i 0.193412 + 0.0341037i
\(377\) 28.1612 1.45037
\(378\) −3.48832 2.65259i −0.179420 0.136434i
\(379\) −17.8518 −0.916987 −0.458493 0.888698i \(-0.651611\pi\)
−0.458493 + 0.888698i \(0.651611\pi\)
\(380\) 29.4974 + 5.20119i 1.51319 + 0.266815i
\(381\) −7.20545 28.5027i −0.369147 1.46024i
\(382\) −5.32375 1.93769i −0.272387 0.0991406i
\(383\) 25.7206 + 9.36155i 1.31426 + 0.478353i 0.901616 0.432538i \(-0.142382\pi\)
0.412648 + 0.910891i \(0.364604\pi\)
\(384\) 13.9458 + 6.74555i 0.711670 + 0.344232i
\(385\) −8.89213 24.1829i −0.453185 1.23247i
\(386\) −3.76104 2.17144i −0.191432 0.110523i
\(387\) 26.7079 + 5.49489i 1.35764 + 0.279321i
\(388\) 4.13233 + 2.38580i 0.209787 + 0.121121i
\(389\) 5.57461 + 15.3161i 0.282644 + 0.776558i 0.997045 + 0.0768211i \(0.0244770\pi\)
−0.714401 + 0.699736i \(0.753301\pi\)
\(390\) −0.546809 + 5.37120i −0.0276887 + 0.271981i
\(391\) −2.19308 + 6.02544i −0.110909 + 0.304720i
\(392\) 8.55643 1.56690i 0.432165 0.0791403i
\(393\) −22.4668 16.2112i −1.13330 0.817749i
\(394\) −2.25183 1.88951i −0.113446 0.0951921i
\(395\) −16.3344 + 28.2920i −0.821874 + 1.42353i
\(396\) 19.3984 + 0.550589i 0.974808 + 0.0276681i
\(397\) 3.94601 2.27823i 0.198045 0.114341i −0.397698 0.917516i \(-0.630191\pi\)
0.595743 + 0.803175i \(0.296858\pi\)
\(398\) 0.0654872 + 0.0549503i 0.00328258 + 0.00275441i
\(399\) 1.93021 + 25.2248i 0.0966314 + 1.26282i
\(400\) 1.87083 + 10.6100i 0.0935414 + 0.530499i
\(401\) −37.1238 + 6.54593i −1.85388 + 0.326888i −0.985587 0.169170i \(-0.945891\pi\)
−0.868289 + 0.496059i \(0.834780\pi\)
\(402\) 3.69104 + 3.79729i 0.184093 + 0.189392i
\(403\) 5.80043 + 4.86714i 0.288940 + 0.242449i
\(404\) −8.84173 + 15.3143i −0.439893 + 0.761916i
\(405\) 23.6328 + 10.1542i 1.17432 + 0.504568i
\(406\) −3.49053 6.00007i −0.173232 0.297778i
\(407\) 2.05680 + 5.65101i 0.101952 + 0.280110i
\(408\) 2.73505 9.65717i 0.135405 0.478101i
\(409\) −0.342534 + 0.941105i −0.0169372 + 0.0465347i −0.947873 0.318648i \(-0.896771\pi\)
0.930936 + 0.365183i \(0.118993\pi\)
\(410\) 3.09542 + 3.68898i 0.152872 + 0.182186i
\(411\) 1.64800 + 22.5109i 0.0812901 + 1.11038i
\(412\) −13.7532 + 16.3904i −0.677571 + 0.807498i
\(413\) 9.02825 15.7570i 0.444251 0.775350i
\(414\) 0.0373075 1.31442i 0.00183356 0.0646003i
\(415\) −20.4559 −1.00414
\(416\) 11.4761 4.17695i 0.562661 0.204792i
\(417\) −7.05817 0.718548i −0.345640 0.0351874i
\(418\) 3.85444 + 4.59354i 0.188527 + 0.224677i
\(419\) 2.20646 + 0.803084i 0.107792 + 0.0392332i 0.395353 0.918529i \(-0.370622\pi\)
−0.287561 + 0.957762i \(0.592844\pi\)
\(420\) −22.6468 + 10.2615i −1.10505 + 0.500709i
\(421\) 1.14047 6.46793i 0.0555831 0.315228i −0.944322 0.329024i \(-0.893280\pi\)
0.999905 + 0.0137960i \(0.00439155\pi\)
\(422\) 4.17007i 0.202996i
\(423\) −2.89805 8.72497i −0.140908 0.424223i
\(424\) 1.87968 0.0912853
\(425\) 13.8827 5.05288i 0.673409 0.245101i
\(426\) 2.67810 5.53673i 0.129754 0.268255i
\(427\) −16.8049 19.8939i −0.813247 0.962734i
\(428\) 8.17035 + 9.73704i 0.394929 + 0.470658i
\(429\) 14.4801 14.0750i 0.699108 0.679547i
\(430\) −5.32258 + 6.34320i −0.256677 + 0.305896i
\(431\) −13.3456 + 7.70506i −0.642833 + 0.371140i −0.785705 0.618602i \(-0.787700\pi\)
0.142872 + 0.989741i \(0.454366\pi\)
\(432\) −0.789656 17.6527i −0.0379923 0.849314i
\(433\) 9.87188i 0.474412i −0.971459 0.237206i \(-0.923768\pi\)
0.971459 0.237206i \(-0.0762317\pi\)
\(434\) 0.318047 1.83912i 0.0152667 0.0882808i
\(435\) 28.3982 + 29.2156i 1.36159 + 1.40078i
\(436\) 5.47546 + 31.0529i 0.262227 + 1.48716i
\(437\) −5.81510 + 4.87945i −0.278174 + 0.233416i
\(438\) −1.83390 2.69980i −0.0876270 0.129002i
\(439\) −12.0752 33.1763i −0.576317 1.58342i −0.794339 0.607475i \(-0.792182\pi\)
0.218021 0.975944i \(-0.430040\pi\)
\(440\) −6.05094 + 10.4805i −0.288467 + 0.499640i
\(441\) −13.1448 16.3772i −0.625944 0.779868i
\(442\) −2.54299 4.40460i −0.120958 0.209505i
\(443\) 2.86061 3.40914i 0.135912 0.161973i −0.693796 0.720172i \(-0.744063\pi\)
0.829707 + 0.558199i \(0.188507\pi\)
\(444\) 5.29355 2.37758i 0.251221 0.112835i
\(445\) −6.08375 34.5026i −0.288397 1.63558i
\(446\) −3.61076 + 3.02979i −0.170975 + 0.143465i
\(447\) −2.57030 0.261666i −0.121571 0.0123764i
\(448\) 11.5103 + 9.59385i 0.543809 + 0.453267i
\(449\) 4.96216 2.86491i 0.234179 0.135203i −0.378319 0.925675i \(-0.623498\pi\)
0.612498 + 0.790472i \(0.290165\pi\)
\(450\) −2.37517 + 1.88080i −0.111967 + 0.0886617i
\(451\) 18.0117i 0.848138i
\(452\) −19.7900 3.48951i −0.930843 0.164133i
\(453\) 3.66353 7.57401i 0.172127 0.355858i
\(454\) 2.87869 0.507591i 0.135104 0.0238224i
\(455\) −8.76859 + 24.3406i −0.411078 + 1.14110i
\(456\) 8.52048 8.28207i 0.399008 0.387844i
\(457\) 7.09654 40.2465i 0.331962 1.88265i −0.123422 0.992354i \(-0.539387\pi\)
0.455384 0.890295i \(-0.349502\pi\)
\(458\) −2.03913 3.53187i −0.0952821 0.165033i
\(459\) −23.6508 + 5.26982i −1.10393 + 0.245974i
\(460\) −6.46090 3.73020i −0.301241 0.173922i
\(461\) −25.5016 + 9.28183i −1.18773 + 0.432298i −0.858925 0.512101i \(-0.828867\pi\)
−0.328803 + 0.944399i \(0.606645\pi\)
\(462\) −4.79363 1.34059i −0.223020 0.0623700i
\(463\) −9.76642 + 8.19500i −0.453884 + 0.380854i −0.840875 0.541230i \(-0.817959\pi\)
0.386991 + 0.922084i \(0.373515\pi\)
\(464\) 9.57299 26.3016i 0.444415 1.22102i
\(465\) 0.799861 + 10.9257i 0.0370927 + 0.506668i
\(466\) 0.944701 5.35766i 0.0437624 0.248189i
\(467\) 11.2722 + 19.5239i 0.521613 + 0.903460i 0.999684 + 0.0251391i \(0.00800286\pi\)
−0.478071 + 0.878321i \(0.658664\pi\)
\(468\) −14.5658 12.9438i −0.673304 0.598330i
\(469\) 12.7605 + 21.9347i 0.589226 + 1.01285i
\(470\) 2.74949 + 0.484810i 0.126825 + 0.0223626i
\(471\) 38.8160 + 3.95162i 1.78855 + 0.182081i
\(472\) −8.40000 + 1.48115i −0.386641 + 0.0681753i
\(473\) 30.5006 5.37808i 1.40242 0.247284i
\(474\) 2.58577 + 5.75707i 0.118768 + 0.264431i
\(475\) 17.2242 + 3.03709i 0.790300 + 0.139351i
\(476\) 11.6441 20.3223i 0.533704 0.931473i
\(477\) −2.15650 3.99267i −0.0987395 0.182812i
\(478\) 1.07573 + 1.86322i 0.0492027 + 0.0852215i
\(479\) −5.66597 + 32.1333i −0.258885 + 1.46821i 0.527016 + 0.849856i \(0.323311\pi\)
−0.785901 + 0.618353i \(0.787800\pi\)
\(480\) 15.9060 + 7.69368i 0.726006 + 0.351167i
\(481\) 2.06526 5.67424i 0.0941676 0.258723i
\(482\) 0.685664 0.575340i 0.0312311 0.0262060i
\(483\) 1.69710 6.06840i 0.0772206 0.276122i
\(484\) 1.09000 0.396726i 0.0495453 0.0180330i
\(485\) 6.22115 + 3.59178i 0.282488 + 0.163094i
\(486\) 4.26220 2.55446i 0.193337 0.115873i
\(487\) 3.41485 + 5.91469i 0.154741 + 0.268020i 0.932965 0.359967i \(-0.117212\pi\)
−0.778223 + 0.627988i \(0.783879\pi\)
\(488\) −2.12397 + 12.0456i −0.0961476 + 0.545280i
\(489\) 4.08635 + 16.1644i 0.184791 + 0.730980i
\(490\) 6.27290 1.14873i 0.283381 0.0518942i
\(491\) −2.93823 + 0.518089i −0.132601 + 0.0233810i −0.239554 0.970883i \(-0.577001\pi\)
0.106954 + 0.994264i \(0.465890\pi\)
\(492\) −17.3342 + 1.26902i −0.781487 + 0.0572120i
\(493\) −37.7982 6.66485i −1.70235 0.300170i
\(494\) 6.02109i 0.270902i
\(495\) 29.2040 + 0.828902i 1.31262 + 0.0372564i
\(496\) 6.51752 3.76289i 0.292645 0.168959i
\(497\) 18.8703 22.6397i 0.846447 1.01553i
\(498\) −2.31233 + 3.20460i −0.103618 + 0.143602i
\(499\) 23.4393 19.6679i 1.04929 0.880457i 0.0562697 0.998416i \(-0.482079\pi\)
0.993019 + 0.117958i \(0.0376349\pi\)
\(500\) −1.72589 9.78804i −0.0771844 0.437734i
\(501\) 14.1603 + 10.2176i 0.632637 + 0.456489i
\(502\) −4.67921 + 5.57647i −0.208843 + 0.248890i
\(503\) −4.53519 7.85518i −0.202214 0.350245i 0.747027 0.664793i \(-0.231480\pi\)
−0.949242 + 0.314548i \(0.898147\pi\)
\(504\) −1.95584 + 9.66755i −0.0871202 + 0.430627i
\(505\) −13.3111 + 23.0555i −0.592335 + 1.02595i
\(506\) −0.510829 1.40349i −0.0227091 0.0623928i
\(507\) 2.23410 0.163556i 0.0992197 0.00726378i
\(508\) −24.6840 + 20.7123i −1.09518 + 0.918962i
\(509\) −1.29588 7.34928i −0.0574387 0.325751i 0.942526 0.334132i \(-0.108443\pi\)
−0.999965 + 0.00838120i \(0.997332\pi\)
\(510\) 2.00513 7.07988i 0.0887884 0.313502i
\(511\) −5.39753 14.6790i −0.238773 0.649362i
\(512\) 20.5900i 0.909956i
\(513\) −27.3674 8.59674i −1.20830 0.379555i
\(514\) 3.45607 1.99536i 0.152441 0.0880117i
\(515\) −20.7052 + 24.6755i −0.912380 + 1.08733i
\(516\) −7.32473 28.9745i −0.322453 1.27553i
\(517\) −6.71229 7.99940i −0.295206 0.351813i
\(518\) −1.46495 + 0.263287i −0.0643662 + 0.0115682i
\(519\) −21.3523 + 1.56318i −0.937264 + 0.0686162i
\(520\) 11.4188 4.15611i 0.500748 0.182257i
\(521\) 15.7598 0.690450 0.345225 0.938520i \(-0.387803\pi\)
0.345225 + 0.938520i \(0.387803\pi\)
\(522\) 7.78702 1.14630i 0.340829 0.0501724i
\(523\) 5.63241i 0.246288i 0.992389 + 0.123144i \(0.0392977\pi\)
−0.992389 + 0.123144i \(0.960702\pi\)
\(524\) −5.27292 + 29.9042i −0.230348 + 1.30637i
\(525\) −13.2240 + 5.99191i −0.577141 + 0.261508i
\(526\) 3.81019 + 1.38679i 0.166132 + 0.0604671i
\(527\) −6.63351 7.90550i −0.288960 0.344369i
\(528\) −8.22324 18.3086i −0.357871 0.796778i
\(529\) −19.8362 + 7.21979i −0.862444 + 0.313904i
\(530\) 1.37803 0.0598579
\(531\) 12.7832 + 16.1433i 0.554744 + 0.700561i
\(532\) 23.9675 13.9431i 1.03912 0.604508i
\(533\) −11.6253 + 13.8545i −0.503548 + 0.600105i
\(534\) −6.09286 2.94710i −0.263664 0.127533i
\(535\) 12.3003 + 14.6590i 0.531789 + 0.633762i
\(536\) 4.07653 11.2002i 0.176079 0.483774i
\(537\) −26.5045 + 6.70033i −1.14375 + 0.289141i
\(538\) 2.13561 + 5.86755i 0.0920729 + 0.252968i
\(539\) −20.7349 11.7899i −0.893117 0.507829i
\(540\) −1.25986 28.1640i −0.0542156 1.21198i
\(541\) −0.446747 + 0.773788i −0.0192071 + 0.0332677i −0.875469 0.483274i \(-0.839448\pi\)
0.856262 + 0.516542i \(0.172781\pi\)
\(542\) −4.55611 3.82303i −0.195702 0.164213i
\(543\) 22.0273 5.56850i 0.945284 0.238967i
\(544\) −16.3919 + 2.89033i −0.702795 + 0.123922i
\(545\) 8.24321 + 46.7496i 0.353100 + 2.00253i
\(546\) 2.82198 + 4.12513i 0.120769 + 0.176539i
\(547\) 4.87449 + 4.09018i 0.208418 + 0.174884i 0.741021 0.671481i \(-0.234342\pi\)
−0.532603 + 0.846365i \(0.678786\pi\)
\(548\) 21.4244 12.3694i 0.915207 0.528395i
\(549\) 28.0232 9.30805i 1.19600 0.397258i
\(550\) −1.72059 + 2.98015i −0.0733663 + 0.127074i
\(551\) −34.8076 29.2070i −1.48285 1.24426i
\(552\) −2.69979 + 1.21260i −0.114911 + 0.0516118i
\(553\) 5.34965 + 29.7659i 0.227490 + 1.26577i
\(554\) 0.291117 0.799836i 0.0123684 0.0339818i
\(555\) 7.96934 3.57941i 0.338280 0.151937i
\(556\) 2.65954 + 7.30703i 0.112790 + 0.309887i
\(557\) −14.9657 8.64047i −0.634119 0.366109i 0.148227 0.988953i \(-0.452643\pi\)
−0.782345 + 0.622845i \(0.785977\pi\)
\(558\) 1.80203 + 1.10974i 0.0762860 + 0.0469789i
\(559\) −26.9320 15.5492i −1.13910 0.657662i
\(560\) 19.7525 + 16.4638i 0.834696 + 0.695722i
\(561\) −22.7665 + 15.4646i −0.961203 + 0.652917i
\(562\) −5.19892 1.89225i −0.219303 0.0798199i
\(563\) −1.75211 0.637716i −0.0738426 0.0268765i 0.304835 0.952405i \(-0.401399\pi\)
−0.378677 + 0.925529i \(0.623621\pi\)
\(564\) −7.22560 + 7.02342i −0.304253 + 0.295740i
\(565\) −29.7935 5.25340i −1.25342 0.221012i
\(566\) −0.348424 −0.0146454
\(567\) 22.7789 6.93687i 0.956625 0.291321i
\(568\) −13.8429 −0.580837
\(569\) −25.3007 4.46119i −1.06066 0.187023i −0.384010 0.923329i \(-0.625457\pi\)
−0.676648 + 0.736306i \(0.736568\pi\)
\(570\) 6.24655 6.07176i 0.261639 0.254318i
\(571\) 2.05601 + 0.748326i 0.0860413 + 0.0313165i 0.384682 0.923049i \(-0.374311\pi\)
−0.298641 + 0.954366i \(0.596533\pi\)
\(572\) −20.7981 7.56988i −0.869611 0.316513i
\(573\) 25.4645 17.2973i 1.06379 0.722603i
\(574\) 4.39280 + 0.759664i 0.183352 + 0.0317078i
\(575\) −3.77267 2.17815i −0.157331 0.0908351i
\(576\) −14.9494 + 8.07439i −0.622890 + 0.336433i
\(577\) 12.3597 + 7.13589i 0.514542 + 0.297071i 0.734699 0.678394i \(-0.237324\pi\)
−0.220157 + 0.975464i \(0.570657\pi\)
\(578\) 0.517395 + 1.42153i 0.0215208 + 0.0591279i
\(579\) 21.5259 9.66832i 0.894588 0.401802i
\(580\) 15.2732 41.9629i 0.634187 1.74241i
\(581\) −14.4662 + 12.2200i −0.600161 + 0.506972i
\(582\) 1.26592 0.568586i 0.0524742 0.0235686i
\(583\) −3.94835 3.31306i −0.163524 0.137213i
\(584\) −3.67293 + 6.36170i −0.151987 + 0.263249i
\(585\) −21.9286 19.4867i −0.906634 0.805678i
\(586\) −5.81318 + 3.35624i −0.240140 + 0.138645i
\(587\) −20.9075 17.5435i −0.862947 0.724098i 0.0996541 0.995022i \(-0.468226\pi\)
−0.962601 + 0.270924i \(0.912671\pi\)
\(588\) −9.88559 + 20.7857i −0.407675 + 0.857188i
\(589\) −2.12151 12.0317i −0.0874154 0.495757i
\(590\) −6.15822 + 1.08586i −0.253530 + 0.0447042i
\(591\) 15.4853 3.91466i 0.636978 0.161028i
\(592\) −4.59750 3.85776i −0.188956 0.158553i
\(593\) −9.81715 + 17.0038i −0.403142 + 0.698262i −0.994103 0.108438i \(-0.965415\pi\)
0.590961 + 0.806700i \(0.298749\pi\)
\(594\) 3.43107 4.48138i 0.140779 0.183873i
\(595\) 17.5299 30.5949i 0.718657 1.25427i
\(596\) 0.968498 + 2.66093i 0.0396712 + 0.108996i
\(597\) −0.450339 + 0.113845i −0.0184311 + 0.00465938i
\(598\) −0.512929 + 1.40926i −0.0209752 + 0.0576290i
\(599\) 12.4046 + 14.7832i 0.506837 + 0.604025i 0.957416 0.288712i \(-0.0932269\pi\)
−0.450579 + 0.892737i \(0.648782\pi\)
\(600\) 6.13858 + 2.96921i 0.250606 + 0.121217i
\(601\) −13.5997 + 16.2075i −0.554743 + 0.661116i −0.968425 0.249305i \(-0.919798\pi\)
0.413683 + 0.910421i \(0.364242\pi\)
\(602\) 0.0252407 + 7.66549i 0.00102873 + 0.312422i
\(603\) −28.4674 + 4.19060i −1.15928 + 0.170654i
\(604\) −9.22150 −0.375217
\(605\) 1.64097 0.597265i 0.0667150 0.0242823i
\(606\) 2.10717 + 4.69149i 0.0855979 + 0.190579i
\(607\) −9.60228 11.4436i −0.389745 0.464480i 0.535120 0.844776i \(-0.320266\pi\)
−0.924865 + 0.380296i \(0.875822\pi\)
\(608\) −18.5167 6.73951i −0.750949 0.273323i
\(609\) 37.5360 + 3.69647i 1.52103 + 0.149788i
\(610\) −1.55713 + 8.83091i −0.0630463 + 0.357553i
\(611\) 10.4854i 0.424194i
\(612\) 16.4870 + 20.8206i 0.666446 + 0.841624i
\(613\) 5.58886 0.225732 0.112866 0.993610i \(-0.463997\pi\)
0.112866 + 0.993610i \(0.463997\pi\)
\(614\) 6.83346 2.48717i 0.275776 0.100374i
\(615\) −26.0964 + 1.91049i −1.05231 + 0.0770385i
\(616\) 1.98173 + 11.0265i 0.0798462 + 0.444271i
\(617\) 4.78146 + 5.69832i 0.192494 + 0.229406i 0.853655 0.520838i \(-0.174381\pi\)
−0.661161 + 0.750244i \(0.729936\pi\)
\(618\) 1.52513 + 6.03297i 0.0613498 + 0.242682i
\(619\) 9.85761 11.7478i 0.396211 0.472185i −0.530650 0.847591i \(-0.678052\pi\)
0.926861 + 0.375406i \(0.122497\pi\)
\(620\) 10.3984 6.00351i 0.417609 0.241107i
\(621\) 5.67311 + 4.34350i 0.227654 + 0.174298i
\(622\) 7.17613i 0.287737i
\(623\) −24.9137 20.7657i −0.998148 0.831960i
\(624\) −5.49164 + 19.3904i −0.219841 + 0.776236i
\(625\) −5.34899 30.3356i −0.213960 1.21343i
\(626\) 0.344731 0.289263i 0.0137782 0.0115613i
\(627\) −32.4954 + 2.37896i −1.29774 + 0.0950063i
\(628\) −14.6260 40.1847i −0.583642 1.60354i
\(629\) −4.11492 + 7.12725i −0.164073 + 0.284182i
\(630\) −1.43387 + 7.08749i −0.0571268 + 0.282372i
\(631\) −12.0123 20.8060i −0.478203 0.828272i 0.521485 0.853261i \(-0.325378\pi\)
−0.999688 + 0.0249886i \(0.992045\pi\)
\(632\) 9.13056 10.8814i 0.363194 0.432838i
\(633\) −18.3745 13.2584i −0.730322 0.526975i
\(634\) 0.379429 + 2.15185i 0.0150690 + 0.0854608i
\(635\) −37.1614 + 31.1821i −1.47470 + 1.23742i
\(636\) −2.91026 + 4.03327i −0.115399 + 0.159929i
\(637\) 8.33960 + 22.4517i 0.330427 + 0.889569i
\(638\) 7.74232 4.47003i 0.306521 0.176970i
\(639\) 15.8816 + 29.4041i 0.628267 + 1.16321i
\(640\) 25.5620i 1.01043i
\(641\) 44.3011 + 7.81149i 1.74979 + 0.308535i 0.954615 0.297844i \(-0.0962676\pi\)
0.795176 + 0.606379i \(0.207379\pi\)
\(642\) 3.68689 0.269914i 0.145510 0.0106526i
\(643\) −5.46038 + 0.962813i −0.215337 + 0.0379696i −0.280276 0.959920i \(-0.590426\pi\)
0.0649390 + 0.997889i \(0.479315\pi\)
\(644\) −6.79747 + 1.22167i −0.267858 + 0.0481405i
\(645\) −11.0273 43.6206i −0.434198 1.71756i
\(646\) −1.42500 + 8.08158i −0.0560659 + 0.317965i
\(647\) 17.8595 + 30.9335i 0.702127 + 1.21612i 0.967718 + 0.252035i \(0.0810997\pi\)
−0.265591 + 0.964086i \(0.585567\pi\)
\(648\) −9.35290 6.13241i −0.367417 0.240904i
\(649\) 20.2552 + 11.6943i 0.795086 + 0.459043i
\(650\) 3.24695 1.18179i 0.127356 0.0463538i
\(651\) 7.09251 + 7.24877i 0.277978 + 0.284102i
\(652\) 13.9988 11.7464i 0.548235 0.460023i
\(653\) 9.10992 25.0293i 0.356499 0.979472i −0.623736 0.781635i \(-0.714386\pi\)
0.980235 0.197837i \(-0.0633917\pi\)
\(654\) 8.25557 + 3.99319i 0.322818 + 0.156146i
\(655\) −7.93829 + 45.0203i −0.310175 + 1.75909i
\(656\) 8.98777 + 15.5673i 0.350914 + 0.607800i
\(657\) 17.7269 + 0.503145i 0.691591 + 0.0196295i
\(658\) 2.23404 1.29965i 0.0870919 0.0506656i
\(659\) 27.7440 + 4.89202i 1.08075 + 0.190566i 0.685549 0.728027i \(-0.259562\pi\)
0.395205 + 0.918593i \(0.370673\pi\)
\(660\) −13.1198 29.2104i −0.510687 1.13701i
\(661\) −32.7012 + 5.76611i −1.27193 + 0.224276i −0.768550 0.639790i \(-0.779021\pi\)
−0.503380 + 0.864065i \(0.667910\pi\)
\(662\) 0.934275 0.164738i 0.0363116 0.00640272i
\(663\) 27.4932 + 2.79891i 1.06775 + 0.108701i
\(664\) 8.75922 + 1.54449i 0.339924 + 0.0599377i
\(665\) 36.0826 20.9910i 1.39922 0.813997i
\(666\) 0.340106 1.65309i 0.0131788 0.0640558i
\(667\) 5.65875 + 9.80124i 0.219108 + 0.379505i
\(668\) 3.32341 18.8480i 0.128587 0.729250i
\(669\) −1.86998 25.5431i −0.0722978 0.987553i
\(670\) 2.98859 8.21108i 0.115459 0.317222i
\(671\) 25.6927 21.5588i 0.991857 0.832267i
\(672\) 15.8447 4.06108i 0.611223 0.156660i
\(673\) 2.51415 0.915077i 0.0969135 0.0352736i −0.293108 0.956079i \(-0.594690\pi\)
0.390022 + 0.920806i \(0.372467\pi\)
\(674\) −6.95908 4.01783i −0.268054 0.154761i
\(675\) −0.735658 16.4456i −0.0283155 0.632990i
\(676\) −1.22760 2.12627i −0.0472154 0.0817795i
\(677\) 6.89486 39.1027i 0.264991 1.50284i −0.504069 0.863663i \(-0.668164\pi\)
0.769060 0.639176i \(-0.220725\pi\)
\(678\) −4.19084 + 4.07358i −0.160948 + 0.156445i
\(679\) 6.54523 1.17634i 0.251183 0.0451436i
\(680\) −16.3101 + 2.87591i −0.625463 + 0.110286i
\(681\) −6.91599 + 14.2982i −0.265022 + 0.547908i
\(682\) 2.36727 + 0.417413i 0.0906474 + 0.0159836i
\(683\) 19.6212i 0.750783i −0.926866 0.375392i \(-0.877508\pi\)
0.926866 0.375392i \(-0.122492\pi\)
\(684\) 4.57895 + 31.1055i 0.175081 + 1.18935i
\(685\) 32.2541 18.6219i 1.23237 0.711507i
\(686\) 3.74992 4.55971i 0.143173 0.174090i
\(687\) 22.0457 + 2.24433i 0.841096 + 0.0856267i
\(688\) −23.6776 + 19.8679i −0.902701 + 0.757456i
\(689\) 0.898699 + 5.09677i 0.0342377 + 0.194172i
\(690\) −1.97927 + 0.888986i −0.0753497 + 0.0338431i
\(691\) −3.58492 + 4.27234i −0.136377 + 0.162527i −0.829910 0.557897i \(-0.811608\pi\)
0.693534 + 0.720424i \(0.256053\pi\)
\(692\) 11.7328 + 20.3218i 0.446013 + 0.772517i
\(693\) 21.1481 16.8598i 0.803348 0.640452i
\(694\) −0.366866 + 0.635430i −0.0139260 + 0.0241206i
\(695\) 4.00390 + 11.0006i 0.151876 + 0.417277i
\(696\) −9.95424 14.6543i −0.377314 0.555470i
\(697\) 18.8825 15.8443i 0.715227 0.600146i
\(698\) 0.387041 + 2.19502i 0.0146497 + 0.0830826i
\(699\) 20.6038 + 21.1969i 0.779308 + 0.801741i
\(700\) 12.2232 + 10.1881i 0.461994 + 0.385073i
\(701\) 46.9342i 1.77268i 0.463033 + 0.886341i \(0.346761\pi\)
−0.463033 + 0.886341i \(0.653239\pi\)
\(702\) −5.53158 + 1.23253i −0.208776 + 0.0465189i
\(703\) −8.43766 + 4.87149i −0.318232 + 0.183732i
\(704\) −12.4048 + 14.7834i −0.467523 + 0.557172i
\(705\) −10.8780 + 10.5736i −0.409690 + 0.398227i
\(706\) −4.52564 5.39345i −0.170325 0.202985i
\(707\) 4.35948 + 24.2565i 0.163955 + 0.912260i
\(708\) 9.82740 20.3173i 0.369336 0.763570i
\(709\) 16.3092 5.93606i 0.612505 0.222934i −0.0170941 0.999854i \(-0.505441\pi\)
0.629599 + 0.776920i \(0.283219\pi\)
\(710\) −10.1486 −0.380869
\(711\) −33.5886 6.91051i −1.25967 0.259164i
\(712\) 15.2334i 0.570896i
\(713\) −0.528416 + 2.99680i −0.0197893 + 0.112231i
\(714\) −2.81140 6.20467i −0.105214 0.232204i
\(715\) −31.3111 11.3963i −1.17097 0.426198i
\(716\) 19.2603 + 22.9536i 0.719793 + 0.857816i
\(717\) −11.6301 1.18399i −0.434333 0.0442167i
\(718\) 9.76700 3.55490i 0.364501 0.132668i
\(719\) 26.6722 0.994706 0.497353 0.867548i \(-0.334305\pi\)
0.497353 + 0.867548i \(0.334305\pi\)
\(720\) −25.6543 + 13.8563i −0.956078 + 0.516393i
\(721\) 0.0981882 + 29.8193i 0.00365672 + 1.11053i
\(722\) −2.35163 + 2.80257i −0.0875187 + 0.104301i
\(723\) 0.355100 + 4.85049i 0.0132063 + 0.180392i
\(724\) −16.0069 19.0762i −0.594890 0.708962i
\(725\) 8.91838 24.5031i 0.331220 0.910021i
\(726\) 0.0919281 0.324588i 0.00341177 0.0120466i
\(727\) 11.6117 + 31.9029i 0.430654 + 1.18321i 0.945412 + 0.325878i \(0.105660\pi\)
−0.514758 + 0.857336i \(0.672118\pi\)
\(728\) 5.59251 9.76059i 0.207272 0.361752i
\(729\) −2.29564 + 26.9022i −0.0850239 + 0.996379i
\(730\) −2.69270 + 4.66390i −0.0996614 + 0.172619i
\(731\) 32.4685 + 27.2443i 1.20089 + 1.00767i
\(732\) −22.5581 23.2074i −0.833770 0.857771i
\(733\) 15.0444 2.65274i 0.555679 0.0979811i 0.111245 0.993793i \(-0.464516\pi\)
0.444433 + 0.895812i \(0.353405\pi\)
\(734\) 0.235454 + 1.33532i 0.00869076 + 0.0492877i
\(735\) −14.8826 + 31.2925i −0.548953 + 1.15424i
\(736\) 3.75977 + 3.15482i 0.138587 + 0.116288i
\(737\) −28.3040 + 16.3413i −1.04259 + 0.601940i
\(738\) −2.65064 + 4.30420i −0.0975712 + 0.158440i
\(739\) 15.5321 26.9024i 0.571359 0.989622i −0.425068 0.905161i \(-0.639750\pi\)
0.996427 0.0844608i \(-0.0269168\pi\)
\(740\) −7.33508 6.15486i −0.269643 0.226257i
\(741\) 26.5307 + 19.1436i 0.974629 + 0.703259i
\(742\) 0.974535 0.823216i 0.0357763 0.0302212i
\(743\) −10.8218 + 29.7328i −0.397015 + 1.09079i 0.566716 + 0.823913i \(0.308214\pi\)
−0.963731 + 0.266876i \(0.914008\pi\)
\(744\) 0.482427 4.73879i 0.0176866 0.173733i
\(745\) 1.45806 + 4.00598i 0.0534191 + 0.146768i
\(746\) −6.72767 3.88422i −0.246317 0.142211i
\(747\) −6.76853 20.3776i −0.247648 0.745577i
\(748\) 26.1239 + 15.0826i 0.955183 + 0.551475i
\(749\) 17.4557 + 3.01869i 0.637819 + 0.110300i
\(750\) −2.60220 1.25868i −0.0950189 0.0459603i
\(751\) 19.7899 + 7.20294i 0.722145 + 0.262839i 0.676836 0.736134i \(-0.263351\pi\)
0.0453087 + 0.998973i \(0.485573\pi\)
\(752\) 9.79302 + 3.56437i 0.357115 + 0.129979i
\(753\) −9.69434 38.3479i −0.353281 1.39748i
\(754\) −8.84044 1.55881i −0.321950 0.0567685i
\(755\) −13.8828 −0.505247
\(756\) −17.7157 19.1647i −0.644313 0.697015i
\(757\) −13.1053 −0.476322 −0.238161 0.971226i \(-0.576545\pi\)
−0.238161 + 0.971226i \(0.576545\pi\)
\(758\) 5.60410 + 0.988154i 0.203550 + 0.0358914i
\(759\) 7.80833 + 2.21143i 0.283424 + 0.0802700i
\(760\) −18.4243 6.70588i −0.668318 0.243248i
\(761\) −9.52482 3.46675i −0.345274 0.125670i 0.163561 0.986533i \(-0.447702\pi\)
−0.508836 + 0.860864i \(0.669924\pi\)
\(762\) 0.684248 + 9.34649i 0.0247877 + 0.338588i
\(763\) 33.7570 + 28.1366i 1.22209 + 1.01861i
\(764\) −29.2197 16.8700i −1.05713 0.610335i
\(765\) 24.8209 + 31.3451i 0.897400 + 1.13328i
\(766\) −7.55611 4.36252i −0.273013 0.157624i
\(767\) −8.03230 22.0685i −0.290029 0.796849i
\(768\) 11.9052 + 8.59034i 0.429590 + 0.309977i
\(769\) −7.15123 + 19.6478i −0.257880 + 0.708519i 0.741418 + 0.671044i \(0.234154\pi\)
−0.999298 + 0.0374752i \(0.988068\pi\)
\(770\) 1.45285 + 8.08377i 0.0523570 + 0.291319i
\(771\) −2.19617 + 21.5726i −0.0790931 + 0.776917i
\(772\) −19.8127 16.6249i −0.713076 0.598342i
\(773\) 10.5944 18.3500i 0.381054 0.660005i