Properties

Label 91.2.ba.a.89.7
Level $91$
Weight $2$
Character 91.89
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.ba (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 89.7
Character \(\chi\) \(=\) 91.89
Dual form 91.2.ba.a.45.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.74384 + 1.74384i) q^{2} +(-0.146239 - 0.0844309i) q^{3} +4.08193i q^{4} +(-0.638637 - 2.38343i) q^{5} +(-0.107782 - 0.402250i) q^{6} +(-2.04541 - 1.67818i) q^{7} +(-3.63054 + 3.63054i) q^{8} +(-1.48574 - 2.57338i) q^{9} +O(q^{10})\) \(q+(1.74384 + 1.74384i) q^{2} +(-0.146239 - 0.0844309i) q^{3} +4.08193i q^{4} +(-0.638637 - 2.38343i) q^{5} +(-0.107782 - 0.402250i) q^{6} +(-2.04541 - 1.67818i) q^{7} +(-3.63054 + 3.63054i) q^{8} +(-1.48574 - 2.57338i) q^{9} +(3.04263 - 5.26998i) q^{10} +(1.17950 + 4.40195i) 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} -4.49827 q^{16} +0.112710 q^{17} +(1.89666 - 7.07845i) q^{18} +(-3.32660 - 0.891360i) q^{19} +(9.72897 - 2.60687i) q^{20} +(0.157428 + 0.418111i) q^{21} +(-5.61943 + 9.73314i) q^{22} +0.652493i q^{23} +(0.837454 - 0.224395i) q^{24} +(-0.942740 + 0.544291i) q^{25} +(-2.97816 + 8.37828i) q^{26} +1.00836i q^{27} +(6.85021 - 8.34922i) q^{28} +(-2.82213 - 4.88807i) q^{29} +(-0.889899 + 0.513783i) q^{30} +(5.34937 + 1.43336i) q^{31} +(-0.583169 - 0.583169i) q^{32} +(0.199172 - 0.743322i) q^{33} +(0.196548 + 0.196548i) q^{34} +(-2.69354 + 5.94684i) q^{35} +(10.5044 - 6.06469i) q^{36} +(1.09952 - 1.09952i) q^{37} +(-4.24666 - 7.35543i) q^{38} +(0.0484931 - 0.606906i) q^{39} +(10.9717 + 6.33453i) q^{40} +(-10.6793 - 2.86152i) q^{41} +(-0.454588 + 1.00365i) q^{42} +(6.08601 + 3.51376i) q^{43} +(-17.9684 + 4.81463i) q^{44} +(-5.18462 + 5.18462i) q^{45} +(-1.13784 + 1.13784i) q^{46} +(-5.72325 + 1.53354i) q^{47} +(0.657821 + 0.379793i) q^{48} +(1.36743 + 6.86514i) q^{49} +(-2.59314 - 0.694830i) q^{50} +(-0.0164826 - 0.00951622i) q^{51} +(-13.2914 + 6.32024i) q^{52} +(-2.41079 - 4.17561i) q^{53} +(-1.75841 + 1.75841i) q^{54} +(9.73846 - 5.62250i) q^{55} +(13.5186 - 1.33325i) q^{56} +(0.411219 + 0.411219i) q^{57} +(3.60266 - 13.4453i) q^{58} +(2.79191 + 2.79191i) q^{59} +(-1.64285 - 0.440201i) q^{60} +(13.2845 - 7.66982i) q^{61} +(6.82887 + 11.8280i) q^{62} +(-1.27964 + 7.75697i) q^{63} +6.96264i q^{64} +(6.77201 - 5.76988i) q^{65} +(1.64355 - 0.948907i) q^{66} +(-6.07826 + 1.62866i) q^{67} +0.460075i q^{68} +(0.0550906 - 0.0954197i) q^{69} +(-15.0674 + 5.67322i) q^{70} +(3.56578 - 0.955449i) q^{71} +(14.7368 + 3.94872i) q^{72} +(-0.651157 + 2.43015i) q^{73} +3.83477 q^{74} +0.183820 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} +(2.87276 + 10.7213i) q^{80} +(-4.37209 + 7.57269i) q^{81} +(-13.6330 - 23.6130i) q^{82} +(-3.34105 + 3.34105i) q^{83} +(-1.70670 + 0.642610i) q^{84} +(-0.0719809 - 0.268637i) q^{85} +(4.48558 + 16.7404i) q^{86} +0.953099i q^{87} +(-20.2637 - 11.6992i) q^{88} +(-6.14338 - 6.14338i) q^{89} -18.0822 q^{90} +(2.29743 - 9.25861i) q^{91} -2.66343 q^{92} +(-0.661264 - 0.661264i) q^{93} +(-12.6547 - 7.30617i) q^{94} +8.49797i q^{95} +(0.0360444 + 0.134519i) q^{96} +(1.04426 + 3.89722i) q^{97} +(-9.58711 + 14.3562i) q^{98} +(9.57547 - 9.57547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.74384 + 1.74384i 1.23308 + 1.23308i 0.962775 + 0.270303i \(0.0871238\pi\)
0.270303 + 0.962775i \(0.412876\pi\)
\(3\) −0.146239 0.0844309i −0.0844309 0.0487462i 0.457190 0.889369i \(-0.348856\pi\)
−0.541621 + 0.840623i \(0.682189\pi\)
\(4\) 4.08193i 2.04096i
\(5\) −0.638637 2.38343i −0.285607 1.06590i −0.948394 0.317093i \(-0.897293\pi\)
0.662787 0.748808i \(-0.269373\pi\)
\(6\) −0.107782 0.402250i −0.0440020 0.164218i
\(7\) −2.04541 1.67818i −0.773093 0.634292i
\(8\) −3.63054 + 3.63054i −1.28359 + 1.28359i
\(9\) −1.48574 2.57338i −0.495248 0.857794i
\(10\) 3.04263 5.26998i 0.962163 1.66652i
\(11\) 1.17950 + 4.40195i 0.355633 + 1.32724i 0.879687 + 0.475554i \(0.157752\pi\)
−0.524054 + 0.851685i \(0.675581\pi\)
\(12\) 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
\(16\) −4.49827 −1.12457
\(17\) 0.112710 0.0273362 0.0136681 0.999907i \(-0.495649\pi\)
0.0136681 + 0.999907i \(0.495649\pi\)
\(18\) 1.89666 7.07845i 0.447048 1.66841i
\(19\) −3.32660 0.891360i −0.763175 0.204492i −0.143820 0.989604i \(-0.545939\pi\)
−0.619354 + 0.785112i \(0.712605\pi\)
\(20\) 9.72897 2.60687i 2.17546 0.582914i
\(21\) 0.157428 + 0.418111i 0.0343536 + 0.0912392i
\(22\) −5.61943 + 9.73314i −1.19807 + 2.07511i
\(23\) 0.652493i 0.136054i 0.997683 + 0.0680271i \(0.0216704\pi\)
−0.997683 + 0.0680271i \(0.978330\pi\)
\(24\) 0.837454 0.224395i 0.170945 0.0458045i
\(25\) −0.942740 + 0.544291i −0.188548 + 0.108858i
\(26\) −2.97816 + 8.37828i −0.584065 + 1.64312i
\(27\) 1.00836i 0.194058i
\(28\) 6.85021 8.34922i 1.29457 1.57785i
\(29\) −2.82213 4.88807i −0.524056 0.907691i −0.999608 0.0280035i \(-0.991085\pi\)
0.475552 0.879688i \(-0.342248\pi\)
\(30\) −0.889899 + 0.513783i −0.162473 + 0.0938036i
\(31\) 5.34937 + 1.43336i 0.960774 + 0.257439i 0.704928 0.709279i \(-0.250979\pi\)
0.255846 + 0.966717i \(0.417646\pi\)
\(32\) −0.583169 0.583169i −0.103091 0.103091i
\(33\) 0.199172 0.743322i 0.0346715 0.129396i
\(34\) 0.196548 + 0.196548i 0.0337077 + 0.0337077i
\(35\) −2.69354 + 5.94684i −0.455292 + 1.00520i
\(36\) 10.5044 6.06469i 1.75073 1.01078i
\(37\) 1.09952 1.09952i 0.180760 0.180760i −0.610927 0.791687i \(-0.709203\pi\)
0.791687 + 0.610927i \(0.209203\pi\)
\(38\) −4.24666 7.35543i −0.688899 1.19321i
\(39\) 0.0484931 0.606906i 0.00776511 0.0971827i
\(40\) 10.9717 + 6.33453i 1.73478 + 1.00158i
\(41\) −10.6793 2.86152i −1.66783 0.446894i −0.703306 0.710887i \(-0.748294\pi\)
−0.964525 + 0.263993i \(0.914960\pi\)
\(42\) −0.454588 + 1.00365i −0.0701444 + 0.154866i
\(43\) 6.08601 + 3.51376i 0.928108 + 0.535843i 0.886213 0.463279i \(-0.153327\pi\)
0.0418951 + 0.999122i \(0.486660\pi\)
\(44\) −17.9684 + 4.81463i −2.70885 + 0.725833i
\(45\) −5.18462 + 5.18462i −0.772877 + 0.772877i
\(46\) −1.13784 + 1.13784i −0.167766 + 0.167766i
\(47\) −5.72325 + 1.53354i −0.834822 + 0.223690i −0.650816 0.759235i \(-0.725573\pi\)
−0.184006 + 0.982925i \(0.558907\pi\)
\(48\) 0.657821 + 0.379793i 0.0949483 + 0.0548184i
\(49\) 1.36743 + 6.86514i 0.195347 + 0.980734i
\(50\) −2.59314 0.694830i −0.366725 0.0982637i
\(51\) −0.0164826 0.00951622i −0.00230802 0.00133254i
\(52\) −13.2914 + 6.32024i −1.84319 + 0.876459i
\(53\) −2.41079 4.17561i −0.331147 0.573564i 0.651590 0.758571i \(-0.274102\pi\)
−0.982737 + 0.185008i \(0.940769\pi\)
\(54\) −1.75841 + 1.75841i −0.239289 + 0.239289i
\(55\) 9.73846 5.62250i 1.31313 0.758138i
\(56\) 13.5186 1.33325i 1.80650 0.178163i
\(57\) 0.411219 + 0.411219i 0.0544673 + 0.0544673i
\(58\) 3.60266 13.4453i 0.473052 1.76546i
\(59\) 2.79191 + 2.79191i 0.363476 + 0.363476i 0.865091 0.501615i \(-0.167261\pi\)
−0.501615 + 0.865091i \(0.667261\pi\)
\(60\) −1.64285 0.440201i −0.212091 0.0568297i
\(61\) 13.2845 7.66982i 1.70091 0.982020i 0.756067 0.654495i \(-0.227119\pi\)
0.944842 0.327526i \(-0.106215\pi\)
\(62\) 6.82887 + 11.8280i 0.867268 + 1.50215i
\(63\) −1.27964 + 7.75697i −0.161220 + 0.977287i
\(64\) 6.96264i 0.870330i
\(65\) 6.77201 5.76988i 0.839964 0.715666i
\(66\) 1.64355 0.948907i 0.202308 0.116802i
\(67\) −6.07826 + 1.62866i −0.742577 + 0.198973i −0.610223 0.792230i \(-0.708920\pi\)
−0.132354 + 0.991203i \(0.542254\pi\)
\(68\) 0.460075i 0.0557923i
\(69\) 0.0550906 0.0954197i 0.00663213 0.0114872i
\(70\) −15.0674 + 5.67322i −1.80090 + 0.678079i
\(71\) 3.56578 0.955449i 0.423181 0.113391i −0.0409427 0.999161i \(-0.513036\pi\)
0.464123 + 0.885771i \(0.346369\pi\)
\(72\) 14.7368 + 3.94872i 1.73675 + 0.465361i
\(73\) −0.651157 + 2.43015i −0.0762122 + 0.284428i −0.993505 0.113785i \(-0.963703\pi\)
0.917293 + 0.398212i \(0.130369\pi\)
\(74\) 3.83477 0.445783
\(75\) 0.183820 0.0212257
\(76\) 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 −0.284770 0.958596i \(-0.591917\pi\)
0.972553 0.232680i \(-0.0747493\pi\)
\(80\) 2.87276 + 10.7213i 0.321185 + 1.19868i
\(81\) −4.37209 + 7.57269i −0.485788 + 0.841410i
\(82\) −13.6330 23.6130i −1.50551 2.60762i
\(83\) −3.34105 + 3.34105i −0.366728 + 0.366728i −0.866283 0.499554i \(-0.833497\pi\)
0.499554 + 0.866283i \(0.333497\pi\)
\(84\) −1.70670 + 0.642610i −0.186216 + 0.0701145i
\(85\) −0.0719809 0.268637i −0.00780743 0.0291377i
\(86\) 4.48558 + 16.7404i 0.483693 + 1.80517i
\(87\) 0.953099i 0.102183i
\(88\) −20.2637 11.6992i −2.16011 1.24714i
\(89\) −6.14338 6.14338i −0.651197 0.651197i 0.302084 0.953281i \(-0.402318\pi\)
−0.953281 + 0.302084i \(0.902318\pi\)
\(90\) −18.0822 −1.90604
\(91\) 2.29743 9.25861i 0.240836 0.970566i
\(92\) −2.66343 −0.277682
\(93\) −0.661264 0.661264i −0.0685699 0.0685699i
\(94\) −12.6547 7.30617i −1.30523 0.753574i
\(95\) 8.49797i 0.871873i
\(96\) 0.0360444 + 0.134519i 0.00367876 + 0.0137293i
\(97\) 1.04426 + 3.89722i 0.106028 + 0.395703i 0.998460 0.0554799i \(-0.0176689\pi\)
−0.892431 + 0.451183i \(0.851002\pi\)
\(98\) −9.58711 + 14.3562i −0.968444 + 1.45020i
\(99\) 9.57547 9.57547i 0.962371 0.962371i
\(100\) −2.22176 3.84820i −0.222176 0.384820i
\(101\) 2.26018 3.91475i 0.224897 0.389532i −0.731392 0.681957i \(-0.761129\pi\)
0.956288 + 0.292425i \(0.0944622\pi\)
\(102\) −0.0121482 0.0453376i −0.00120285 0.00448910i
\(103\) −6.72989 + 11.6565i −0.663115 + 1.14855i 0.316677 + 0.948533i \(0.397433\pi\)
−0.979793 + 0.200016i \(0.935901\pi\)
\(104\) −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
\(107\) 8.25997 0.798521 0.399261 0.916837i \(-0.369267\pi\)
0.399261 + 0.916837i \(0.369267\pi\)
\(108\) −4.11603 −0.396066
\(109\) 3.48535 13.0075i 0.333836 1.24589i −0.571289 0.820749i \(-0.693557\pi\)
0.905125 0.425145i \(-0.139777\pi\)
\(110\) 26.7870 + 7.17755i 2.55404 + 0.684353i
\(111\) −0.253626 + 0.0679589i −0.0240731 + 0.00645037i
\(112\) 9.20082 + 7.54891i 0.869396 + 0.713305i
\(113\) 1.14314 1.97997i 0.107537 0.186260i −0.807235 0.590231i \(-0.799037\pi\)
0.914772 + 0.403970i \(0.132370\pi\)
\(114\) 1.43420i 0.134325i
\(115\) 1.55517 0.416707i 0.145020 0.0388581i
\(116\) 19.9527 11.5197i 1.85256 1.06958i
\(117\) 6.07892 8.82231i 0.561996 0.815623i
\(118\) 9.73726i 0.896388i
\(119\) −0.230539 0.189148i −0.0211335 0.0173392i
\(120\) −1.06966 1.85270i −0.0976461 0.169128i
\(121\) −8.45969 + 4.88420i −0.769063 + 0.444018i
\(122\) 36.5409 + 9.79112i 3.30826 + 0.886446i
\(123\) 1.32013 + 1.32013i 0.119032 + 0.119032i
\(124\) −5.85086 + 21.8357i −0.525423 + 1.96091i
\(125\) −6.82460 6.82460i −0.610411 0.610411i
\(126\) −15.7584 + 11.2954i −1.40387 + 1.00627i
\(127\) −4.38857 + 2.53374i −0.389422 + 0.224833i −0.681910 0.731436i \(-0.738850\pi\)
0.292488 + 0.956269i \(0.405517\pi\)
\(128\) −13.3080 + 13.3080i −1.17628 + 1.17628i
\(129\) −0.593340 1.02769i −0.0522406 0.0904834i
\(130\) 21.8710 + 1.74754i 1.91821 + 0.153269i
\(131\) −4.92213 2.84179i −0.430048 0.248288i 0.269319 0.963051i \(-0.413201\pi\)
−0.699367 + 0.714763i \(0.746535\pi\)
\(132\) 3.03418 + 0.813007i 0.264092 + 0.0707632i
\(133\) 5.30841 + 7.40583i 0.460297 + 0.642167i
\(134\) −13.4396 7.75936i −1.16100 0.670306i
\(135\) 2.40334 0.643974i 0.206847 0.0554244i
\(136\) −0.409199 + 0.409199i −0.0350885 + 0.0350885i
\(137\) −6.04202 + 6.04202i −0.516205 + 0.516205i −0.916421 0.400216i \(-0.868935\pi\)
0.400216 + 0.916421i \(0.368935\pi\)
\(138\) 0.262465 0.0703274i 0.0223425 0.00598666i
\(139\) 9.91348 + 5.72355i 0.840850 + 0.485465i 0.857553 0.514395i \(-0.171984\pi\)
−0.0167030 + 0.999860i \(0.505317\pi\)
\(140\) −24.2746 10.9948i −2.05158 0.929234i
\(141\) 0.966439 + 0.258957i 0.0813888 + 0.0218081i
\(142\) 7.88429 + 4.55200i 0.661635 + 0.381995i
\(143\) −12.5072 + 10.6564i −1.04591 + 0.891133i
\(144\) 6.68327 + 11.5758i 0.556939 + 0.964647i
\(145\) −9.84803 + 9.84803i −0.817835 + 0.817835i
\(146\) −5.37330 + 3.10227i −0.444697 + 0.256746i
\(147\) 0.379660 1.11940i 0.0313138 0.0923267i
\(148\) 4.48817 + 4.48817i 0.368925 + 0.368925i
\(149\) −1.97417 + 7.36771i −0.161730 + 0.603586i 0.836704 + 0.547655i \(0.184479\pi\)
−0.998435 + 0.0559311i \(0.982187\pi\)
\(150\) 0.320552 + 0.320552i 0.0261730 + 0.0261730i
\(151\) 6.37363 + 1.70781i 0.518679 + 0.138980i 0.508656 0.860970i \(-0.330143\pi\)
0.0100235 + 0.999950i \(0.496809\pi\)
\(152\) 15.3135 8.84123i 1.24209 0.717119i
\(153\) −0.167458 0.290046i −0.0135382 0.0234489i
\(154\) 27.8280 10.4779i 2.24244 0.844331i
\(155\) 13.6652i 1.09762i
\(156\) 2.47734 + 0.197945i 0.198346 + 0.0158483i
\(157\) 8.20626 4.73788i 0.654931 0.378124i −0.135412 0.990789i \(-0.543236\pi\)
0.790343 + 0.612665i \(0.209903\pi\)
\(158\) 29.1246 7.80390i 2.31703 0.620845i
\(159\) 0.814180i 0.0645687i
\(160\) −1.01751 + 1.76238i −0.0804411 + 0.139328i
\(161\) 1.09500 1.33462i 0.0862982 0.105183i
\(162\) −20.8297 + 5.58131i −1.63654 + 0.438509i
\(163\) −17.8485 4.78249i −1.39800 0.374594i −0.520376 0.853937i \(-0.674208\pi\)
−0.877627 + 0.479344i \(0.840875\pi\)
\(164\) 11.6805 43.5922i 0.912094 3.40398i
\(165\) −1.89885 −0.147825
\(166\) −11.6525 −0.904409
\(167\) −4.24807 + 15.8540i −0.328725 + 1.22682i 0.581788 + 0.813341i \(0.302353\pi\)
−0.910513 + 0.413480i \(0.864313\pi\)
\(168\) −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
\(171\) 2.64866 + 9.88495i 0.202548 + 0.755921i
\(172\) −14.3429 + 24.8426i −1.09364 + 1.89423i
\(173\) 9.11872 + 15.7941i 0.693283 + 1.20080i 0.970756 + 0.240068i \(0.0771698\pi\)
−0.277473 + 0.960733i \(0.589497\pi\)
\(174\) −1.66205 + 1.66205i −0.125999 + 0.125999i
\(175\) 2.84171 + 0.468787i 0.214813 + 0.0354370i
\(176\) −5.30571 19.8012i −0.399933 1.49257i
\(177\) −0.172561 0.644008i −0.0129705 0.0484066i
\(178\) 21.4261i 1.60595i
\(179\) −20.4226 11.7910i −1.52645 0.881299i −0.999507 0.0314008i \(-0.990003\pi\)
−0.526947 0.849898i \(-0.676663\pi\)
\(180\) −21.1632 21.1632i −1.57741 1.57741i
\(181\) 4.65138 0.345735 0.172867 0.984945i \(-0.444697\pi\)
0.172867 + 0.984945i \(0.444697\pi\)
\(182\) 20.1518 12.1392i 1.49375 0.899814i
\(183\) −2.59028 −0.191479
\(184\) −2.36890 2.36890i −0.174638 0.174638i
\(185\) −3.32282 1.91843i −0.244299 0.141046i
\(186\) 2.30627i 0.169104i
\(187\) 0.132942 + 0.496145i 0.00972165 + 0.0362817i
\(188\) −6.25980 23.3619i −0.456543 1.70384i
\(189\) 1.69220 2.06250i 0.123090 0.150025i
\(190\) −14.8191 + 14.8191i −1.07509 + 1.07509i
\(191\) −3.84978 6.66801i −0.278560 0.482480i 0.692467 0.721450i \(-0.256524\pi\)
−0.971027 + 0.238969i \(0.923190\pi\)
\(192\) 0.587862 1.01821i 0.0424253 0.0734827i
\(193\) 0.0645055 + 0.240738i 0.00464321 + 0.0173287i 0.968209 0.250144i \(-0.0804781\pi\)
−0.963565 + 0.267473i \(0.913811\pi\)
\(194\) −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 \(0.159706\pi\)
\(198\) 33.3961 2.37336
\(199\) −5.38835 −0.381970 −0.190985 0.981593i \(-0.561168\pi\)
−0.190985 + 0.981593i \(0.561168\pi\)
\(200\) 1.44658 5.39873i 0.102289 0.381748i
\(201\) 1.02639 + 0.275019i 0.0723956 + 0.0193984i
\(202\) 10.7681 2.88530i 0.757639 0.203009i
\(203\) −2.43064 + 14.7341i −0.170598 + 1.03413i
\(204\) 0.0388445 0.0672807i 0.00271966 0.00471059i
\(205\) 27.2809i 1.90538i
\(206\) −32.0628 + 8.59121i −2.23392 + 0.598578i
\(207\) 1.67912 0.969438i 0.116707 0.0673806i
\(208\) −6.96488 14.6471i −0.482928 1.01560i
\(209\) 15.6949i 1.08564i
\(210\) 2.68243 + 0.442511i 0.185105 + 0.0305362i
\(211\) −1.44964 2.51085i −0.0997974 0.172854i 0.811803 0.583931i \(-0.198486\pi\)
−0.911601 + 0.411077i \(0.865153\pi\)
\(212\) 17.0445 9.84066i 1.17062 0.675859i
\(213\) −0.602125 0.161339i −0.0412569 0.0110548i
\(214\) 14.4040 + 14.4040i 0.984639 + 0.984639i
\(215\) 4.48804 16.7496i 0.306081 1.14231i
\(216\) −3.66087 3.66087i −0.249091 0.249091i
\(217\) −8.53623 11.9090i −0.579477 0.808436i
\(218\) 28.7608 16.6051i 1.94793 1.12464i
\(219\) 0.300404 0.300404i 0.0202994 0.0202994i
\(220\) 22.9506 + 39.7517i 1.54733 + 2.68006i
\(221\) 0.174514 + 0.367003i 0.0117391 + 0.0246873i
\(222\) −0.560791 0.323773i −0.0376379 0.0217302i
\(223\) −18.1024 4.85053i −1.21223 0.324816i −0.404593 0.914497i \(-0.632587\pi\)
−0.807636 + 0.589681i \(0.799253\pi\)
\(224\) 0.214159 + 2.17148i 0.0143091 + 0.145088i
\(225\) 2.80134 + 1.61735i 0.186756 + 0.107824i
\(226\) 5.44619 1.45930i 0.362275 0.0970714i
\(227\) 4.51374 4.51374i 0.299587 0.299587i −0.541265 0.840852i \(-0.682054\pi\)
0.840852 + 0.541265i \(0.182054\pi\)
\(228\) −1.67857 + 1.67857i −0.111166 + 0.111166i
\(229\) 16.7169 4.47928i 1.10468 0.295999i 0.340014 0.940420i \(-0.389568\pi\)
0.764671 + 0.644421i \(0.222902\pi\)
\(230\) 3.43863 + 1.98529i 0.226737 + 0.130906i
\(231\) −1.65482 + 1.18615i −0.108879 + 0.0780431i
\(232\) 27.9921 + 7.50047i 1.83777 + 0.492430i
\(233\) 1.08707 + 0.627620i 0.0712163 + 0.0411167i 0.535185 0.844735i \(-0.320242\pi\)
−0.463969 + 0.885851i \(0.653575\pi\)
\(234\) 25.9853 4.78403i 1.69871 0.312742i
\(235\) 7.31017 + 12.6616i 0.476863 + 0.825950i
\(236\) −11.3964 + 11.3964i −0.741840 + 0.741840i
\(237\) −1.78796 + 1.03228i −0.116140 + 0.0670536i
\(238\) −0.0721789 0.731865i −0.00467866 0.0474398i
\(239\) −8.59429 8.59429i −0.555918 0.555918i 0.372225 0.928143i \(-0.378595\pi\)
−0.928143 + 0.372225i \(0.878595\pi\)
\(240\) 0.485100 1.81042i 0.0313131 0.116862i
\(241\) −1.71820 1.71820i −0.110679 0.110679i 0.649599 0.760277i \(-0.274937\pi\)
−0.760277 + 0.649599i \(0.774937\pi\)
\(242\) −23.2696 6.23506i −1.49582 0.400805i
\(243\) 3.89852 2.25081i 0.250090 0.144390i
\(244\) 31.3077 + 54.2264i 2.00427 + 3.47149i
\(245\) 15.4893 7.64349i 0.989573 0.488325i
\(246\) 4.60418i 0.293552i
\(247\) −2.24831 12.2121i −0.143057 0.777037i
\(248\) −24.6249 + 14.2172i −1.56368 + 0.902794i
\(249\) 0.770679 0.206503i 0.0488398 0.0130866i
\(250\) 23.8020i 1.50537i
\(251\) 7.94802 13.7664i 0.501675 0.868926i −0.498323 0.866991i \(-0.666051\pi\)
0.999998 0.00193499i \(-0.000615928\pi\)
\(252\) −31.6634 5.22340i −1.99461 0.329043i
\(253\) −2.87225 + 0.769616i −0.180577 + 0.0483853i
\(254\) −12.0714 3.23451i −0.757425 0.202951i
\(255\) −0.0121548 + 0.0453624i −0.000761165 + 0.00284071i
\(256\) −32.4888 −2.03055
\(257\) 14.1941 0.885401 0.442701 0.896670i \(-0.354020\pi\)
0.442701 + 0.896670i \(0.354020\pi\)
\(258\) 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
\(262\) −3.62776 13.5390i −0.224124 0.836442i
\(263\) 9.46835 16.3997i 0.583843 1.01125i −0.411175 0.911556i \(-0.634882\pi\)
0.995019 0.0996901i \(-0.0317851\pi\)
\(264\) 1.97555 + 3.42176i 0.121587 + 0.210595i
\(265\) −8.41264 + 8.41264i −0.516784 + 0.516784i
\(266\) −3.65756 + 22.1716i −0.224260 + 1.35942i
\(267\) 0.379708 + 1.41709i 0.0232378 + 0.0867245i
\(268\) −6.64809 24.8110i −0.406096 1.51557i
\(269\) 24.2202i 1.47673i 0.674400 + 0.738366i \(0.264402\pi\)
−0.674400 + 0.738366i \(0.735598\pi\)
\(270\) 5.31402 + 3.06805i 0.323401 + 0.186716i
\(271\) 11.1386 + 11.1386i 0.676624 + 0.676624i 0.959235 0.282610i \(-0.0912004\pi\)
−0.282610 + 0.959235i \(0.591200\pi\)
\(272\) −0.507001 −0.0307414
\(273\) −1.11769 + 1.15999i −0.0676454 + 0.0702059i
\(274\) −21.0726 −1.27304
\(275\) −3.50791 3.50791i −0.211535 0.211535i
\(276\) 0.389496 + 0.224876i 0.0234449 + 0.0135359i
\(277\) 0.746768i 0.0448689i 0.999748 + 0.0224345i \(0.00714171\pi\)
−0.999748 + 0.0224345i \(0.992858\pi\)
\(278\) 7.30655 + 27.2684i 0.438218 + 1.63545i
\(279\) −4.25920 15.8956i −0.254992 0.951643i
\(280\) −11.8112 31.3692i −0.705856 1.87467i
\(281\) −0.536856 + 0.536856i −0.0320261 + 0.0320261i −0.722939 0.690912i \(-0.757209\pi\)
0.690912 + 0.722939i \(0.257209\pi\)
\(282\) 1.23373 + 2.13689i 0.0734677 + 0.127250i
\(283\) 9.63432 16.6871i 0.572701 0.991947i −0.423587 0.905856i \(-0.639229\pi\)
0.996287 0.0860911i \(-0.0274376\pi\)
\(284\) 3.90007 + 14.5553i 0.231427 + 0.863696i
\(285\) 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
\(289\) −16.9873 −0.999253
\(290\) −34.3467 −2.01691
\(291\) 0.176335 0.658092i 0.0103370 0.0385780i
\(292\) −9.91970 2.65798i −0.580507 0.155546i
\(293\) 14.0543 3.76584i 0.821062 0.220003i 0.176251 0.984345i \(-0.443603\pi\)
0.644811 + 0.764342i \(0.276936\pi\)
\(294\) 2.61412 1.28999i 0.152458 0.0752337i
\(295\) 4.87129 8.43733i 0.283618 0.491240i
\(296\) 7.98371i 0.464044i
\(297\) −4.43873 + 1.18936i −0.257562 + 0.0690134i
\(298\) −16.2907 + 9.40544i −0.943695 + 0.544843i
\(299\) −2.12463 + 1.01029i −0.122870 + 0.0584263i
\(300\) 0.750340i 0.0433209i
\(301\) −6.55168 17.4005i −0.377633 1.00295i
\(302\) 8.13643 + 14.0927i 0.468199 + 0.810944i
\(303\) −0.661052 + 0.381659i −0.0379764 + 0.0219257i
\(304\) 14.9639 + 4.00958i 0.858241 + 0.229965i
\(305\) −26.7645 26.7645i −1.53253 1.53253i
\(306\) 0.213773 0.797813i 0.0122206 0.0456079i
\(307\) 9.47209 + 9.47209i 0.540601 + 0.540601i 0.923705 0.383104i \(-0.125145\pi\)
−0.383104 + 0.923705i \(0.625145\pi\)
\(308\) 44.8327 + 20.3064i 2.55458 + 1.15706i
\(309\) 1.96834 1.13642i 0.111975 0.0646487i
\(310\) 23.8299 23.8299i 1.35345 1.35345i
\(311\) −4.14087 7.17220i −0.234807 0.406698i 0.724409 0.689370i \(-0.242113\pi\)
−0.959217 + 0.282672i \(0.908779\pi\)
\(312\) 2.02734 + 2.37945i 0.114775 + 0.134710i
\(313\) −4.98156 2.87611i −0.281574 0.162567i 0.352562 0.935789i \(-0.385311\pi\)
−0.634136 + 0.773222i \(0.718644\pi\)
\(314\) 22.5725 + 6.04827i 1.27384 + 0.341324i
\(315\) 19.3054 1.90396i 1.08774 0.107276i
\(316\) 43.2206 + 24.9534i 2.43135 + 1.40374i
\(317\) 9.94515 2.66479i 0.558575 0.149670i 0.0315235 0.999503i \(-0.489964\pi\)
0.527052 + 0.849833i \(0.323297\pi\)
\(318\) −1.41980 + 1.41980i −0.0796182 + 0.0796182i
\(319\) 18.1883 18.1883i 1.01835 1.01835i
\(320\) 16.5949 4.44660i 0.927685 0.248573i
\(321\) −1.20793 0.697397i −0.0674199 0.0389249i
\(322\) 4.23686 0.417853i 0.236111 0.0232860i
\(323\) −0.374942 0.100465i −0.0208623 0.00559004i
\(324\) −30.9111 17.8466i −1.71729 0.991475i
\(325\) −3.23199 2.22697i −0.179279 0.123530i
\(326\) −22.7850 39.4647i −1.26194 2.18575i
\(327\) −1.60793 + 1.60793i −0.0889186 + 0.0889186i
\(328\) 49.1605 28.3829i 2.71444 1.56718i
\(329\) 14.2800 + 6.46792i 0.787280 + 0.356588i
\(330\) −3.31129 3.31129i −0.182280 0.182280i
\(331\) −4.48552 + 16.7402i −0.246547 + 0.920125i 0.726053 + 0.687639i \(0.241353\pi\)
−0.972600 + 0.232486i \(0.925314\pi\)
\(332\) −13.6379 13.6379i −0.748479 0.748479i
\(333\) −4.46309 1.19588i −0.244576 0.0655340i
\(334\) −35.0547 + 20.2389i −1.91811 + 1.10742i
\(335\) 7.76360 + 13.4470i 0.424171 + 0.734686i
\(336\) −0.708154 1.88077i −0.0386330 0.102605i
\(337\) 12.1069i 0.659506i 0.944067 + 0.329753i \(0.106965\pi\)
−0.944067 + 0.329753i \(0.893035\pi\)
\(338\) −31.8923 + 3.27510i −1.73471 + 0.178142i
\(339\) −0.334342 + 0.193032i −0.0181589 + 0.0104841i
\(340\) 1.09655 0.293821i 0.0594690 0.0159347i
\(341\) 25.2383i 1.36673i
\(342\) −12.6189 + 21.8566i −0.682351 + 1.18187i
\(343\) 8.72399 16.3368i 0.471051 0.882106i
\(344\) −34.8523 + 9.33865i −1.87911 + 0.503506i
\(345\) −0.262609 0.0703659i −0.0141384 0.00378837i
\(346\) −11.6407 + 43.4438i −0.625810 + 2.33555i
\(347\) −2.86789 −0.153957 −0.0769783 0.997033i \(-0.524527\pi\)
−0.0769783 + 0.997033i \(0.524527\pi\)
\(348\) −3.89048 −0.208552
\(349\) 3.12009 11.6443i 0.167014 0.623306i −0.830760 0.556630i \(-0.812094\pi\)
0.997775 0.0666760i \(-0.0212394\pi\)
\(350\) 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
\(353\) 7.89564 + 29.4669i 0.420242 + 1.56837i 0.774098 + 0.633066i \(0.218204\pi\)
−0.353856 + 0.935300i \(0.615130\pi\)
\(354\) 0.822126 1.42396i 0.0436955 0.0756828i
\(355\) −4.55449 7.88860i −0.241727 0.418683i
\(356\) 25.0768 25.0768i 1.32907 1.32907i
\(357\) 0.0177437 + 0.0471253i 0.000939099 + 0.00249414i
\(358\) −15.0521 56.1751i −0.795527 2.96895i
\(359\) −4.63302 17.2907i −0.244521 0.912566i −0.973623 0.228161i \(-0.926729\pi\)
0.729102 0.684405i \(-0.239938\pi\)
\(360\) 37.6459i 1.98411i
\(361\) −6.18273 3.56960i −0.325407 0.187874i
\(362\) 8.11125 + 8.11125i 0.426318 + 0.426318i
\(363\) 1.64951 0.0865769
\(364\) 37.7930 + 9.37793i 1.98089 + 0.491537i
\(365\) 6.20794 0.324939
\(366\) −4.51702 4.51702i −0.236109 0.236109i
\(367\) −6.26259 3.61571i −0.326905 0.188738i 0.327561 0.944830i \(-0.393773\pi\)
−0.654466 + 0.756091i \(0.727107\pi\)
\(368\) 2.93509i 0.153002i
\(369\) 8.50296 + 31.7335i 0.442646 + 1.65198i
\(370\) −2.44903 9.13989i −0.127319 0.475160i
\(371\) −2.07636 + 12.5866i −0.107799 + 0.653462i
\(372\) 2.69923 2.69923i 0.139949 0.139949i
\(373\) 12.2087 + 21.1462i 0.632145 + 1.09491i 0.987112 + 0.160029i \(0.0511586\pi\)
−0.354967 + 0.934879i \(0.615508\pi\)
\(374\) −0.633367 + 1.09702i −0.0327506 + 0.0567257i
\(375\) 0.421813 + 1.57423i 0.0217823 + 0.0812927i
\(376\) 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 \(0.155682\pi\)
\(380\) −34.6881 −1.77946
\(381\) 0.855704 0.0438390
\(382\) 4.91454 18.3413i 0.251449 0.938422i
\(383\) −16.9913 4.55280i −0.868213 0.232637i −0.202898 0.979200i \(-0.565036\pi\)
−0.665315 + 0.746563i \(0.731703\pi\)
\(384\) 3.06976 0.822539i 0.156653 0.0419750i
\(385\) −29.3547 4.84255i −1.49606 0.246799i
\(386\) −0.307320 + 0.532294i −0.0156422 + 0.0270931i
\(387\) 20.8822i 1.06150i
\(388\) −15.9082 + 4.26258i −0.807615 + 0.216400i
\(389\) 8.77740 5.06764i 0.445032 0.256939i −0.260698 0.965420i \(-0.583953\pi\)
0.705730 + 0.708481i \(0.250619\pi\)
\(390\) −3.05084 2.10215i −0.154485 0.106446i
\(391\) 0.0735427i 0.00371921i
\(392\) −29.8886 19.9597i −1.50960 1.00812i
\(393\) 0.479870 + 0.831159i 0.0242062 + 0.0419264i
\(394\) −14.2472 + 8.22563i −0.717764 + 0.414401i
\(395\) −29.1405 7.80817i −1.46622 0.392872i
\(396\) 39.0864 + 39.0864i 1.96416 + 1.96416i
\(397\) 2.18723 8.16286i 0.109774 0.409682i −0.889069 0.457773i \(-0.848647\pi\)
0.998843 + 0.0480910i \(0.0153138\pi\)
\(398\) −9.39641 9.39641i −0.470999 0.470999i
\(399\) −0.151013 1.53121i −0.00756012 0.0766565i
\(400\) 4.24070 2.44837i 0.212035 0.122419i
\(401\) 6.65097 6.65097i 0.332134 0.332134i −0.521263 0.853396i \(-0.674539\pi\)
0.853396 + 0.521263i \(0.174539\pi\)
\(402\) 1.31026 + 2.26944i 0.0653498 + 0.113189i
\(403\) 3.61542 + 19.6378i 0.180097 + 0.978227i
\(404\) 15.9797 + 9.22590i 0.795021 + 0.459006i
\(405\) 20.8411 + 5.58436i 1.03560 + 0.277489i
\(406\) −29.9326 + 21.4553i −1.48553 + 1.06481i
\(407\) 6.13693 + 3.54316i 0.304196 + 0.175628i
\(408\) 0.0943896 0.0252916i 0.00467298 0.00125212i
\(409\) 17.9666 17.9666i 0.888390 0.888390i −0.105979 0.994368i \(-0.533797\pi\)
0.994368 + 0.105979i \(0.0337975\pi\)
\(410\) −47.5734 + 47.5734i −2.34948 + 2.34948i
\(411\) 1.39371 0.373444i 0.0687467 0.0184206i
\(412\) −47.5810 27.4709i −2.34415 1.35339i
\(413\) −1.02528 10.3959i −0.0504508 0.511550i
\(414\) 4.61864 + 1.23756i 0.226994 + 0.0608228i
\(415\) 10.0969 + 5.82944i 0.495636 + 0.286156i
\(416\) 0.995948 2.80184i 0.0488304 0.137372i
\(417\) −0.966489 1.67401i −0.0473292 0.0819765i
\(418\) 27.3693 27.3693i 1.33868 1.33868i
\(419\) −17.4075 + 10.0503i −0.850414 + 0.490987i −0.860791 0.508959i \(-0.830030\pi\)
0.0103762 + 0.999946i \(0.496697\pi\)
\(420\) 2.62157 + 3.65739i 0.127920 + 0.178463i
\(421\) −2.51951 2.51951i −0.122793 0.122793i 0.643040 0.765833i \(-0.277673\pi\)
−0.765833 + 0.643040i \(0.777673\pi\)
\(422\) 1.85058 6.90645i 0.0900847 0.336201i
\(423\) 12.4497 + 12.4497i 0.605324 + 0.605324i
\(424\) 23.9122 + 6.40724i 1.16128 + 0.311163i
\(425\) −0.106256 + 0.0613472i −0.00515419 + 0.00297578i
\(426\) −0.768658 1.33135i −0.0372416 0.0645044i
\(427\) −40.0437 6.60587i −1.93785 0.319680i
\(428\) 33.7166i 1.62975i
\(429\) 2.72877 0.502381i 0.131746 0.0242552i
\(430\) 37.0349 21.3821i 1.78598 1.03114i
\(431\) 23.1558 6.20458i 1.11538 0.298864i 0.346365 0.938100i \(-0.387416\pi\)
0.769011 + 0.639236i \(0.220749\pi\)
\(432\) 4.53586i 0.218232i
\(433\) −11.7141 + 20.2893i −0.562941 + 0.975043i 0.434296 + 0.900770i \(0.356997\pi\)
−0.997238 + 0.0742732i \(0.976336\pi\)
\(434\) 5.88157 35.6531i 0.282325 1.71141i
\(435\) 2.27164 0.608684i 0.108917 0.0291842i
\(436\) 53.0957 + 14.2269i 2.54282 + 0.681347i
\(437\) 0.581607 2.17059i 0.0278220 0.103833i
\(438\) 1.04771 0.0500616
\(439\) −33.7642 −1.61148 −0.805738 0.592272i \(-0.798231\pi\)
−0.805738 + 0.592272i \(0.798231\pi\)
\(440\) −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 0.216750 + 0.976227i \(0.430454\pi\)
−0.953813 + 0.300402i \(0.902879\pi\)
\(444\) −0.277403 1.03528i −0.0131650 0.0491324i
\(445\) −10.7189 + 18.5657i −0.508125 + 0.880098i
\(446\) −23.1091 40.0262i −1.09425 1.89530i
\(447\) 0.910762 0.910762i 0.0430776 0.0430776i
\(448\) 11.6846 14.2415i 0.552043 0.672846i
\(449\) −0.388197 1.44877i −0.0183202 0.0683718i 0.956161 0.292843i \(-0.0946013\pi\)
−0.974481 + 0.224471i \(0.927935\pi\)
\(450\) 2.06468 + 7.70548i 0.0973298 + 0.363240i
\(451\) 50.3851i 2.37254i
\(452\) 8.08210 + 4.66620i 0.380150 + 0.219480i
\(453\) −0.787880 0.787880i −0.0370178 0.0370178i
\(454\) 15.7424 0.738829
\(455\) −23.5344 + 0.437145i −1.10331 + 0.0204937i
\(456\) −2.98589 −0.139827
\(457\) 21.6961 + 21.6961i 1.01490 + 1.01490i 0.999887 + 0.0150158i \(0.00477986\pi\)
0.0150158 + 0.999887i \(0.495220\pi\)
\(458\) 36.9627 + 21.3404i 1.72715 + 0.997172i
\(459\) 0.113652i 0.00530482i
\(460\) 1.70097 + 6.34809i 0.0793080 + 0.295981i
\(461\) 6.69670 + 24.9924i 0.311896 + 1.16401i 0.926845 + 0.375445i \(0.122510\pi\)
−0.614948 + 0.788568i \(0.710823\pi\)
\(462\) −4.95418 0.817274i −0.230490 0.0380230i
\(463\) −26.5381 + 26.5381i −1.23333 + 1.23333i −0.270652 + 0.962677i \(0.587239\pi\)
−0.962677 + 0.270652i \(0.912761\pi\)
\(464\) 12.6947 + 21.9878i 0.589336 + 1.02076i
\(465\) −1.15377 + 1.99838i −0.0535047 + 0.0926728i
\(466\) 0.801205 + 2.99014i 0.0371151 + 0.138515i
\(467\) 4.11119 7.12080i 0.190243 0.329511i −0.755087 0.655624i \(-0.772406\pi\)
0.945331 + 0.326113i \(0.105739\pi\)
\(468\) 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
\(471\) −1.60010 −0.0737285
\(472\) −20.2723 −0.933106
\(473\) −8.28895 + 30.9348i −0.381127 + 1.42238i
\(474\) −4.91803 1.31778i −0.225892 0.0605277i
\(475\) 3.62128 0.970319i 0.166156 0.0445213i
\(476\) 0.772088 0.941043i 0.0353886 0.0431326i
\(477\) −7.16362 + 12.4078i −0.328000 + 0.568112i
\(478\) 29.9740i 1.37098i
\(479\) 20.9972 5.62619i 0.959388 0.257067i 0.255047 0.966929i \(-0.417909\pi\)
0.704342 + 0.709861i \(0.251242\pi\)
\(480\) 0.297598 0.171818i 0.0135834 0.00784239i
\(481\) 5.28267 + 1.87779i 0.240869 + 0.0856196i
\(482\) 5.99250i 0.272951i
\(483\) −0.272815 + 0.102721i −0.0124135 + 0.00467396i
\(484\) −19.9370 34.5318i −0.906225 1.56963i
\(485\) 8.62185 4.97782i 0.391498 0.226031i
\(486\) 10.7234 + 2.87333i 0.486425 + 0.130337i
\(487\) 12.7599 + 12.7599i 0.578206 + 0.578206i 0.934409 0.356202i \(-0.115929\pi\)
−0.356202 + 0.934409i \(0.615929\pi\)
\(488\) −20.3844 + 76.0755i −0.922758 + 3.44378i
\(489\) 2.20635 + 2.20635i 0.0997746 + 0.0997746i
\(490\) 40.3397 + 13.6817i 1.82236 + 0.618078i
\(491\) 5.63350 3.25250i 0.254236 0.146783i −0.367466 0.930037i \(-0.619775\pi\)
0.621703 + 0.783253i \(0.286441\pi\)
\(492\) −5.38867 + 5.38867i −0.242940 + 0.242940i
\(493\) −0.318082 0.550935i −0.0143257 0.0248129i
\(494\) 17.3752 25.2166i 0.781748 1.13455i
\(495\) −28.9377 16.7072i −1.30065 0.750932i
\(496\) −24.0629 6.44763i −1.08046 0.289507i
\(497\) −8.89691 4.02974i −0.399081 0.180758i
\(498\) 1.70405 + 0.983831i 0.0763601 + 0.0440865i
\(499\) 19.4522 5.21221i 0.870802 0.233331i 0.204367 0.978894i \(-0.434486\pi\)
0.666434 + 0.745564i \(0.267820\pi\)
\(500\) 27.8575 27.8575i 1.24583 1.24583i
\(501\) 1.95980 1.95980i 0.0875574 0.0875574i
\(502\) 37.8664 10.1463i 1.69006 0.452850i
\(503\) −17.1138 9.88067i −0.763068 0.440557i 0.0673282 0.997731i \(-0.478553\pi\)
−0.830396 + 0.557173i \(0.811886\pi\)
\(504\) −23.5162 32.8078i −1.04749 1.46137i
\(505\) −10.7740 2.88687i −0.479435 0.128464i
\(506\) −6.35081 3.66664i −0.282328 0.163002i
\(507\) 2.05127 0.781798i 0.0911001 0.0347209i
\(508\) −10.3425 17.9138i −0.458876 0.794796i
\(509\) 21.0947 21.0947i 0.935004 0.935004i −0.0630085 0.998013i \(-0.520070\pi\)
0.998013 + 0.0630085i \(0.0200695\pi\)
\(510\) −0.100301 + 0.0579086i −0.00444139 + 0.00256424i
\(511\) 5.41012 3.87791i 0.239330 0.171548i
\(512\) −30.0390 30.0390i −1.32755 1.32755i
\(513\) 0.898808 3.35440i 0.0396833 0.148100i
\(514\) 24.7521 + 24.7521i 1.09177 + 1.09177i
\(515\) 32.0804 + 8.59591i 1.41363 + 0.378781i
\(516\) 4.19497 2.42197i 0.184673 0.106621i
\(517\) −13.5012 23.3847i −0.593780 1.02846i
\(518\) −7.84369 6.43543i −0.344632 0.282757i
\(519\) 3.07961i 0.135180i
\(520\) −3.63825 + 45.5338i −0.159548 + 1.99679i
\(521\) 6.67564 3.85418i 0.292465 0.168855i −0.346588 0.938018i \(-0.612660\pi\)
0.639053 + 0.769163i \(0.279326\pi\)
\(522\) −39.9525 + 10.7053i −1.74868 + 0.468556i
\(523\) 0.0152739i 0.000667882i 1.00000 0.000333941i \(0.000106297\pi\)
−1.00000 0.000333941i \(0.999894\pi\)
\(524\) 11.6000 20.0918i 0.506748 0.877713i
\(525\) −0.375988 0.308483i −0.0164095 0.0134633i
\(526\) 45.1096 12.0871i 1.96687 0.527021i
\(527\) 0.602928 + 0.161554i 0.0262640 + 0.00703741i
\(528\) −0.895931 + 3.34366i −0.0389904 + 0.145514i
\(529\) 22.5743 0.981489
\(530\) −29.3405 −1.27447
\(531\) 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
\(535\) −5.27513 19.6870i −0.228064 0.851145i
\(536\) 16.1544 27.9803i 0.697764 1.20856i
\(537\) 1.99105 + 3.44859i 0.0859199 + 0.148818i
\(538\) −42.2361 + 42.2361i −1.82093 + 1.82093i
\(539\) −28.6071 + 14.1168i −1.23220 + 0.608052i
\(540\) 2.62865 + 9.81027i 0.113119 + 0.422167i
\(541\) −12.0108 44.8251i −0.516386 1.92718i −0.325325 0.945602i \(-0.605474\pi\)
−0.191061 0.981578i \(-0.561193\pi\)
\(542\) 38.8479i 1.66866i
\(543\) −0.680212 0.392720i −0.0291907 0.0168532i
\(544\) −0.0657291 0.0657291i −0.00281811 0.00281811i
\(545\) −33.2283 −1.42334
\(546\) −3.97190 + 0.0737768i −0.169981 + 0.00315735i
\(547\) 22.9225 0.980097 0.490049 0.871695i \(-0.336979\pi\)
0.490049 + 0.871695i \(0.336979\pi\)
\(548\) −24.6631 24.6631i −1.05355 1.05355i
\(549\) −39.4748 22.7908i −1.68474 0.972686i
\(550\) 12.2344i 0.521678i
\(551\) 5.03106 + 18.7762i 0.214330 + 0.799892i
\(552\) 0.146416 + 0.546434i 0.00623190 + 0.0232578i
\(553\) −30.2730 + 11.3985i −1.28734 + 0.484711i
\(554\) −1.30224 + 1.30224i −0.0553269 + 0.0553269i
\(555\) 0.323950 + 0.561098i 0.0137509 + 0.0238173i
\(556\) −23.3631 + 40.4661i −0.990816 + 1.71614i
\(557\) −4.20224 15.6830i −0.178055 0.664509i −0.996011 0.0892288i \(-0.971560\pi\)
0.817957 0.575280i \(-0.195107\pi\)
\(558\) 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
\(562\) −1.87238 −0.0789814
\(563\) 10.5234 0.443507 0.221753 0.975103i \(-0.428822\pi\)
0.221753 + 0.975103i \(0.428822\pi\)
\(564\) −1.05704 + 3.94493i −0.0445095 + 0.166112i
\(565\) −5.44917 1.46010i −0.229248 0.0614269i
\(566\) 45.9003 12.2989i 1.92933 0.516963i
\(567\) 21.6511 8.15211i 0.909259 0.342356i
\(568\) −9.47692 + 16.4145i −0.397643 + 0.688737i
\(569\) 35.6613i 1.49500i 0.664262 + 0.747500i \(0.268746\pi\)
−0.664262 + 0.747500i \(0.731254\pi\)
\(570\) 3.41830 0.915932i 0.143177 0.0383642i
\(571\) 9.54352 5.50995i 0.399384 0.230584i −0.286834 0.957980i \(-0.592603\pi\)
0.686218 + 0.727396i \(0.259270\pi\)
\(572\) −43.4986 51.0535i −1.81877 2.13466i
\(573\) 1.30016i 0.0543150i
\(574\) −11.7418 + 71.1769i −0.490094 + 2.97087i
\(575\) −0.355147 0.615132i −0.0148106 0.0256528i
\(576\) 17.9175 10.3447i 0.746564 0.431029i
\(577\) −26.6870 7.15076i −1.11099 0.297690i −0.343760 0.939057i \(-0.611701\pi\)
−0.767234 + 0.641367i \(0.778367\pi\)
\(578\) −29.6231 29.6231i −1.23216 1.23216i
\(579\) 0.0108925 0.0406514i 0.000452677 0.00168942i
\(580\) −40.1989 40.1989i −1.66917 1.66917i
\(581\) 12.4407 1.22695i 0.516128 0.0509023i
\(582\) 1.45510 0.840105i 0.0603160 0.0348235i
\(583\) 15.5373 15.5373i 0.643489 0.643489i
\(584\) −6.45871 11.1868i −0.267263 0.462914i
\(585\) −24.9096 8.85440i −1.02988 0.366084i
\(586\) 31.0754 + 17.9414i 1.28371 + 0.741153i
\(587\) −7.45089 1.99646i −0.307531 0.0824027i 0.101753 0.994810i \(-0.467555\pi\)
−0.409284 + 0.912407i \(0.634222\pi\)
\(588\) 4.56931 + 1.54974i 0.188435 + 0.0639103i
\(589\) −16.5176 9.53642i −0.680594 0.392941i
\(590\) 23.2081 6.21858i 0.955460 0.256015i
\(591\) 0.796517 0.796517i 0.0327643 0.0327643i
\(592\) −4.94594 + 4.94594i −0.203277 + 0.203277i
\(593\) 9.89297 2.65081i 0.406256 0.108856i −0.0499035 0.998754i \(-0.515891\pi\)
0.456159 + 0.889898i \(0.349225\pi\)
\(594\) −9.81446 5.66638i −0.402692 0.232495i
\(595\) −0.303590 + 0.670269i −0.0124460 + 0.0274784i
\(596\) −30.0744 8.05842i −1.23190 0.330086i
\(597\) 0.787985 + 0.454944i 0.0322501 + 0.0186196i
\(598\) −5.46677 1.94323i −0.223553 0.0794646i
\(599\) 19.8784 + 34.4305i 0.812211 + 1.40679i 0.911313 + 0.411714i \(0.135070\pi\)
−0.0991022 + 0.995077i \(0.531597\pi\)
\(600\) −0.667366 + 0.667366i −0.0272451 + 0.0272451i
\(601\) 5.65826 3.26680i 0.230805 0.133255i −0.380138 0.924930i \(-0.624124\pi\)
0.610943 + 0.791674i \(0.290790\pi\)
\(602\) 18.9186 41.7687i 0.771063 1.70236i
\(603\) 13.2219 + 13.2219i 0.538437 + 0.538437i
\(604\) −6.97116 + 26.0167i −0.283652 + 1.05860i
\(605\) 17.0438 + 17.0438i 0.692930 + 0.692930i
\(606\) −1.81832 0.487216i −0.0738640 0.0197918i
\(607\) 5.87637 3.39272i 0.238514 0.137706i −0.375979 0.926628i \(-0.622694\pi\)
0.614494 + 0.788922i \(0.289360\pi\)
\(608\) 1.42016 + 2.45979i 0.0575950 + 0.0997575i
\(609\) 1.59947 1.94948i 0.0648138 0.0789969i
\(610\) 93.3456i 3.77945i
\(611\) −13.8550 16.2614i −0.560515 0.657866i
\(612\) 1.18395 0.683553i 0.0478583 0.0276310i
\(613\) 19.0899 5.11512i 0.771034 0.206598i 0.148206 0.988957i \(-0.452650\pi\)
0.622828 + 0.782359i \(0.285984\pi\)
\(614\) 33.0355i 1.33321i
\(615\) 2.30335 3.98952i 0.0928800 0.160873i
\(616\) 21.8142 + 57.9359i 0.878917 + 2.33430i
\(617\) −2.05438 + 0.550470i −0.0827063 + 0.0221611i −0.299935 0.953960i \(-0.596965\pi\)
0.217229 + 0.976121i \(0.430298\pi\)
\(618\) 5.41419 + 1.45073i 0.217791 + 0.0583568i
\(619\) −7.70516 + 28.7560i −0.309696 + 1.15580i 0.619130 + 0.785288i \(0.287485\pi\)
−0.928827 + 0.370514i \(0.879181\pi\)
\(620\) 55.7804 2.24020
\(621\) −0.657946 −0.0264024
\(622\) 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
\(626\) −3.67157 13.7025i −0.146745 0.547661i
\(627\) −1.32513 + 2.29520i −0.0529208 + 0.0916615i
\(628\) 19.3397 + 33.4973i 0.771738 + 1.33669i
\(629\) 0.123927 0.123927i 0.00494130 0.00494130i
\(630\) 36.9857 + 30.3453i 1.47354 + 1.20898i
\(631\) 6.04595 + 22.5638i 0.240686 + 0.898251i 0.975503 + 0.219986i \(0.0706011\pi\)
−0.734817 + 0.678265i \(0.762732\pi\)
\(632\) 16.2472 + 60.6352i 0.646277 + 2.41194i
\(633\) 0.489578i 0.0194590i
\(634\) 21.9897 + 12.6957i 0.873321 + 0.504212i
\(635\) 8.84168 + 8.84168i 0.350872 + 0.350872i
\(636\) −3.32342 −0.131782
\(637\) −20.2368 + 15.0822i −0.801811 + 0.597578i
\(638\) 63.4349 2.51141
\(639\) −7.75657 7.75657i −0.306845 0.306845i
\(640\) 40.2177 + 23.2197i 1.58975 + 0.917840i
\(641\) 25.5854i 1.01056i −0.862955 0.505280i \(-0.831389\pi\)
0.862955 0.505280i \(-0.168611\pi\)
\(642\) −0.890280 3.32257i −0.0351366 0.131131i
\(643\) −7.72960 28.8473i −0.304826 1.13763i −0.933095 0.359630i \(-0.882903\pi\)
0.628269 0.777996i \(-0.283764\pi\)
\(644\) 5.44781 + 4.46971i 0.214674 + 0.176131i
\(645\) −2.07051 + 2.07051i −0.0815261 + 0.0815261i
\(646\) −0.478642 0.829032i −0.0188319 0.0326178i
\(647\) 1.41318 2.44770i 0.0555577 0.0962288i −0.836909 0.547342i \(-0.815640\pi\)
0.892467 + 0.451113i \(0.148973\pi\)
\(648\) −11.6199 43.3660i −0.456472 1.70358i
\(649\) −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
\(653\) 26.1013 1.02142 0.510711 0.859753i \(-0.329382\pi\)
0.510711 + 0.859753i \(0.329382\pi\)
\(654\) −5.60793 −0.219287
\(655\) −3.62975 + 13.5464i −0.141826 + 0.529302i
\(656\) 48.0385 + 12.8719i 1.87559 + 0.502562i
\(657\) 7.22116 1.93490i 0.281724 0.0754878i
\(658\) 13.6229 + 36.1809i 0.531077 + 1.41048i
\(659\) −9.04837 + 15.6722i −0.352475 + 0.610504i −0.986682 0.162659i \(-0.947993\pi\)
0.634208 + 0.773163i \(0.281326\pi\)
\(660\) 7.75097i 0.301706i
\(661\) −1.36965 + 0.366997i −0.0532733 + 0.0142745i −0.285357 0.958421i \(-0.592112\pi\)
0.232084 + 0.972696i \(0.425446\pi\)
\(662\) −37.0142 + 21.3702i −1.43860 + 0.830574i
\(663\) 0.00546567 0.0684044i 0.000212269 0.00265661i
\(664\) 24.2596i 0.941457i
\(665\) 14.2611 17.3818i 0.553022 0.674039i
\(666\) −5.69748 9.86833i −0.220773 0.382390i
\(667\) 3.18943 1.84142i 0.123495 0.0713000i
\(668\) −64.7149 17.3403i −2.50389 0.670917i
\(669\) 2.23774 + 2.23774i 0.0865160 + 0.0865160i
\(670\) −9.91083 + 36.9877i −0.382889 + 1.42896i
\(671\) 49.4313 + 49.4313i 1.90827 + 1.90827i
\(672\) 0.152022 0.335637i 0.00586438 0.0129475i
\(673\) −3.78674 + 2.18627i −0.145968 + 0.0842747i −0.571205 0.820807i \(-0.693524\pi\)
0.425237 + 0.905082i \(0.360191\pi\)
\(674\) −21.1125 + 21.1125i −0.813222 + 0.813222i
\(675\) −0.548839 0.950618i −0.0211248 0.0365893i
\(676\) −41.1595 33.4932i −1.58306 1.28820i
\(677\) −40.1930 23.2054i −1.54474 0.891857i −0.998530 0.0542097i \(-0.982736\pi\)
−0.546212 0.837647i \(-0.683931\pi\)
\(678\) −0.919654 0.246420i −0.0353191 0.00946372i
\(679\) 4.40430 9.72388i 0.169022 0.373168i
\(680\) 1.23662 + 0.713966i 0.0474224 + 0.0273793i
\(681\) −1.04118 + 0.278984i −0.0398982 + 0.0106907i
\(682\) −44.0115 + 44.0115i −1.68529 + 1.68529i
\(683\) 2.74654 2.74654i 0.105094 0.105094i −0.652605 0.757698i \(-0.726324\pi\)
0.757698 + 0.652605i \(0.226324\pi\)
\(684\) −40.3496 + 10.8116i −1.54281 + 0.413394i
\(685\) 18.2594 + 10.5421i 0.697655 + 0.402791i
\(686\) 43.7020 13.2755i 1.66855 0.506863i
\(687\) −2.82285 0.756380i −0.107698 0.0288577i
\(688\) −27.3765 15.8058i −1.04372 0.602592i
\(689\) 9.86374 14.3152i 0.375779 0.545366i
\(690\) −0.335240 0.580653i −0.0127624 0.0221051i
\(691\) −30.7245 + 30.7245i −1.16882 + 1.16882i −0.186329 + 0.982487i \(0.559659\pi\)
−0.982487 + 0.186329i \(0.940341\pi\)
\(692\) −64.4703 + 37.2219i −2.45079 + 1.41497i
\(693\) −35.6552 + 3.51643i −1.35443 + 0.133578i
\(694\) −5.00114 5.00114i −0.189841 0.189841i
\(695\) 7.31054 27.2833i 0.277305 1.03492i
\(696\) −3.46026 3.46026i −0.131161 0.131161i
\(697\) −1.20367 0.322522i −0.0455922 0.0122164i
\(698\) 25.7467 14.8649i 0.974527 0.562644i
\(699\) −0.105981 0.183564i −0.00400857 0.00694305i
\(700\) −1.91356 + 11.5997i −0.0723256 + 0.438426i
\(701\) 33.2095i 1.25430i 0.778897 + 0.627152i \(0.215780\pi\)
−0.778897 + 0.627152i \(0.784220\pi\)
\(702\) −8.44829 3.00304i −0.318860 0.113343i
\(703\) −4.63774 + 2.67760i −0.174916 + 0.100988i
\(704\) −30.6492 + 8.21243i −1.15514 + 0.309518i
\(705\) 2.46882i 0.0929810i
\(706\) −37.6168 + 65.1542i −1.41573 + 2.45211i
\(707\) −11.1927 + 4.21429i −0.420943 + 0.158495i
\(708\) 2.62879 0.704383i 0.0987961 0.0264723i
\(709\) −21.4384 5.74441i −0.805138 0.215736i −0.167299 0.985906i \(-0.553505\pi\)
−0.637838 + 0.770170i \(0.720171\pi\)
\(710\) 5.81415 21.6987i 0.218201 0.814338i
\(711\) −36.3303 −1.36249
\(712\) 44.6075 1.67174
\(713\) −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
\(717\) 0.531193 + 1.98244i 0.0198378 + 0.0740356i
\(718\) 22.0728 38.2313i 0.823751 1.42678i
\(719\) −14.2145 24.6202i −0.530111 0.918180i −0.999383 0.0351257i \(-0.988817\pi\)
0.469272 0.883054i \(-0.344516\pi\)
\(720\) 23.3218 23.3218i 0.869153 0.869153i
\(721\) 33.3271 12.5484i 1.24117 0.467327i
\(722\) −4.55687 17.0065i −0.169589 0.632915i
\(723\) 0.106198 + 0.396335i 0.00394953 + 0.0147399i
\(724\) 18.9866i 0.705632i
\(725\) 5.32106 + 3.07212i 0.197619 + 0.114096i
\(726\) 2.87648 + 2.87648i 0.106756 + 0.106756i
\(727\) −0.462661 −0.0171591 −0.00857957 0.999963i \(-0.502731\pi\)
−0.00857957 + 0.999963i \(0.502731\pi\)
\(728\) 25.2728 + 41.9546i 0.936674 + 1.55494i
\(729\) 25.4724 0.943422
\(730\) 10.8256 + 10.8256i 0.400675 + 0.400675i
\(731\) 0.685955 + 0.396036i 0.0253710 + 0.0146479i
\(732\) 10.5733i 0.390802i
\(733\) −9.38272 35.0168i −0.346559 1.29337i −0.890781 0.454433i \(-0.849842\pi\)
0.544222 0.838941i \(-0.316825\pi\)
\(734\) −4.61573 17.2261i −0.170370 0.635828i
\(735\) −2.91048 0.189999i −0.107355 0.00700823i
\(736\) 0.380514 0.380514i 0.0140259 0.0140259i
\(737\) −14.3386 24.8352i −0.528169 0.914816i
\(738\) −40.5102 + 70.1657i −1.49120 + 2.58284i
\(739\) −0.379862 1.41767i −0.0139735 0.0521497i 0.958587 0.284800i \(-0.0919270\pi\)
−0.972561 + 0.232650i \(0.925260\pi\)
\(740\) 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 \(0.0717464\pi\)
\(744\) 4.80149 0.176031
\(745\) 18.8212 0.689555
\(746\) −15.5854 + 58.1655i −0.570622 + 2.12959i
\(747\) 13.5618 + 3.63386i 0.496199 + 0.132956i
\(748\) −2.02523 + 0.542658i −0.0740496 + 0.0198415i
\(749\) −16.8950 13.8617i −0.617332 0.506496i
\(750\) −2.00962 + 3.48077i −0.0733810 + 0.127100i
\(751\) 18.1843i 0.663555i −0.943358 0.331778i \(-0.892352\pi\)
0.943358 0.331778i \(-0.107648\pi\)
\(752\) 25.7447 6.89828i 0.938814 0.251554i
\(753\) −2.32462 + 1.34212i −0.0847137 + 0.0489095i
\(754\) 49.3583 9.08713i 1.79752 0.330934i
\(755\) 16.2818i 0.592554i
\(756\) 8.41899 + 6.90745i 0.306196 + 0.251221i
\(757\) 2.77153 + 4.80044i 0.100733 + 0.174475i 0.911987 0.410219i \(-0.134548\pi\)
−0.811254 + 0.584694i \(0.801215\pi\)
\(758\) −18.7385 + 10.8187i −0.680612 + 0.392952i
\(759\) 0.485013 + 0.129959i 0.0176048 + 0.00471720i
\(760\) −30.8522 30.8522i −1.11913 1.11913i
\(761\) 11.4195 42.6182i 0.413957 1.54491i −0.372960 0.927848i \(-0.621657\pi\)
0.786916 0.617060i \(-0.211676\pi\)
\(762\) 1.49221 + 1.49221i 0.0540569 + 0.0540569i
\(763\) −28.9579 + 20.7567i −1.04835 + 0.751442i
\(764\) 27.2183 15.7145i 0.984725 0.568531i
\(765\) −0.584359 + 0.584359i −0.0211276 + 0.0211276i
\(766\) −21.6907 37.5693i −0.783715 1.35743i
\(767\) −4.76808 + 13.4138i −0.172165 + 0.484343i
\(768\) 4.75111 + 2.74306i 0.171441 + 0.0989815i
\(769\) 27.2136 + 7.29187i 0.981348 + 0.262951i 0.713612 0.700541i \(-0.247058\pi\)
0.267736 + 0.963492i \(0.413725\pi\)
\(770\) −42.7452 59.6345i −1.54043 2.14908i
\(771\) −2.07572 1.19842i −0.0747552 0.0431599i
\(772\) −0.982674 + 0.263307i −0.0353672 + 0.00947661i
\(773\) 14.6663 14.6663i 0.527511 0.527511i −0.392319 0.919829i \(-0.628327\pi\)