Properties

Label 17.10.d.a.9.8
Level $17$
Weight $10$
Character 17.9
Analytic conductor $8.756$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 17 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 17.d (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.75560921479\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 9.8
Character \(\chi\) \(=\) 17.9
Dual form 17.10.d.a.2.8

$q$-expansion

\(f(q)\) \(=\) \(q+(11.3845 - 11.3845i) q^{2} +(-244.376 - 101.224i) q^{3} +252.785i q^{4} +(230.356 - 556.130i) q^{5} +(-3934.48 + 1629.72i) q^{6} +(406.478 + 981.326i) q^{7} +(8706.72 + 8706.72i) q^{8} +(35555.2 + 35555.2i) q^{9} +O(q^{10})\) \(q+(11.3845 - 11.3845i) q^{2} +(-244.376 - 101.224i) q^{3} +252.785i q^{4} +(230.356 - 556.130i) q^{5} +(-3934.48 + 1629.72i) q^{6} +(406.478 + 981.326i) q^{7} +(8706.72 + 8706.72i) q^{8} +(35555.2 + 35555.2i) q^{9} +(-3708.77 - 8953.77i) q^{10} +(-16492.7 + 6831.49i) q^{11} +(25587.9 - 61774.5i) q^{12} +37747.5i q^{13} +(15799.5 + 6544.36i) q^{14} +(-112587. + 112587. i) q^{15} +68817.6 q^{16} +(38251.7 + 342235. i) q^{17} +809559. q^{18} +(-121753. + 121753. i) q^{19} +(140581. + 58230.7i) q^{20} -280957. i q^{21} +(-109988. + 265534. i) q^{22} +(-2.32978e6 + 965028. i) q^{23} +(-1.24638e6 - 3.00904e6i) q^{24} +(1.12485e6 + 1.12485e6i) q^{25} +(429737. + 429737. i) q^{26} +(-3.09742e6 - 7.47782e6i) q^{27} +(-248065. + 102752. i) q^{28} +(1.21523e6 - 2.93381e6i) q^{29} +2.56350e6i q^{30} +(6.18488e6 + 2.56186e6i) q^{31} +(-3.67438e6 + 3.67438e6i) q^{32} +4.72191e6 q^{33} +(4.33166e6 + 3.46070e6i) q^{34} +639379. q^{35} +(-8.98784e6 + 8.98784e6i) q^{36} +(-1.25599e7 - 5.20248e6i) q^{37} +2.77221e6i q^{38} +(3.82094e6 - 9.22456e6i) q^{39} +(6.84771e6 - 2.83641e6i) q^{40} +(9.84536e6 + 2.37688e7i) q^{41} +(-3.19857e6 - 3.19857e6i) q^{42} +(1.15353e7 + 1.15353e7i) q^{43} +(-1.72690e6 - 4.16910e6i) q^{44} +(2.79637e7 - 1.15829e7i) q^{45} +(-1.55371e7 + 3.75099e7i) q^{46} +4.00867e6i q^{47} +(-1.68174e7 - 6.96598e6i) q^{48} +(2.77365e7 - 2.77365e7i) q^{49} +2.56118e7 q^{50} +(2.52945e7 - 8.75058e7i) q^{51} -9.54200e6 q^{52} +(-6.96125e7 + 6.96125e7i) q^{53} +(-1.20394e8 - 4.98689e7i) q^{54} +1.07457e7i q^{55} +(-5.00503e6 + 1.20832e7i) q^{56} +(4.20778e7 - 1.74292e7i) q^{57} +(-1.95653e7 - 4.72348e7i) q^{58} +(-5.73464e7 - 5.73464e7i) q^{59} +(-2.84603e7 - 2.84603e7i) q^{60} +(3.33754e7 + 8.05753e7i) q^{61} +(9.95774e7 - 4.12463e7i) q^{62} +(-2.04388e7 + 4.93437e7i) q^{63} +1.18897e8i q^{64} +(2.09925e7 + 8.69537e6i) q^{65} +(5.37568e7 - 5.37568e7i) q^{66} -1.58490e8 q^{67} +(-8.65119e7 + 9.66945e6i) q^{68} +6.67026e8 q^{69} +(7.27903e6 - 7.27903e6i) q^{70} +(-2.24828e8 - 9.31270e7i) q^{71} +6.19139e8i q^{72} +(1.42015e8 - 3.42853e8i) q^{73} +(-2.02216e8 + 8.37608e7i) q^{74} +(-1.61025e8 - 3.88748e8i) q^{75} +(-3.07774e7 - 3.07774e7i) q^{76} +(-1.34078e7 - 1.34078e7i) q^{77} +(-6.15177e7 - 1.48517e8i) q^{78} +(-1.55554e8 + 6.44326e7i) q^{79} +(1.58526e7 - 3.82715e7i) q^{80} +1.15122e9i q^{81} +(3.82681e8 + 1.58512e8i) q^{82} +(3.88860e8 - 3.88860e8i) q^{83} +7.10219e7 q^{84} +(1.99138e8 + 5.75631e7i) q^{85} +2.62648e8 q^{86} +(-5.93943e8 + 5.93943e8i) q^{87} +(-2.03077e8 - 8.41171e7i) q^{88} -1.54695e8i q^{89} +(1.86487e8 - 4.50220e8i) q^{90} +(-3.70426e7 + 1.53435e7i) q^{91} +(-2.43945e8 - 5.88935e8i) q^{92} +(-1.25211e9 - 1.25211e9i) q^{93} +(4.56368e7 + 4.56368e7i) q^{94} +(3.96639e7 + 9.57572e7i) q^{95} +(1.26986e9 - 5.25995e8i) q^{96} +(-2.98032e8 + 7.19512e8i) q^{97} -6.31535e8i q^{98} +(-8.29296e8 - 3.43506e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9} - 117636 q^{10} - 115768 q^{11} - 145528 q^{12} + 463660 q^{14} + 288244 q^{15} - 3407880 q^{16} - 271932 q^{17} + 2193336 q^{18} - 406700 q^{19} + 493564 q^{20} + 800964 q^{22} - 4172180 q^{23} + 15078440 q^{24} + 11946576 q^{25} - 14209012 q^{26} - 7973656 q^{27} + 13540804 q^{28} + 7833752 q^{29} + 5936252 q^{31} - 26730116 q^{32} - 1635208 q^{33} - 53493988 q^{34} + 46992776 q^{35} - 12761764 q^{36} + 74606796 q^{37} + 74096776 q^{39} - 69317672 q^{40} - 71362288 q^{41} - 308117664 q^{42} - 3765712 q^{43} + 163659820 q^{44} + 14167408 q^{45} + 72135428 q^{46} + 164621412 q^{48} - 284548508 q^{49} + 226223888 q^{50} - 406733132 q^{51} + 103553016 q^{52} - 244724728 q^{53} + 971226260 q^{54} + 470691652 q^{56} - 440646580 q^{57} - 308561768 q^{58} - 481734984 q^{59} + 379626176 q^{60} + 507966228 q^{61} + 358867236 q^{62} + 1070586456 q^{63} + 366263684 q^{65} - 2244715148 q^{66} - 311910088 q^{67} - 1839196668 q^{68} + 533688136 q^{69} + 34867672 q^{70} + 186006812 q^{71} + 487115192 q^{73} - 214149412 q^{74} + 533015920 q^{75} + 1104236912 q^{76} - 237869092 q^{77} - 2081523384 q^{78} - 136338052 q^{79} - 922534152 q^{80} + 1951892384 q^{82} + 1843663888 q^{83} - 2630025952 q^{84} - 395061976 q^{85} + 1538547296 q^{86} - 369395636 q^{87} - 3388839640 q^{88} + 874363684 q^{90} + 2087197720 q^{91} + 1061427500 q^{92} + 576415420 q^{93} + 6899365112 q^{94} + 5031766876 q^{95} + 490811364 q^{96} - 3419996368 q^{97} - 5630536112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 11.3845 11.3845i 0.503130 0.503130i −0.409279 0.912409i \(-0.634220\pi\)
0.912409 + 0.409279i \(0.134220\pi\)
\(3\) −244.376 101.224i −1.74186 0.721501i −0.998623 0.0524686i \(-0.983291\pi\)
−0.743234 0.669032i \(-0.766709\pi\)
\(4\) 252.785i 0.493721i
\(5\) 230.356 556.130i 0.164830 0.397934i −0.819786 0.572671i \(-0.805907\pi\)
0.984615 + 0.174737i \(0.0559074\pi\)
\(6\) −3934.48 + 1629.72i −1.23939 + 0.513371i
\(7\) 406.478 + 981.326i 0.0639877 + 0.154480i 0.952639 0.304104i \(-0.0983569\pi\)
−0.888651 + 0.458584i \(0.848357\pi\)
\(8\) 8706.72 + 8706.72i 0.751535 + 0.751535i
\(9\) 35555.2 + 35555.2i 1.80639 + 1.80639i
\(10\) −3708.77 8953.77i −0.117282 0.283143i
\(11\) −16492.7 + 6831.49i −0.339644 + 0.140685i −0.545985 0.837795i \(-0.683844\pi\)
0.206341 + 0.978480i \(0.433844\pi\)
\(12\) 25587.9 61774.5i 0.356220 0.859991i
\(13\) 37747.5i 0.366558i 0.983061 + 0.183279i \(0.0586712\pi\)
−0.983061 + 0.183279i \(0.941329\pi\)
\(14\) 15799.5 + 6544.36i 0.109918 + 0.0455293i
\(15\) −112587. + 112587.i −0.574219 + 0.574219i
\(16\) 68817.6 0.262518
\(17\) 38251.7 + 342235.i 0.111079 + 0.993812i
\(18\) 809559. 1.81770
\(19\) −121753. + 121753.i −0.214333 + 0.214333i −0.806105 0.591772i \(-0.798429\pi\)
0.591772 + 0.806105i \(0.298429\pi\)
\(20\) 140581. + 58230.7i 0.196468 + 0.0813799i
\(21\) 280957.i 0.315249i
\(22\) −109988. + 265534.i −0.100102 + 0.241668i
\(23\) −2.32978e6 + 965028.i −1.73596 + 0.719059i −0.736889 + 0.676014i \(0.763706\pi\)
−0.999073 + 0.0430449i \(0.986294\pi\)
\(24\) −1.24638e6 3.00904e6i −0.766833 1.85130i
\(25\) 1.12485e6 + 1.12485e6i 0.575924 + 0.575924i
\(26\) 429737. + 429737.i 0.184426 + 0.184426i
\(27\) −3.09742e6 7.47782e6i −1.12166 2.70794i
\(28\) −248065. + 102752.i −0.0762700 + 0.0315921i
\(29\) 1.21523e6 2.93381e6i 0.319055 0.770267i −0.680249 0.732981i \(-0.738129\pi\)
0.999305 0.0372867i \(-0.0118715\pi\)
\(30\) 2.56350e6i 0.577813i
\(31\) 6.18488e6 + 2.56186e6i 1.20283 + 0.498227i 0.891911 0.452210i \(-0.149364\pi\)
0.310916 + 0.950437i \(0.399364\pi\)
\(32\) −3.67438e6 + 3.67438e6i −0.619455 + 0.619455i
\(33\) 4.72191e6 0.693115
\(34\) 4.33166e6 + 3.46070e6i 0.555903 + 0.444129i
\(35\) 639379. 0.0720199
\(36\) −8.98784e6 + 8.98784e6i −0.891855 + 0.891855i
\(37\) −1.25599e7 5.20248e6i −1.10174 0.456355i −0.243653 0.969862i \(-0.578346\pi\)
−0.858085 + 0.513507i \(0.828346\pi\)
\(38\) 2.77221e6i 0.215675i
\(39\) 3.82094e6 9.22456e6i 0.264472 0.638491i
\(40\) 6.84771e6 2.83641e6i 0.422937 0.175186i
\(41\) 9.84536e6 + 2.37688e7i 0.544132 + 1.31365i 0.921784 + 0.387703i \(0.126731\pi\)
−0.377652 + 0.925947i \(0.623269\pi\)
\(42\) −3.19857e6 3.19857e6i −0.158611 0.158611i
\(43\) 1.15353e7 + 1.15353e7i 0.514541 + 0.514541i 0.915915 0.401373i \(-0.131467\pi\)
−0.401373 + 0.915915i \(0.631467\pi\)
\(44\) −1.72690e6 4.16910e6i −0.0694592 0.167689i
\(45\) 2.79637e7 1.15829e7i 1.01657 0.421078i
\(46\) −1.55371e7 + 3.75099e7i −0.511634 + 1.23519i
\(47\) 4.00867e6i 0.119828i 0.998204 + 0.0599142i \(0.0190827\pi\)
−0.998204 + 0.0599142i \(0.980917\pi\)
\(48\) −1.68174e7 6.96598e6i −0.457269 0.189407i
\(49\) 2.77365e7 2.77365e7i 0.687337 0.687337i
\(50\) 2.56118e7 0.579529
\(51\) 2.52945e7 8.75058e7i 0.523553 1.81122i
\(52\) −9.54200e6 −0.180977
\(53\) −6.96125e7 + 6.96125e7i −1.21184 + 1.21184i −0.241422 + 0.970420i \(0.577614\pi\)
−0.970420 + 0.241422i \(0.922386\pi\)
\(54\) −1.20394e8 4.98689e7i −1.92679 0.798101i
\(55\) 1.07457e7i 0.158345i
\(56\) −5.00503e6 + 1.20832e7i −0.0680081 + 0.164186i
\(57\) 4.20778e7 1.74292e7i 0.527979 0.218696i
\(58\) −1.95653e7 4.72348e7i −0.227018 0.548071i
\(59\) −5.73464e7 5.73464e7i −0.616130 0.616130i 0.328406 0.944537i \(-0.393488\pi\)
−0.944537 + 0.328406i \(0.893488\pi\)
\(60\) −2.84603e7 2.84603e7i −0.283504 0.283504i
\(61\) 3.33754e7 + 8.05753e7i 0.308633 + 0.745106i 0.999750 + 0.0223628i \(0.00711888\pi\)
−0.691117 + 0.722743i \(0.742881\pi\)
\(62\) 9.95774e7 4.12463e7i 0.855851 0.354505i
\(63\) −2.04388e7 + 4.93437e7i −0.163465 + 0.394638i
\(64\) 1.18897e8i 0.885850i
\(65\) 2.09925e7 + 8.69537e6i 0.145866 + 0.0604196i
\(66\) 5.37568e7 5.37568e7i 0.348727 0.348727i
\(67\) −1.58490e8 −0.960872 −0.480436 0.877030i \(-0.659522\pi\)
−0.480436 + 0.877030i \(0.659522\pi\)
\(68\) −8.65119e7 + 9.66945e6i −0.490666 + 0.0548418i
\(69\) 6.67026e8 3.54260
\(70\) 7.27903e6 7.27903e6i 0.0362353 0.0362353i
\(71\) −2.24828e8 9.31270e7i −1.05000 0.434923i −0.210107 0.977678i \(-0.567381\pi\)
−0.839891 + 0.542755i \(0.817381\pi\)
\(72\) 6.19139e8i 2.71514i
\(73\) 1.42015e8 3.42853e8i 0.585302 1.41304i −0.302648 0.953102i \(-0.597871\pi\)
0.887950 0.459941i \(-0.152129\pi\)
\(74\) −2.02216e8 + 8.37608e7i −0.783923 + 0.324712i
\(75\) −1.61025e8 3.88748e8i −0.587648 1.41871i
\(76\) −3.07774e7 3.07774e7i −0.105821 0.105821i
\(77\) −1.34078e7 1.34078e7i −0.0434660 0.0434660i
\(78\) −6.15177e7 1.48517e8i −0.188180 0.454308i
\(79\) −1.55554e8 + 6.44326e7i −0.449324 + 0.186116i −0.595858 0.803090i \(-0.703188\pi\)
0.146535 + 0.989206i \(0.453188\pi\)
\(80\) 1.58526e7 3.82715e7i 0.0432708 0.104465i
\(81\) 1.15122e9i 2.97149i
\(82\) 3.82681e8 + 1.58512e8i 0.934706 + 0.387168i
\(83\) 3.88860e8 3.88860e8i 0.899376 0.899376i −0.0960046 0.995381i \(-0.530606\pi\)
0.995381 + 0.0960046i \(0.0306063\pi\)
\(84\) 7.10219e7 0.155645
\(85\) 1.99138e8 + 5.75631e7i 0.413780 + 0.119608i
\(86\) 2.62648e8 0.517762
\(87\) −5.93943e8 + 5.93943e8i −1.11150 + 1.11150i
\(88\) −2.03077e8 8.41171e7i −0.360984 0.149525i
\(89\) 1.54695e8i 0.261349i −0.991425 0.130675i \(-0.958286\pi\)
0.991425 0.130675i \(-0.0417143\pi\)
\(90\) 1.86487e8 4.50220e8i 0.299611 0.723325i
\(91\) −3.70426e7 + 1.53435e7i −0.0566258 + 0.0234552i
\(92\) −2.43945e8 5.88935e8i −0.355015 0.857081i
\(93\) −1.25211e9 1.25211e9i −1.73568 1.73568i
\(94\) 4.56368e7 + 4.56368e7i 0.0602892 + 0.0602892i
\(95\) 3.96639e7 + 9.57572e7i 0.0499620 + 0.120619i
\(96\) 1.26986e9 5.25995e8i 1.52594 0.632064i
\(97\) −2.98032e8 + 7.19512e8i −0.341814 + 0.825211i 0.655719 + 0.755005i \(0.272366\pi\)
−0.997533 + 0.0702062i \(0.977634\pi\)
\(98\) 6.31535e8i 0.691639i
\(99\) −8.29296e8 3.43506e8i −0.867663 0.359398i
\(100\) −2.84346e8 + 2.84346e8i −0.284346 + 0.284346i
\(101\) 6.39144e7 0.0611157 0.0305578 0.999533i \(-0.490272\pi\)
0.0305578 + 0.999533i \(0.490272\pi\)
\(102\) −7.08247e8 1.28418e9i −0.647864 1.17469i
\(103\) −6.02387e8 −0.527361 −0.263681 0.964610i \(-0.584936\pi\)
−0.263681 + 0.964610i \(0.584936\pi\)
\(104\) −3.28656e8 + 3.28656e8i −0.275481 + 0.275481i
\(105\) −1.56249e8 6.47203e7i −0.125448 0.0519624i
\(106\) 1.58501e9i 1.21943i
\(107\) 2.23017e8 5.38411e8i 0.164479 0.397088i −0.820054 0.572286i \(-0.806057\pi\)
0.984533 + 0.175198i \(0.0560566\pi\)
\(108\) 1.89028e9 7.82981e8i 1.33696 0.553789i
\(109\) 8.34500e8 + 2.01466e9i 0.566249 + 1.36705i 0.904695 + 0.426060i \(0.140099\pi\)
−0.338446 + 0.940986i \(0.609901\pi\)
\(110\) 1.22335e8 + 1.22335e8i 0.0796680 + 0.0796680i
\(111\) 2.54272e9 + 2.54272e9i 1.58981 + 1.58981i
\(112\) 2.79729e7 + 6.75325e7i 0.0167979 + 0.0405538i
\(113\) 8.73654e8 3.61879e8i 0.504065 0.208791i −0.116136 0.993233i \(-0.537051\pi\)
0.620201 + 0.784443i \(0.287051\pi\)
\(114\) 2.80613e8 6.77459e8i 0.155609 0.375674i
\(115\) 1.51796e9i 0.809320i
\(116\) 7.41625e8 + 3.07191e8i 0.380297 + 0.157524i
\(117\) −1.34212e9 + 1.34212e9i −0.662148 + 0.662148i
\(118\) −1.30572e9 −0.619987
\(119\) −3.20295e8 + 1.76648e8i −0.146416 + 0.0807511i
\(120\) −1.96053e9 −0.863092
\(121\) −1.44198e9 + 1.44198e9i −0.611541 + 0.611541i
\(122\) 1.29727e9 + 5.37349e8i 0.530167 + 0.219602i
\(123\) 6.80510e9i 2.68078i
\(124\) −6.47600e8 + 1.56344e9i −0.245985 + 0.593861i
\(125\) 1.97087e9 8.16362e8i 0.722043 0.299080i
\(126\) 3.29068e8 + 7.94441e8i 0.116310 + 0.280798i
\(127\) 1.00073e9 + 1.00073e9i 0.341351 + 0.341351i 0.856875 0.515524i \(-0.172403\pi\)
−0.515524 + 0.856875i \(0.672403\pi\)
\(128\) −5.27700e8 5.27700e8i −0.173757 0.173757i
\(129\) −1.65130e9 3.98659e9i −0.525015 1.26750i
\(130\) 3.37982e8 1.39997e8i 0.103788 0.0429905i
\(131\) 4.80636e8 1.16036e9i 0.142592 0.344248i −0.836408 0.548107i \(-0.815349\pi\)
0.979000 + 0.203860i \(0.0653486\pi\)
\(132\) 1.19363e9i 0.342206i
\(133\) −1.68970e8 6.99895e7i −0.0468248 0.0193955i
\(134\) −1.80434e9 + 1.80434e9i −0.483443 + 0.483443i
\(135\) −4.87215e9 −1.26246
\(136\) −2.64670e9 + 3.31279e9i −0.663405 + 0.830364i
\(137\) 3.60544e9 0.874410 0.437205 0.899362i \(-0.355968\pi\)
0.437205 + 0.899362i \(0.355968\pi\)
\(138\) 7.59377e9 7.59377e9i 1.78239 1.78239i
\(139\) 5.17477e9 + 2.14346e9i 1.17578 + 0.487022i 0.883098 0.469189i \(-0.155454\pi\)
0.292678 + 0.956211i \(0.405454\pi\)
\(140\) 1.61626e8i 0.0355577i
\(141\) 4.05772e8 9.79621e8i 0.0864562 0.208724i
\(142\) −3.61977e9 + 1.49936e9i −0.747108 + 0.309462i
\(143\) −2.57871e8 6.22556e8i −0.0515692 0.124499i
\(144\) 2.44683e9 + 2.44683e9i 0.474212 + 0.474212i
\(145\) −1.35165e9 1.35165e9i −0.253926 0.253926i
\(146\) −2.28645e9 5.51999e9i −0.416461 1.00543i
\(147\) −9.58573e9 + 3.97054e9i −1.69316 + 0.701328i
\(148\) 1.31511e9 3.17496e9i 0.225312 0.543952i
\(149\) 4.65102e9i 0.773054i −0.922278 0.386527i \(-0.873675\pi\)
0.922278 0.386527i \(-0.126325\pi\)
\(150\) −6.25890e9 2.59252e9i −1.00946 0.418130i
\(151\) −1.03891e9 + 1.03891e9i −0.162622 + 0.162622i −0.783727 0.621105i \(-0.786684\pi\)
0.621105 + 0.783727i \(0.286684\pi\)
\(152\) −2.12014e9 −0.322158
\(153\) −1.08082e10 + 1.35283e10i −1.59456 + 1.99587i
\(154\) −3.05283e8 −0.0437381
\(155\) 2.84945e9 2.84945e9i 0.396523 0.396523i
\(156\) 2.33183e9 + 9.65877e8i 0.315237 + 0.130575i
\(157\) 1.92308e9i 0.252608i −0.991992 0.126304i \(-0.959688\pi\)
0.991992 0.126304i \(-0.0403115\pi\)
\(158\) −1.03737e9 + 2.50444e9i −0.132428 + 0.319709i
\(159\) 2.40581e10 9.96517e9i 2.98520 1.23651i
\(160\) 1.19702e9 + 2.88985e9i 0.144398 + 0.348607i
\(161\) −1.89401e9 1.89401e9i −0.222160 0.222160i
\(162\) 1.31060e10 + 1.31060e10i 1.49504 + 1.49504i
\(163\) 3.22205e9 + 7.77873e9i 0.357510 + 0.863106i 0.995649 + 0.0931848i \(0.0297047\pi\)
−0.638138 + 0.769922i \(0.720295\pi\)
\(164\) −6.00840e9 + 2.48876e9i −0.648577 + 0.268649i
\(165\) 1.08772e9 2.62600e9i 0.114246 0.275814i
\(166\) 8.85396e9i 0.905006i
\(167\) −1.59918e9 6.62402e8i −0.159101 0.0659018i 0.301712 0.953399i \(-0.402442\pi\)
−0.460813 + 0.887497i \(0.652442\pi\)
\(168\) 2.44622e9 2.44622e9i 0.236921 0.236921i
\(169\) 9.17963e9 0.865635
\(170\) 2.92243e9 1.61177e9i 0.268363 0.148007i
\(171\) −8.65793e9 −0.774340
\(172\) −2.91595e9 + 2.91595e9i −0.254040 + 0.254040i
\(173\) −2.34730e9 9.72282e8i −0.199233 0.0825249i 0.280836 0.959756i \(-0.409388\pi\)
−0.480069 + 0.877231i \(0.659388\pi\)
\(174\) 1.35235e10i 1.11845i
\(175\) −6.46618e8 + 1.56107e9i −0.0521167 + 0.125821i
\(176\) −1.13499e9 + 4.70127e8i −0.0891628 + 0.0369324i
\(177\) 8.20925e9 + 1.98189e10i 0.628672 + 1.51775i
\(178\) −1.76113e9 1.76113e9i −0.131492 0.131492i
\(179\) −2.65604e9 2.65604e9i −0.193373 0.193373i 0.603779 0.797152i \(-0.293661\pi\)
−0.797152 + 0.603779i \(0.793661\pi\)
\(180\) 2.92800e9 + 7.06881e9i 0.207895 + 0.501903i
\(181\) 1.07196e10 4.44020e9i 0.742377 0.307503i 0.0207499 0.999785i \(-0.493395\pi\)
0.721627 + 0.692282i \(0.243395\pi\)
\(182\) −2.47033e8 + 5.96391e8i −0.0166891 + 0.0402911i
\(183\) 2.30690e10i 1.52055i
\(184\) −2.86870e10 1.18825e10i −1.84504 0.764239i
\(185\) −5.78651e9 + 5.78651e9i −0.363198 + 0.363198i
\(186\) −2.85094e10 −1.74655
\(187\) −2.96884e9 5.38305e9i −0.177542 0.321915i
\(188\) −1.01333e9 −0.0591618
\(189\) 6.07915e9 6.07915e9i 0.346549 0.346549i
\(190\) 1.54171e9 + 6.38595e8i 0.0858243 + 0.0355496i
\(191\) 6.16084e9i 0.334958i 0.985876 + 0.167479i \(0.0535626\pi\)
−0.985876 + 0.167479i \(0.946437\pi\)
\(192\) 1.20352e10 2.90555e10i 0.639142 1.54302i
\(193\) 5.12876e9 2.12440e9i 0.266075 0.110212i −0.245658 0.969357i \(-0.579004\pi\)
0.511733 + 0.859145i \(0.329004\pi\)
\(194\) 4.79835e9 + 1.15843e10i 0.243212 + 0.587165i
\(195\) −4.24987e9 4.24987e9i −0.210485 0.210485i
\(196\) 7.01138e9 + 7.01138e9i 0.339353 + 0.339353i
\(197\) −7.32318e8 1.76797e9i −0.0346419 0.0836329i 0.905612 0.424108i \(-0.139412\pi\)
−0.940254 + 0.340475i \(0.889412\pi\)
\(198\) −1.33518e10 + 5.53049e9i −0.617371 + 0.255723i
\(199\) 8.95469e9 2.16185e10i 0.404773 0.977209i −0.581717 0.813391i \(-0.697619\pi\)
0.986491 0.163818i \(-0.0523810\pi\)
\(200\) 1.95875e10i 0.865655i
\(201\) 3.87311e10 + 1.60430e10i 1.67370 + 0.693270i
\(202\) 7.27635e8 7.27635e8i 0.0307491 0.0307491i
\(203\) 3.37299e9 0.139406
\(204\) 2.21202e10 + 6.39408e9i 0.894238 + 0.258489i
\(205\) 1.54865e10 0.612435
\(206\) −6.85789e9 + 6.85789e9i −0.265331 + 0.265331i
\(207\) −1.17148e11 4.85242e10i −4.43473 1.83693i
\(208\) 2.59769e9i 0.0962282i
\(209\) 1.17628e9 2.83979e9i 0.0426434 0.102950i
\(210\) −2.51563e9 + 1.04201e9i −0.0892606 + 0.0369729i
\(211\) −6.15326e9 1.48553e10i −0.213715 0.515953i 0.780274 0.625438i \(-0.215080\pi\)
−0.993988 + 0.109485i \(0.965080\pi\)
\(212\) −1.75970e10 1.75970e10i −0.598312 0.598312i
\(213\) 4.55159e10 + 4.55159e10i 1.51515 + 1.51515i
\(214\) −3.59061e9 8.66850e9i −0.117032 0.282541i
\(215\) 9.07234e9 3.75789e9i 0.289565 0.119942i
\(216\) 3.81390e10 9.20756e10i 1.19214 2.87808i
\(217\) 7.11072e9i 0.217693i
\(218\) 3.24364e10 + 1.34356e10i 0.972698 + 0.402905i
\(219\) −6.94098e10 + 6.94098e10i −2.03902 + 2.03902i
\(220\) −2.71636e9 −0.0781782
\(221\) −1.29185e10 + 1.44390e9i −0.364290 + 0.0407167i
\(222\) 5.78953e10 1.59976
\(223\) −6.28115e9 + 6.28115e9i −0.170085 + 0.170085i −0.787017 0.616931i \(-0.788376\pi\)
0.616931 + 0.787017i \(0.288376\pi\)
\(224\) −5.09932e9 2.11221e9i −0.135331 0.0560558i
\(225\) 7.99888e10i 2.08069i
\(226\) 5.82631e9 1.40660e10i 0.148561 0.358659i
\(227\) −3.68481e10 + 1.52630e10i −0.921082 + 0.381525i −0.792289 0.610147i \(-0.791111\pi\)
−0.128794 + 0.991671i \(0.541111\pi\)
\(228\) 4.40585e9 + 1.06367e10i 0.107975 + 0.260674i
\(229\) 1.95651e10 + 1.95651e10i 0.470135 + 0.470135i 0.901958 0.431823i \(-0.142129\pi\)
−0.431823 + 0.901958i \(0.642129\pi\)
\(230\) 1.72813e10 + 1.72813e10i 0.407193 + 0.407193i
\(231\) 1.91936e9 + 4.63374e9i 0.0443508 + 0.107072i
\(232\) 3.61245e10 1.49633e10i 0.818665 0.339102i
\(233\) −1.75448e10 + 4.23568e10i −0.389983 + 0.941503i 0.599959 + 0.800031i \(0.295184\pi\)
−0.989942 + 0.141472i \(0.954816\pi\)
\(234\) 3.05588e10i 0.666293i
\(235\) 2.22934e9 + 9.23422e8i 0.0476838 + 0.0197513i
\(236\) 1.44963e10 1.44963e10i 0.304196 0.304196i
\(237\) 4.45357e10 0.916940
\(238\) −1.63535e9 + 5.65747e9i −0.0330381 + 0.114295i
\(239\) 7.50699e10 1.48825 0.744124 0.668041i \(-0.232867\pi\)
0.744124 + 0.668041i \(0.232867\pi\)
\(240\) −7.74797e9 + 7.74797e9i −0.150743 + 0.150743i
\(241\) −5.65003e10 2.34032e10i −1.07888 0.446887i −0.228765 0.973482i \(-0.573469\pi\)
−0.850117 + 0.526594i \(0.823469\pi\)
\(242\) 3.28326e10i 0.615369i
\(243\) 5.55639e10 1.34143e11i 1.02227 2.46797i
\(244\) −2.03682e10 + 8.43680e9i −0.367874 + 0.152379i
\(245\) −9.03582e9 2.18144e10i −0.160221 0.386808i
\(246\) −7.74728e10 7.74728e10i −1.34878 1.34878i
\(247\) −4.59588e9 4.59588e9i −0.0785655 0.0785655i
\(248\) 3.15446e10 + 7.61553e10i 0.529532 + 1.27840i
\(249\) −1.34390e11 + 5.56660e10i −2.21548 + 0.917684i
\(250\) 1.31435e10 3.17313e10i 0.212805 0.513757i
\(251\) 8.75084e10i 1.39161i −0.718230 0.695806i \(-0.755047\pi\)
0.718230 0.695806i \(-0.244953\pi\)
\(252\) −1.24734e10 5.16663e9i −0.194841 0.0807059i
\(253\) 3.18318e10 3.18318e10i 0.488448 0.488448i
\(254\) 2.27857e10 0.343488
\(255\) −4.28378e10 3.42246e10i −0.634449 0.506882i
\(256\) −7.28904e10 −1.06069
\(257\) −1.92352e10 + 1.92352e10i −0.275042 + 0.275042i −0.831126 0.556084i \(-0.812303\pi\)
0.556084 + 0.831126i \(0.312303\pi\)
\(258\) −6.41847e10 2.65862e10i −0.901867 0.373566i
\(259\) 1.44401e10i 0.199398i
\(260\) −2.19806e9 + 5.30659e9i −0.0298304 + 0.0720171i
\(261\) 1.47520e11 6.11048e10i 1.96775 0.815067i
\(262\) −7.73831e9 1.86819e10i −0.101459 0.244943i
\(263\) −1.91003e10 1.91003e10i −0.246172 0.246172i 0.573226 0.819397i \(-0.305692\pi\)
−0.819397 + 0.573226i \(0.805692\pi\)
\(264\) 4.11124e10 + 4.11124e10i 0.520901 + 0.520901i
\(265\) 2.26779e10 + 5.47493e10i 0.282486 + 0.681981i
\(266\) −2.72044e9 + 1.12684e9i −0.0333174 + 0.0138005i
\(267\) −1.56588e10 + 3.78037e10i −0.188563 + 0.455233i
\(268\) 4.00640e10i 0.474403i
\(269\) −8.31004e10 3.44213e10i −0.967649 0.400813i −0.157813 0.987469i \(-0.550444\pi\)
−0.809837 + 0.586656i \(0.800444\pi\)
\(270\) −5.54671e10 + 5.54671e10i −0.635183 + 0.635183i
\(271\) −8.44887e9 −0.0951561 −0.0475781 0.998868i \(-0.515150\pi\)
−0.0475781 + 0.998868i \(0.515150\pi\)
\(272\) 2.63239e9 + 2.35518e10i 0.0291602 + 0.260894i
\(273\) 1.06054e10 0.115557
\(274\) 4.10462e10 4.10462e10i 0.439942 0.439942i
\(275\) −2.62362e10 1.08674e10i −0.276633 0.114585i
\(276\) 1.68614e11i 1.74905i
\(277\) 5.92947e10 1.43150e11i 0.605141 1.46094i −0.263086 0.964772i \(-0.584740\pi\)
0.868227 0.496167i \(-0.165260\pi\)
\(278\) 8.33146e10 3.45100e10i 0.836603 0.346532i
\(279\) 1.28817e11 + 3.10992e11i 1.27278 + 3.07277i
\(280\) 5.56689e9 + 5.56689e9i 0.0541255 + 0.0541255i
\(281\) 7.27285e10 + 7.27285e10i 0.695867 + 0.695867i 0.963516 0.267649i \(-0.0862468\pi\)
−0.267649 + 0.963516i \(0.586247\pi\)
\(282\) −6.53299e9 1.57720e10i −0.0615164 0.148514i
\(283\) 2.35064e10 9.73667e9i 0.217845 0.0902343i −0.271092 0.962553i \(-0.587385\pi\)
0.488937 + 0.872319i \(0.337385\pi\)
\(284\) 2.35411e10 5.68333e10i 0.214731 0.518406i
\(285\) 2.74157e10i 0.246148i
\(286\) −1.00232e10 4.15177e9i −0.0885852 0.0366932i
\(287\) −1.93230e10 + 1.93230e10i −0.168115 + 0.168115i
\(288\) −2.61287e11 −2.23796
\(289\) −1.15661e11 + 2.61821e10i −0.975323 + 0.220782i
\(290\) −3.07757e10 −0.255515
\(291\) 1.45663e11 1.45663e11i 1.19078 1.19078i
\(292\) 8.66682e10 + 3.58992e10i 0.697649 + 0.288976i
\(293\) 1.48532e11i 1.17737i −0.808361 0.588687i \(-0.799645\pi\)
0.808361 0.588687i \(-0.200355\pi\)
\(294\) −6.39263e10 + 1.54332e11i −0.499018 + 1.20474i
\(295\) −4.51022e10 + 1.86819e10i −0.346736 + 0.143623i
\(296\) −6.40590e10 1.54652e11i −0.485029 1.17096i
\(297\) 1.02169e11 + 1.02169e11i 0.761932 + 0.761932i
\(298\) −5.29496e10 5.29496e10i −0.388946 0.388946i
\(299\) −3.64273e10 8.79434e10i −0.263577 0.636331i
\(300\) 9.82698e10 4.07047e10i 0.700445 0.290134i
\(301\) −6.63103e9 + 1.60087e10i −0.0465620 + 0.112411i
\(302\) 2.36549e10i 0.163640i
\(303\) −1.56191e10 6.46966e9i −0.106455 0.0440950i
\(304\) −8.37877e9 + 8.37877e9i −0.0562664 + 0.0562664i
\(305\) 5.24986e10 0.347375
\(306\) 3.09670e10 + 2.77059e11i 0.201908 + 1.80645i
\(307\) 1.71702e11 1.10320 0.551599 0.834110i \(-0.314018\pi\)
0.551599 + 0.834110i \(0.314018\pi\)
\(308\) 3.38930e9 3.38930e9i 0.0214601 0.0214601i
\(309\) 1.47209e11 + 6.09759e10i 0.918587 + 0.380491i
\(310\) 6.48793e10i 0.399005i
\(311\) −1.06649e11 + 2.57474e11i −0.646451 + 1.56067i 0.171376 + 0.985206i \(0.445179\pi\)
−0.817827 + 0.575464i \(0.804821\pi\)
\(312\) 1.13583e11 4.70478e10i 0.678609 0.281089i
\(313\) 4.28006e9 + 1.03330e10i 0.0252058 + 0.0608522i 0.935981 0.352050i \(-0.114515\pi\)
−0.910775 + 0.412902i \(0.864515\pi\)
\(314\) −2.18933e10 2.18933e10i −0.127095 0.127095i
\(315\) 2.27333e10 + 2.27333e10i 0.130096 + 0.130096i
\(316\) −1.62876e10 3.93218e10i −0.0918894 0.221841i
\(317\) −1.58439e11 + 6.56275e10i −0.881241 + 0.365022i −0.776978 0.629528i \(-0.783248\pi\)
−0.104263 + 0.994550i \(0.533248\pi\)
\(318\) 1.60441e11 3.87338e11i 0.879818 2.12407i
\(319\) 5.66882e10i 0.306503i
\(320\) 6.61221e10 + 2.73887e10i 0.352510 + 0.146014i
\(321\) −1.09000e11 + 1.09000e11i −0.572999 + 0.572999i
\(322\) −4.31249e10 −0.223551
\(323\) −4.63255e10 3.70109e10i −0.236815 0.189199i
\(324\) −2.91010e11 −1.46709
\(325\) −4.24603e10 + 4.24603e10i −0.211110 + 0.211110i
\(326\) 1.25239e11 + 5.18756e10i 0.614129 + 0.254380i
\(327\) 5.76806e11i 2.78975i
\(328\) −1.21227e11 + 2.92669e11i −0.578321 + 1.39619i
\(329\) −3.93381e9 + 1.62944e9i −0.0185111 + 0.00766754i
\(330\) −1.75125e10 4.22789e10i −0.0812897 0.196251i
\(331\) 1.98535e11 + 1.98535e11i 0.909100 + 0.909100i 0.996200 0.0870996i \(-0.0277599\pi\)
−0.0870996 + 0.996200i \(0.527760\pi\)
\(332\) 9.82980e10 + 9.82980e10i 0.444041 + 0.444041i
\(333\) −2.61595e11 6.31546e11i −1.16582 2.81453i
\(334\) −2.57470e10 + 1.06648e10i −0.113206 + 0.0468913i
\(335\) −3.65092e10 + 8.81411e10i −0.158380 + 0.382364i
\(336\) 1.93348e10i 0.0827587i
\(337\) −3.85384e11 1.59631e11i −1.62764 0.674192i −0.632678 0.774415i \(-0.718044\pi\)
−0.994965 + 0.100223i \(0.968044\pi\)
\(338\) 1.04506e11 1.04506e11i 0.435527 0.435527i
\(339\) −2.50131e11 −1.02865
\(340\) −1.45511e10 + 5.03393e10i −0.0590528 + 0.204292i
\(341\) −1.19506e11 −0.478626
\(342\) −9.85664e10 + 9.85664e10i −0.389593 + 0.389593i
\(343\) 7.80929e10 + 3.23471e10i 0.304641 + 0.126186i
\(344\) 2.00869e11i 0.773392i
\(345\) 1.53654e11 3.70953e11i 0.583925 1.40972i
\(346\) −3.77918e10 + 1.56539e10i −0.141761 + 0.0587192i
\(347\) 9.84421e10 + 2.37660e11i 0.364501 + 0.879983i 0.994630 + 0.103493i \(0.0330018\pi\)
−0.630129 + 0.776490i \(0.716998\pi\)
\(348\) −1.50140e11 1.50140e11i −0.548769 0.548769i
\(349\) 2.51708e11 + 2.51708e11i 0.908203 + 0.908203i 0.996127 0.0879237i \(-0.0280232\pi\)
−0.0879237 + 0.996127i \(0.528023\pi\)
\(350\) 1.04106e10 + 2.51335e10i 0.0370827 + 0.0895256i
\(351\) 2.82269e11 1.16920e11i 0.992615 0.411155i
\(352\) 3.54989e10 8.57019e10i 0.123246 0.297542i
\(353\) 2.14539e11i 0.735394i −0.929946 0.367697i \(-0.880146\pi\)
0.929946 0.367697i \(-0.119854\pi\)
\(354\) 3.19087e11 + 1.32170e11i 1.07993 + 0.447321i
\(355\) −1.03581e11 + 1.03581e11i −0.346142 + 0.346142i
\(356\) 3.91046e10 0.129034
\(357\) 9.61534e10 1.07471e10i 0.313298 0.0350174i
\(358\) −6.04756e10 −0.194584
\(359\) 1.42457e10 1.42457e10i 0.0452648 0.0452648i −0.684112 0.729377i \(-0.739810\pi\)
0.729377 + 0.684112i \(0.239810\pi\)
\(360\) 3.44321e11 + 1.42623e11i 1.08045 + 0.447535i
\(361\) 2.93040e11i 0.908123i
\(362\) 7.14878e10 1.72587e11i 0.218798 0.528225i
\(363\) 4.98348e11 2.06423e11i 1.50644 0.623990i
\(364\) −3.87862e9 9.36381e9i −0.0115803 0.0279574i
\(365\) −1.57957e11 1.57957e11i −0.465823 0.465823i
\(366\) −2.62630e11 2.62630e11i −0.765032 0.765032i
\(367\) 2.10342e11 + 5.07811e11i 0.605242 + 1.46118i 0.868120 + 0.496355i \(0.165328\pi\)
−0.262878 + 0.964829i \(0.584672\pi\)
\(368\) −1.60330e11 + 6.64109e10i −0.455722 + 0.188766i
\(369\) −4.95051e11 + 1.19516e12i −1.39005 + 3.35589i
\(370\) 1.31753e11i 0.365472i
\(371\) −9.66086e10 4.00166e10i −0.264748 0.109662i
\(372\) 3.16515e11 3.16515e11i 0.856942 0.856942i
\(373\) 6.64556e11 1.77763 0.888816 0.458264i \(-0.151528\pi\)
0.888816 + 0.458264i \(0.151528\pi\)
\(374\) −9.50823e10 2.74846e10i −0.251291 0.0726385i
\(375\) −5.64268e11 −1.47348
\(376\) −3.49023e10 + 3.49023e10i −0.0900552 + 0.0900552i
\(377\) 1.10744e11 + 4.58717e10i 0.282348 + 0.116952i
\(378\) 1.38416e11i 0.348718i
\(379\) −1.22581e11 + 2.95938e11i −0.305175 + 0.736756i 0.694674 + 0.719325i \(0.255549\pi\)
−0.999848 + 0.0174313i \(0.994451\pi\)
\(380\) −2.42060e10 + 1.00265e10i −0.0595521 + 0.0246673i
\(381\) −1.43257e11 3.45853e11i −0.348300 0.840870i
\(382\) 7.01383e10 + 7.01383e10i 0.168527 + 0.168527i
\(383\) −4.07275e11 4.07275e11i −0.967148 0.967148i 0.0323294 0.999477i \(-0.489707\pi\)
−0.999477 + 0.0323294i \(0.989707\pi\)
\(384\) 7.55413e10 + 1.82373e11i 0.177294 + 0.428025i
\(385\) −1.05451e10 + 4.36791e9i −0.0244611 + 0.0101321i
\(386\) 3.42032e10 8.25737e10i 0.0784194 0.189321i
\(387\) 8.20280e11i 1.85893i
\(388\) −1.81882e11 7.53380e10i −0.407424 0.168761i
\(389\) 2.84014e11 2.84014e11i 0.628879 0.628879i −0.318907 0.947786i \(-0.603316\pi\)
0.947786 + 0.318907i \(0.103316\pi\)
\(390\) −9.67656e10 −0.211802
\(391\) −4.19384e11 7.60419e11i −0.907437 1.64535i
\(392\) 4.82988e11 1.03312
\(393\) −2.34911e11 + 2.34911e11i −0.496750 + 0.496750i
\(394\) −2.84646e10 1.17904e10i −0.0595076 0.0246488i
\(395\) 1.01351e11i 0.209479i
\(396\) 8.68331e10 2.09634e11i 0.177442 0.428384i
\(397\) −4.35198e11 + 1.80265e11i −0.879285 + 0.364212i −0.776220 0.630463i \(-0.782865\pi\)
−0.103066 + 0.994675i \(0.532865\pi\)
\(398\) −1.44172e11 3.48062e11i −0.288009 0.695316i
\(399\) 3.42075e10 + 3.42075e10i 0.0675683 + 0.0675683i
\(400\) 7.74096e10 + 7.74096e10i 0.151191 + 0.151191i
\(401\) 5.92502e10 + 1.43043e11i 0.114430 + 0.276258i 0.970710 0.240253i \(-0.0772304\pi\)
−0.856280 + 0.516511i \(0.827230\pi\)
\(402\) 6.23577e11 2.58294e11i 1.19089 0.493284i
\(403\) −9.67037e10 + 2.33463e11i −0.182629 + 0.440906i
\(404\) 1.61566e10i 0.0301741i
\(405\) 6.40225e11 + 2.65190e11i 1.18246 + 0.489790i
\(406\) 3.83999e10 3.83999e10i 0.0701395 0.0701395i
\(407\) 2.42687e11 0.438401
\(408\) 9.82121e11 5.41656e11i 1.75466 0.967728i
\(409\) 1.00784e12 1.78089 0.890445 0.455091i \(-0.150393\pi\)
0.890445 + 0.455091i \(0.150393\pi\)
\(410\) 1.76306e11 1.76306e11i 0.308134 0.308134i
\(411\) −8.81081e11 3.64956e11i −1.52310 0.630887i
\(412\) 1.52275e11i 0.260369i
\(413\) 3.29654e10 7.95856e10i 0.0557550 0.134604i
\(414\) −1.88610e12 + 7.81247e11i −3.15546 + 1.30703i
\(415\) −1.26680e11 3.05833e11i −0.209649 0.506136i
\(416\) −1.38699e11 1.38699e11i −0.227066 0.227066i
\(417\) −1.04762e12 1.04762e12i −1.69665 1.69665i
\(418\) −1.89383e10 4.57211e10i −0.0303422 0.0732526i
\(419\) 2.35378e11 9.74968e10i 0.373081 0.154535i −0.188261 0.982119i \(-0.560285\pi\)
0.561342 + 0.827584i \(0.310285\pi\)
\(420\) 1.63603e10 3.94974e10i 0.0256549 0.0619364i
\(421\) 2.87619e11i 0.446219i −0.974793 0.223109i \(-0.928379\pi\)
0.974793 0.223109i \(-0.0716207\pi\)
\(422\) −2.39172e11 9.90685e10i −0.367118 0.152065i
\(423\) −1.42529e11 + 1.42529e11i −0.216457 + 0.216457i
\(424\) −1.21219e12 −1.82148
\(425\) −3.41936e11 + 4.27991e11i −0.508387 + 0.636333i
\(426\) 1.03635e12 1.52463
\(427\) −6.55043e10 + 6.55043e10i −0.0953551 + 0.0953551i
\(428\) 1.36102e11 + 5.63755e10i 0.196051 + 0.0812069i
\(429\) 1.78240e11i 0.254067i
\(430\) 6.05026e10 1.46066e11i 0.0853426 0.206035i
\(431\) 3.62193e11 1.50025e11i 0.505582 0.209419i −0.115288 0.993332i \(-0.536779\pi\)
0.620871 + 0.783913i \(0.286779\pi\)
\(432\) −2.13157e11 5.14606e11i −0.294457 0.710883i
\(433\) −5.91290e11 5.91290e11i −0.808360 0.808360i 0.176025 0.984386i \(-0.443676\pi\)
−0.984386 + 0.176025i \(0.943676\pi\)
\(434\) 8.09521e10 + 8.09521e10i 0.109528 + 0.109528i
\(435\) 1.93491e11 + 4.67128e11i 0.259095 + 0.625510i
\(436\) −5.09277e11 + 2.10949e11i −0.674939 + 0.279569i
\(437\) 1.66163e11 4.01154e11i 0.217956 0.526192i
\(438\) 1.58039e12i 2.05179i
\(439\) 1.17126e12 + 4.85151e11i 1.50509 + 0.623428i 0.974538 0.224225i \(-0.0719849\pi\)
0.530551 + 0.847653i \(0.321985\pi\)
\(440\) −9.35601e10 + 9.35601e10i −0.119002 + 0.119002i
\(441\) 1.97236e12 2.48320
\(442\) −1.30633e11 + 1.63509e11i −0.162799 + 0.203771i
\(443\) 1.06154e11 0.130954 0.0654769 0.997854i \(-0.479143\pi\)
0.0654769 + 0.997854i \(0.479143\pi\)
\(444\) −6.42762e11 + 6.42762e11i −0.784923 + 0.784923i
\(445\) −8.60304e10 3.56350e10i −0.104000 0.0430781i
\(446\) 1.43016e11i 0.171150i
\(447\) −4.70793e11 + 1.13660e12i −0.557759 + 1.34655i
\(448\) −1.16677e11 + 4.83290e10i −0.136846 + 0.0566835i
\(449\) −4.96848e11 1.19950e12i −0.576919 1.39281i −0.895565 0.444931i \(-0.853228\pi\)
0.318646 0.947874i \(-0.396772\pi\)
\(450\) 9.10634e11 + 9.10634e11i 1.04686 + 1.04686i
\(451\) −3.24752e11 3.24752e11i −0.369622 0.369622i
\(452\) 9.14778e10 + 2.20847e11i 0.103084 + 0.248868i
\(453\) 3.59046e11 1.48722e11i 0.400597 0.165933i
\(454\) −2.45736e11 + 5.93260e11i −0.271467 + 0.655380i
\(455\) 2.41349e10i 0.0263995i
\(456\) 5.18111e11 + 2.14609e11i 0.561153 + 0.232437i
\(457\) 6.82534e11 6.82534e11i 0.731983 0.731983i −0.239029 0.971012i \(-0.576829\pi\)
0.971012 + 0.239029i \(0.0768292\pi\)
\(458\) 4.45479e11 0.473078
\(459\) 2.44069e12 1.34608e12i 2.56659 1.41552i
\(460\) −3.83718e11 −0.399579
\(461\) −7.36391e11 + 7.36391e11i −0.759372 + 0.759372i −0.976208 0.216836i \(-0.930426\pi\)
0.216836 + 0.976208i \(0.430426\pi\)
\(462\) 7.46038e10 + 3.09019e10i 0.0761855 + 0.0315571i
\(463\) 5.45530e11i 0.551701i 0.961201 + 0.275851i \(0.0889595\pi\)
−0.961201 + 0.275851i \(0.911040\pi\)
\(464\) 8.36289e10 2.01898e11i 0.0837579 0.202209i
\(465\) −9.84769e11 + 4.07905e11i −0.976778 + 0.404595i
\(466\) 2.82474e11 + 6.81951e11i 0.277486 + 0.669911i
\(467\) 8.08384e11 + 8.08384e11i 0.786488 + 0.786488i 0.980917 0.194429i \(-0.0622853\pi\)
−0.194429 + 0.980917i \(0.562285\pi\)
\(468\) −3.39268e11 3.39268e11i −0.326916 0.326916i
\(469\) −6.44228e10 1.55530e11i −0.0614840 0.148435i
\(470\) 3.58927e10 1.48672e10i 0.0339286 0.0140537i
\(471\) −1.94661e11 + 4.69953e11i −0.182257 + 0.440008i
\(472\) 9.98598e11i 0.926087i
\(473\) −2.69051e11 1.11444e11i −0.247149 0.102373i
\(474\) 5.07018e11 5.07018e11i 0.461340 0.461340i
\(475\) −2.73909e11 −0.246879
\(476\) −4.46541e10 8.09659e10i −0.0398685 0.0722888i
\(477\) −4.95018e12 −4.37813
\(478\) 8.54635e11 8.54635e11i 0.748782 0.748782i
\(479\) 3.65710e11 + 1.51482e11i 0.317415 + 0.131478i 0.535702 0.844407i \(-0.320047\pi\)
−0.218287 + 0.975885i \(0.570047\pi\)
\(480\) 8.27376e11i 0.711405i
\(481\) 1.96381e11 4.74105e11i 0.167281 0.403851i
\(482\) −9.09663e11 + 3.76795e11i −0.767660 + 0.317975i
\(483\) 2.71132e11 + 6.54570e11i 0.226683 + 0.547260i
\(484\) −3.64512e11 3.64512e11i −0.301931 0.301931i
\(485\) 3.31488e11 + 3.31488e11i 0.272039 + 0.272039i
\(486\) −8.94587e11 2.15972e12i −0.727377 1.75604i
\(487\) 9.89297e11 4.09780e11i 0.796978 0.330119i 0.0532325 0.998582i \(-0.483048\pi\)
0.743745 + 0.668463i \(0.233048\pi\)
\(488\) −4.10956e11 + 9.92137e11i −0.328025 + 0.791922i
\(489\) 2.22708e12i 1.76135i
\(490\) −3.51215e11 1.45478e11i −0.275227 0.114003i
\(491\) 3.41388e11 3.41388e11i 0.265083 0.265083i −0.562032 0.827115i \(-0.689980\pi\)
0.827115 + 0.562032i \(0.189980\pi\)
\(492\) 1.72023e12 1.32356
\(493\) 1.05054e12 + 3.03669e11i 0.800941 + 0.231521i
\(494\) −1.04644e11 −0.0790573
\(495\) −3.82067e11 + 3.82067e11i −0.286033 + 0.286033i
\(496\) 4.25629e11 + 1.76301e11i 0.315764 + 0.130794i
\(497\) 2.58484e11i 0.190033i
\(498\) −8.96231e11 + 2.16369e12i −0.652962 + 1.57639i
\(499\) 7.66066e11 3.17315e11i 0.553113 0.229107i −0.0885794 0.996069i \(-0.528233\pi\)
0.641692 + 0.766962i \(0.278233\pi\)
\(500\) 2.06364e11 + 4.98207e11i 0.147662 + 0.356488i
\(501\) 3.23750e11 + 3.23750e11i 0.229583 + 0.229583i
\(502\) −9.96242e11 9.96242e11i −0.700161 0.700161i
\(503\) 8.05087e11 + 1.94365e12i 0.560772 + 1.35382i 0.909150 + 0.416470i \(0.136733\pi\)
−0.348377 + 0.937354i \(0.613267\pi\)
\(504\) −6.07577e11 + 2.51667e11i −0.419434 + 0.173735i
\(505\) 1.47231e10 3.55447e10i 0.0100737 0.0243200i
\(506\) 7.24779e11i 0.491505i
\(507\) −2.24328e12 9.29196e11i −1.50781 0.624556i
\(508\) −2.52971e11 + 2.52971e11i −0.168532 + 0.168532i
\(509\) 2.53218e11 0.167211 0.0836054 0.996499i \(-0.473356\pi\)
0.0836054 + 0.996499i \(0.473356\pi\)
\(510\) −8.77319e11 + 9.80581e10i −0.574238 + 0.0641827i
\(511\) 3.94177e11 0.255739
\(512\) −5.59640e11 + 5.59640e11i −0.359910 + 0.359910i
\(513\) 1.28757e12 + 5.33329e11i 0.820810 + 0.339991i
\(514\) 4.37968e11i 0.276763i
\(515\) −1.38764e11 + 3.35005e11i −0.0869248 + 0.209855i
\(516\) 1.00775e12 4.17424e11i 0.625791 0.259211i
\(517\) −2.73851e10 6.61136e10i −0.0168581 0.0406990i
\(518\) −1.64393e11 1.64393e11i −0.100323 0.100323i
\(519\) 4.75204e11 + 4.75204e11i 0.287493 + 0.287493i
\(520\) 1.07067e11 + 2.58484e11i 0.0642159 + 0.155031i
\(521\) −2.45956e12 + 1.01878e12i −1.46247 + 0.605776i −0.965128 0.261777i \(-0.915691\pi\)
−0.497344 + 0.867553i \(0.665691\pi\)
\(522\) 9.83797e11 2.37510e12i 0.579947 1.40012i
\(523\) 1.91077e11i 0.111674i −0.998440 0.0558369i \(-0.982217\pi\)
0.998440 0.0558369i \(-0.0177827\pi\)
\(524\) 2.93321e11 + 1.21498e11i 0.169962 + 0.0704007i
\(525\) 3.16035e11 3.16035e11i 0.181559 0.181559i
\(526\) −4.34895e11 −0.247713
\(527\) −6.40176e11 + 2.21468e12i −0.361536 + 1.25073i
\(528\) 3.24951e11 0.181956
\(529\) 3.22300e12 3.22300e12i 1.78941 1.78941i
\(530\) 8.81472e11 + 3.65118e11i 0.485252 + 0.200998i
\(531\) 4.07793e12i 2.22595i
\(532\) 1.76923e10 4.27130e10i 0.00957596 0.0231184i
\(533\) −8.97212e11 + 3.71637e11i −0.481529 + 0.199456i
\(534\) 2.52109e11 + 6.08645e11i 0.134169 + 0.323913i
\(535\) −2.48053e11 2.48053e11i −0.130904 0.130904i
\(536\) −1.37993e12 1.37993e12i −0.722130 0.722130i
\(537\) 3.80218e11 + 9.17927e11i 0.197310 + 0.476348i
\(538\) −1.33793e12 + 5.54188e11i −0.688514 + 0.285192i
\(539\) −2.67968e11 + 6.46931e11i −0.136752 + 0.330148i
\(540\) 1.23161e12i 0.623305i
\(541\) −6.38765e11 2.64585e11i −0.320593 0.132794i 0.216583 0.976264i \(-0.430509\pi\)
−0.537176 + 0.843470i \(0.680509\pi\)
\(542\) −9.61863e10 + 9.61863e10i −0.0478759 + 0.0478759i
\(543\) −3.06906e12 −1.51498
\(544\) −1.39805e12 1.11695e12i −0.684429 0.546813i
\(545\) 1.31265e12 0.637328
\(546\) 1.20738e11 1.20738e11i 0.0581402 0.0581402i
\(547\) 2.70957e12 + 1.12234e12i 1.29407 + 0.536021i 0.920195 0.391460i \(-0.128030\pi\)
0.373873 + 0.927480i \(0.378030\pi\)
\(548\) 9.11401e11i 0.431715i
\(549\) −1.67821e12 + 4.05155e12i −0.788442 + 1.90347i
\(550\) −4.22407e11 + 1.74967e11i −0.196833 + 0.0815311i
\(551\) 2.09244e11 + 5.05159e11i 0.0967097 + 0.233478i
\(552\) 5.80761e12 + 5.80761e12i 2.66239 + 2.66239i
\(553\) −1.26459e11 1.26459e11i −0.0575024 0.0575024i
\(554\) −9.54653e11 2.30474e12i −0.430578 1.03951i
\(555\) 1.99981e12 8.28350e11i 0.894687 0.370592i
\(556\) −5.41835e11 + 1.30811e12i −0.240453 + 0.580505i
\(557\) 2.09071e12i 0.920334i 0.887832 + 0.460167i \(0.152210\pi\)
−0.887832 + 0.460167i \(0.847790\pi\)
\(558\) 5.00702e12 + 2.07398e12i 2.18638 + 0.905628i
\(559\) −4.35428e11 + 4.35428e11i −0.188609 + 0.188609i
\(560\) 4.40006e10 0.0189065
\(561\) 1.80621e11 + 1.61600e12i 0.0769902 + 0.688826i
\(562\) 1.65596e12 0.700223
\(563\) 2.32844e12 2.32844e12i 0.976737 0.976737i −0.0229986 0.999735i \(-0.507321\pi\)
0.999735 + 0.0229986i \(0.00732132\pi\)
\(564\) 2.47634e11 + 1.02573e11i 0.103051 + 0.0426853i
\(565\) 5.69226e11i 0.235000i
\(566\) 1.56762e11 3.78457e11i 0.0642047 0.155004i
\(567\) −1.12972e12 + 4.67944e11i −0.459035 + 0.190139i
\(568\) −1.14669e12 2.76835e12i −0.462250 1.11597i
\(569\) −1.61356e12 1.61356e12i −0.645328 0.645328i 0.306532 0.951860i \(-0.400831\pi\)
−0.951860 + 0.306532i \(0.900831\pi\)
\(570\) −3.12114e11 3.12114e11i −0.123845 0.123845i
\(571\) 7.76365e11 + 1.87431e12i 0.305635 + 0.737869i 0.999836 + 0.0180877i \(0.00575782\pi\)
−0.694201 + 0.719781i \(0.744242\pi\)
\(572\) 1.57373e11 6.51860e10i 0.0614679 0.0254608i
\(573\) 6.23623e11 1.50556e12i 0.241672 0.583448i
\(574\) 4.39966e11i 0.169167i
\(575\) −3.70617e12 1.53515e12i −1.41391 0.585659i
\(576\) −4.22741e12 + 4.22741e12i −1.60019 + 1.60019i
\(577\) −1.89658e12 −0.712329 −0.356165 0.934423i \(-0.615916\pi\)
−0.356165 + 0.934423i \(0.615916\pi\)
\(578\) −1.01868e12 + 1.61482e12i −0.379632 + 0.601796i
\(579\) −1.46838e12 −0.542982
\(580\) 3.41676e11 3.41676e11i 0.125369 0.125369i
\(581\) 5.39661e11 + 2.23535e11i 0.196485 + 0.0813866i
\(582\) 3.31662e12i 1.19823i
\(583\) 6.72539e11 1.62365e12i 0.241107 0.582083i
\(584\) 4.22161e12 1.74865e12i 1.50183 0.622077i
\(585\) 4.37227e11 + 1.05556e12i 0.154350 + 0.372633i
\(586\) −1.69096e12 1.69096e12i −0.592372 0.592372i
\(587\) −2.11108e12 2.11108e12i −0.733894 0.733894i 0.237495 0.971389i \(-0.423674\pi\)
−0.971389 + 0.237495i \(0.923674\pi\)
\(588\) −1.00369e12 2.42313e12i −0.346261 0.835947i
\(589\) −1.06494e12 + 4.41114e11i −0.364592 + 0.151019i
\(590\) −3.00782e11 + 7.26152e11i −0.102192 + 0.246714i
\(591\) 5.06177e11i 0.170671i
\(592\) −8.64343e11 3.58023e11i −0.289227 0.119802i
\(593\) 2.67577e12 2.67577e12i 0.888591 0.888591i −0.105797 0.994388i \(-0.533739\pi\)
0.994388 + 0.105797i \(0.0337393\pi\)
\(594\) 2.32630e12 0.766702
\(595\) 2.44573e10 + 2.18818e11i 0.00799986 + 0.0715742i
\(596\) 1.17571e12 0.381673
\(597\) −4.37662e12 + 4.37662e12i −1.41011 + 1.41011i
\(598\) −1.41590e12 5.86486e11i −0.452770 0.187544i
\(599\) 4.66663e12i 1.48109i 0.672005 + 0.740546i \(0.265433\pi\)
−0.672005 + 0.740546i \(0.734567\pi\)
\(600\) 1.98272e12 4.78672e12i 0.624570 1.50785i
\(601\) 1.00654e12 4.16921e11i 0.314698 0.130352i −0.219743 0.975558i \(-0.570522\pi\)
0.534441 + 0.845205i \(0.320522\pi\)
\(602\) 1.06761e11 + 2.57743e11i 0.0331304 + 0.0799838i
\(603\) −5.63516e12 5.63516e12i −1.73571 1.73571i
\(604\) −2.62620e11 2.62620e11i −0.0802901 0.0802901i
\(605\) 4.69759e11 + 1.13410e12i 0.142553 + 0.344153i
\(606\) −2.51470e11 + 1.04162e11i −0.0757460 + 0.0313750i
\(607\) 4.05324e10 9.78540e10i 0.0121186 0.0292570i −0.917704 0.397264i \(-0.869960\pi\)
0.929823 + 0.368007i \(0.119960\pi\)
\(608\) 8.94736e11i 0.265539i
\(609\) −8.24277e11 3.41427e11i −0.242826 0.100582i
\(610\) 5.97671e11 5.97671e11i 0.174775 0.174775i
\(611\) −1.51317e11 −0.0439240
\(612\) −3.41975e12 2.73215e12i −0.985401 0.787270i
\(613\) −3.00944e12 −0.860821 −0.430411 0.902633i \(-0.641631\pi\)
−0.430411 + 0.902633i \(0.641631\pi\)
\(614\) 1.95475e12 1.95475e12i 0.555051 0.555051i
\(615\) −3.78452e12 1.56760e12i −1.06677 0.441872i
\(616\) 2.33476e11i 0.0653325i
\(617\) 2.56524e12 6.19303e12i 0.712598 1.72036i 0.0191924 0.999816i \(-0.493890\pi\)
0.693405 0.720548i \(-0.256110\pi\)
\(618\) 2.37008e12 9.81721e11i 0.653605 0.270732i
\(619\) 2.92247e11 + 7.05546e11i 0.0800095 + 0.193160i 0.958822 0.284007i \(-0.0916638\pi\)
−0.878813 + 0.477167i \(0.841664\pi\)
\(620\) 7.20299e11 + 7.20299e11i 0.195772 + 0.195772i
\(621\) 1.44326e13 + 1.44326e13i 3.89433 + 3.89433i
\(622\) 1.71707e12 + 4.14536e12i 0.459971 + 1.11047i
\(623\) 1.51806e11 6.28801e10i 0.0403732 0.0167231i
\(624\) 2.62948e11 6.34813e11i 0.0694287 0.167616i
\(625\) 1.82288e12i 0.477857i
\(626\) 1.66363e11 + 6.89097e10i 0.0432983 + 0.0179348i
\(627\) −5.74908e11 + 5.74908e11i −0.148558 + 0.148558i
\(628\) 4.86125e11 0.124718
\(629\) 1.30003e12 4.49744e12i 0.331152 1.14561i
\(630\) 5.17615e11 0.130911
\(631\) −7.83577e11 + 7.83577e11i −0.196766 + 0.196766i −0.798612 0.601846i \(-0.794432\pi\)
0.601846 + 0.798612i \(0.294432\pi\)
\(632\) −1.91536e12 7.93369e11i −0.477556 0.197810i
\(633\) 4.25313e12i 1.05291i
\(634\) −1.05661e12 + 2.55089e12i −0.259725 + 0.627032i
\(635\) 7.87063e11 3.26012e11i 0.192100 0.0795705i
\(636\) 2.51905e12 + 6.08152e12i 0.610491 + 1.47386i
\(637\) 1.04698e12 + 1.04698e12i 0.251949 + 0.251949i
\(638\) 6.45368e11 + 6.45368e11i 0.154211 + 0.154211i
\(639\) −4.68268e12 1.13050e13i −1.11107 2.68235i
\(640\) −4.15029e11 + 1.71910e11i −0.0977841 + 0.0405035i
\(641\) −1.13774e12 + 2.74674e12i −0.266184 + 0.642624i −0.999297 0.0374821i \(-0.988066\pi\)
0.733114 + 0.680106i \(0.238066\pi\)
\(642\) 2.48183e12i 0.576586i
\(643\) 1.02412e12 + 4.24204e11i 0.236266 + 0.0978646i 0.497675 0.867364i \(-0.334187\pi\)
−0.261409 + 0.965228i \(0.584187\pi\)
\(644\) 4.78778e11 4.78778e11i 0.109685 0.109685i
\(645\) −2.59745e12 −0.590919
\(646\) −9.48745e11 + 1.06041e11i −0.214340 + 0.0239568i
\(647\) −1.81314e12 −0.406782 −0.203391 0.979098i \(-0.565196\pi\)
−0.203391 + 0.979098i \(0.565196\pi\)
\(648\) −1.00233e13 + 1.00233e13i −2.23318 + 2.23318i
\(649\) 1.33756e12 + 5.54034e11i 0.295945 + 0.122584i
\(650\) 9.66781e11i 0.212431i
\(651\) 7.19773e11 1.73769e12i 0.157066 0.379190i
\(652\) −1.96635e12 + 8.14488e11i −0.426134 + 0.176510i
\(653\) −1.61219e12 3.89218e12i −0.346983 0.837690i −0.996973 0.0777478i \(-0.975227\pi\)
0.649990 0.759942i \(-0.274773\pi\)
\(654\) −6.56666e12 6.56666e12i −1.40360 1.40360i
\(655\) −5.34592e11 5.34592e11i −0.113484 0.113484i
\(656\) 6.77534e11 + 1.63571e12i 0.142845 + 0.344858i
\(657\) 1.72396e13 7.14087e12i 3.60980 1.49523i
\(658\) −2.62342e10 + 6.33349e10i −0.00545570 + 0.0131712i
\(659\) 3.69466e12i 0.763115i 0.924345 + 0.381558i \(0.124612\pi\)
−0.924345 + 0.381558i \(0.875388\pi\)
\(660\) 6.63813e11 + 2.74960e11i 0.136175 + 0.0564056i
\(661\) −1.45265e12 + 1.45265e12i −0.295975 + 0.295975i −0.839435 0.543460i \(-0.817114\pi\)
0.543460 + 0.839435i \(0.317114\pi\)
\(662\) 4.52046e12 0.914790
\(663\) 3.30312e12 + 9.54804e11i 0.663917 + 0.191912i
\(664\) 6.77138e12 1.35183
\(665\) −7.78465e10 + 7.78465e10i −0.0154362 + 0.0154362i
\(666\) −1.01680e13 4.21172e12i −2.00263 0.829517i
\(667\) 8.00788e12i 1.56657i
\(668\) 1.67445e11 4.04249e11i 0.0325371 0.0785515i
\(669\) 2.17076e12 8.99159e11i 0.418981 0.173548i
\(670\) 5.87804e11 + 1.41908e12i 0.112693 + 0.272064i
\(671\) −1.10090e12 1.10090e12i −0.209650 0.209650i
\(672\) 1.03234e12 + 1.03234e12i 0.195282 + 0.195282i
\(673\) 2.91309e12 + 7.03282e12i 0.547376 + 1.32148i 0.919423 + 0.393269i \(0.128656\pi\)
−0.372047 + 0.928214i \(0.621344\pi\)
\(674\) −6.20474e12 + 2.57009e12i −1.15812 + 0.479710i
\(675\) 4.92731e12 1.18956e13i 0.913572 2.20556i
\(676\) 2.32047e12i 0.427382i
\(677\) 2.32204e12 + 9.61822e11i 0.424836 + 0.175973i 0.584849 0.811142i \(-0.301154\pi\)
−0.160013 + 0.987115i \(0.551154\pi\)
\(678\) −2.84762e12 + 2.84762e12i −0.517545 + 0.517545i
\(679\) −8.27219e11 −0.149350
\(680\) 1.23266e12 + 2.23503e12i 0.221081 + 0.400860i
\(681\) 1.05497e13 1.87966
\(682\) −1.36052e12 + 1.36052e12i −0.240811 + 0.240811i
\(683\) −3.05018e12 1.26342e12i −0.536330 0.222155i 0.0980433 0.995182i \(-0.468742\pi\)
−0.634373 + 0.773027i \(0.718742\pi\)
\(684\) 2.18860e12i 0.382308i
\(685\) 8.30535e11 2.00509e12i 0.144129 0.347958i
\(686\) 1.25731e12 5.20794e11i 0.216762 0.0897857i
\(687\) −2.80079e12 6.76170e12i −0.479705 1.15811i
\(688\) 7.93831e11 + 7.93831e11i 0.135077 + 0.135077i
\(689\) −2.62770e12 2.62770e12i −0.444210 0.444210i
\(690\) −2.47385e12 5.97240e12i −0.415482 1.00306i
\(691\) −5.15663e12 + 2.13595e12i −0.860428 + 0.356401i −0.768875 0.639399i \(-0.779183\pi\)
−0.0915533 + 0.995800i \(0.529183\pi\)
\(692\) 2.45779e11 5.93362e11i 0.0407443 0.0983654i
\(693\) 9.53437e11i 0.157034i
\(694\) 3.82637e12 + 1.58493e12i 0.626137 + 0.259354i
\(695\) 2.38408e12 2.38408e12i 0.387605 0.387605i
\(696\) −1.03426e13 −1.67066
\(697\) −7.75791e12 + 4.27862e12i −1.24508 + 0.686683i
\(698\) 5.73116e12 0.913888
\(699\) 8.57503e12 8.57503e12i 1.35859 1.35859i
\(700\) −3.94616e11 1.63455e11i −0.0621203 0.0257311i
\(701\) 3.02645e12i 0.473372i 0.971586 + 0.236686i \(0.0760613\pi\)
−0.971586 + 0.236686i \(0.923939\pi\)
\(702\) 1.88242e12 4.54457e12i 0.292550 0.706278i
\(703\) 2.16263e12 8.95790e11i 0.333951 0.138327i
\(704\) −8.12242e11 1.96093e12i −0.124626 0.300874i
\(705\) −4.51324e11 4.51324e11i −0.0688077 0.0688077i
\(706\) −2.44243e12 2.44243e12i −0.369999 0.369999i
\(707\) 2.59798e10 + 6.27209e10i 0.00391065 + 0.00944114i
\(708\) −5.00992e12 + 2.07518e12i −0.749344 + 0.310389i
\(709\) −5.12696e11 + 1.23776e12i −0.0761995 + 0.183962i −0.957389 0.288801i \(-0.906743\pi\)
0.881190 + 0.472763i \(0.156743\pi\)
\(710\) 2.35845e12i 0.348308i
\(711\) −7.82168e12 3.23985e12i −1.14785 0.475457i
\(712\) 1.34688e12 1.34688e12i 0.196413 0.196413i
\(713\) −1.68817e13 −2.44632
\(714\) 9.72310e11 1.21701e12i 0.140011 0.175248i
\(715\) −4.05624e11 −0.0580426
\(716\) 6.71409e11 6.71409e11i 0.0954725 0.0954725i
\(717\) −1.83453e13 7.59886e12i −2.59231 1.07377i
\(718\) 3.24362e11i 0.0455481i
\(719\) 1.31125e11 3.16563e11i 0.0182980 0.0441753i −0.914466 0.404662i \(-0.867389\pi\)
0.932764 + 0.360486i \(0.117389\pi\)
\(720\) 1.92440e12 7.97111e11i 0.266869 0.110541i
\(721\) −2.44857e11 5.91138e11i −0.0337446 0.0814667i
\(722\) 3.33612e12 + 3.33612e12i 0.456903 + 0.456903i
\(723\) 1.14383e13 + 1.14383e13i 1.55683 + 1.55683i
\(724\) 1.12242e12 + 2.70975e12i 0.151820 + 0.366527i
\(725\) 4.66705e12 1.93316e12i 0.627367 0.259864i
\(726\) 3.32343e12 8.02348e12i 0.443989 1.07188i
\(727\) 1.10997e13i 1.47369i 0.676063 + 0.736844i \(0.263685\pi\)
−0.676063 + 0.736844i \(0.736315\pi\)
\(728\) −4.56111e11 1.88927e11i −0.0601837 0.0249289i
\(729\) −1.11343e13 + 1.11343e13i −1.46013 + 1.46013i
\(730\) −3.59653e12 −0.468739
\(731\) −3.50653e12 + 4.38902e12i −0.454203 + 0.568512i
\(732\) 5.83151e12 0.750725
\(733\) 8.53012e12 8.53012e12i 1.09141 1.09141i 0.0960293 0.995379i \(-0.469386\pi\)
0.995379 0.0960293i \(-0.0306143\pi\)
\(734\) 8.17583e12 + 3.38654e12i 1.03968 + 0.430650i
\(735\) 6.24555e12i 0.789364i
\(736\) 5.01463e12 1.21064e13i 0.629925 1.52077i
\(737\) 2.61393e12 1.08272e12i 0.326354 0.135180i
\(738\) 7.97040e12 + 1.92422e13i 0.989069 + 2.38782i
\(739\) −1.51001e12 1.51001e12i −0.186243 0.186243i 0.607827 0.794070i \(-0.292041\pi\)
−0.794070 + 0.607827i \(0.792041\pi\)
\(740\) −1.46274e12 1.46274e12i −0.179319 0.179319i
\(741\) 6.57908e11 + 1.58833e12i 0.0801648 + 0.193535i
\(742\) −1.55541e12 + 6.44273e11i −0.188377 + 0.0780283i
\(743\) −1.65219e12 + 3.98874e12i −0.198889 + 0.480160i −0.991585 0.129457i \(-0.958677\pi\)
0.792696 + 0.609617i \(0.208677\pi\)
\(744\) 2.18036e13i 2.60885i
\(745\) −2.58657e12 1.07139e12i −0.307624 0.127422i
\(746\) 7.56566e12 7.56566e12i 0.894380 0.894380i
\(747\) 2.76520e13 3.24926
\(748\) 1.36076e12 7.50480e11i 0.158936 0.0876560i
\(749\) 6.19009e11 0.0718668
\(750\) −6.42392e12 + 6.42392e12i −0.741352 + 0.741352i
\(751\) 2.87540e12 + 1.19103e12i 0.329852 + 0.136629i 0.541462 0.840725i \(-0.317871\pi\)
−0.211611 + 0.977354i \(0.567871\pi\)
\(752\) 2.75867e11i 0.0314572i
\(753\) −8.85793e12 + 2.13849e13i −1.00405 + 2.42399i
\(754\) 1.78300e12 7.38541e11i 0.200900 0.0832154i
\(755\) 3.38448e11 + 8.17086e11i 0.0379080 + 0.0915180i
\(756\) 1.53672e12 + 1.53672e12i 0.171099 + 0.171099i
\(757\) −9.37450e12 9.37450e12i −1.03757 1.03757i −0.999266 0.0383017i \(-0.987805\pi\)
−0.0383017 0.999266i \(-0.512195\pi\)
\(758\) 1.97358e12 + 4.76464e12i 0.217142 + 0.524226i
\(759\) −1.10010e13 + 4.55678e12i −1.20322 + 0.498391i
\(760\) −4.88388e11