Properties

Label 91.2.w.a.24.1
Level $91$
Weight $2$
Character 91.24
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 24.1
Character \(\chi\) \(=\) 91.24
Dual form 91.2.w.a.19.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.38212 + 0.638288i) q^{2} -0.168862i q^{3} +(3.53505 - 2.04096i) q^{4} +(-2.38343 - 0.638637i) q^{5} +(0.107782 + 0.402250i) q^{6} +(0.932289 - 2.47605i) q^{7} +(-3.63054 + 3.63054i) q^{8} +2.97149 q^{9} +O(q^{10})\) \(q+(-2.38212 + 0.638288i) q^{2} -0.168862i q^{3} +(3.53505 - 2.04096i) q^{4} +(-2.38343 - 0.638637i) q^{5} +(0.107782 + 0.402250i) q^{6} +(0.932289 - 2.47605i) q^{7} +(-3.63054 + 3.63054i) q^{8} +2.97149 q^{9} +6.08525 q^{10} +(3.22245 - 3.22245i) q^{11} +(-0.344641 - 0.596935i) q^{12} +(-1.54835 - 3.25617i) q^{13} +(-0.640394 + 6.49333i) q^{14} +(-0.107841 + 0.402470i) q^{15} +(2.24914 - 3.89562i) q^{16} +(0.0563551 + 0.0976099i) q^{17} +(-7.07845 + 1.89666i) q^{18} +(-2.43524 + 2.43524i) q^{19} +(-9.72897 + 2.60687i) q^{20} +(-0.418111 - 0.157428i) q^{21} +(-5.61943 + 9.73314i) q^{22} +(-0.565076 - 0.326247i) q^{23} +(0.613059 + 0.613059i) q^{24} +(0.942740 + 0.544291i) q^{25} +(5.76673 + 6.76830i) q^{26} -1.00836i q^{27} +(-1.75784 - 10.6557i) q^{28} +(-2.82213 - 4.88807i) q^{29} -1.02757i q^{30} +(1.43336 + 5.34937i) q^{31} +(-0.213455 + 0.796624i) q^{32} +(-0.544149 - 0.544149i) q^{33} +(-0.196548 - 0.196548i) q^{34} +(-3.80334 + 5.30610i) q^{35} +(10.5044 - 6.06469i) q^{36} +(0.402453 + 1.50197i) q^{37} +(4.24666 - 7.35543i) q^{38} +(-0.549842 + 0.261457i) q^{39} +(10.9717 - 6.33453i) q^{40} +(10.6793 + 2.86152i) q^{41} +(1.09648 + 0.108138i) q^{42} +(6.08601 + 3.51376i) q^{43} +(4.81463 - 17.9684i) q^{44} +(-7.08232 - 1.89770i) q^{45} +(1.55432 + 0.416479i) q^{46} +(-1.53354 + 5.72325i) q^{47} +(-0.657821 - 0.379793i) q^{48} +(-5.26167 - 4.61680i) q^{49} +(-2.59314 - 0.694830i) q^{50} +(0.0164826 - 0.00951622i) q^{51} +(-12.1192 - 8.35060i) q^{52} +(-2.41079 + 4.17561i) q^{53} +(0.643622 + 2.40203i) q^{54} +(-9.73846 + 5.62250i) q^{55} +(5.60469 + 12.3741i) q^{56} +(0.411219 + 0.411219i) q^{57} +(9.84265 + 9.84265i) q^{58} +(-1.02191 + 3.81382i) q^{59} +(0.440201 + 1.64285i) q^{60} -15.3396i q^{61} +(-6.82887 - 11.8280i) q^{62} +(2.77028 - 7.35755i) q^{63} +6.96264i q^{64} +(1.61086 + 8.74967i) q^{65} +(1.64355 + 0.948907i) q^{66} +(4.44959 + 4.44959i) q^{67} +(0.398436 + 0.230037i) q^{68} +(-0.0550906 + 0.0954197i) q^{69} +(5.67322 - 15.0674i) q^{70} +(3.56578 - 0.955449i) q^{71} +(-10.7881 + 10.7881i) q^{72} +(-2.43015 + 0.651157i) q^{73} +(-1.91738 - 3.32101i) q^{74} +(0.0919100 - 0.159193i) q^{75} +(-3.63847 + 13.5789i) q^{76} +(-4.97470 - 10.9832i) q^{77} +(1.14291 - 0.973780i) q^{78} +(6.11315 + 10.5883i) q^{79} +(-7.84854 + 7.84854i) q^{80} +8.74418 q^{81} -27.2660 q^{82} +(3.34105 - 3.34105i) q^{83} +(-1.79935 + 0.296832i) q^{84} +(-0.0719809 - 0.268637i) q^{85} +(-16.7404 - 4.48558i) q^{86} +(-0.825408 + 0.476549i) q^{87} +23.3985i q^{88} +(-8.39201 + 2.24863i) q^{89} +18.0822 q^{90} +(-9.50595 + 0.798097i) q^{91} -2.66343 q^{92} +(0.903304 - 0.242039i) q^{93} -14.6123i q^{94} +(7.35946 - 4.24898i) q^{95} +(0.134519 + 0.0360444i) q^{96} +(-1.04426 - 3.89722i) q^{97} +(15.4808 + 7.63932i) q^{98} +(9.57547 - 9.57547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} - 12q^{10} + 2q^{11} + 8q^{12} - 20q^{14} + 10q^{15} - 2q^{16} - 6q^{17} - 4q^{18} - 8q^{19} - 36q^{20} - 2q^{21} - 8q^{22} - 6q^{23} + 12q^{24} + 24q^{26} - 18q^{28} - 8q^{29} - 38q^{31} - 20q^{32} + 18q^{33} + 12q^{34} - 2q^{35} + 54q^{36} - 16q^{37} + 28q^{39} + 48q^{40} + 18q^{41} - 4q^{42} + 48q^{43} - 6q^{44} + 12q^{45} + 18q^{46} - 42q^{47} + 12q^{48} + 8q^{49} + 10q^{50} + 12q^{51} - 28q^{52} + 12q^{53} - 30q^{54} - 6q^{55} - 24q^{56} + 12q^{57} + 62q^{58} - 6q^{59} + 16q^{60} - 36q^{62} - 38q^{63} - 2q^{65} + 66q^{66} - 4q^{67} + 30q^{68} + 42q^{69} + 68q^{70} - 42q^{71} - 38q^{72} + 14q^{73} - 6q^{74} - 20q^{75} + 52q^{76} - 62q^{78} + 4q^{79} + 12q^{80} + 12q^{81} - 108q^{82} - 66q^{83} - 56q^{84} - 54q^{85} - 30q^{86} + 42q^{87} - 30q^{89} - 72q^{90} - 42q^{91} - 156q^{92} + 14q^{93} - 6q^{95} + 18q^{96} + 62q^{97} + 112q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.38212 + 0.638288i −1.68442 + 0.451338i −0.968939 0.247299i \(-0.920457\pi\)
−0.715477 + 0.698637i \(0.753790\pi\)
\(3\) 0.168862i 0.0974924i −0.998811 0.0487462i \(-0.984477\pi\)
0.998811 0.0487462i \(-0.0155226\pi\)
\(4\) 3.53505 2.04096i 1.76753 1.02048i
\(5\) −2.38343 0.638637i −1.06590 0.285607i −0.317093 0.948394i \(-0.602707\pi\)
−0.748808 + 0.662787i \(0.769373\pi\)
\(6\) 0.107782 + 0.402250i 0.0440020 + 0.164218i
\(7\) 0.932289 2.47605i 0.352372 0.935860i
\(8\) −3.63054 + 3.63054i −1.28359 + 1.28359i
\(9\) 2.97149 0.990495
\(10\) 6.08525 1.92433
\(11\) 3.22245 3.22245i 0.971606 0.971606i −0.0280017 0.999608i \(-0.508914\pi\)
0.999608 + 0.0280017i \(0.00891439\pi\)
\(12\) −0.344641 0.596935i −0.0994892 0.172320i
\(13\) −1.54835 3.25617i −0.429434 0.903098i
\(14\) −0.640394 + 6.49333i −0.171152 + 1.73542i
\(15\) −0.107841 + 0.402470i −0.0278445 + 0.103917i
\(16\) 2.24914 3.89562i 0.562284 0.973904i
\(17\) 0.0563551 + 0.0976099i 0.0136681 + 0.0236739i 0.872779 0.488116i \(-0.162316\pi\)
−0.859110 + 0.511790i \(0.828983\pi\)
\(18\) −7.07845 + 1.89666i −1.66841 + 0.447048i
\(19\) −2.43524 + 2.43524i −0.558683 + 0.558683i −0.928932 0.370250i \(-0.879272\pi\)
0.370250 + 0.928932i \(0.379272\pi\)
\(20\) −9.72897 + 2.60687i −2.17546 + 0.582914i
\(21\) −0.418111 0.157428i −0.0912392 0.0343536i
\(22\) −5.61943 + 9.73314i −1.19807 + 2.07511i
\(23\) −0.565076 0.326247i −0.117826 0.0680271i 0.439928 0.898033i \(-0.355004\pi\)
−0.557755 + 0.830006i \(0.688337\pi\)
\(24\) 0.613059 + 0.613059i 0.125140 + 0.125140i
\(25\) 0.942740 + 0.544291i 0.188548 + 0.108858i
\(26\) 5.76673 + 6.76830i 1.13095 + 1.32737i
\(27\) 1.00836i 0.194058i
\(28\) −1.75784 10.6557i −0.332201 2.01375i
\(29\) −2.82213 4.88807i −0.524056 0.907691i −0.999608 0.0280035i \(-0.991085\pi\)
0.475552 0.879688i \(-0.342248\pi\)
\(30\) 1.02757i 0.187607i
\(31\) 1.43336 + 5.34937i 0.257439 + 0.960774i 0.966717 + 0.255846i \(0.0823541\pi\)
−0.709279 + 0.704928i \(0.750979\pi\)
\(32\) −0.213455 + 0.796624i −0.0377338 + 0.140825i
\(33\) −0.544149 0.544149i −0.0947242 0.0947242i
\(34\) −0.196548 0.196548i −0.0337077 0.0337077i
\(35\) −3.80334 + 5.30610i −0.642882 + 0.896894i
\(36\) 10.5044 6.06469i 1.75073 1.01078i
\(37\) 0.402453 + 1.50197i 0.0661628 + 0.246923i 0.991085 0.133235i \(-0.0425364\pi\)
−0.924922 + 0.380158i \(0.875870\pi\)
\(38\) 4.24666 7.35543i 0.688899 1.19321i
\(39\) −0.549842 + 0.261457i −0.0880452 + 0.0418666i
\(40\) 10.9717 6.33453i 1.73478 1.00158i
\(41\) 10.6793 + 2.86152i 1.66783 + 0.446894i 0.964525 0.263993i \(-0.0850396\pi\)
0.703306 + 0.710887i \(0.251706\pi\)
\(42\) 1.09648 + 0.108138i 0.169190 + 0.0166861i
\(43\) 6.08601 + 3.51376i 0.928108 + 0.535843i 0.886213 0.463279i \(-0.153327\pi\)
0.0418951 + 0.999122i \(0.486660\pi\)
\(44\) 4.81463 17.9684i 0.725833 2.70885i
\(45\) −7.08232 1.89770i −1.05577 0.282893i
\(46\) 1.55432 + 0.416479i 0.229172 + 0.0614065i
\(47\) −1.53354 + 5.72325i −0.223690 + 0.834822i 0.759235 + 0.650816i \(0.225573\pi\)
−0.982925 + 0.184006i \(0.941093\pi\)
\(48\) −0.657821 0.379793i −0.0949483 0.0548184i
\(49\) −5.26167 4.61680i −0.751668 0.659542i
\(50\) −2.59314 0.694830i −0.366725 0.0982637i
\(51\) 0.0164826 0.00951622i 0.00230802 0.00133254i
\(52\) −12.1192 8.35060i −1.68063 1.15802i
\(53\) −2.41079 + 4.17561i −0.331147 + 0.573564i −0.982737 0.185008i \(-0.940769\pi\)
0.651590 + 0.758571i \(0.274102\pi\)
\(54\) 0.643622 + 2.40203i 0.0875858 + 0.326875i
\(55\) −9.73846 + 5.62250i −1.31313 + 0.758138i
\(56\) 5.60469 + 12.3741i 0.748958 + 1.65356i
\(57\) 0.411219 + 0.411219i 0.0544673 + 0.0544673i
\(58\) 9.84265 + 9.84265i 1.29240 + 1.29240i
\(59\) −1.02191 + 3.81382i −0.133041 + 0.496517i −0.999998 0.00186615i \(-0.999406\pi\)
0.866957 + 0.498383i \(0.166073\pi\)
\(60\) 0.440201 + 1.64285i 0.0568297 + 0.212091i
\(61\) 15.3396i 1.96404i −0.188776 0.982020i \(-0.560452\pi\)
0.188776 0.982020i \(-0.439548\pi\)
\(62\) −6.82887 11.8280i −0.867268 1.50215i
\(63\) 2.77028 7.35755i 0.349023 0.926965i
\(64\) 6.96264i 0.870330i
\(65\) 1.61086 + 8.74967i 0.199803 + 1.08526i
\(66\) 1.64355 + 0.948907i 0.202308 + 0.116802i
\(67\) 4.44959 + 4.44959i 0.543604 + 0.543604i 0.924584 0.380979i \(-0.124413\pi\)
−0.380979 + 0.924584i \(0.624413\pi\)
\(68\) 0.398436 + 0.230037i 0.0483175 + 0.0278961i
\(69\) −0.0550906 + 0.0954197i −0.00663213 + 0.0114872i
\(70\) 5.67322 15.0674i 0.678079 1.80090i
\(71\) 3.56578 0.955449i 0.423181 0.113391i −0.0409427 0.999161i \(-0.513036\pi\)
0.464123 + 0.885771i \(0.346369\pi\)
\(72\) −10.7881 + 10.7881i −1.27139 + 1.27139i
\(73\) −2.43015 + 0.651157i −0.284428 + 0.0762122i −0.398212 0.917293i \(-0.630369\pi\)
0.113785 + 0.993505i \(0.463703\pi\)
\(74\) −1.91738 3.32101i −0.222891 0.386059i
\(75\) 0.0919100 0.159193i 0.0106129 0.0183820i
\(76\) −3.63847 + 13.5789i −0.417361 + 1.55761i
\(77\) −4.97470 10.9832i −0.566920 1.25165i
\(78\) 1.14291 0.973780i 0.129409 0.110259i
\(79\) 6.11315 + 10.5883i 0.687783 + 1.19128i 0.972553 + 0.232680i \(0.0747493\pi\)
−0.284770 + 0.958596i \(0.591917\pi\)
\(80\) −7.84854 + 7.84854i −0.877493 + 0.877493i
\(81\) 8.74418 0.971576
\(82\) −27.2660 −3.01102
\(83\) 3.34105 3.34105i 0.366728 0.366728i −0.499554 0.866283i \(-0.666503\pi\)
0.866283 + 0.499554i \(0.166503\pi\)
\(84\) −1.79935 + 0.296832i −0.196325 + 0.0323870i
\(85\) −0.0719809 0.268637i −0.00780743 0.0291377i
\(86\) −16.7404 4.48558i −1.80517 0.483693i
\(87\) −0.825408 + 0.476549i −0.0884930 + 0.0510914i
\(88\) 23.3985i 2.49429i
\(89\) −8.39201 + 2.24863i −0.889551 + 0.238355i −0.674524 0.738253i \(-0.735651\pi\)
−0.215028 + 0.976608i \(0.568984\pi\)
\(90\) 18.0822 1.90604
\(91\) −9.50595 + 0.798097i −0.996494 + 0.0836633i
\(92\) −2.66343 −0.277682
\(93\) 0.903304 0.242039i 0.0936682 0.0250983i
\(94\) 14.6123i 1.50715i
\(95\) 7.35946 4.24898i 0.755064 0.435936i
\(96\) 0.134519 + 0.0360444i 0.0137293 + 0.00367876i
\(97\) −1.04426 3.89722i −0.106028 0.395703i 0.892431 0.451183i \(-0.148998\pi\)
−0.998460 + 0.0554799i \(0.982331\pi\)
\(98\) 15.4808 + 7.63932i 1.56380 + 0.771687i
\(99\) 9.57547 9.57547i 0.962371 0.962371i
\(100\) 4.44352 0.444352
\(101\) 4.52037 0.449793 0.224897 0.974383i \(-0.427796\pi\)
0.224897 + 0.974383i \(0.427796\pi\)
\(102\) −0.0331895 + 0.0331895i −0.00328625 + 0.00328625i
\(103\) 6.72989 + 11.6565i 0.663115 + 1.14855i 0.979793 + 0.200016i \(0.0640994\pi\)
−0.316677 + 0.948533i \(0.602567\pi\)
\(104\) 17.4430 + 6.20031i 1.71042 + 0.607990i
\(105\) 0.895997 + 0.642239i 0.0874404 + 0.0626762i
\(106\) 3.07755 11.4856i 0.298919 1.11558i
\(107\) −4.12999 + 7.15334i −0.399261 + 0.691540i −0.993635 0.112649i \(-0.964067\pi\)
0.594374 + 0.804189i \(0.297400\pi\)
\(108\) −2.05802 3.56459i −0.198033 0.343003i
\(109\) −13.0075 + 3.48535i −1.24589 + 0.333836i −0.820749 0.571289i \(-0.806443\pi\)
−0.425145 + 0.905125i \(0.639777\pi\)
\(110\) 19.6094 19.6094i 1.86969 1.86969i
\(111\) 0.253626 0.0679589i 0.0240731 0.00645037i
\(112\) −7.54891 9.20082i −0.713305 0.869396i
\(113\) 1.14314 1.97997i 0.107537 0.186260i −0.807235 0.590231i \(-0.799037\pi\)
0.914772 + 0.403970i \(0.132370\pi\)
\(114\) −1.24205 0.717099i −0.116329 0.0671624i
\(115\) 1.13846 + 1.13846i 0.106162 + 0.106162i
\(116\) −19.9527 11.5197i −1.85256 1.06958i
\(117\) −4.60089 9.67565i −0.425352 0.894514i
\(118\) 9.73726i 0.896388i
\(119\) 0.294226 0.0485375i 0.0269717 0.00444943i
\(120\) −1.06966 1.85270i −0.0976461 0.169128i
\(121\) 9.76841i 0.888037i
\(122\) 9.79112 + 36.5409i 0.886446 + 3.30826i
\(123\) 0.483201 1.80333i 0.0435688 0.162601i
\(124\) 15.9849 + 15.9849i 1.43548 + 1.43548i
\(125\) 6.82460 + 6.82460i 0.610411 + 0.610411i
\(126\) −1.90292 + 19.2948i −0.169526 + 1.71892i
\(127\) −4.38857 + 2.53374i −0.389422 + 0.224833i −0.681910 0.731436i \(-0.738850\pi\)
0.292488 + 0.956269i \(0.405517\pi\)
\(128\) −4.87108 18.1791i −0.430547 1.60682i
\(129\) 0.593340 1.02769i 0.0522406 0.0904834i
\(130\) −9.42208 19.8146i −0.826371 1.73786i
\(131\) −4.92213 + 2.84179i −0.430048 + 0.248288i −0.699367 0.714763i \(-0.746535\pi\)
0.269319 + 0.963051i \(0.413201\pi\)
\(132\) −3.03418 0.813007i −0.264092 0.0707632i
\(133\) 3.75944 + 8.30013i 0.325984 + 0.719713i
\(134\) −13.4396 7.75936i −1.16100 0.670306i
\(135\) −0.643974 + 2.40334i −0.0554244 + 0.206847i
\(136\) −0.558976 0.149777i −0.0479318 0.0128433i
\(137\) 8.25356 + 2.21153i 0.705149 + 0.188944i 0.593536 0.804808i \(-0.297732\pi\)
0.111613 + 0.993752i \(0.464398\pi\)
\(138\) 0.0703274 0.262465i 0.00598666 0.0223425i
\(139\) −9.91348 5.72355i −0.840850 0.485465i 0.0167030 0.999860i \(-0.494683\pi\)
−0.857553 + 0.514395i \(0.828016\pi\)
\(140\) −2.61547 + 26.5198i −0.221048 + 2.24133i
\(141\) 0.966439 + 0.258957i 0.0813888 + 0.0218081i
\(142\) −7.88429 + 4.55200i −0.661635 + 0.381995i
\(143\) −15.4823 5.50337i −1.29470 0.460215i
\(144\) 6.68327 11.5758i 0.556939 0.964647i
\(145\) 3.60463 + 13.4527i 0.299348 + 1.11718i
\(146\) 5.37330 3.10227i 0.444697 0.256746i
\(147\) −0.779600 + 0.888496i −0.0643004 + 0.0732819i
\(148\) 4.48817 + 4.48817i 0.368925 + 0.368925i
\(149\) −5.39354 5.39354i −0.441856 0.441856i 0.450780 0.892635i \(-0.351146\pi\)
−0.892635 + 0.450780i \(0.851146\pi\)
\(150\) −0.117330 + 0.437882i −0.00957997 + 0.0357529i
\(151\) −1.70781 6.37363i −0.138980 0.518679i −0.999950 0.0100235i \(-0.996809\pi\)
0.860970 0.508656i \(-0.169857\pi\)
\(152\) 17.6825i 1.43424i
\(153\) 0.167458 + 0.290046i 0.0135382 + 0.0234489i
\(154\) 18.8608 + 22.9881i 1.51985 + 1.85243i
\(155\) 13.6652i 1.09762i
\(156\) −1.41010 + 2.04647i −0.112898 + 0.163849i
\(157\) 8.20626 + 4.73788i 0.654931 + 0.378124i 0.790343 0.612665i \(-0.209903\pi\)
−0.135412 + 0.990789i \(0.543236\pi\)
\(158\) −21.3207 21.3207i −1.69618 1.69618i
\(159\) 0.705100 + 0.407090i 0.0559181 + 0.0322843i
\(160\) 1.01751 1.76238i 0.0804411 0.139328i
\(161\) −1.33462 + 1.09500i −0.105183 + 0.0862982i
\(162\) −20.8297 + 5.58131i −1.63654 + 0.438509i
\(163\) 13.0660 13.0660i 1.02341 1.02341i 0.0236898 0.999719i \(-0.492459\pi\)
0.999719 0.0236898i \(-0.00754139\pi\)
\(164\) 43.5922 11.6805i 3.40398 0.912094i
\(165\) 0.949426 + 1.64445i 0.0739127 + 0.128021i
\(166\) −5.82625 + 10.0914i −0.452205 + 0.783242i
\(167\) 4.24807 15.8540i 0.328725 1.22682i −0.581788 0.813341i \(-0.697647\pi\)
0.910513 0.413480i \(-0.135687\pi\)
\(168\) 2.08952 0.946418i 0.161210 0.0730177i
\(169\) −8.20525 + 10.0833i −0.631173 + 0.775642i
\(170\) 0.342935 + 0.593981i 0.0263019 + 0.0455563i
\(171\) −7.23628 + 7.23628i −0.553372 + 0.553372i
\(172\) 28.6858 2.18727
\(173\) 18.2374 1.38657 0.693283 0.720665i \(-0.256164\pi\)
0.693283 + 0.720665i \(0.256164\pi\)
\(174\) 1.66205 1.66205i 0.125999 0.125999i
\(175\) 2.22660 1.82684i 0.168315 0.138096i
\(176\) −5.30571 19.8012i −0.399933 1.49257i
\(177\) 0.644008 + 0.172561i 0.0484066 + 0.0129705i
\(178\) 18.5555 10.7130i 1.39080 0.802977i
\(179\) 23.5819i 1.76260i 0.472560 + 0.881299i \(0.343330\pi\)
−0.472560 + 0.881299i \(0.656670\pi\)
\(180\) −28.9095 + 7.74628i −2.15479 + 0.577374i
\(181\) −4.65138 −0.345735 −0.172867 0.984945i \(-0.555303\pi\)
−0.172867 + 0.984945i \(0.555303\pi\)
\(182\) 22.1349 7.96870i 1.64075 0.590679i
\(183\) −2.59028 −0.191479
\(184\) 3.23598 0.867078i 0.238560 0.0639219i
\(185\) 3.83687i 0.282092i
\(186\) −1.99729 + 1.15314i −0.146448 + 0.0845520i
\(187\) 0.496145 + 0.132942i 0.0362817 + 0.00972165i
\(188\) 6.25980 + 23.3619i 0.456543 + 1.70384i
\(189\) −2.49674 0.940079i −0.181611 0.0683807i
\(190\) −14.8191 + 14.8191i −1.07509 + 1.07509i
\(191\) 7.69956 0.557120 0.278560 0.960419i \(-0.410143\pi\)
0.278560 + 0.960419i \(0.410143\pi\)
\(192\) 1.17572 0.0848505
\(193\) 0.176232 0.176232i 0.0126855 0.0126855i −0.700736 0.713421i \(-0.747145\pi\)
0.713421 + 0.700736i \(0.247145\pi\)
\(194\) 4.97510 + 8.61713i 0.357192 + 0.618674i
\(195\) 1.47748 0.272013i 0.105805 0.0194792i
\(196\) −28.0230 5.58173i −2.00164 0.398695i
\(197\) −1.72653 + 6.44350i −0.123010 + 0.459081i −0.999761 0.0218645i \(-0.993040\pi\)
0.876751 + 0.480945i \(0.159706\pi\)
\(198\) −16.6981 + 28.9219i −1.18668 + 2.05539i
\(199\) −2.69418 4.66645i −0.190985 0.330796i 0.754592 0.656194i \(-0.227835\pi\)
−0.945577 + 0.325398i \(0.894502\pi\)
\(200\) −5.39873 + 1.44658i −0.381748 + 0.102289i
\(201\) 0.751366 0.751366i 0.0529973 0.0529973i
\(202\) −10.7681 + 2.88530i −0.757639 + 0.203009i
\(203\) −14.7341 + 2.43064i −1.03413 + 0.170598i
\(204\) 0.0388445 0.0672807i 0.00271966 0.00471059i
\(205\) −23.6259 13.6404i −1.65011 0.952689i
\(206\) −23.4716 23.4716i −1.63535 1.63535i
\(207\) −1.67912 0.969438i −0.116707 0.0673806i
\(208\) −16.1672 1.29180i −1.12099 0.0895700i
\(209\) 15.6949i 1.08564i
\(210\) −2.54431 0.957990i −0.175574 0.0661076i
\(211\) −1.44964 2.51085i −0.0997974 0.172854i 0.811803 0.583931i \(-0.198486\pi\)
−0.911601 + 0.411077i \(0.865153\pi\)
\(212\) 19.6813i 1.35172i
\(213\) −0.161339 0.602125i −0.0110548 0.0412569i
\(214\) 5.27224 19.6763i 0.360403 1.34504i
\(215\) −12.2615 12.2615i −0.836230 0.836230i
\(216\) 3.66087 + 3.66087i 0.249091 + 0.249091i
\(217\) 14.5816 + 1.43809i 0.989865 + 0.0976237i
\(218\) 28.7608 16.6051i 1.94793 1.12464i
\(219\) 0.109956 + 0.410360i 0.00743011 + 0.0277296i
\(220\) −22.9506 + 39.7517i −1.54733 + 2.68006i
\(221\) 0.230577 0.334636i 0.0155103 0.0225100i
\(222\) −0.560791 + 0.323773i −0.0376379 + 0.0217302i
\(223\) 18.1024 + 4.85053i 1.21223 + 0.324816i 0.807636 0.589681i \(-0.200747\pi\)
0.404593 + 0.914497i \(0.367413\pi\)
\(224\) 1.77348 + 1.27121i 0.118496 + 0.0849362i
\(225\) 2.80134 + 1.61735i 0.186756 + 0.107824i
\(226\) −1.45930 + 5.44619i −0.0970714 + 0.362275i
\(227\) 6.16588 + 1.65214i 0.409244 + 0.109657i 0.457567 0.889175i \(-0.348721\pi\)
−0.0483231 + 0.998832i \(0.515388\pi\)
\(228\) 2.29296 + 0.614398i 0.151855 + 0.0406895i
\(229\) 4.47928 16.7169i 0.295999 1.10468i −0.644421 0.764671i \(-0.722902\pi\)
0.940420 0.340014i \(-0.110432\pi\)
\(230\) −3.43863 1.98529i −0.226737 0.130906i
\(231\) −1.85465 + 0.840038i −0.122027 + 0.0552704i
\(232\) 27.9921 + 7.50047i 1.83777 + 0.492430i
\(233\) −1.08707 + 0.627620i −0.0712163 + 0.0411167i −0.535185 0.844735i \(-0.679758\pi\)
0.463969 + 0.885851i \(0.346425\pi\)
\(234\) 17.1357 + 20.1119i 1.12020 + 1.31476i
\(235\) 7.31017 12.6616i 0.476863 0.825950i
\(236\) 4.17136 + 15.5677i 0.271532 + 1.01337i
\(237\) 1.78796 1.03228i 0.116140 0.0670536i
\(238\) −0.669903 + 0.303424i −0.0434234 + 0.0196680i
\(239\) −8.59429 8.59429i −0.555918 0.555918i 0.372225 0.928143i \(-0.378595\pi\)
−0.928143 + 0.372225i \(0.878595\pi\)
\(240\) 1.32532 + 1.32532i 0.0855489 + 0.0855489i
\(241\) 0.628903 2.34710i 0.0405112 0.151190i −0.942708 0.333620i \(-0.891730\pi\)
0.983219 + 0.182430i \(0.0583964\pi\)
\(242\) 6.23506 + 23.2696i 0.400805 + 1.49582i
\(243\) 4.50163i 0.288779i
\(244\) −31.3077 54.2264i −2.00427 3.47149i
\(245\) 9.59236 + 14.3641i 0.612833 + 0.917688i
\(246\) 4.60418i 0.293552i
\(247\) 11.7001 + 4.15895i 0.744463 + 0.264628i
\(248\) −24.6249 14.2172i −1.56368 0.902794i
\(249\) −0.564177 0.564177i −0.0357532 0.0357532i
\(250\) −20.6131 11.9010i −1.30369 0.752684i
\(251\) −7.94802 + 13.7664i −0.501675 + 0.868926i 0.498323 + 0.866991i \(0.333949\pi\)
−0.999998 + 0.00193499i \(0.999384\pi\)
\(252\) −5.22340 31.6634i −0.329043 1.99461i
\(253\) −2.87225 + 0.769616i −0.180577 + 0.0483853i
\(254\) 8.83685 8.83685i 0.554473 0.554473i
\(255\) −0.0453624 + 0.0121548i −0.00284071 + 0.000761165i
\(256\) 16.2444 + 28.1361i 1.01527 + 1.75851i
\(257\) 7.09703 12.2924i 0.442701 0.766780i −0.555188 0.831725i \(-0.687354\pi\)
0.997889 + 0.0649449i \(0.0206872\pi\)
\(258\) −0.757443 + 2.82682i −0.0471564 + 0.175990i
\(259\) 4.09417 + 0.403780i 0.254399 + 0.0250897i
\(260\) 23.5522 + 27.6428i 1.46065 + 1.71434i
\(261\) −8.38591 14.5248i −0.519075 0.899064i
\(262\) 9.91123 9.91123i 0.612318 0.612318i
\(263\) −18.9367 −1.16769 −0.583843 0.811866i \(-0.698452\pi\)
−0.583843 + 0.811866i \(0.698452\pi\)
\(264\) 3.95111 0.243174
\(265\) 8.41264 8.41264i 0.516784 0.516784i
\(266\) −14.2533 17.3723i −0.873927 1.06517i
\(267\) 0.379708 + 1.41709i 0.0232378 + 0.0867245i
\(268\) 24.8110 + 6.64809i 1.51557 + 0.406096i
\(269\) −20.9753 + 12.1101i −1.27889 + 0.738366i −0.976644 0.214864i \(-0.931069\pi\)
−0.302244 + 0.953231i \(0.597736\pi\)
\(270\) 6.13610i 0.373431i
\(271\) 15.2157 4.07703i 0.924286 0.247662i 0.234870 0.972027i \(-0.424534\pi\)
0.689416 + 0.724365i \(0.257867\pi\)
\(272\) 0.507001 0.0307414
\(273\) 0.134768 + 1.60519i 0.00815654 + 0.0971506i
\(274\) −21.0726 −1.27304
\(275\) 4.79189 1.28398i 0.288962 0.0774271i
\(276\) 0.449752i 0.0270719i
\(277\) 0.646720 0.373384i 0.0388576 0.0224345i −0.480445 0.877025i \(-0.659525\pi\)
0.519303 + 0.854590i \(0.326192\pi\)
\(278\) 27.2684 + 7.30655i 1.63545 + 0.438218i
\(279\) 4.25920 + 15.8956i 0.254992 + 0.951643i
\(280\) −5.45580 33.0722i −0.326046 1.97644i
\(281\) −0.536856 + 0.536856i −0.0320261 + 0.0320261i −0.722939 0.690912i \(-0.757209\pi\)
0.690912 + 0.722939i \(0.257209\pi\)
\(282\) −2.46747 −0.146935
\(283\) 19.2686 1.14540 0.572701 0.819765i \(-0.305896\pi\)
0.572701 + 0.819765i \(0.305896\pi\)
\(284\) 10.6552 10.6552i 0.632269 0.632269i
\(285\) −0.717491 1.24273i −0.0425005 0.0736130i
\(286\) 40.3935 + 3.22753i 2.38852 + 0.190848i
\(287\) 17.0415 23.7748i 1.00593 1.40338i
\(288\) −0.634278 + 2.36716i −0.0373752 + 0.139486i
\(289\) 8.49365 14.7114i 0.499626 0.865378i
\(290\) −17.1734 29.7451i −1.00845 1.74669i
\(291\) −0.658092 + 0.176335i −0.0385780 + 0.0103370i
\(292\) −7.26173 + 7.26173i −0.424960 + 0.424960i
\(293\) −14.0543 + 3.76584i −0.821062 + 0.220003i −0.644811 0.764342i \(-0.723064\pi\)
−0.176251 + 0.984345i \(0.556397\pi\)
\(294\) 1.28999 2.61412i 0.0752337 0.152458i
\(295\) 4.87129 8.43733i 0.283618 0.491240i
\(296\) −6.91409 3.99185i −0.401874 0.232022i
\(297\) −3.24938 3.24938i −0.188548 0.188548i
\(298\) 16.2907 + 9.40544i 0.943695 + 0.544843i
\(299\) −0.187381 + 2.34512i −0.0108365 + 0.135622i
\(300\) 0.750340i 0.0433209i
\(301\) 14.3742 11.7934i 0.828514 0.679762i
\(302\) 8.13643 + 14.0927i 0.468199 + 0.810944i
\(303\) 0.763317i 0.0438514i
\(304\) 4.00958 + 14.9639i 0.229965 + 0.858241i
\(305\) −9.79647 + 36.5609i −0.560944 + 2.09347i
\(306\) −0.584040 0.584040i −0.0333873 0.0333873i
\(307\) −9.47209 9.47209i −0.540601 0.540601i 0.383104 0.923705i \(-0.374855\pi\)
−0.923705 + 0.383104i \(0.874855\pi\)
\(308\) −40.0022 28.6731i −2.27934 1.63380i
\(309\) 1.96834 1.13642i 0.111975 0.0646487i
\(310\) 8.72235 + 32.5522i 0.495396 + 1.84884i
\(311\) 4.14087 7.17220i 0.234807 0.406698i −0.724409 0.689370i \(-0.757887\pi\)
0.959217 + 0.282672i \(0.0912207\pi\)
\(312\) 1.04700 2.94545i 0.0592744 0.166753i
\(313\) −4.98156 + 2.87611i −0.281574 + 0.162567i −0.634136 0.773222i \(-0.718644\pi\)
0.352562 + 0.935789i \(0.385311\pi\)
\(314\) −22.5725 6.04827i −1.27384 0.341324i
\(315\) −11.3016 + 15.7670i −0.636772 + 0.888369i
\(316\) 43.2206 + 24.9534i 2.43135 + 1.40374i
\(317\) −2.66479 + 9.94515i −0.149670 + 0.558575i 0.849833 + 0.527052i \(0.176703\pi\)
−0.999503 + 0.0315235i \(0.989964\pi\)
\(318\) −1.93948 0.519681i −0.108760 0.0291423i
\(319\) −24.8457 6.65739i −1.39109 0.372742i
\(320\) 4.44660 16.5949i 0.248573 0.927685i
\(321\) 1.20793 + 0.697397i 0.0674199 + 0.0389249i
\(322\) 2.48030 3.46030i 0.138222 0.192835i
\(323\) −0.374942 0.100465i −0.0208623 0.00559004i
\(324\) 30.9111 17.8466i 1.71729 0.991475i
\(325\) 0.312615 3.91247i 0.0173408 0.217025i
\(326\) −22.7850 + 39.4647i −1.26194 + 2.18575i
\(327\) 0.588543 + 2.19647i 0.0325465 + 0.121465i
\(328\) −49.1605 + 28.3829i −2.71444 + 1.56718i
\(329\) 12.7414 + 9.13286i 0.702455 + 0.503511i
\(330\) −3.31129 3.31129i −0.182280 0.182280i
\(331\) −12.2547 12.2547i −0.673578 0.673578i 0.284961 0.958539i \(-0.408019\pi\)
−0.958539 + 0.284961i \(0.908019\pi\)
\(332\) 4.99183 18.6298i 0.273962 1.02244i
\(333\) 1.19588 + 4.46309i 0.0655340 + 0.244576i
\(334\) 40.4777i 2.21484i
\(335\) −7.76360 13.4470i −0.424171 0.734686i
\(336\) −1.55367 + 1.27472i −0.0847595 + 0.0695418i
\(337\) 12.1069i 0.659506i 0.944067 + 0.329753i \(0.106965\pi\)
−0.944067 + 0.329753i \(0.893035\pi\)
\(338\) 13.1098 29.2571i 0.713081 1.59138i
\(339\) −0.334342 0.193032i −0.0181589 0.0104841i
\(340\) −0.802734 0.802734i −0.0435343 0.0435343i
\(341\) 21.8570 + 12.6192i 1.18362 + 0.683365i
\(342\) 12.6189 21.8566i 0.682351 1.18187i
\(343\) −16.3368 + 8.72399i −0.882106 + 0.471051i
\(344\) −34.8523 + 9.33865i −1.87911 + 0.503506i
\(345\) 0.192243 0.192243i 0.0103500 0.0103500i
\(346\) −43.4438 + 11.6407i −2.33555 + 0.625810i
\(347\) 1.43395 + 2.48367i 0.0769783 + 0.133330i 0.901945 0.431851i \(-0.142139\pi\)
−0.824967 + 0.565182i \(0.808806\pi\)
\(348\) −1.94524 + 3.36925i −0.104276 + 0.180611i
\(349\) −3.12009 + 11.6443i −0.167014 + 0.623306i 0.830760 + 0.556630i \(0.187906\pi\)
−0.997775 + 0.0666760i \(0.978761\pi\)
\(350\) −4.13799 + 5.77297i −0.221185 + 0.308578i
\(351\) −3.28338 + 1.56128i −0.175254 + 0.0833352i
\(352\) 1.87924 + 3.25493i 0.100164 + 0.173488i
\(353\) −21.5713 + 21.5713i −1.14812 + 1.14812i −0.161202 + 0.986921i \(0.551537\pi\)
−0.986921 + 0.161202i \(0.948463\pi\)
\(354\) −1.64425 −0.0873910
\(355\) −9.10897 −0.483454
\(356\) −25.0768 + 25.0768i −1.32907 + 1.32907i
\(357\) −0.00819613 0.0496836i −0.000433785 0.00262954i
\(358\) −15.0521 56.1751i −0.795527 2.96895i
\(359\) 17.2907 + 4.63302i 0.912566 + 0.244521i 0.684405 0.729102i \(-0.260062\pi\)
0.228161 + 0.973623i \(0.426729\pi\)
\(360\) 32.6023 18.8230i 1.71829 0.992057i
\(361\) 7.13920i 0.375748i
\(362\) 11.0802 2.96892i 0.582361 0.156043i
\(363\) −1.64951 −0.0865769
\(364\) −31.9751 + 22.2226i −1.67595 + 1.16478i
\(365\) 6.20794 0.324939
\(366\) 6.17037 1.65335i 0.322530 0.0864217i
\(367\) 7.23142i 0.377477i −0.982027 0.188738i \(-0.939560\pi\)
0.982027 0.188738i \(-0.0604398\pi\)
\(368\) −2.54186 + 1.46755i −0.132504 + 0.0765011i
\(369\) 31.7335 + 8.50296i 1.65198 + 0.442646i
\(370\) 2.44903 + 9.13989i 0.127319 + 0.475160i
\(371\) 8.09147 + 9.86211i 0.420088 + 0.512015i
\(372\) 2.69923 2.69923i 0.139949 0.139949i
\(373\) −24.4175 −1.26429 −0.632145 0.774850i \(-0.717825\pi\)
−0.632145 + 0.774850i \(0.717825\pi\)
\(374\) −1.26673 −0.0655012
\(375\) 1.15241 1.15241i 0.0595104 0.0595104i
\(376\) −15.2109 26.3461i −0.784443 1.35869i
\(377\) −11.5467 + 16.7577i −0.594687 + 0.863067i
\(378\) 6.54759 + 0.645745i 0.336772 + 0.0332135i
\(379\) −2.27080 + 8.47475i −0.116643 + 0.435319i −0.999405 0.0345031i \(-0.989015\pi\)
0.882761 + 0.469822i \(0.155682\pi\)
\(380\) 17.3440 30.0408i 0.889730 1.54106i
\(381\) 0.427852 + 0.741061i 0.0219195 + 0.0379657i
\(382\) −18.3413 + 4.91454i −0.938422 + 0.251449i
\(383\) −12.4385 + 12.4385i −0.635576 + 0.635576i −0.949461 0.313885i \(-0.898369\pi\)
0.313885 + 0.949461i \(0.398369\pi\)
\(384\) −3.06976 + 0.822539i −0.156653 + 0.0419750i
\(385\) 4.84255 + 29.3547i 0.246799 + 1.49606i
\(386\) −0.307320 + 0.532294i −0.0156422 + 0.0270931i
\(387\) 18.0845 + 10.4411i 0.919286 + 0.530750i
\(388\) −11.6456 11.6456i −0.591215 0.591215i
\(389\) −8.77740 5.06764i −0.445032 0.256939i 0.260698 0.965420i \(-0.416047\pi\)
−0.705730 + 0.708481i \(0.749381\pi\)
\(390\) −3.34593 + 1.59103i −0.169428 + 0.0805649i
\(391\) 0.0735427i 0.00371921i
\(392\) 35.8642 2.34125i 1.81141 0.118251i
\(393\) 0.479870 + 0.831159i 0.0242062 + 0.0419264i
\(394\) 16.4513i 0.828802i
\(395\) −7.80817 29.1405i −0.392872 1.46622i
\(396\) 14.3066 53.3930i 0.718934 2.68310i
\(397\) −5.97563 5.97563i −0.299908 0.299908i 0.541070 0.840978i \(-0.318020\pi\)
−0.840978 + 0.541070i \(0.818020\pi\)
\(398\) 9.39641 + 9.39641i 0.470999 + 0.470999i
\(399\) 1.40158 0.634825i 0.0701665 0.0317810i
\(400\) 4.24070 2.44837i 0.212035 0.122419i
\(401\) 2.43442 + 9.08540i 0.121569 + 0.453703i 0.999694 0.0247285i \(-0.00787214\pi\)
−0.878125 + 0.478432i \(0.841205\pi\)
\(402\) −1.31026 + 2.26944i −0.0653498 + 0.113189i
\(403\) 15.1991 12.9499i 0.757121 0.645082i
\(404\) 15.9797 9.22590i 0.795021 0.459006i
\(405\) −20.8411 5.58436i −1.03560 0.277489i
\(406\) 33.5471 15.1947i 1.66492 0.754101i
\(407\) 6.13693 + 3.54316i 0.304196 + 0.175628i
\(408\) −0.0252916 + 0.0943896i −0.00125212 + 0.00467298i
\(409\) 24.5428 + 6.57622i 1.21356 + 0.325173i 0.808159 0.588964i \(-0.200464\pi\)
0.405404 + 0.914138i \(0.367131\pi\)
\(410\) 64.9864 + 17.4131i 3.20945 + 0.859970i
\(411\) 0.373444 1.39371i 0.0184206 0.0687467i
\(412\) 47.5810 + 27.4709i 2.34415 + 1.35339i
\(413\) 8.49050 + 6.08588i 0.417790 + 0.299467i
\(414\) 4.61864 + 1.23756i 0.226994 + 0.0608228i
\(415\) −10.0969 + 5.82944i −0.495636 + 0.286156i
\(416\) 2.92444 0.538406i 0.143383 0.0263975i
\(417\) −0.966489 + 1.67401i −0.0473292 + 0.0819765i
\(418\) −10.0179 37.3872i −0.489990 1.82867i
\(419\) 17.4075 10.0503i 0.850414 0.490987i −0.0103762 0.999946i \(-0.503303\pi\)
0.860791 + 0.508959i \(0.169970\pi\)
\(420\) 4.47818 + 0.441653i 0.218513 + 0.0215505i
\(421\) −2.51951 2.51951i −0.122793 0.122793i 0.643040 0.765833i \(-0.277673\pi\)
−0.765833 + 0.643040i \(0.777673\pi\)
\(422\) 5.05587 + 5.05587i 0.246116 + 0.246116i
\(423\) −4.55690 + 17.0066i −0.221564 + 0.826888i
\(424\) −6.40724 23.9122i −0.311163 1.16128i
\(425\) 0.122694i 0.00595155i
\(426\) 0.768658 + 1.33135i 0.0372416 + 0.0645044i
\(427\) −37.9818 14.3010i −1.83807 0.692073i
\(428\) 33.7166i 1.62975i
\(429\) −0.929309 + 2.61437i −0.0448675 + 0.126223i
\(430\) 37.0349 + 21.3821i 1.78598 + 1.03114i
\(431\) −16.9512 16.9512i −0.816511 0.816511i 0.169089 0.985601i \(-0.445917\pi\)
−0.985601 + 0.169089i \(0.945917\pi\)
\(432\) −3.92817 2.26793i −0.188994 0.109116i
\(433\) 11.7141 20.2893i 0.562941 0.975043i −0.434296 0.900770i \(-0.643003\pi\)
0.997238 0.0742732i \(-0.0236637\pi\)
\(434\) −35.6531 + 5.88157i −1.71141 + 0.282325i
\(435\) 2.27164 0.608684i 0.108917 0.0291842i
\(436\) −38.8687 + 38.8687i −1.86148 + 1.86148i
\(437\) 2.17059 0.581607i 0.103833 0.0278220i
\(438\) −0.523856 0.907345i −0.0250308 0.0433546i
\(439\) −16.8821 + 29.2406i −0.805738 + 1.39558i 0.110053 + 0.993926i \(0.464898\pi\)
−0.915792 + 0.401654i \(0.868435\pi\)
\(440\) 14.9431 55.7686i 0.712386 2.65866i
\(441\) −15.6350 13.7187i −0.744523 0.653273i
\(442\) −0.335669 + 0.944318i −0.0159661 + 0.0449166i
\(443\) −15.5134 26.8699i −0.737062 1.27663i −0.953813 0.300402i \(-0.902879\pi\)
0.216750 0.976227i \(-0.430454\pi\)
\(444\) 0.757880 0.757880i 0.0359674 0.0359674i
\(445\) 21.4378 1.01625
\(446\) −46.2183 −2.18850
\(447\) −0.910762 + 0.910762i −0.0430776 + 0.0430776i
\(448\) 17.2399 + 6.49119i 0.814507 + 0.306680i
\(449\) −0.388197 1.44877i −0.0183202 0.0683718i 0.956161 0.292843i \(-0.0946013\pi\)
−0.974481 + 0.224471i \(0.927935\pi\)
\(450\) −7.70548 2.06468i −0.363240 0.0973298i
\(451\) 43.6347 25.1925i 2.05468 1.18627i
\(452\) 9.33241i 0.438960i
\(453\) −1.07626 + 0.288384i −0.0505673 + 0.0135495i
\(454\) −15.7424 −0.738829
\(455\) 23.1664 + 4.16865i 1.08606 + 0.195429i
\(456\) −2.98589 −0.139827
\(457\) −29.6375 + 7.94134i −1.38638 + 0.371480i −0.873436 0.486940i \(-0.838113\pi\)
−0.512948 + 0.858420i \(0.671447\pi\)
\(458\) 42.6808i 1.99434i
\(459\) 0.0984255 0.0568260i 0.00459411 0.00265241i
\(460\) 6.34809 + 1.70097i 0.295981 + 0.0793080i
\(461\) −6.69670 24.9924i −0.311896 1.16401i −0.926845 0.375445i \(-0.877490\pi\)
0.614948 0.788568i \(-0.289177\pi\)
\(462\) 3.88181 3.18487i 0.180598 0.148174i
\(463\) −26.5381 + 26.5381i −1.23333 + 1.23333i −0.270652 + 0.962677i \(0.587239\pi\)
−0.962677 + 0.270652i \(0.912761\pi\)
\(464\) −25.3894 −1.17867
\(465\) −2.30753 −0.107009
\(466\) 2.18893 2.18893i 0.101400 0.101400i
\(467\) −4.11119 7.12080i −0.190243 0.329511i 0.755087 0.655624i \(-0.227594\pi\)
−0.945331 + 0.326113i \(0.894261\pi\)
\(468\) −36.0120 24.8137i −1.66466 1.14701i
\(469\) 15.1657 6.86912i 0.700288 0.317186i
\(470\) −9.33199 + 34.8274i −0.430452 + 1.60647i
\(471\) 0.800048 1.38572i 0.0368643 0.0638508i
\(472\) −10.1361 17.5563i −0.466553 0.808094i
\(473\) 30.9348 8.28895i 1.42238 0.381127i
\(474\) −3.60024 + 3.60024i −0.165365 + 0.165365i
\(475\) −3.62128 + 0.970319i −0.166156 + 0.0445213i
\(476\) 0.941043 0.772088i 0.0431326 0.0353886i
\(477\) −7.16362 + 12.4078i −0.328000 + 0.568112i
\(478\) 25.9583 + 14.9870i 1.18730 + 0.685490i
\(479\) 15.3710 + 15.3710i 0.702321 + 0.702321i 0.964908 0.262587i \(-0.0845757\pi\)
−0.262587 + 0.964908i \(0.584576\pi\)
\(480\) −0.297598 0.171818i −0.0135834 0.00784239i
\(481\) 4.26754 3.63603i 0.194583 0.165789i
\(482\) 5.99250i 0.272951i
\(483\) 0.184904 + 0.225366i 0.00841342 + 0.0102545i
\(484\) −19.9370 34.5318i −0.906225 1.56963i
\(485\) 9.95565i 0.452063i
\(486\) 2.87333 + 10.7234i 0.130337 + 0.486425i
\(487\) 4.67045 17.4304i 0.211638 0.789845i −0.775685 0.631121i \(-0.782595\pi\)
0.987323 0.158724i \(-0.0507380\pi\)
\(488\) 55.6912 + 55.6912i 2.52102 + 2.52102i
\(489\) −2.20635 2.20635i −0.0997746 0.0997746i
\(490\) −32.0186 28.0944i −1.44645 1.26917i
\(491\) 5.63350 3.25250i 0.254236 0.146783i −0.367466 0.930037i \(-0.619775\pi\)
0.621703 + 0.783253i \(0.286441\pi\)
\(492\) −1.97239 7.36106i −0.0889222 0.331862i
\(493\) 0.318082 0.550935i 0.0143257 0.0248129i
\(494\) −30.5258 2.43908i −1.37342 0.109739i
\(495\) −28.9377 + 16.7072i −1.30065 + 0.750932i
\(496\) 24.0629 + 6.44763i 1.08046 + 0.289507i
\(497\) 0.958601 9.71982i 0.0429991 0.435994i
\(498\) 1.70405 + 0.983831i 0.0763601 + 0.0440865i
\(499\) −5.21221 + 19.4522i −0.233331 + 0.870802i 0.745564 + 0.666434i \(0.232180\pi\)
−0.978894 + 0.204367i \(0.934486\pi\)
\(500\) 38.0541 + 10.1966i 1.70183 + 0.456004i
\(501\) −2.67714 0.717337i −0.119606 0.0320482i
\(502\) 10.1463 37.8664i 0.452850 1.69006i
\(503\) 17.1138 + 9.88067i 0.763068 + 0.440557i 0.830396 0.557173i \(-0.188114\pi\)
−0.0673282 + 0.997731i \(0.521447\pi\)
\(504\) 16.6543 + 36.7695i 0.741840 + 1.63784i
\(505\) −10.7740 2.88687i −0.479435 0.128464i
\(506\) 6.35081 3.66664i 0.282328 0.163002i
\(507\) 1.70269 + 1.38555i 0.0756192 + 0.0615346i
\(508\) −10.3425 + 17.9138i −0.458876 + 0.794796i
\(509\) −7.72118 28.8158i −0.342235 1.27724i −0.895809 0.444440i \(-0.853403\pi\)
0.553573 0.832800i \(-0.313264\pi\)
\(510\) 0.100301 0.0579086i 0.00444139 0.00256424i
\(511\) −0.653305 + 6.62425i −0.0289005 + 0.293040i
\(512\) −30.0390 30.0390i −1.32755 1.32755i
\(513\) 2.45559 + 2.45559i 0.108417 + 0.108417i
\(514\) −9.05990 + 33.8120i −0.399615 + 1.49138i
\(515\) −8.59591 32.0804i −0.378781 1.41363i
\(516\) 4.84394i 0.213242i
\(517\) 13.5012 + 23.3847i 0.593780 + 1.02846i
\(518\) −10.0105 + 1.65141i −0.439838 + 0.0725586i
\(519\) 3.07961i 0.135180i
\(520\) −37.6143 25.9177i −1.64950 1.13657i
\(521\) 6.67564 + 3.85418i 0.292465 + 0.168855i 0.639053 0.769163i \(-0.279326\pi\)
−0.346588 + 0.938018i \(0.612660\pi\)
\(522\) 29.2473 + 29.2473i 1.28012 + 1.28012i
\(523\) 0.0132276 + 0.00763696i 0.000578403 + 0.000333941i 0.500289 0.865858i \(-0.333227\pi\)
−0.499711 + 0.866192i \(0.666560\pi\)
\(524\) −11.6000 + 20.0918i −0.506748 + 0.877713i
\(525\) −0.308483 0.375988i −0.0134633 0.0164095i
\(526\) 45.1096 12.0871i 1.96687 0.527021i
\(527\) −0.441374 + 0.441374i −0.0192266 + 0.0192266i
\(528\) −3.34366 + 0.895931i −0.145514 + 0.0389904i
\(529\) −11.2871 19.5499i −0.490745 0.849995i
\(530\) −14.6703 + 25.4096i −0.637235 + 1.10372i
\(531\) −3.03659 + 11.3327i −0.131777 + 0.491798i
\(532\) 30.2301 + 21.6685i 1.31064 + 0.939450i
\(533\) −7.21772 39.2043i −0.312634 1.69813i
\(534\) −1.80902 3.13332i −0.0782841 0.135592i
\(535\) 14.4119 14.4119i 0.623081 0.623081i
\(536\) −32.3088 −1.39553
\(537\) 3.98209 0.171840
\(538\) 42.2361 42.2361i 1.82093 1.82093i
\(539\) −31.8329 + 2.07809i −1.37114 + 0.0895096i
\(540\) 2.62865 + 9.81027i 0.113119 + 0.422167i
\(541\) 44.8251 + 12.0108i 1.92718 + 0.516386i 0.981578 + 0.191061i \(0.0611929\pi\)
0.945602 + 0.325325i \(0.105474\pi\)
\(542\) −33.6433 + 19.4240i −1.44510 + 0.834331i
\(543\) 0.785441i 0.0337065i
\(544\) −0.0897876 + 0.0240585i −0.00384961 + 0.00103150i
\(545\) 33.2283 1.42334
\(546\) −1.34561 3.73774i −0.0575868 0.159961i
\(547\) 22.9225 0.980097 0.490049 0.871695i \(-0.336979\pi\)
0.490049 + 0.871695i \(0.336979\pi\)
\(548\) 33.6904 9.02732i 1.43918 0.385628i
\(549\) 45.5815i 1.94537i
\(550\) −10.5953 + 6.11721i −0.451786 + 0.260839i
\(551\) 18.7762 + 5.03106i 0.799892 + 0.214330i
\(552\) −0.146416 0.546434i −0.00623190 0.0232578i
\(553\) 31.9164 5.26513i 1.35722 0.223896i
\(554\) −1.30224 + 1.30224i −0.0553269 + 0.0553269i
\(555\) −0.647900 −0.0275018
\(556\) −46.7262 −1.98163
\(557\) −11.4807 + 11.4807i −0.486454 + 0.486454i −0.907185 0.420731i \(-0.861774\pi\)
0.420731 + 0.907185i \(0.361774\pi\)
\(558\) −20.2919 35.1466i −0.859025 1.48787i
\(559\) 2.01814 25.2576i 0.0853581 1.06828i
\(560\) 12.1163 + 26.7505i 0.512006 + 1.13041i
\(561\) 0.0224488 0.0837799i 0.000947788 0.00353719i
\(562\) 0.936188 1.62153i 0.0394907 0.0683999i
\(563\) 5.26168 + 9.11349i 0.221753 + 0.384088i 0.955340 0.295507i \(-0.0954887\pi\)
−0.733587 + 0.679595i \(0.762155\pi\)
\(564\) 3.94493 1.05704i 0.166112 0.0445095i
\(565\) −3.98907 + 3.98907i −0.167821 + 0.167821i
\(566\) −45.9003 + 12.2989i −1.92933 + 0.516963i
\(567\) 8.15211 21.6511i 0.342356 0.909259i
\(568\) −9.47692 + 16.4145i −0.397643 + 0.688737i
\(569\) −30.8836 17.8307i −1.29471 0.747500i −0.315223 0.949018i \(-0.602079\pi\)
−0.979485 + 0.201518i \(0.935413\pi\)
\(570\) 2.50237 + 2.50237i 0.104813 + 0.104813i
\(571\) −9.54352 5.50995i −0.399384 0.230584i 0.286834 0.957980i \(-0.407397\pi\)
−0.686218 + 0.727396i \(0.740730\pi\)
\(572\) −65.9630 + 12.1441i −2.75805 + 0.507772i
\(573\) 1.30016i 0.0543150i
\(574\) −25.4198 + 67.5119i −1.06100 + 2.81789i
\(575\) −0.355147 0.615132i −0.0148106 0.0256528i
\(576\) 20.6894i 0.862057i
\(577\) −7.15076 26.6870i −0.297690 1.11099i −0.939057 0.343760i \(-0.888299\pi\)
0.641367 0.767234i \(-0.278367\pi\)
\(578\) −10.8428 + 40.4658i −0.451001 + 1.68316i
\(579\) −0.0297589 0.0297589i −0.00123674 0.00123674i
\(580\) 40.1989 + 40.1989i 1.66917 + 1.66917i
\(581\) −5.15780 11.3875i −0.213981 0.472431i
\(582\) 1.45510 0.840105i 0.0603160 0.0348235i
\(583\) 5.68705 + 21.2243i 0.235533 + 0.879023i
\(584\) 6.45871 11.1868i 0.267263 0.462914i
\(585\) 4.78665 + 25.9995i 0.197904 + 1.07495i
\(586\) 31.0754 17.9414i 1.28371 0.741153i
\(587\) 7.45089 + 1.99646i 0.307531 + 0.0824027i 0.409284 0.912407i \(-0.365778\pi\)
−0.101753 + 0.994810i \(0.532445\pi\)
\(588\) −0.942541 + 4.73201i −0.0388697 + 0.195145i
\(589\) −16.5176 9.53642i −0.680594 0.392941i
\(590\) −6.21858 + 23.2081i −0.256015 + 0.955460i
\(591\) 1.08806 + 0.291545i 0.0447569 + 0.0119926i
\(592\) 6.75629 + 1.81034i 0.277682 + 0.0744046i
\(593\) 2.65081 9.89297i 0.108856 0.406256i −0.889898 0.456159i \(-0.849225\pi\)
0.998754 + 0.0499035i \(0.0158914\pi\)
\(594\) 9.81446 + 5.66638i 0.402692 + 0.232495i
\(595\) −0.732265 0.0722184i −0.0300199 0.00296067i
\(596\) −30.0744 8.05842i −1.23190 0.330086i
\(597\) −0.787985 + 0.454944i −0.0322501 + 0.0186196i
\(598\) −1.05050 5.70598i −0.0429582 0.233335i
\(599\) 19.8784 34.4305i 0.812211 1.40679i −0.0991022 0.995077i \(-0.531597\pi\)
0.911313 0.411714i \(-0.135070\pi\)
\(600\) 0.244273 + 0.911638i 0.00997240 + 0.0372175i
\(601\) −5.65826 + 3.26680i −0.230805 + 0.133255i −0.610943 0.791674i \(-0.709210\pi\)
0.380138 + 0.924930i \(0.375876\pi\)
\(602\) −26.7135 + 37.2683i −1.08876 + 1.51894i
\(603\) 13.2219 + 13.2219i 0.538437 + 0.538437i
\(604\) −19.0456 19.0456i −0.774953 0.774953i
\(605\) −6.23847 + 23.2823i −0.253630 + 0.946560i
\(606\) 0.487216 + 1.81832i 0.0197918 + 0.0738640i
\(607\) 6.78544i 0.275413i −0.990473 0.137706i \(-0.956027\pi\)
0.990473 0.137706i \(-0.0439730\pi\)
\(608\) −1.42016 2.45979i −0.0575950 0.0997575i
\(609\) 0.410442 + 2.48803i 0.0166320 + 0.100820i
\(610\) 93.3456i 3.77945i
\(611\) 21.0103 3.86811i 0.849987 0.156487i
\(612\) 1.18395 + 0.683553i 0.0478583 + 0.0276310i
\(613\) −13.9748 13.9748i −0.564436 0.564436i 0.366128 0.930564i \(-0.380683\pi\)
−0.930564 + 0.366128i \(0.880683\pi\)
\(614\) 28.6096 + 16.5178i 1.15459 + 0.666603i
\(615\) −2.30335 + 3.98952i −0.0928800 + 0.160873i
\(616\) 57.9359 + 21.8142i 2.33430 + 0.878917i
\(617\) −2.05438 + 0.550470i −0.0827063 + 0.0221611i −0.299935 0.953960i \(-0.596965\pi\)
0.217229 + 0.976121i \(0.430298\pi\)
\(618\) −3.96346 + 3.96346i −0.159434 + 0.159434i
\(619\) −28.7560 + 7.70516i −1.15580 + 0.309696i −0.785288 0.619130i \(-0.787485\pi\)
−0.370514 + 0.928827i \(0.620819\pi\)
\(620\) −27.8902 48.3073i −1.12010 1.94007i
\(621\) −0.328973 + 0.569798i −0.0132012 + 0.0228652i
\(622\) −5.28614 + 19.7281i −0.211955 + 0.791027i
\(623\) −2.25605 + 22.8754i −0.0903868 + 0.916485i
\(624\) −0.218135 + 2.73003i −0.00873239 + 0.109288i
\(625\) −14.6290 25.3381i −0.585158 1.01352i
\(626\) 10.0309 10.0309i 0.400916 0.400916i
\(627\) 2.65027 0.105842
\(628\) 38.6794 1.54348
\(629\) −0.123927 + 0.123927i −0.00494130 + 0.00494130i
\(630\) 16.8579 44.7726i 0.671634 1.78378i
\(631\) 6.04595 + 22.5638i 0.240686 + 0.898251i 0.975503 + 0.219986i \(0.0706011\pi\)
−0.734817 + 0.678265i \(0.762732\pi\)
\(632\) −60.6352 16.2472i −2.41194 0.646277i
\(633\) −0.423987 + 0.244789i −0.0168520 + 0.00972949i
\(634\) 25.3915i 1.00842i
\(635\) 12.0780 3.23628i 0.479299 0.128428i
\(636\) 3.32342 0.131782
\(637\) −6.88616 + 24.2813i −0.272840 + 0.962059i
\(638\) 63.4349 2.51141
\(639\) 10.5957 2.83910i 0.419158 0.112313i
\(640\) 46.4394i 1.83568i
\(641\) −22.1576 + 12.7927i −0.875171 + 0.505280i −0.869063 0.494701i \(-0.835278\pi\)
−0.00610804 + 0.999981i \(0.501944\pi\)
\(642\) −3.32257 0.890280i −0.131131 0.0351366i
\(643\) 7.72960 + 28.8473i 0.304826 + 1.13763i 0.933095 + 0.359630i \(0.117097\pi\)
−0.628269 + 0.777996i \(0.716236\pi\)
\(644\) −2.48309 + 6.59479i −0.0978474 + 0.259871i
\(645\) −2.07051 + 2.07051i −0.0815261 + 0.0815261i
\(646\) 0.957284 0.0376638
\(647\) 2.82636 0.111115 0.0555577 0.998455i \(-0.482306\pi\)
0.0555577 + 0.998455i \(0.482306\pi\)
\(648\) −31.7461 + 31.7461i −1.24710 + 1.24710i
\(649\) 8.99679 + 15.5829i 0.353155 + 0.611683i
\(650\) 1.75260 + 9.51953i 0.0687425 + 0.373387i
\(651\) 0.242838 2.46228i 0.00951757 0.0965043i
\(652\) 19.5218 72.8563i 0.764532 2.85327i
\(653\) −13.0506 + 22.6043i −0.510711 + 0.884577i 0.489212 + 0.872165i \(0.337284\pi\)
−0.999923 + 0.0124119i \(0.996049\pi\)
\(654\) −2.80396 4.85661i −0.109644 0.189908i
\(655\) 13.5464 3.62975i 0.529302 0.141826i
\(656\) 35.1666 35.1666i 1.37303 1.37303i
\(657\) −7.22116 + 1.93490i −0.281724 + 0.0754878i
\(658\) −36.1809 13.6229i −1.41048 0.531077i
\(659\) −9.04837 + 15.6722i −0.352475 + 0.610504i −0.986682 0.162659i \(-0.947993\pi\)
0.634208 + 0.773163i \(0.281326\pi\)
\(660\) 6.71254 + 3.87549i 0.261285 + 0.150853i
\(661\) −1.00266 1.00266i −0.0389988 0.0389988i 0.687338 0.726337i \(-0.258779\pi\)
−0.726337 + 0.687338i \(0.758779\pi\)
\(662\) 37.0142 + 21.3702i 1.43860 + 0.830574i
\(663\) −0.0565072 0.0389356i −0.00219456 0.00151213i
\(664\) 24.2596i 0.941457i
\(665\) −3.65956 22.1837i −0.141912 0.860246i
\(666\) −5.69748 9.86833i −0.220773 0.382390i
\(667\) 3.68284i 0.142600i
\(668\) −17.3403 64.7149i −0.670917 2.50389i
\(669\) 0.819070 3.05681i 0.0316671 0.118183i
\(670\) 27.0769 + 27.0769i 1.04607 + 1.04607i
\(671\) −49.4313 49.4313i −1.90827 1.90827i
\(672\) 0.214659 0.299473i 0.00828064 0.0115524i
\(673\) −3.78674 + 2.18627i −0.145968 + 0.0842747i −0.571205 0.820807i \(-0.693524\pi\)
0.425237 + 0.905082i \(0.360191\pi\)
\(674\) −7.72770 28.8402i −0.297660 1.11088i
\(675\) 0.548839 0.950618i 0.0211248 0.0365893i
\(676\) −8.42623 + 52.3918i −0.324086 + 2.01507i
\(677\) −40.1930 + 23.2054i −1.54474 + 0.891857i −0.546212 + 0.837647i \(0.683931\pi\)
−0.998530 + 0.0542097i \(0.982736\pi\)
\(678\) 0.919654 + 0.246420i 0.0353191 + 0.00946372i
\(679\) −10.6233 1.04770i −0.407684 0.0402071i
\(680\) 1.23662 + 0.713966i 0.0474224 + 0.0273793i
\(681\) 0.278984 1.04118i 0.0106907 0.0398982i
\(682\) −60.1208 16.1093i −2.30214 0.616857i
\(683\) −3.75185 1.00531i −0.143561 0.0384669i 0.186323 0.982489i \(-0.440343\pi\)
−0.329884 + 0.944022i \(0.607010\pi\)
\(684\) −10.8116 + 40.3496i −0.413394 + 1.54281i
\(685\) −18.2594 10.5421i −0.697655 0.402791i
\(686\) 33.3479 31.2092i 1.27323 1.19157i
\(687\) −2.82285 0.756380i −0.107698 0.0288577i
\(688\) 27.3765 15.8058i 1.04372 0.602592i
\(689\) 17.3292 + 1.38464i 0.660190 + 0.0527507i
\(690\) −0.335240 + 0.580653i −0.0127624 + 0.0221051i
\(691\) 11.2460 + 41.9705i 0.427817 + 1.59663i 0.757695 + 0.652609i \(0.226326\pi\)
−0.329878 + 0.944024i \(0.607008\pi\)
\(692\) 64.4703 37.2219i 2.45079 1.41497i
\(693\) −14.7823 32.6365i −0.561532 1.23976i
\(694\) −5.00114 5.00114i −0.189841 0.189841i
\(695\) 19.9728 + 19.9728i 0.757611 + 0.757611i
\(696\) 1.26654 4.72680i 0.0480082 0.179169i
\(697\) 0.322522 + 1.20367i 0.0122164 + 0.0455922i
\(698\) 29.7297i 1.12529i
\(699\) 0.105981 + 0.183564i 0.00400857 + 0.00694305i
\(700\) 4.14264 11.0024i 0.156577 0.415851i
\(701\) 33.2095i 1.25430i 0.778897 + 0.627152i \(0.215780\pi\)
−0.778897 + 0.627152i \(0.784220\pi\)
\(702\) 6.82486 5.81491i 0.257588 0.219470i
\(703\) −4.63774 2.67760i −0.174916 0.100988i
\(704\) 22.4368 + 22.4368i 0.845618 + 0.845618i
\(705\) −2.13806 1.23441i −0.0805239 0.0464905i
\(706\) 37.6168 65.1542i 1.41573 2.45211i
\(707\) 4.21429 11.1927i 0.158495 0.420943i
\(708\) 2.62879 0.704383i 0.0987961 0.0264723i
\(709\) 15.6940 15.6940i 0.589402 0.589402i −0.348068 0.937469i \(-0.613162\pi\)
0.937469 + 0.348068i \(0.113162\pi\)
\(710\) 21.6987 5.81415i 0.814338 0.218201i
\(711\) 18.1651 + 31.4629i 0.681246 + 1.17995i
\(712\) 22.3038 38.6313i 0.835869 1.44777i
\(713\) 0.935257 3.49043i 0.0350256 0.130717i
\(714\) 0.0512367 + 0.113121i 0.00191748 + 0.00423345i
\(715\) 33.3863 + 23.0045i 1.24858 + 0.860319i
\(716\) 48.1299 + 83.3634i 1.79870 + 3.11544i
\(717\) −1.45125 + 1.45125i −0.0541978 + 0.0541978i
\(718\) −44.1457 −1.64750
\(719\) −28.4290 −1.06022 −0.530111 0.847928i \(-0.677850\pi\)
−0.530111 + 0.847928i \(0.677850\pi\)
\(720\) −23.3218 + 23.3218i −0.869153 + 0.869153i
\(721\) 35.1363 5.79632i 1.30854 0.215866i
\(722\) −4.55687 17.0065i −0.169589 0.632915i
\(723\) −0.396335 0.106198i −0.0147399 0.00394953i
\(724\) −16.4429 + 9.49330i −0.611095 + 0.352816i
\(725\) 6.14424i 0.228191i
\(726\) 3.92934 1.05286i 0.145831 0.0390754i
\(727\) 0.462661 0.0171591 0.00857957 0.999963i \(-0.497269\pi\)
0.00857957 + 0.999963i \(0.497269\pi\)
\(728\) 31.6142 37.4092i 1.17170 1.38648i
\(729\) 25.4724 0.943422
\(730\) −14.7881 + 3.96246i −0.547332 + 0.146657i
\(731\) 0.792073i 0.0292959i
\(732\) −9.15678 + 5.28667i −0.338444 + 0.195401i
\(733\) −35.0168 9.38272i −1.29337 0.346559i −0.454433 0.890781i \(-0.650158\pi\)
−0.838941 + 0.544222i \(0.816825\pi\)
\(734\) 4.61573 + 17.2261i 0.170370 + 0.635828i
\(735\) 2.42555 1.61978i 0.0894677 0.0597466i
\(736\) 0.380514 0.380514i 0.0140259 0.0140259i
\(737\) 28.6772 1.05634
\(738\) −81.0204 −2.98240
\(739\) −1.03780 + 1.03780i −0.0381762 + 0.0381762i −0.725937 0.687761i \(-0.758594\pi\)
0.687761 + 0.725937i \(0.258594\pi\)
\(740\) −7.83091 13.5635i −0.287870 0.498605i
\(741\) 0.702289 1.97571i 0.0257992 0.0725794i
\(742\) −25.5698 18.3281i −0.938695 0.672845i
\(743\) 0.513502 1.91642i 0.0188386 0.0703065i −0.955867 0.293801i \(-0.905080\pi\)
0.974705 + 0.223494i \(0.0717464\pi\)
\(744\) −2.40074 + 4.15821i −0.0880156 + 0.152447i
\(745\) 9.41059 + 16.2996i 0.344777 + 0.597172i
\(746\) 58.1655 15.5854i 2.12959 0.570622i
\(747\) 9.92790 9.92790i 0.363243 0.363243i
\(748\) 2.02523 0.542658i 0.0740496 0.0198415i
\(749\) 13.8617 + 16.8950i 0.506496 + 0.617332i
\(750\) −2.00962 + 3.48077i −0.0733810 + 0.127100i
\(751\) 15.7481 + 9.09216i 0.574656 + 0.331778i 0.759007 0.651083i \(-0.225685\pi\)
−0.184351 + 0.982860i \(0.559018\pi\)
\(752\) 18.8465 + 18.8465i 0.687260 + 0.687260i
\(753\) 2.32462 + 1.34212i 0.0847137 + 0.0489095i
\(754\) 16.8095 47.2891i 0.612165 1.72217i
\(755\) 16.2818i 0.592554i
\(756\) −10.7448 + 1.77253i −0.390784 + 0.0644663i
\(757\) 2.77153 + 4.80044i 0.100733 + 0.174475i 0.911987 0.410219i \(-0.134548\pi\)
−0.811254 + 0.584694i \(0.801215\pi\)
\(758\) 21.6373i 0.785903i
\(759\) 0.129959 + 0.485013i 0.00471720 + 0.0176048i
\(760\) −11.2927 + 42.1449i −0.409629 + 1.52876i
\(761\) −31.1987 31.1987i −1.13095 1.13095i −0.990019 0.140931i \(-0.954990\pi\)
−0.140931 0.990019i \(-0.545010\pi\)
\(762\) −1.49221 1.49221i −0.0540569 0.0540569i
\(763\) −3.49685 + 35.4566i −0.126594 + 1.28362i
\(764\) 27.2183 15.7145i 0.984725 0.568531i
\(765\) −0.213890 0.798250i −0.00773322 0.0288608i
\(766\) 21.6907 37.5693i 0.783715 1.35743i
\(767\) 14.0007 2.57760i 0.505536 0.0930719i
\(768\) 4.75111 2.74306i 0.171441 0.0989815i
\(769\) −27.2136 7.29187i −0.981348 0.262951i −0.267736 0.963492i \(-0.586275\pi\)
−0.713612 + 0.700541i \(0.752942\pi\)
\(770\) −30.2723 66.8357i −1.09094 2.40859i
\(771\) −2.07572 1.19842i −0.0747552 0.0431599i
\(772\) 0.263307 0.982674i 0.00947661 0.0353672i
\(773\) 20.0346 + 5.36825i 0.720593 + 0.193082i 0.600436 0.799673i \(-0.294994\pi\)
0.120157